diff --git "a/data/dm_maths/full_data_1/2664_11255.jsonl" "b/data/dm_maths/full_data_1/2664_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2664_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 11\/((-2431)\/(-6877)) - 22\/187?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/567)\/((1*-2)\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/40*(-10 - 0). Let l = b - -9. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686997 is divided by 5822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12636, -11136, -9636, -8136, -6636, -5136?\n\"Answer: 1500*p - 14136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74021593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4, 0 = -b - 3*h + 2*h - 4. Let d = 8 + b. Suppose 5*l - d = 2*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 - 156553636?\nAnswer: -156554040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.064 times 1.2\nAnswer: -0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40854 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -130018 and -129838 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + -39 + 223 - 101.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - -2cb?\nAnswer: 2dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 v, and 1 k when four letters picked without replacement from vxkkrvrxvrrvxvv.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 2*v**3 - 2*v**2)*(-2 + 2 - 2) + 2*v**3 + 5*v - 5*v + 4*v**3 - 25*v**3 + 166*v**3 + (2*v + v - v)*(-2 - v**2 + 2).\nAnswer: 141*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 3*p**2 + 2*p + 7. Let g be u(-3). What is the closest to 0.1 in g, -4, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17\/6, 2\/5, 0.834?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 6*h + 2. Let o be u(3). Suppose -8*r = -o*r - 5958. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, v: 2, d: 1, i: 4}. What is prob of picking 1 v and 3 i?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 2)*(-d - 1 + 1)*(3*d**2 + 3*d**2 + 2*d**2) to f*d**2 + w*d**3 + z + m*d and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-21))\/((-2)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -162*l**3. Let s be o(-1). Suppose -5*y + s - 12 = 0. Solve -4*u = -4, -y = 3*k + 2*k - 5*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 53.37397?\nAnswer: 16.012191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -0.3 (c) -1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -945*l - 3*y = -939*l - 42, -3*l - 23 = -4*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/8)*r*r**(-2\/85)*r*r)**7 assuming r is positive.\nAnswer: r**(11193\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(450)*-5)\/sqrt(9) + (1*2*sqrt(88))\/sqrt(11))**2.\nAnswer: 126*sqrt(2) + 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-21))\/(n\/(n**(7\/5)\/n))*n**2*n**(-27) assuming n is positive.\nAnswer: n**(-228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 144 + 10261?\nAnswer: 10425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(5\/2 + -2). Suppose -p*b = -0*b + 12. What is the second biggest value in b, 0.3, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (-97 + 90) - 66?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**4 + 1193*u**2 - 3*u**3 - 1191*u**2 + 5*u**3 - 18*u as y + j*u**4 + n*u**3 + g*u + f*u**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 8398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = s - 40. Let p = s - 53. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41986.\nAnswer: 2, 7, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 6 = -q. Let i = -9 - q. Find the second derivative of 2*y**4 - 4*y**4 + 4*y - i*y wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 1\/6*p**3 + 1\/12*p**4 - p + 0*p**2 - 1. Let t(y) be the first derivative of b(y). Factor t(a).\nAnswer: a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Suppose d*m - 4*m + 8 = 0. Suppose -m*f = -7*f + 125. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (42\/(-315) - (-127)\/(-60)))*-24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64862 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + g**2 - 5*g**2 + 0*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 29.87*0.1762\nAnswer: 5.263094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -9. Let a be 1\/(-2) - l\/2. Suppose -a*s = -4*j - 29, -j + 4*s - 17 = -4*j. Sort j, -4, 3 in increasing order.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -10. Suppose n - 5*w + 3*w = 41, -i*n = 3*w - 96. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -88499, -88504, -88513, -88526, -88543, -88564, -88589?\n\"Answer: -2*v**2 + v - 88498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1396 and 8.05.\nAnswer: 11237.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47445\/42874 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 2*i + 9. Let t be a(3). Solve 2*l - 10 = -t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/361198 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 8*u**2 - 26*u + 25. What is p(11)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.2825 + -0.0175. Let p = -33 - w. Round p to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -20. Let g = -19 + h. Solve g*o - 7 + 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from jlwlcwlcclc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -52*9\/(-36)*(11 - 10). Let f(j) be the first derivative of 3*j**2 - n - 1\/3*j**3 + 0*j. Determine f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 > 204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/5 - (-4 + 7 - 2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 305556, 4, 1\/7, -3\/8, 0.04?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 14. Suppose -k + b*k - 60 = 0. Calculate the common denominator of -75\/16 and 1\/3 - 685\/k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 206785 and 1.25419.\nAnswer: 206786.25419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 17*n - 30. Let y(m) = 14*m + 9. Let x(r) = 7*r + 5. Let w(a) = -7*x(a) + 4*y(a). What is the remainder when 59 is divided by w(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122479497 to the nearest integer?\nAnswer: 11067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 2 - 1) + 2 + -48 + 40.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n + 17. Let o(q) = q. Let z(r) = j(r) - 6*o(r). Let y be z(-5). Which is smaller: 0.8 or y?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6198529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1880, -1863, -1836, -1793, -1728, -1635, -1508, -1341?\n\"Answer: k**3 - k**2 + 13*k - 1893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 8 = -4*i - 0*i, -2*i = -4*y + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3*k + 60, n + 3*k - 90 = -4*n. Solve -5*a + n = -0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14a (base 14) to base 4\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2003 + 2127 = 0. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(5)*-2))\/(-3*sqrt(8)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/1)\/1*(-23)\/115. Let k be c*1\/2 - 136\/(-340). Factor 4\/5*p**2 + 2\/5*p**3 + k*p + 0.\nAnswer: 2*p*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -291488*o*s**3 + 400*o*s**2*y + 6*o*y - 20557*o - 2*y - 82 wrt s?\nAnswer: -874464*o*s**2 + 800*o*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 + 2)*(-197*z - 11*z - 3*z).\nAnswer: -2532*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 9*z - 12. Let n be v(8). Suppose 15*p + 800 = -25*p. Sort -5, n, p in descending order.\nAnswer: n, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88818650 divided by 6.\nAnswer: -44409325\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12750 - -12745. Let z = -8 + 15\/2. Which is the nearest to z? (a) 0.5 (b) v (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.17 minus -0.0448571448235?\nAnswer: -4.1251428551765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*z + 25 = w, 3*z = -4*w - 11. Let t(j) = -w + 7 - 5 + 23*j. What is the tens digit of t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 8. Let o be 2\/s - 145\/(-7). Let d = -17 + o. Calculate the smallest common multiple of d and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019882 to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 2*x + 4013*x**2 + 4106*x**2 - 6330*x**2 in the form g*x + z + t*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Suppose 5*j - 22 = -7. Suppose -u = -6*u + j*g, -g = -2*u + 1. Solve 9 = r*h + y - 2*y, -u*h - 3*y = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 14)*3\/63. What is the closest to -0.2 in -1\/3, b, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -20*a**2 + 2*a + 2. Let q be h(-3). Let j = -93 - q. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/2809? (a) 1\/5 (b) -14 (c) 8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-260)\/(-91))*2\/(-7)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-176)\/(-10))\/(-11))\/((-2)\/20). Let t be (-482)\/(-316) + 88\/v + -7. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00154 + -46858569.\nAnswer: -46858569.00154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-56) - 12\/(-28)) + 55\/(-25)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d*l**3*t**2 + 2*d*l**3*t - 4*d*l**2*t**2 - 5*d*l**2*t + 4*d*l**2 - 16*d*l*t**2 - d*t + 21519*l**3*t - 2*l**2*t**2 wrt l?\nAnswer: 54*d*t**2 + 12*d*t + 129114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5159 + -3037. Let k = 3323 - i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1044 - -42?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52944 is divided by 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, n: 1, q: 2, i: 2}. What is prob of sequence njji?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00462 rounded to 4 decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/43, 0.1, -0.019, 0.8, 3\/104?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003907 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10403 - -3140?\nAnswer: -2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188961?\nAnswer: 3, 62987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -76 + -201?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/55 (b) -16\/7 (c) 31\/5 (d) -3 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 64*i**3 + 216*i**2 + 224*i + 76.\nAnswer: -4*(i - 19)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150594 is divided by 1416.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138205 = 16*q - 135385 - 369444. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - -8 - (-3 - 16 - 2)?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -57. What is the second biggest value in -1.2, u, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -34.148\nAnswer: 10.2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -23*o**6\/120 - 2*o**5\/15 - 5*o**2. What is the third derivative of k(t) wrt t?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515173 is divided by 217?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (7 + -6) - (-25 + 16 + -69)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 12:59 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -111*n - 19. Calculate i(3).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 132, 263, 394, 525, 656?\n\"Answer: 131*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*v + 66*v - 241*v + 57*v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8179.13504 rounded to zero dps?\nAnswer: -8179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 14*v - 18*v + 82, -2*v = 6. Factor -6*g - 6 - 12 + q + g**2 - 14 - 10.\nAnswer: (g - 5)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138364 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12047175 and 344205.\nAnswer: 12047175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1100) - sqrt(1100))**2 + 5 + -4 + 5 - (5 + (sqrt(1100) + (sqrt(1100) - 2*sqrt(1100)) + -5 - sqrt(1100) - (3 + 2*sqrt(1100)))).\nAnswer: 10 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 1. What are the prime factors of o(-5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1 (c) 4 (d) -2.2945 (e) -0.1 (f) 2\/25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5871 + 5866. Which is the nearest to -1\/3? (a) y (b) 94 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*b + 50, -5*b - 148 = 2*a - 153. What is the greatest common factor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/672 and -5\/5008192?\nAnswer: 15024576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*q + 10, -q + 3 = -3*b + 14. Suppose 83 = t + b*r, -3*t + 4*r = 2*r - 193. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 10 = -5*p, -p - 7*f = -4*f + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 1 + -2)**2 + 1 + (sqrt(567) + -1)**2)*-1*-5.\nAnswer: -180*sqrt(7) + 5685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 9*j + 17, -2*h + 4*j = -69 + 35 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 1)\/((-9)\/(-117)). Let d(n) = -k + 4*n + 22 - 3*n. Let j be d(14). Sort j, 0.2, 2\/5 in ascending order.\nAnswer: j, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*f**4 - 5*f + 6*f + 0*f**4 + (-4 + 5 - 2)*(4*f**4 - 2*f**4 - f**4) to c*f + q*f**4 + v*f**2 + g + k*f**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -57, -98, -139, -180, -221?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 429032 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 7:05 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/20)*o*o\/(o**3*o))\/((o*o**(3\/11)\/o)\/o**(-1\/5)))**(-30) assuming o is positive.\nAnswer: o**(939\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/8 - (-27 - 58187\/(-2232))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -9. Let c = 191\/4 - 5913\/124. Is j > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 23 - 101 = 3*k, -57 = -2*i + k. Let r be (-6)\/(-14) - (-1587)\/21. Let o = r - i. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-351)*2\/3*3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 13*u**2 - 275*u + 99. List the prime factors of v(52).\nAnswer: 7, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -848*x + 848*x - 17 + 2*x**2 - 18*x**3. Let h(r) = -89*r**3 + 11*r**2 - 84. Let y(v) = -11*b(v) + 2*h(v). What is the first derivative of y(j) wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, m: 1, z: 1, r: 2}. What is prob of sequence mr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3498699.\nAnswer: 3, 83, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1 - (-8 + 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - y + 5*y)*(1 + 1 + 0) + (3 - 4 + 0)*(-y + 3*y + 0*y) + 45*y + 16 - 3*y - 11.\nAnswer: 42*y + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 97, 894, 3287, 8152, 16365, 28802, 46339, 69852?\n\"Answer: 146*x**3 - 78*x**2 + 9*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -22 - 13. Let q = 3 + 0. Solve q*a = 2 + m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*k + 32192 - 47650 = -32363 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5743 + 1201 = -379*v - 1015 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y - 28. Let s be j(4). Find the second derivative of -3*m**s - 54*m - 95*m**4 + 27*m**4 wrt m.\nAnswer: -852*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16699 - 16699.11061. Let u = -0.3739 + 0.2678. Let i = u - l. What is i rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 + 3.77. Let b = -122.9 + 108. Let u = b - -14. What is the third biggest value in 2\/9, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 2835\/(-360) - (94\/16 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 139.16046.\nAnswer: -417.48138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -5. Let v = -16\/5 - -38\/15. Let x = 5.382 - 5.582. What is the closest to x in v, r, -11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*q - 54, -3*r + 0*q - 3*q + 33 = 0. Suppose 161466 = -r*t + 15*t. Let l = 85466 + t. Round l to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -71*t**4 - 42*t**2 + 6*t - 1703. Let p(k) = 71*k**4 + 49*k**2 - 7*k + 1704. Let w(r) = -6*p(r) - 7*u(r). Differentiate w(h) with respect to h.\nAnswer: 284*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 304*v - 745. What is l(4)?\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/3, 1.3, 7, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 357105134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*l - 4*l. Let p(x) = 2179 - 4315 + 2154 - x. Let d be p(l). What is the greatest common divisor of 27 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-168))\/((-155)\/(-45) + -4)*100\/(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81640010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071 a factor of 755197435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + ((sqrt(1900) + 3)*5 - sqrt(1900)))**2 + 1 + -3)*-6.\nAnswer: 13440*sqrt(19) + 367164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (-34 + 106 + -74)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*o + 145 = 6*g, 4*g - 109 = -3*o. Solve -22 = -3*p - g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/4860 and 167\/60?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/77 + (-22)\/77 + (-5306)\/462 and 85\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = p + 184. Suppose 72 = l - p*u, -l + u + 68 = 8. What is the remainder when 166 is divided by l?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 - 1) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsaw when four letters picked without replacement from wvsaavaaawaassvwvwa.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 34435 * 0.01\nAnswer: 344.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 11 - 17 = 0. Solve -o = w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 581, 575, 565, 551?\n\"Answer: -2*n**2 + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 7:22 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2295 = 103087*w - 103222*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4319333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*q**3 + 38*q**2 - 8*q.\nAnswer: -q*(q - 4)*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.07196 decades?\nAnswer: 70.7196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(6*((sqrt(95) + (sqrt(95) - (sqrt(95) + sqrt(95)*-1 + sqrt(95))) - sqrt(95))*-6)\/(sqrt(20)*-4) + -4))**2.\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -50. What are the prime factors of (-3)\/12 + (-325)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000010010111000 (base 2) to base 12\nAnswer: -177b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*s**2 + 9\/7*s + 6\/7.\nAnswer: 3*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 + x + 1. Let s be c(-3). Suppose -2*w + 10 = -r, -2*w - 3*w + r + s = 0. Factor -w*l**2 - 3*l + 4*l**2 + l.\nAnswer: -l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*z - z + 6*z - 95 - 7*z**2 - 3*z - 5*z**2 wrt z?\nAnswer: -24*z + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91021684 * -3.\nAnswer: -273065052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 - 8*c - 10. Let u be y(-6). Suppose 8*z = 4*k + 3*z + 7, 0 = 2*z - 6. Solve -o + 3*h - 7 = 0, -u*h + 18 = k*o - 0*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*q - 414 = 0. Let s = q + 82. Suppose -3*j - s + 41 = 2*z, -44 = -3*z - 4*j. Calculate the least common multiple of z and 9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*16\/288*(-1)\/2. Which is the nearest to 0.1? (a) 3\/2 (b) 2\/17 (c) -16 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 28 - 7)*(7*h**5 - 3*h**5 - 3*h**5) - h**5 + h**5 - 2*h**5 + h**5 - h**5 + h**5.\nAnswer: -42*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-3)*(-12)\/(-32). Let 0 + 1\/2*c**2 + p*c = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4557 - 4250. Solve 300*w - c*w - 35 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4834681 or -8?\nAnswer: -4834681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -116. Suppose g + a = 3*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8103788 divided by -3652\nAnswer: -2219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19363*q + 10*q**2 - 19363*q.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*s + 2*s**4 + 6*s + 5*s**4 - 3*s**4 wrt s?\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914\/847369 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 119545335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**6*c)\/c*c)**(-50))**(2\/43) assuming c is positive.\nAnswer: c**(-800\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.4 > 346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 326.76821 and -383.\nAnswer: -56.23179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33800 by -6760.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -177*r + 31. Let f(b) = -3*b. Calculate i(f(n)).\nAnswer: 531*n + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41607 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/13 less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 8, -0.13, -907, 1 in descending order.\nAnswer: 8, 1, -0.13, -12, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 2*q)*(1 - 3 + 4) + q + 7 - 7 + 0 + 2*q + 0.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000201445 rounded to 6 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4347 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(-4) + (-8)\/(-32). Let x be 2\/j*(-159)\/(-2). Is (-7 - x)\/(4\/10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in -14, -20, 4, 3\/19, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -31, 0, 3 in descending order.\nAnswer: 5, 4, 3, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1942 - 826. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.03, -2, 1, 59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -184, -1871, -6442, -15337, -29996, -51859, -82366?\n\"Answer: -240*x**3 - 2*x**2 - x + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*y**5 + 5*y + 31*y**5 - 4*y wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765.\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 347739 and 86478.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 47?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208408*n + 208407*n - 625225*n + 208419*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -28. Suppose 3*j = -2*g + 34, 2*j = k*g - 1 - 3. Suppose q - 32 = -j. Calculate the greatest common factor of 24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {t: 6, p: 3, a: 9, n: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/2 + (-5 - (-5 - -3)). Let d = 22 - w. Is 6*(-3 + (-7)\/d) - -1088 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:58 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12624*j + 19 + 0 - 19.\nAnswer: -12624*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (135\/18)\/((-17)\/10 + 2). Solve 3*q = -2*q + k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**4\/8 - x**3\/2 + x**2\/2 - 6. Factor v(i).\nAnswer: i*(i - 2)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 + 8)*1\/(-1). Let a(c) = c**3 - 5*c**2 + 6*c - 1. Let v be a(u). Suppose v*y = 2*y + 50. Calculate the greatest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 5*i**4\/4 - i + 4. Let m be c(1). Suppose m*n = -4*x + 188, -3*x - n + 131 = -3*n. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221149079.445419 + 4\nAnswer: -221149075.445419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/8 (b) 17 (c) -3 (d) -0.3 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(204) + sqrt(204)*-3))\/((sqrt(96)*4)\/sqrt(8)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -15. Suppose 0*d + 47 = 4*p - z*d, -5*p + d = -45. What is the least common multiple of p and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1487*q + 1478*q + 30816. Does 85 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10745011?\nAnswer: 373, 28807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u. Let y(t) = -2*t. Let r(c) = -3*j(c) + 8*y(c). Suppose 3*a = 3*x - 4*x + 11, -3*x = 5*a - 25. Let d(b) = 4 - 3*b - 4 + a*b. Calculate r(d(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 20*v + 16*v + (-2 + 1 + 2)*(-2*v + 3 - 3) - v - 1 + 1 + 15*v + 18 - 18.\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(-3*sqrt(128)))**2.\nAnswer: 13\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/(110\/(-8)))\/((-4)\/(-10)). Find z, given that 0 + 0*z - 1\/2*z**r + 1\/2*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -135.03 + 134.83. What is the second biggest value in a, -1\/2, -4\/295?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**5 + 6*w**5 + 9*w**5 + (2*w**2 + 3*w**2 + 6*w**2)*(3*w**3 + 2*w**3 + 2*w**3) + 3*w**5 - 2*w**5 + w**5.\nAnswer: 89*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 69 + (39 - (11 - -3)) + -14 + -27\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -14 + 15\/4*s**4 - 4*s**2 + 0*s + 0*s**3. Find the second derivative of h(n) wrt n.\nAnswer: 90*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 6 = 2*z, 116*z - 4*v - 27 = 111*z. Let g(p) = -1 + 4*p + 0*p - 3*p. Calculate the remainder when g(6) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3400 is divided by 140.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7011932971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z**2 - 13*z**3 + 0*z**4 - 33 + 0*z - 33\/5*z**5. What is the third derivative of a(q) wrt q?\nAnswer: -792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -72, 1, 0 in increasing order.\nAnswer: -72, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from bbbbbobbobbbobb?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20542 and 66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvddhdttddtddtvvtd. What is prob of sequence ddvd?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-10))\/((-6125)\/70000)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17664 or 17662?\nAnswer: 17662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 - 21 = -5*r, 3*r - 35 = 4*i. Let z(v) = -v**2 - 8*v + 2. Let j be z(i). Suppose j*c + c = 6. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 + (-1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -6*x + 24, -x + 4*f + 20 = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.06033975?\nAnswer: -0.006033975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -43. Calculate the remainder when d is divided by (-6)\/(-27) - (-237)\/27.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, v: 2, f: 2, m: 6}. Give prob of picking 2 v and 1 f.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 626, 2579, 5818, 10337, 16130, 23191, 31514, 41093?\n\"Answer: -l**3 + 649*l**2 + 13*l - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123879314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3\/7 - 156*p**2\/7 + 472*p + 3456\/7 = 0. Calculate p.\nAnswer: -54, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 10.\nAnswer: -5, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -840*r + 175. Let c(a) = -29*a + 6. Let z(j) = 175*c(j) - 6*x(j). Let f(m) = -m. What is -30*f(d) + z(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9483523ml?\nAnswer: 0.0009483523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 5*v + 7. Let y be c(6). Let j = -59.41 - -61.41. What is the closest to y in 1, j, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.008391336?\nAnswer: 0.0016782672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-64))\/((-3)\/(-18204)). Round g to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.03 - -0.17. Let o = 0.292 + -0.092. Let i = m - o. Is i greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 1:29 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2344 divided by -2344.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttgzzgzzgzy. Give prob of sequence ytt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -1\/42*a**4 + 200*a + 0*a**3 + 36\/7*a**2 + 0. Factor b(x).\nAnswer: -2*(x - 6)*(x + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 - 3*c**2 + 2*c**2 + (c**2 + 2*c**2 + 0*c**2)*(1 + 3 - 2) - 4*c + 2*c**2 + 4*c + (-26*c + 11*c - 3*c)*(-3*c + 0*c + 4*c).\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2*q = -2*f, -4*f = -2036*q + 2041*q - 12 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 165\/(-2860)*(-44)\/18. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28 + -30 + (-180)\/(-1). Let n = b - 157. Sort n, -2, 1 in ascending order.\nAnswer: -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -57, -78, -95, -108, -117?\n\"Answer: 2*q**2 - 31*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2127154777 to the power of 1\/2, to the nearest integer?\nAnswer: 46121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 1. Let k be q(-2). Let i be -4 + k - (0 - -2). Let h = -21 + i. What is h rounded to 0 decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 1.4343?\nAnswer: 15.7773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-4) + (-2)\/4. Let s = n + 6. Solve 5 = -s*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 13. Let o be v(8). Solve b + 5 = q, -q = -o*q + 4*b + 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3171897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0 (c) 3\/5 (d) 813\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, a: 6}. What is prob of sequence waa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1016454 * -421\nAnswer: -427927134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 = 97*h + 10*h + 33. Let k(f) = f. Let r be k(5). Solve -g = -r*q - 18, 0 = h*q + g + 12 + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 - 158.4. Let s = c + 18.4. Put -120, s, 2 in ascending order.\nAnswer: -120, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4*x**3 + 48*x**2 - 140*x = 0.\nAnswer: 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 110*q + 24. Let h be m(21). Suppose -8*y + 1930 + h = 0. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00732527956 rounded to six decimal places?\nAnswer: 0.007325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3144460*p**3 - 6288928*p**3 + 3144430*p**3.\nAnswer: -38*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*k = -k - 20, -2*n = 3*k + 8. Suppose g - 6 = -n*g. Suppose 0 = 5*s - 15 - 0. Solve 3*o - 2 = -g*b - 0, -3*b = -s*o + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 3*f**2\/2 - 1. Suppose 7*q - 1196 = 3*q. Let l(h) = -q + 299 + 4*h. Calculate n(l(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20848008 divided by -5212002?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2. Let f(q) = 72676997*q**2. Give f(z(g)).\nAnswer: 72676997*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -107, 793, 2293, 4393, 7093, 10393?\n\"Answer: 300*u**2 - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 12:30 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*m**4*s - 241*m**2*s**2 + 4742*s**2 wrt m?\nAnswer: -20*m**3*s - 482*m*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 348, 554, 780, 1026, 1292?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2460 and 2460 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(8)*-2 + sqrt(8))\/sqrt(4) + 0 + sqrt(6)\/sqrt(48) + (sqrt(242) - (1 + sqrt(242)))**2.\nAnswer: sqrt(2)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.382 to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 22428 = -12*l. What is the thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*q + 42*q + 3, -v = -5*q + 11. Sort v, 17, -2 in ascending order.\nAnswer: -2, v, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 29875 = -31*g. What is g rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 10:25 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -678.\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4564*o + 1406*o - 9*o**2 + 10*o**2 to the form k*o**2 + l*o + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4 = -0*v. Let j = v - 0. Differentiate -3 - 4*i**4 + 4*i**4 + i**j wrt i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 8*p - 3. Suppose 2*y + 26 + 2 = -5*o, 0 = -4*y + 5*o - 56. Let d = -8 - y. Is 9 a factor of h(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 = 5*f - 2, f + 2*b = 4. Suppose 4*m - f = 6. What is the third derivative of 9*y**5 - 3*y**6 - 9*y**5 - 3*y**m wrt y?\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -675 * -41\nAnswer: 27675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*16\/(-1152)*-3*20\/65?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-6))\/(((-12)\/(-4))\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4))**11*h**(-8)*h**1)**(-9) assuming h is positive.\nAnswer: h**(153\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 11:51 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12128 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*(-3 + -1*sqrt(128) + -3) + -4)*1)**2 + -4.\nAnswer: 3072*sqrt(2) + 5628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 14. Suppose q = 5*u + 116, -z*q + 3 = -u - 5. What is the units digit of (1\/4)\/((-3)\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51711 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 3*a**2 - a**2 + (3*a - 5*a - 5*a)*(-2*a + a - a) + 0*a**2 + 3*a**2 - 18*a**2 - 4*a**2 + 4*a - 4*a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83 - 1. Let n = 150 + f. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 11:11 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 302689550 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 645, 1338, 2063, 2820, 3609?\n\"Answer: 16*x**2 + 645*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(-15 - -18).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*f + 4*f**2 + 33*f + 3*f**2 - 10*f**2 - 2 to the form d*f**2 + n + u*f and give u.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -255184.8037 rounded to the nearest one thousand?\nAnswer: -255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 386085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 3:44 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9 + 0.1. Let m = z - -2. Let i = 1.3 + -1.4. Which is the nearest to 1\/2? (a) i (b) m (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 38*a + 184 - 580 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - (-2 + 2) - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*v + 5*b, 0 = -5*v - b + 2*b + 58. Suppose -v + 3 = -4*m. Solve -3*a = m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29\/11, 0.4, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46a8 (base 11) in base 3?\nAnswer: -22110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8744 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16972*k**3 + 3446*k**2 + 105098016*k wrt k.\nAnswer: 101832*k + 6892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 62, -1, 37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from ewejjeejjeeeeeeek?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -439688*b. Let n(h) = 18*h**2. Give d(n(w)).\nAnswer: -7914384*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*l + 12*l + 4*l**2)*(2*l + 2*l - 2*l)*(2 + 0 - 1 + (-1 + 0 - 1)*(-1 - 2 - 1)) to the form o*l + z*l**2 + u*l**3 + s and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 + 45*h - 11. Let o be q(-7). Which is smaller: o or 312?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*f - 14*f - 86 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (-63 - 36 - -55)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9248730 is divided by 1924?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020012101 (base 3) to base 6.\nAnswer: 304014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -17*m. Let f(g) be the first derivative of -2*g**3\/3 - 7*g**2\/2 + 3*g + 66. Let c be f(-4). What is l(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1870, -7479, -16828, -29917, -46746?\n\"Answer: -1870*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 14*t + 12. Let n be j(-1). What is the closest to 2\/11 in -1\/4, -6, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143806080 rounded to the nearest 1000000?\nAnswer: 144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 211\nAnswer: 38\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**4 - 613*h**3 + h + 475?\nAnswer: 36*h**2 - 3678*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 22*q - 1. Let g(w) be the third derivative of 0 + 208*w**2 + 1\/24*w**4 + 0*w + 0*w**3. Calculate f(g(d)).\nAnswer: 22*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3 - 95*n**2 + n**3 + 187*n - 960 + 2*n**3 + 373*n = 0 for n.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 269 = -5*h, 5*p - 577 = h - 92. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/18927 and -13\/342.\nAnswer: 719226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -45*q**3 + 2*q**2 - 7*q + 7. Let d(a) = -22*a**3 + a**2 - 3*a + 3. Calculate -7*d(f) + 3*v(f).\nAnswer: 19*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 47, -3, -9 in descending order.\nAnswer: 47, 0.2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + ((-19)\/(-57))\/(1\/(-3)). Let t(u) = u + 9. What is t(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - -28. Let p be m\/7 - (-4)\/14. Calculate the highest common divisor of p and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2 + 10160*y + 50775 = 0. What is y?\nAnswer: -10155, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744*y + 245*y + 249*y + 44*y**2 + 250*y - 50*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10253039 is divided by 1175?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*l - 31 = l, 1 = 3*q + l. Let z be (1 + q)*(-2)\/6. Let y be (1 - 3) + z + 3. Solve 2*b - 2*v = 4, -2*b - 4*v + 3 - 23 = y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*i - 1 + 32*i + 220*i)*(-2 + 8*i - 10*i + 4) in the form k + n*i**2 + j*i and give n.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 = -0. Let t be (o - -1)\/(0 + -1). Suppose 0*k + 4805 = 2*k - w, -4*k - 2*w + 9590 = t. Round k to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -903134 divided by -1.\nAnswer: 903134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61\/((-2)\/(40\/(-85)) + -4).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**18*w)\/(((w\/(w*w**(-14\/3)))\/w)\/w) assuming w is positive.\nAnswer: w**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*l + c, 3*l + 2*c - 16 = l. Suppose -2*q + l*q = 9. What is the first derivative of 1 - 6 + 215*i**q - 217*i**3 wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1551, 1, 2, 33, -5.\nAnswer: -1551, -5, 1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 55, 94, 135, 172, 199, 210, 199?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/((-15)\/300). Find the common denominator of ((-10)\/4)\/(24\/27) and (-182)\/36 + 1 + 90\/k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43\/3 - -131\/9. Let u be (3*-1)\/((-24)\/(-32)). Let z be 1\/u*-4*-2. Put z, 1\/2, i in ascending order.\nAnswer: z, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -1 + 3*-1. Let b(f) = -50*f - 1. Is b(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37692477 is divided by 336.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let x be d(1). Let n = -4\/5 + x. Let i = 1417\/4 - 354. Sort i, -5, n in decreasing order.\nAnswer: i, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*u + 3 = 26, -3*u + 46 = 2*m. Suppose -m*o + 4 = -22*o. Factor -4\/3*q**3 - 14\/3*q + 4\/3*q**o - 16\/3*q**2 + 2\/3*q**5 - 4\/3.\nAnswer: 2*(q - 2)*(q + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -289, -283, -265, -229, -169?\n\"Answer: z**3 - z - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 42*y**2 - 40*y - 16. Calculate n(20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 49*c**3 + 40*c**3 - 4*c**2 + 2*c**5 - 2*c**5 + c**5 + 2*c**5 + (5*c**3 - 4*c**3 + c**3)*(-c**2 + 2*c**2 - 2*c**2).\nAnswer: c**5 - 9*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 8*k + 14. Let z be r(6). Suppose -7*o = -z*o - 5*x - 50, 47 = 5*o - 2*x. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 277, 3\/43 in descending order.\nAnswer: 277, 2, 3\/43, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v*v**(1\/5))\/v))\/v**(-5\/2))\/(v**(-3\/5)\/(v**(-1\/6)*v*v)) assuming v is positive.\nAnswer: v**(101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:58 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 109292000 rounded to the nearest one million?\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 33) + -63 + 90?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/365?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 - 2*u**2 + 2*u**2)*(40 - 60 + 99)*(0 - 1 + 3) in the form n + h*u + d*u**2 and give d.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000111111010 (base 2) in base 6?\nAnswer: 343030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.05 - 9.05. Which is the closest to s? (a) 0.4 (b) 0.014 (c) -2\/17 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232661 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 5\/12*u**4 + 1\/2*u**3 + u + 0 + u**2. What is the remainder when t(-2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 5. Let g be d(-8). Suppose -24 + 148 = 4*f + 3*m, -f - g*m = -31. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g = 6*g + 4*g - 1722 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2 = 3*r, 6 = -286*r + 285*r - 5*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592756?\nAnswer: 2, 11, 53, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138020860 and 5220.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.56. What is the nearest to x in 0, -1, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + r + 7. Let k(v) = -v. Let z = 338 + -334. Suppose 0 = -z*q - 0*g - g, 0 = 3*g + 12. Calculate q*k(d) + f(d).\nAnswer: d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85521143 or -85521142?\nAnswer: -85521143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Let p be (-2 + (-6 - -1) + 2)*(-36)\/60. Solve k - p = -b*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*((-8)\/(-6) + -1). Let u(v) = -2 + 4*v**2 - 4*v - j*v**2 - 2. Give u(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 12*j + 7. What is c(9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 68040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132000 and 2000.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59\/160 - -1\/160. Let z = -0.29 + 14.29. Let k = 13.4 - z. Sort 5, o, -5, k in decreasing order.\nAnswer: 5, o, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u - 1 + 1)*(255*u**3 + 6400*u - 6400*u) as j*u + y*u**2 + x*u**4 + g + i*u**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 5*f**2 - 8*f + 9. Let s be q(6). Let b be (((-117)\/s)\/3)\/1. Let x = b - 10. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from bbrkkbbbzkbb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - (-260)\/36 - (-3)\/27. Let v = 0 - 0.1. Sort v, -2\/17, -0.4, p.\nAnswer: -0.4, -2\/17, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3.5, 5, 2\/9 in increasing order.\nAnswer: -0.3, 2\/9, 3.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 68*r - 188. Let o be v(5). Calculate the highest common factor of o and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -90*n**2 - 26122*n - 6371. Calculate o(-290).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 5 - 1319*c + 1247*c + (-5 - 1 + 4)*(0*c + 0*c + 2*c) - 3*c - 3*c + 4*c.\nAnswer: -78*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190432648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) 0.4 (c) -0.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -6) + (1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (4 + 0) - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 2:21 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11297 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -834769720 + -4.112.\nAnswer: -834769724.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyvyyyvyvvyyvvvyvvv. What is prob of sequence vv?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -864, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -36 - 8 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7974644 and -7974641 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/15 - 83\/60. Let t = p + 0. Which is the second smallest value? (a) 5 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 9:16 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 j, and 1 r when four letters picked without replacement from {r: 5, q: 12, c: 1, j: 1}?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5\/11 + 3*z**4\/11 - 4*z**3\/11 - 16*z**2\/11 + 16\/11 = 0. Calculate z.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/12)\/(906\/(-4077))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365487341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1496147?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 0*a**6 + 0*a**5 + 0*a**4 + 0*a**2 - 1\/42*a**7 + 0 - 4*a - 2\/3*a**3. What is the second derivative of g(s) wrt s?\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246*b**2*r**2*u**3 - 15*b**2*r**2*u**2 - 4*b*r**2*u**2 + r**2*u**3 + 43*r**2*u**2 wrt u?\nAnswer: -1476*b**2*r**2 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 10109971, 1\/7, -3 in decreasing order.\nAnswer: 10109971, 0.3, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 7.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 1398410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 0.09061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/11 + 24*o**2\/11 + 72*o\/11.\nAnswer: 2*o*(o + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(847) + 4*sqrt(847) - sqrt(847))*-2 + 4)**2*-3.\nAnswer: -650544 + 4224*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43352 - -43353. Suppose 5*y + 1 = -4. What is the closest to 5\/3 in -2\/3, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 84 = 6*b - 8*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 26657*r**2. Let d(z) = 52*z. Give o(d(k)).\nAnswer: 72080528*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 5*d**2 - 10*d - 2. Calculate b(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 227969474 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 902\/5 and 179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 271 = 13*c, -3*c - 297 = -4*v + 210 - 226 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -785411 (base 12) in base 14?\nAnswer: -37c845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 4*s**2 + 4*s**2 - 1 + 1 + s**2 + (-2*s - 2 + 2)*(3*s + s - 2*s) + 3*s**2 + s**2 - 2*s**2)*(4*s**3 + 5*s**2 - 5*s**2).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -1\/6, -648\/7, 2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2239.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 244\/(-41) - -6 - (-8738147)\/(-451). Which is bigger: -19376 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -9\/8, 1\/77, 3, 97 in decreasing order.\nAnswer: 97, 4, 3, 1\/77, -9\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(450) + (sqrt(450) - sqrt(450)*2)*3 - sqrt(450))*1)\/(-2*(-5*sqrt(18)\/sqrt(2) - (sqrt(1296) + sqrt(1296)*1))))**2.\nAnswer: 1907\/1682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1751\/205 - -13\/82. Let q = 1817\/3894 + 22\/177. Find the common denominator of k and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/5 - 16039552*g\/5 - 16079201772544\/5.\nAnswer: -4*(g + 2004944)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = 1. Let d(y) = -y + 1. Let z(p) = -5*p - 4. Let r(s) = t*d(s) + z(s). Is r(-2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 8*d**2 + 8*d + 10. Suppose -5*o - 11 = -4*o - 4*l, -1 = -l. Let g be y(o). Solve 8*n - g*n + 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*s + 8*w, 623*s - 2*w - 12 = 627*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 3) + -32 + 3. Let p = z - -33. Let y(w) = 8*w**2 - 3*w - 1. Let l(v) = v. Let q(b) = p*y(b) + 3*l(b). What is the derivative of q(a) wrt a?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-3*c + 2*c - c) + 4*c - 6*c + c - 2*c + 0 + 0.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3265262.\nAnswer: 2, 7, 11, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyuwahyw. Give prob of sequence ay.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*r - 5957 + 617*r - 243*r.\nAnswer: 2*r - 5957","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {s: 2, e: 1, r: 3, a: 1, i: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 1\/((-8)\/(120\/(-63)) + -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*i - 351*i - 149*i - 124*i - 470*i.\nAnswer: -1449*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441 = 14*o + 343 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/((-16)\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1784 and -37.\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/6 - -3)\/((-5)\/(-10)). What is the third derivative of 2*y**2 - 3*y**3 - 9*y**2 - 11*y**2 - 12*y**4 - l*y**2 wrt y?\nAnswer: -288*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15008950 is divided by 2108.\nAnswer: 2098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34633300926*q**2 - 34633300926*q**2 + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7447831348 to the power of 1\/4, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/((-1)\/(-18)). Suppose 0 = -4*q + 29 - u. Which is the third biggest value? (a) 4 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 2. Let l be u(-1). Let m(x) = -x**3. Let r(j) = j**3 + 10*j**2 - 8*j - 11. Let q(t) = l*r(t) - 4*m(t). Is q(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-26)\/(-2) - 2) + 0\/(-2). Suppose -3*p = -j*p + 16. Solve -4*z = -p*z - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26707173 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*i**2 - 23*i**2 + 14*i**2 + 35*i**2.\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245337?\nAnswer: 3, 53, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19716355669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 20174 - 10082 + 2*o**2 + 11*o - 4*o**2 - 2*o**4 - 10089 + 19*o**3 as q*o + t*o**3 + l + x*o**4 + g*o**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 3. Let u be a(5). Let d(q) be the third derivative of -1\/90*q**6 + u*q**2 + 0*q**3 - 1\/315*q**7 - 1\/90*q**5 + 0*q + 0 + 0*q**4. Factor d(w).\nAnswer: -2*w**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -184, -286, -404, -544, -712, -914, -1156?\nAnswer: -1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 2. Let f(l) = 8*l - 30. Let t(o) = -f(o) - 10*w(o). Let j be t(-25). Solve j*p - 1 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84870*x**4 - 99544*x**2?\nAnswer: 2036880*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - b**2 + b + 2*b**2 + 2*b to n*b**2 + z + j*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f + 5653 + 15371 = 0. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 703 by -37.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18 + 17)\/((-1)\/(-4)) + 6. Let y(p) = 31*p**2 - 2*p - 11 + 12 - 27*p**j. Calculate y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 + (-38)\/(-6))*(-1 - -1). Is -1\/50 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 + 10*k - 135*k**3 + 137*k**3 - 4*k**2)*(0*k + 0*k + 2*k).\nAnswer: 4*k**4 + 2*k**3 + 20*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8+0.456\nAnswer: 8.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*s + 1653 - 1800 = 2704 + 3005 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 2 - 1\/4*y**4 - 7\/2*y**2 + 7\/3*y**3 + 3*y. Calculate the smallest common multiple of p(5) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 7\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8851*m**4 + 35345*m**3 + 244686121*m**2 wrt m.\nAnswer: -212424*m + 212070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*v**9)\/v)\/((v\/(v*v*v**17\/v))\/v*v*v) assuming v is positive.\nAnswer: v**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4139.\nAnswer: 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -840109\nAnswer: -33\/840109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208 and 533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*x - 145*x - 30 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 288619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2994 divided by 2\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2*j**3\/3 - 19*j**2 + 132*j + 222. Factor b(o).\nAnswer: -2*(o - 3)*(o + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 65*m**4\/24 + m**3\/6 + m**2 + 18*m. Let d(a) = -27*a**2 - 1. Give d(g(p)).\nAnswer: -114075*p**2 - 3510*p - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8458823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbbb when four letters picked without replacement from yjyjbybbjbjjyjjyjyjj.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:43 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16139 - -14855. Round k to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8602003.\nAnswer: 19, 167, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u. Let p(r) = 8*r - 4. Calculate p(i) - 6*s(i).\nAnswer: 26*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2 = 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1337\/290 + 3\/290. Suppose 0 = -114*p + 112*p - 10. Does h = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -52 in descending order.\nAnswer: 15, 2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715947642 to the power of 1\/2, to the nearest integer?\nAnswer: 41424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2547203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -802*u + 7197. What is p(9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 29 = 8. Let g(p) = -p + 5. Let c be g(-9). Calculate the highest common factor of t and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1391 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (((sqrt(88)*-1 + sqrt(88))*2)\/(1*sqrt(648) + sqrt(648)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 138160*a**2 - 35 + 3*a**3 - 9*a**3 - 138158*a**2 as o*a**2 + k*a + m*a**3 + s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - w - 1. Let t(f) be the first derivative of 2 + 2*f**2 + 5\/3*f**3 + 5*f. Let y(l) = t(l) + 4*v(l). Differentiate y(a) with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 293*b - 60*b - 3029 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:43 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 9:20 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309152801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3751 - 56348\/15. Let m(g) = -37*g. Let w be m(3). Let r = w + 70. What is the common denominator of i and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3\/7 - 2*o**2\/7 - 11*o\/7 + 12\/7 = 0. Calculate o.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104104221 (base 7) to base 3.\nAnswer: -102202201110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 114 + 59 + 7*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2961 and 1540848.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 8 = -4*u + 4*g, -5*u - 22 = -3*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 84. Let w be (k\/4)\/((-2)\/(-4)). Let x = w - -18. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*b + 78. Let x = b - 10. Solve x*r + 0*r + 16 = -3*z, 10 = -2*z - r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r = -10*r - 16. Solve v - r = s + 3, -v = s + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 - 22*r**2 - 48*r + 72 = 0. Calculate r.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -98, 208 in ascending order.\nAnswer: -98, -23, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6*-1*(171\/9)\/(-19)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(((-3)\/(-1))\/((-51)\/17))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from dbedddeddddbd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**5\/15 - l**2. Let b(g) = g. Determine v(b(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*g - 1. Find the common denominator of (-10)\/44*5 + g and 18\/(-60)*(-12450)\/(-360).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625.9135 weeks to seconds.\nAnswer: 378552484.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1233, 884, -43, -1848, -4831, -9292?\nAnswer: -15531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16*t**4 + 64*t**2 + 2*t + 9907 wrt t.\nAnswer: -64*t**3 + 128*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5903, 12060, 18211, 24356, 30495?\n\"Answer: -3*l**2 + 6166*l - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/((-100)\/(-195)))\/54. Let x = -1\/72 - j. Let q = 4 + -1. Sort -1\/5, q, x.\nAnswer: -1\/5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -33843.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815.856g in kilograms?\nAnswer: 3.815856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoai when four letters picked without replacement from hfoffahiaf.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let a(c) = -2*c. Suppose -235 = v - 233. Let y(t) = v*a(t) - 5*z(t). Let j(s) = s**2 - 24. Determine y(j(w)).\nAnswer: -w**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 21*v. Let x(p) = -5*p. Give -6*h(j) - 26*x(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 227172 or 252?\nAnswer: 227172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r - 15. Suppose -28 = -3*d + d - 3*k, 4*d + 3*k - 56 = 0. What are the prime factors of q(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/18)\/((-1)\/2))\/(19460\/81732)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018 take away 1643180.59046?\nAnswer: -1643180.60846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 10 = 2*f + 3*w, 0 = f + w + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2253 is divided by 122.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7460 = 7461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3737213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7123540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -17*o**3 + 11*o**2 - o. Let j(l) = 8*l**3 - 6*l**2 + l. Let r(i) = 5*j(i) + 3*p(i). Find the third derivative of r(q) wrt q.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 4. Let w be k(4). Suppose 7*v + 18 = w*v. What is the greatest common factor of v and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1438, 1644, 1812, 1936, 2010, 2028?\nAnswer: 1984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0226 in -9, 2.4, 1\/6, -8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 4, k: 3, r: 6}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/3 + 12250644*f - 56279354405526 = 0.\nAnswer: 9187983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1\/c)\/c)**(-45)\/(c\/(c\/(c\/c**(2\/5))))**(-45))**(3\/13) assuming c is positive.\nAnswer: c**(216\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iddiididdd. What is prob of picking 3 i?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -23*q - 1\/2*q**3 + 1\/24*q**4 + 1\/168*q**7 + 1\/20*q**6 + 11\/80*q**5 - q**2 + 0. Find a such that d(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 2 (c) 0.17 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202001240 (base 5) in base 10?\nAnswer: 8625195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -4, -3618, 24 in descending order.\nAnswer: 24, 3, 1, -4, -3618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 83636*r - 83637.\nAnswer: (r - 83637)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - 2*sqrt(209)*1) + (sqrt(209) + 2*sqrt(209) - sqrt(209))*-5)\/(2*sqrt(1584)*-3).\nAnswer: 11*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37785 + 37740. What is the closest to p in 0, 1\/4, 1\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, w: 13, h: 2}. What is prob of picking 2 h and 2 w?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, u: 8, n: 2}. Give prob of sequence uuun.\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358319742 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516535 is divided by 5554?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26\/3 + 9. Let n(w) be the first derivative of 2 + 2*w - 3\/2*w**2 + g*w**3. Give n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/32 of a minute?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - -1*sqrt(119))*-4*-3*1)\/((sqrt(4900)*-2)\/(sqrt(7) - (sqrt(7) - (sqrt(7) + 2*sqrt(1008) - sqrt(7))))).\nAnswer: -144*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + -0.15. Let o = a - -1.12. Let n = 0.8559 - o. What is n rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r - 3. Let o be -4 + (2 - r)*2. Put 4, o, -0.9 in descending order.\nAnswer: 4, o, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39070 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -12, -17, -22, -27?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let h(a) = -8*a + 5. Let p(t) = 4*t - 2. Let u(i) = -6*h(i) - 15*p(i). Give u(l(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*y**3 + 299*y + 223.\nAnswer: 6*y**2 + 299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/(h*h\/h**3*h)))\/h)\/h)\/h**(2\/39))**(-50) assuming h is positive.\nAnswer: h**(4000\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -208797235*g**3 + 93543316 wrt g.\nAnswer: -626391705*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3887437 and 230?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 4*q**2 + q - 4. Suppose 458*t - 492*t - 102 = 0. Determine z(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by -72.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189945188 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6263862m in micrometers?\nAnswer: 626386.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2 + 29*d - 1. Determine b(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 16*w**2 + 51*w. Let d(a) = 3*a**2 + 10*a. Let h(r) = -11*d(r) + 2*q(r). Give h(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3302 - -11?\nAnswer: -3291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12 + 13 + 0\/(-3) - -58337. What is the tens digit of ((-4)\/(-7))\/(36\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.83 times 6\nAnswer: -4.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2319 by -432.\nAnswer: 773\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 - 138*i - 1143. Let r be s(-59). Sort r, 2, 21 in descending order.\nAnswer: r, 21, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15*r + 50 = 0. Let g be (-1)\/(-2)*(4 + 2). Suppose 2*q = -g*h + q - 17, 0 = -4*h + 5*q + 9. Is h less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**2 - 2184*q + 4352 = 0.\nAnswer: 2, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -695765536843131*w**4\/5 + 2087343721985319*w**3\/5 - 28267086222*w**2 + 3190004*w\/5 - 24\/5 = 0.\nAnswer: 2\/88611, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741632 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 13*q**6\/360 - q**3\/3 + 7*q**2. Let p(m) be the first derivative of j(m). Let l(t) = t**2. What is p(l(k))?\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 6 - 4) + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.88682 micrometers in centimeters?\nAnswer: 0.004288682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4443 divide 89522007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-1)\/(-20)*5\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7122000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2442, 2470, 2566, 2730, 2962?\nAnswer: 3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 7\/4, -503, -9, 10 in descending order.\nAnswer: 10, 7\/4, -0.3, -9, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3 + 452*u**2 + 17024*u + 213712 = 0?\nAnswer: -38, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -118878 * -33\nAnswer: 3922974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 994057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = -3*j. Suppose 4*i - 320 = -4*t, -2*t = -3*t + j*i + 60. Calculate the highest common factor of 114 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1389922 - 215439419\/155. Let d = c + -64\/31. Let y = 2353 - 9373\/4. Find the common denominator of d and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26346942 at least as big as -26346943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 64 = 10*j. Find the third derivative of 78*b**2 - 27*b**2 - 19*b**j + 16*b**2 - 2*b**5 wrt b.\nAnswer: -120*b**2 - 456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y + 6. Let r(s) = 7*s + 5. Let q(k) = -6*r(k) + 5*v(k). Let g(o) = -o. Calculate q(g(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1\/4, 0.116.\nAnswer: -3\/7, 0.116, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4*z - 12, -y + 3*y = -z + 15. Let p be ((-68)\/(-34))\/(22\/(-33) + 260\/372). What is the highest common divisor of p and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 - 2*r - 1. Let u be y(6). Let o = u + -55. Suppose 0 = -0*s - 3*s + 15. What is the greatest common divisor of s and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-8) + 3\/(-4). Factor 4*y**5 + 8*y + 8*y**3 - 5*y**5 - 4*y**4 + 20*y**2 - 3*y**5 + 4*y**l.\nAnswer: -4*y*(y - 2)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i + 28*i + 15 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 7. Suppose -4*d - i = -d. Let j(o) = 3*o + 4 - 3 + 1. Determine j(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/16*6)\/3. Let o = 2.939 + 0.061. What is the closest to -0.1 in o, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 = 24*c + 25*c + 80 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265312344 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -20)\/(-1 - 8). Let p = -9981 - -9984. Are p and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1230 and 13385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59072993961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 8, -157, -392, -697, -1072, -1517?\nAnswer: -2032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 2*q - 40 = 0, -14 = -b - q. Suppose a + f = b, -3*a + 30 + 13 = -f. Suppose -2*k + 43 = -67. What is the remainder when k is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - h**2 - 3*h + 5. Let p be q(0). Let y = -1 - -0.7. Which is the biggest value? (a) p (b) -2\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 68.72, 4, -0.949?\nAnswer: 68.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -3\/8, 212, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*m + 17 = 0, -3*u = -m - 2 + 1. Suppose 0 = 4*g - c + 26, 4*c - 3 = -u*g - 7. Does 10 divide (-2 - -1 - g)\/((-6)\/(-78))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*l - 10 - 16, l + 47 = -3*f. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/6 + 15*n**2 - 2027*n\/6 + 323 = 0. Calculate n.\nAnswer: 1, 38, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Let b be 80\/14 + t\/7. Let s(d) = -d**2 + b*d - 6*d. Let a(q) = q. Give a(s(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -106\nAnswer: -10.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3922.544*1.9.\nAnswer: 7452.8336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38.367 and -0.07.\nAnswer: -2.68569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - 3*w)*(-2*w**2 + 1 - 1) - 2*w**2 - w**3 + 2*w**2 + (-2 + 2*w + 2)*(-2*w + 2*w**2 + 2*w) + 2*w**3 - w**3 + 0*w**3 + 2*w**3 + 18*w**3 - 7*w**3.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3078\/7 - 440. Which is the third biggest value? (a) -0.4 (b) s (c) 1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3 + 5*o + 0*o**2 - 2*o**2 + 9. Let d(z) = 5*z**3 + z**2 + z. Let f be d(-1). Let m(i) = 2*i**2 - 6*i - 7. Give f*m(b) - 6*q(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/(o**(-2\/17)*o))\/(o\/(o**(-1)\/o))**(-20\/7) assuming o is positive.\nAnswer: o**(1748\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2538*g + 5904*g - 43 + 42 - 2866*g.\nAnswer: 500*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2011, 0.\nAnswer: -2011, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122542521?\nAnswer: 3, 71, 575317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010011001110 (base 2) in base 6?\nAnswer: -213314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 127, 197, 277?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -36, -53, -78, -117, -176?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 + -1 + (4310 - 58) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 4. Which is bigger: 5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -32*z**2. Let l(t) = -1212674*t. Determine k(l(s)).\nAnswer: -47058503368832*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*s - 7*s - 7*s + 13*s in the form l*s + x and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:14 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 223653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*n + 23*n + 16*n + 5270 for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -10?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) - (-9)\/(81\/510). Suppose 0*x + 4*a = 3*x - 60, -3*a - g = -3*x. What is the highest common divisor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13130 (base 4) to base 3\nAnswer: -122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -53, -50, -47?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of p + 0*p**3 + 0*p**4 + 13\/2*p**2 - 19\/5*p**5 - 59. What is the second derivative of q(t) wrt t?\nAnswer: -228*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38691553\/304 + 127275. Calculate the common denominator of -121\/20 and x.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300\/(-1495)*13\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02128 to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/15*9\/24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 - 53168\/(-24)) + 1 + (-42)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*12721686\nAnswer: 2544337.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-2\/5)*q))**(-26\/5)*(q*(q*q**1)\/q)**(11\/5)*((q**(-4)*q)\/(q\/q**(-2\/3)))\/(q**(-6)*q*q**(2\/5)*q) assuming q is positive.\nAnswer: q**(484\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2565.2 and -0.75.\nAnswer: 2564.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/985 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -540133 divided by -4\nAnswer: 540133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 + 2*n + 2. Let m(y) = -11*y**3 + 4*y + 3. Let i(t) = -3*m(t) + 5*v(t). List the prime factors of i(2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**4 + 562359*b**3 + 1687107*b**2 - 562359*b - 1687104 = 0. What is b?\nAnswer: -3, -1, 1, 187456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 449712 and 3997440?\nAnswer: 35976960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 4, -4, -18, 66 in increasing order.\nAnswer: -18, -4, 2, 4, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/15 <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 5, i: 2, a: 1, c: 1, b: 3}. What is prob of picking 1 c and 1 f?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 1\/4 (c) 5 (d) 8.68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11210 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000096138352 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a. Let l(d) = 12*d**2 + 8. Let g = -27 - -30. Let b be l(g). Let u(j) = -61*j + b*j - 57*j. What is v(u(w))?\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 207 - 267 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/21*(-13)\/130)\/(9\/6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + b + 4 = 0, -4*b + 2 + 6 = 0. Let m(i) = 3*i**w + 5*i - i**3 - 102 + 102. Give m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -44*g + 733. Let k be a(16). Solve 25*d + k = 5*r + 29*d, -r = -5*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2. Let c(n) = -35*n - 1 + 1 + 29*n. What is c(i(q))?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 19*i**2 + 17*i - 17. Let u be n(-18). Let l be 110\/u + -1 + 3. What is the greatest common factor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 15*v - 1. What is the remainder when (-326)\/(-14) - 2\/7 is divided by j(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 6*t - 9. Let p(i) = -i**2 - 4*i + 4. Let z(s) = 2*s**2 + 7*s - 7. Let o(g) = 5*p(g) + 3*z(g). Calculate b(y) - 6*o(y).\nAnswer: -2*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36069 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -19\/66531?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2) + 53\/2. Suppose -2*j = 1 + 7, p - 5*j - u = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 3861?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 15 = 3*o + 4*q, 0 = -3*q. Suppose -90 - 75 = -5*n. Suppose -4*s = 3*c + n, c + 4*s + 19 = -0*c. Put o, c, -3 in descending order.\nAnswer: o, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49073 + -17158. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (371\/(-212))\/((-18)\/(-216))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -13*l**6\/120 - 13*l**5\/20 + 13*l**4\/8 + 13*l**3\/2 - 4338*l**2. Let t(b) = -b**3 - b**2 + b + 1. Give -f(y) + 39*t(y).\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10\/3 (b) 0.09 (c) -0.3 (d) 2 (e) -44656\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4 - (-70980)\/7696) + -10.\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 19*z - 2 = -2*a, -4*a + 12 = 2*z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 6. Let z be (0 + 3\/c)*-4. Sort 11, z, -5 in descending order.\nAnswer: 11, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2164 - -5754. List the prime factors of g.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((413\/(-168))\/59)\/(-1*(-1)\/(-9)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 6*b + 5 = 0. Let y be -4*b\/10 + 13 + -5. Let o(q) = -q + 3. Let l(m) be the first derivative of -m**2 + 6*m + 1. What is y*l(x) - 13*o(x)?\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2161899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - t**3 - 5*t**3 + 12*t**3.\nAnswer: 6*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29966*-0.04.\nAnswer: 1198.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 9385.5 to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 162305922 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18222 + 19002. Calculate the smallest common multiple of w and 600.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 9:45 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - -36) + 70\/10. Let o = 90 - 18. Calculate the greatest common divisor of o and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d6 - -c?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -54\/41 (b) -0.2 (c) -0.205 (d) -1\/6 (e) 1\/3 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -36. Sort -2\/3, -4\/5, t.\nAnswer: -4\/5, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -193 - -61. Let s be (-4)\/22 + (-288)\/x. Solve b = 2*v + 3, -b - 3 = s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/15800 and -19\/3025?\nAnswer: 1911800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -2\/8631 in decreasing order.\nAnswer: 3, -2\/8631, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 + 15*y**2 - y - 17. Let g be ((-6)\/5)\/((-4)\/10). Let a(k) = 2*k**3 + 8*k**2 - k - 9. Let t(b) = g*o(b) - 5*a(b). Calculate t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 3*a = a. Suppose -4*y + a*y - 3*h = 20, 3*y + h + 15 = 0. Let s be (-14 + 9)*1\/y*3. Solve 7 = -2*g + w - 2*w, -16 = 5*g + s*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -85436 divided by 53.\nAnswer: -1612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 2*j + 2*j)*(-2*j**3 - 4*j**3 + 0*j**3) + (3*j - 3*j - 2*j)*(8*j**4 + 111*j**2 - 111*j**2).\nAnswer: 2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -10. Let b be o\/((-7)\/2 + 2). Suppose -6*k + 12 = -b*k. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 456 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = p + 4, 2*j - 26 = 10*p - 10*p - 10*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48645 + 48644.9899916. Let a = -544.99 - -545. Let u = a + f. Round u to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22011*z - 22027*z + 44036*z + 7*z**2.\nAnswer: 7*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(3*sqrt(8)*4) - (-2 + sqrt(45)\/(sqrt(9)*1)).\nAnswer: -11*sqrt(5)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -2186*m + 2173*m, -2*b + 2*m - 6 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fii when three letters picked without replacement from {q: 4, h: 1, e: 6, f: 5, i: 4}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -711 + 1523. Calculate the greatest common factor of 464 and u.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w. Let n be w\/(-1)*(2 - 1). Calculate the common denominator of (123\/9)\/1 - n and -59\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1076625 divided by 957.\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {j: 2, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-12)*m**(-2)\/m)\/(m**(1\/2))**39 assuming m is positive.\nAnswer: m**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 560427?\nAnswer: 2\/560427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 460*x**2 + 52*x - 349. List the prime factors of f(5).\nAnswer: 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.105 take away 105?\nAnswer: -104.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + r - 3*r + 5*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**7\/1260 - t**5\/120 - t**4\/6 + t. Let p(q) be the third derivative of w(q). Find the first derivative of p(u) wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 2089 = 1430. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76088?\nAnswer: 2, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3330, 6670, 10010, 13350, 16690, 20030?\n\"Answer: 3340*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28359006 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p**2 - 11*p + 5. Let s(c) = 6*c**2 + 10*c - 4. Give -5*s(l) - 4*v(l).\nAnswer: -2*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 7*n + 49. Let r = -16 - n. Suppose 3*h + 134 = 2*w + 20, 4*w - 240 = 3*h. What is the greatest common divisor of r and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3*v + 47 = 0, -4*b = 5*v + 1509 - 1600 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - 0.13. Let s = n - 0.02. Let g = 6.35 + -2.35. Which is the third smallest value? (a) 1\/12 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(7\/2 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j - 22 = -25*j. Let m(c) = -9*c + 214. Let x be m(j). Solve 5*q - 17 = -2*w, -2*w + 5*q - 49 = -x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122368 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.7 - -13.7. Which is the biggest value? (a) w (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -101 + 106. Suppose -5*x - 3*l = -871, -x + 3*x - 337 = -g*l. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 102. Let v(z) = -6 - 5 + 2*z + 2 - 1. What is the remainder when a is divided by v(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -149802, -149598, -149394, -149190?\n\"Answer: 204*f - 150006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494064.81 nanoseconds to hours.\nAnswer: 0.000000137240225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15551, -31113, -46691, -62291, -77919, -93581?\n\"Answer: -s**3 - 2*s**2 - 15549*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 6192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s + 14. Let f be c(11). Suppose 4*b - 88 = f. Suppose -b = -j + 14. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus 1.13146?\nAnswer: -11.86854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1209544*j**2 + 40*j - 6607?\nAnswer: -2419088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 4731368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 39*r**3 - 12*r**2 - 35*r - 10. Give i(-2).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1230617\/90 + 1 + (-11)\/9. Let p = 13685 - c. What is the common denominator of (2\/6)\/(4\/6) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*h - 18 = -0*h, 4*t + 2*h = 0. Suppose t*v = -2*v - 12. Let o(s) = -s**2 - 3*s + 7. Is o(v) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * 242.\nAnswer: -10406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4 (c) -166\/25 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/7 + -3*1. Let q = u - -10. Solve 4*c + 0*h + 8 = 4*h, c - 2*h + q = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 + 2*j + 1. Determine u(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 1:17 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 8 = 0. Suppose 3*b + 10 = n*z - 0, -4*z = -5*b - 24. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {q: 3, i: 4, o: 3, r: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -19. Suppose 2*i + 0*d - 2*d + m = 0, -i + 3*d - 6 = 0. Solve 5*z + i*l - 20 = 5*l, l = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500325557.\nAnswer: 3, 19, 2903, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -13. Let l = 13 - f. What is the lowest common multiple of l and (-2385)\/105 - -33 - (4\/14 - 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 2*b - 3*b)*(-14*b**2 + 8*b**3 + 14*b**2)*(4 - 4 + 5*b) - b**5 + 8*b**5 - 5*b**2 - 1 + 3*b**2.\nAnswer: 47*b**5 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a2d (base 14) to base 4.\nAnswer: 31320301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80 + -65. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 plus -1450539227?\nAnswer: -1450539186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22834001.\nAnswer: 2551, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -98927.570807 and -2149?\nAnswer: 96778.570807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -405885711 divided by -203?\nAnswer: 1999437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 - 323 = 5*d. Is ((-14)\/(-4))\/(d\/16902) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/6 - 1835*q**3\/6 + 11167*q**2\/6 + 222971*q\/6 + 64435 = 0 for q.\nAnswer: -1841, -7, -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a - 9*a + 15*a**2 - 5*a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 9:34 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svssvssssssvssss. What is prob of picking 3 v?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -381 - -381.3. Let y = -1.8 + 2. What is the closest to y in s, -1\/3, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0418 + -5.0418. Sort 0.05, 2, p in decreasing order.\nAnswer: 2, 0.05, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/24)\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a meter in millimeters?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -950, -1908, -2856, -3788, -4698, -5580, -6428, -7236?\nAnswer: -7998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 52*t**2 + 62*t + 562. What is l(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -75.3493.\nAnswer: 1054.8902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3386*w. Let z(q) = -47*q**2 + 8. What is h(z(j))?\nAnswer: 159142*j**2 - 27088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + -114982556.583.\nAnswer: -114982565.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.04, 2\/1363, -3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + 11*w**2 - 3*w**2 - 3*w**5 + (-5*w**5 + 4*w**5 + 3*w**5)*(4 + 0 - 2) - w**2 + w**5 + w**2.\nAnswer: 2*w**5 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 576\/17, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 6*m - 36 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -6*x**3\/5 - 73*x**2 + 748*x\/5 + 801. Let k(a) = 0. Calculate a.\nAnswer: -374\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*w + 5, -d + 4*d + 24 = -4*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {b: 1, j: 5, h: 7, n: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*j + 7, 0 = 2*j - 2 + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2846663023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -k - 15025, 2*f - f + 4*k = 3769. Let v = f - 2069. Suppose 5*s = 13*s - v. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {f: 16, d: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3698675\/3004 + (5\/(-4) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 442 + 1152045?\nAnswer: 1152531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**7\/42 + f**6\/3 - 37*f**5\/20 + 5*f**4 - 6*f**3 - 3*f - 3. Factor d(b).\nAnswer: -b*(b - 3)**2*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/81 - -44906*(-100)\/(-72) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 578*d**2 - 3*d**5 - 578*d**2 - 2*d**5 + d**5 - d**5 + (0*d + 0*d + d**2)*(3*d**2 - 2*d**3 - 3*d**2) + 2*d**4 - 2*d**4 + 3*d**5.\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12012202 (base 3) in base 5?\nAnswer: -110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 5*d + 6 = 0. Is 10 a factor of -20*(2 + (-21)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*(-19 - 468\/(-24))\/((-5)\/6).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -3449.\nAnswer: -3451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3742826*x**2 - 4. Let k(i) = 30*i. Give a(k(v)).\nAnswer: -3368543400*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-c**2 + 4*c - 5*c + 0*c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 679 = -w + 3*u, -3*w + 3*u + 1014 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -359 by -1.\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**4 + 18*m**2 - 2*m + 1. Let p(k) = 6*k**4 + 34*k**2 - 5*k + 3. Let d(s) = -2*p(s) + 5*v(s). Find the third derivative of d(b) wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 1. Let t(z) = -4*z. Let u = -163 - -166. Let k(j) = u*s(j) + t(j). What is k(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6 and -7\/195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-246)\/84 - 2 - (-3)\/2. Is z at least as big as 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15712, -5, -862 in decreasing order.\nAnswer: 15712, -5, -862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16375927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from dddddddpddmdd?\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*u = 0, 41*w = 42*w - u + 2. Let x = 0 - -4. Put x, -4, w in ascending order.\nAnswer: -4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -561 - -329. Let r = 143270.023 + -143502.022762. Let z = v - r. What is z rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p + 3*p)*(-3*p + 4*p + p) - 1 + 1 + p**2 - 4*p**2 - 4*p**2 + 7*p**2 + (p - 5 + 5)*(2*p + 4*p - 4*p) - 5*p**2 + 2*p**2 + 4*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 17 = -5*a + 1147, -3*r = 3*a - 687. Is 32 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*x**3 - 80*x**2 + 44*x + 8.\nAnswer: 4*(x - 2)*(x - 1)*(7*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.315 + -0.315. What is the third biggest value in q, 5\/6, 1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 24*i**2 - 7. Let m(n) = -65*n**2 + 19. Let s(o) = -19*f(o) - 7*m(o). Let z(k) = -1221*k - 5. Give s(z(y)).\nAnswer: -1490841*y**2 - 12210*y - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 59863766 and 0.3.\nAnswer: 59863766.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 + 293 = -5*k. Let c = k - -33. What is the tens digit of 742\/3 - (c\/(-18) - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoz when three letters picked without replacement from {o: 1, d: 2, a: 1, w: 2, z: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i + 39. Let a be w(10). What is the common denominator of (-114)\/(-4) + (a + -9)\/(-10) and -93\/296?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/195?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 46*k - 380 = -48*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6764 = 104*p - 836 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*z - 3*r, -47*z + 42*z - 4*r + 24 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -157165 divided by 85?\nAnswer: -1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010000100 (base 2) in base 15?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-49)*-28*15\/60.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 - -10525.\nAnswer: 10539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 26, 2 in decreasing order.\nAnswer: 26, 6, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 46560.6309 to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 6*d**2 + 5*d - 5. Let l(y) = -y**2 + 7*y - 13. Let h be l(6). Let n(t) = -t**2 - 6*t + 12. Let j be n(h). What is o(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 600 + -599.98. Which is smaller: v or -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 505.8324um?\nAnswer: 0.0005058324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = 4*o + 205 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1736705246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**4*w + 11*m**3 - 2*m**2*w - 16*m**2 wrt m?\nAnswer: 96*m*w + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 25*n**3 + 27*n**2 - 77*n - 61. What is the thousands digit of b(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -414*j**4 + 1284*j**3 - 6*j**2 + 2287*j + 6645.\nAnswer: -4968*j**2 + 7704*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, 3, 7, -24, 79 in descending order.\nAnswer: 79, 9, 7, 3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**4 + 9*y**3 + 584*y**2 - 129462*y?\nAnswer: -24*y**2 + 54*y + 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -680, -1108, -1532, -1952, -2368?\nAnswer: -2780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72571636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmtiittmttmmtimtimit. What is prob of picking 1 t and 3 i?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 669579 or 669588?\nAnswer: 669579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670130563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 1908915*x + 1908918.\nAnswer: -3*(x - 1)*(x + 636306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 6 = 10*p. Suppose 176*u - 88 = -16*u + 104. Solve -p*m - u + 13 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 3 (c) 5\/2 (d) 10 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ad - -3603d?\nAnswer: 35e80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a factor of 39479454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115380374.\nAnswer: 2, 1057690187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -70*v**2 - 90*v - 11. Let p(y) = -13*y**2 - 18*y - 2. Let u(s) = -11*p(s) + 2*q(s). Find t, given that u(t) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 96 = 0. Calculate the greatest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + (sqrt(396)*6)**2.\nAnswer: 14258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*x - 66*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (5 + -9)*1141\/(-28) is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/7)\/((-12)\/4767). Let i = z + -327. Let s = i + -14. Which is bigger: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.2 (c) 1 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 37*c = -4*c + 145418. Calculate the greatest common factor of 91 and c.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:18 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 791?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krkrusw. Give prob of picking 1 r, 2 k, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**6\/180 - j**5\/60 + j**4\/6 + j**3 + 10*j**2. Let l(q) be the first derivative of o(q). Find r, given that l(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -2, 0, -8, -750, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 4*w**2 - w**2)*(-2*w + 5*w + 6*w) + (-2*w**2 + w**2 + 0*w**2)*(-2*w - w + w) + w**3 + w**3 - w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -22*j - 132. Let h be s(-6). Sort -4, 2, h, -1.\nAnswer: -4, -1, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzxzxznnkznxx. Give prob of picking 3 n.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*z - 60 - 180 = 0. Is -22 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*m**3*z**2 + m**2*z**2 + m*z**2 - 3*m + 6*z**2 wrt m.\nAnswer: 36*m*z**2 + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 c when three letters picked without replacement from {x: 1, c: 4, p: 1, w: 1, v: 4, s: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10*f = 5880. Suppose -6*w**2 - 990*w**3 + f*w**3 + 2*w + 2*w = 0. What is w?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33015, 0, 5, 1, 65 in ascending order.\nAnswer: 0, 1, 5, 65, 33015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18286585 is divided by 2489.\nAnswer: 2391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = 88 - 16. Let m(b) = -3*b**2 - 25*b + 17. What is the remainder when m(k) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b + 2. Let k(y) = -y**2 + 13. What is k(p(i))?\nAnswer: -64*i**2 + 32*i + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, d: 6, l: 4}. What is prob of picking 2 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 94*t + 10. Let g = -5888 - -5874. Let i(q) = 19*q + 2. Calculate g*i(y) + 3*z(y).\nAnswer: 16*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022533 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 0.2 (c) 0.7 (d) -3084 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 23 - r + 3*r)*(-28 - 19 - 5).\nAnswer: -104*r + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, -158, 1, -27, 3.\nAnswer: -158, -27, -2, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5714747 to the power of 1\/3, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1061 (base 8) to base 13.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/(-6)*2*42\/70.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098354974 to the power of 1\/2, to the nearest integer?\nAnswer: 33141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*d + 95, 0 = 3*c - 2*c - d - 46. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-42))\/((-21)\/18). What is the nearest to 2\/5 in j, 1\/3, 2\/45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11167905 + -5827905. What is p rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -388, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4390, -3, -15, -5, -1 in increasing order.\nAnswer: -15, -5, -3, -1, 4390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118.7442 + 112.043744. Let d = o + 6.7. What is d rounded to five dps?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/((-84)\/3675)*(-3)\/21.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, p: 3, c: 4, n: 7, a: 1}. Give prob of sequence ppia.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(sqrt(20) + sqrt(60)\/sqrt(3))*-6)\/((sqrt(10) + -1*sqrt(10))*-6 + (-6*(sqrt(10) + sqrt(90)) - sqrt(10))).\nAnswer: -24*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1\/3, 147905.\nAnswer: -5, -1\/3, 4, 147905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -1268?\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/3*(-13005)\/170?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2106\/(-8) + (-2)\/(-8). Let t be (-1)\/(-5) - (-21)\/(-5). What is the tens digit of f\/t + 1 + (-6)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -718 - -719. Suppose 3*q = -374*k + 378*k - f, 29 = k + 5*q. What is v in -16\/3 - 16*v - 8*v**3 - 52\/3*v**2 - 4\/3*v**k = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6262748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 4 = -4*m - 10*j, 4*m + 6 = j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**4 - 2*c**4 - 3*c**4 + (0*c + c + c)*(2*c**3 - 4 + 4) - 31*c**4 - 4*c**4 - 9*c**4 to o*c + p*c**4 + u + y*c**2 + d*c**3 and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 12\/9 - (-1120)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 + 9*b - 48. Let d be g(-6). Let q(c) = -13*c + 270. Let t be q(d). What is the highest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = 8. Let o = -1 - m. Let x(l) = l**3 - l + 1. Let y be x(o). Which is the second biggest value? (a) -3 (b) 1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -29. Let o(v) = v**3 + 11*v**2 + 8*v + 13. Let z be o(-10). Let f = q + z. What is the remainder when 56 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -12*m - 1650. Let s be (-66)\/m*60\/(-9). Suppose 16\/5 + s*h + 1\/5*h**2 = 0. Calculate h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-10))\/(70\/25). Let q = 20.4 - 20.41. Which is the smallest value? (a) 0.06 (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 265 and 954?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8562013?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = -55*f - 27*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-12)*(r**(-2\/3))**(-30)*(r\/r**1)**24\/(r**1)**(-1\/16) assuming r is positive.\nAnswer: r**(129\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/4464 and 79\/1008.\nAnswer: 31248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393518133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 36 = -4*y - 2*u, -4*u = 0. Calculate the lowest common multiple of y and ((-8)\/96)\/((-18)\/1896) + (-2)\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 5430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, 21\/76, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 3, 6, 32\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0)\/(-4) + (-815)\/(-4). Suppose -h = 25*r - 26*r. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*p + 116*p + 771*p**2 - 24*p**2 to a*p**2 + n + c*p and give a.\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398766298, -398766297, -398766296, -398766295, -398766294, -398766293?\nAnswer: -398766292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -224881, -224878, -224875?\n\"Answer: 3*v - 224884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -320*x**4 + 2*x**2 + x - 343.\nAnswer: -3840*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 4, d: 13}. Give prob of picking 1 h and 1 d.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrxq when four letters picked without replacement from {q: 1, x: 6, r: 8}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - -0.4. Let h = 4 - 0. Let o = -3.9 + 4. What is the smallest value in n, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u. Let c(p) = -p. Let k(s) = -5*c(s) + w(s). Let x(i) be the second derivative of -17*i**4\/12 - 12*i + 38. Determine k(x(g)).\nAnswer: 34*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*p - 2*h, -5*p = 3*h - 2*h - 15. Suppose p*z - 5*c + c = 840, c + 3 = 0. Is (13 - z)*(-2)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-12) + 15\/9. Let a = 1 + l. Factor 2\/3*w**a + 2*w**4 + 0*w + 0 - 2\/3*w**5 - 2*w**3.\nAnswer: -2*w**2*(w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/3)\/((440\/(-4))\/(-11))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**3 + 2*q**2 - q + 1. Suppose -26*j + 382 = -788. Suppose j = -36*p + 657. Calculate the remainder when w(2) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 852 = 2*o + 31, d - 1274 = -3*o. Let f = o + -267. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/6)\/(9\/6). Let x(n) be the second derivative of 0 - n**2 + y*n**3 - 2*n. Differentiate x(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-27))\/o*o\/o**(-25))\/(((o*o*((o**7*o)\/o)\/o*o)\/o*o*o*o)\/(o\/(o**(-1\/27)\/o))))**(-1\/62) assuming o is positive.\nAnswer: o**(269\/1674)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 333619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5751848090.\nAnswer: 2, 5, 239, 2406631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, e: 4, h: 7}. Give prob of sequence jh.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {g: 3, h: 6, b: 4, f: 2}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crc when three letters picked without replacement from {c: 12, r: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8511, -17032, -25555, -34080, -42607?\nAnswer: -51136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7474842.\nAnswer: 2, 3, 46141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4 - 510*l**3 - 22179*l**2 - 42840*l - 21168 = 0?\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 4*x**3 - 3*x + 3*x**3 - x**3 - 3*x**3 + (-x - 2 + 2)*(4*x**2 - 2*x**2 + 0*x**2) + (x**2 + x**2 + 0*x**2)*(x - 5*x + 5*x) + 0*x + 2*x**3 + 0*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 529 - 542. What is the smallest value in q, 0, 1\/17, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -662357235394\/9401 + 70456039. Let i = 1\/2686 - r. Calculate the common denominator of 522\/40*(-2)\/6 and i.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4 - 21 = -2*l, c + 17 = 4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96196 and -42.\nAnswer: 4040232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/3, -2\/55, 2, -0.5?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 978 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 37835*m - 35761*m - 4.\nAnswer: 2074*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79? (a) -3\/11 (b) -0.5 (c) -0.0619\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 179 + -8a?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 37869.18628 to 0 dps.\nAnswer: 37869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5004 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056774272?\nAnswer: 2, 461, 17909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*v**2 - 75*v**5 - 74*v**5 + 149*v**5 + 11*v**6 wrt v.\nAnswer: 1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.3 (b) 1 (c) -0.0213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -cca71 (base 16) to base 9\nAnswer: -1516776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*r + 146 = 0, 5*r = -5*w + 91 + 154. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 + 69 + 154 + 64)*(276*p + 5*p**3 - 276*p).\nAnswer: 1145*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16257 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 14620 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 1\/105*w**6 + 0*w**4 + 0 + 0*w**5 + 16\/735*w**7 + 1\/168*w**8 + 0*w**3 + 0*w + 7*w**2. Factor s(y).\nAnswer: 2*y**3*(y + 2)*(7*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 - 2728394*p\/7.\nAnswer: -2*p*(p + 1364197)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 363524 by 4.\nAnswer: 90881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001110011 (base 2) in base 7?\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 949458 = 1201*o - 1207*o, -3*o + 2*g + 474747 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12271 is divided by 95?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0167401025 rounded to six decimal places?\nAnswer: -0.01674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22863186.54 rounded to the nearest one thousand?\nAnswer: 22863000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 0 + -10 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775442 is divided by 134?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 + 2)*(28*k**2 + 7*k**2 - 359*k**2) as x*k + v*k**2 + l and give v.\nAnswer: -1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.904nm in kilometers?\nAnswer: 0.000000000480904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m - 2*m - 2)*(0*m - 2*m + m) + m**2 - 2*m**2 + 2*m**2 + (-6 + 2 + 3)*(-1977 + 11*m**2 + 1977).\nAnswer: -9*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 + 1 + (14 - 22). What is the common denominator of 178\/(-4) + (-1)\/1 and 2670\/(-455) + (-2)\/i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -27*(-24)\/(-756)*(-7)\/(-2). Suppose -4*q + 12 = v - 5*q, 0 = 3*q - 9. Suppose 4*o = -2*j + 14, -3*j + 2*o = -4 + v. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/77 + (7060\/22 - 0). Let t = 325 - f. Solve t*s - 13 = -z, -5*z - 10 + 3 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 93472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4*n*n)\/(n**3\/n))**(12\/5)*(n*n**(2\/3)\/n)**(-12)\/(n**(-4)*n\/((n\/n**(2\/5))\/n)) assuming n is positive.\nAnswer: n**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o. Suppose 3 = -16*k + 3. Let a(v) = -467 + 467 + k*v - 17*v. What is a(w(x))?\nAnswer: -68*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let a(l) = -l**2 + 7*l - 4. Let k be a(6). Suppose k = 4*q - 3*q. Let n(f) = -f**2 + f**2 - f**q. What is n(b(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-91)\/(-52)*20*1. List the prime factors of (-2608)\/(-20) - (-7)\/(h\/(-2)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1377\/(-136))\/(-27)*432\/35640.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21 and -14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 15*r. Let x(z) = 50*z. Determine h(x(i)).\nAnswer: 750*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 81*s - 77*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/11 - 220*x - 66550 = 0.\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179a (base 11) to base 8.\nAnswer: 4357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -99. Suppose 3*i = -0*i + w. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, 2, -3 in ascending order.\nAnswer: -15, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -280006 (b) 0.34 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -405\/152 + 21\/8. Let j = 325\/532 + a. Let l = -10 + 7. Sort 5, 0, j, l in decreasing order.\nAnswer: 5, j, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 8 + 4*k**2 - 8.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 177, 260, 393, 570, 785?\n\"Answer: -k**3 + 31*k**2 - 3*k + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (7 - (-1 + 7 + -10 + 10))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2. Let h(n) = -429*n**2 - 22. Let v(l) = 61*l**2 + 3. Let w(b) = 3*h(b) + 22*v(b). Determine c(w(x)).\nAnswer: -3025*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -150 - -6683?\nAnswer: 6533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Which is the nearest to 0? (a) q (b) 4\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 39 = 2*v - 29, b = -4*v + 140. Let k = v - 33. Solve l - 3*l - 18 = -4*o, 9 = 3*l + k*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2506406 nanoseconds in microseconds?\nAnswer: 0.0002506406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + q = 11, -3*q = 5*j + q - 23. Let w(k) = 104*k - 16. Let s be w(j). Suppose -30*v + 34*v = s. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -62)\/(1\/(-7)). Let d be ((-111)\/(21978\/(-88)))\/((-8)\/(-324)). What is the greatest common factor of b and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-9) - 8\/132. Are 0 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13869 >= 2\/26691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -5*k + 10, 3*k - g - 37 = -6*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 1, -70, -171, -302, -463, -654?\n\"Answer: -15*x**2 + 4*x + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 850136 divided by -38?\nAnswer: -22372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117011 divided by 1?\nAnswer: 117011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 796563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y + y)*(-2 - 2 + 5)*(7 + 0 - 3)*(-1 + 2 + 0 + (3 + 3 - 5)*(2 + 1 - 1) - 1 - 1 + 1 + 0 - 2 + 1 - 2 + 1 - 6).\nAnswer: -72*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 4*w**3 + 2*w**2 - 18 - 19 - 7 + 0 to the form c*w**2 + y + z*w + t*w**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361992 + 32*j - 6*j + 361992.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13776887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79.032 - 79. Let i = 0.268 + o. Which is the biggest value? (a) -6 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.52185?\nAnswer: -2.60925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 8 = -m, l = 3*m + 14. Suppose -4*g = -2*g - l. Let w = g - -1. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5406504 and 1.\nAnswer: 5406505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610*j + 1342 = -588*j. Solve -z + 4 = 0, t - j*z + 59*z + 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 6. Let y be h(6). Let f(w) = w - 4*w + y*w. Let o(c) = c**2 - c. Let z(g) = -2*g**2 + 4*g. Let r(l) = 4*o(l) + z(l). Calculate r(f(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 296879663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/108*1632\/(-2856)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.93 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -2\/94894003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, m: 5, v: 2, j: 3}. What is prob of sequence jj?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10251 = -201*w + 3618 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 315526326 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -909517, -909424, -909333, -909244, -909157, -909072?\nAnswer: -908989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*x - 1502*x**2 - 66*x + 1575*x**2.\nAnswer: 73*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrerer.\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 1649 and 291?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**4 - 5*t**3\/3 - 6*t - 75. Let g be 2*6\/72 - (-35)\/6. Let f(z) = -3*z**3 - 5*z**2 - 5. Give g*f(r) - 5*c(r).\nAnswer: 2*r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2783 and 265.5?\nAnswer: 2517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/((-2184)\/945)*(-2)\/10\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 1 - 13*h**2 - 4\/27*h**4 - 2\/3*h**3 + 0*h + 1\/135*h**5. Factor d(r).\nAnswer: 4*(r - 9)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*s**3*z + 3*s**3 + 5281*s**2*z + 88*s**2 - s + 1159*z - 4602 wrt z.\nAnswer: -6*s**3 + 5281*s**2 + 1159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 75397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-80578)\/(-32) + (-23)\/368.\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 44 = 3*q. What is the derivative of -3*v**3 - q*v - 5 + 44*v wrt v?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -2\/7, 58, 4\/655, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/((6*(-6)\/5616)\/(-19))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21829406?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 115018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 4\/2 - (-49 + 44). Solve 3*k - p = k, -17 = -3*a - 2*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/26334 and -89\/85029.\nAnswer: 106626366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757623, -757601, -757573, -757545, -757523, -757513, -757521, -757553?\nAnswer: -757615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10905156\/13 not equal to -838857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 2. Suppose -5*b - 5*r - 10 = 0, -9 + 23 = -b - 4*r. Suppose -b*w - 3*g = -g - 24, -3 = -4*w + 5*g. Determine p(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 - 9*b - 21. Let f(m) = -9*m**2 - 17*m - 43. Let y(t) = 7*a(t) - 3*f(t). Let o be y(-10). Is o at most 18\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*l + 1 + (-2 + 1 + 15)*(-2*l - l + l) + 0*l - 3*l + 4*l in the form a*l + q and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2710*r + 2695*r + 205 + 140 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 2:55 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25592*l - 3 - 3 = -2*f - 25593*l, -3*f = 5*l - 51 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6175 and 190.\nAnswer: 12350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 44961194 to the nearest 100000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 19*i. Let b(u) = u + 923 - 923. What is b(l(y))?\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1) - 10\/(-1). Let b be 1 + 6\/x*3. Solve -1 = -l + b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-6) + (7\/(-21))\/1. Let m be ((-24)\/(-10))\/3*-5. Put 5, w, 1, m in descending order.\nAnswer: 5, w, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5183729980?\nAnswer: 2, 5, 11, 13, 43, 61, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 97 = -c, 5*w + 2*c + 40 = -202. Let a = 82 + w. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 339590 by -11710.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 4*l + 13950. What is the tens digit of ((-18)\/5)\/(939\/l + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**5 + 11*o**4 + 3*o**2 - 5. Let s(f) = -5*f**4 - f**2 + 2. Let p(c) = -15*s(c) - 6*w(c). Factor p(r).\nAnswer: -3*r**2*(r - 1)**2*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 13 - 43 = 0. Let b be 92\/y + (-6)\/18. What is the derivative of -b + 45*g - 45*g - 16*g**2 wrt g?\nAnswer: -32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 262846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 6\/2)*-1. Let j(i) = i + 6. Let q be j(n). Suppose -4 - q = -5*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let h(z) = z**2 - 38276*z - 12. Determine y(h(q)).\nAnswer: -q**2 + 38276*q + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1182*o - 1180*o + 2374*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(0 + -2). Suppose 30 = -5*a - k, -3*k + 0*k = 0. Sort a, 0.4, u in ascending order.\nAnswer: a, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 54 = -302*q + 610*q - 323*q, 0 = 5*q + 2*c + 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 + v**3 - 3*v**3)*(-2*v - 7*v + 5*v) + (2*v**2 + v - v)*(2*v - 2*v + v**2).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 3. Let v = -2.177 + 1.577. Which is greater: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -26. Sort -5, 2, q, 4 in increasing order.\nAnswer: -5, q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1302*h*i**2*j**2 - 2*h*i*j + h*j - 2*i**2*j**2 + 136*i*j**2 wrt i?\nAnswer: -2604*h*j**2 - 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/27 in -0.116, 1\/5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18694200793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2886 (base 12) to base 4.\nAnswer: 1021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2433*n - 1. Let u(h) = -4*h + 1. Let q be u(1). Let z be s(q). What is z rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*sqrt(40)\/sqrt(5) + sqrt(48)\/sqrt(6) + -2.\nAnswer: -10*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410039 to the power of 1\/2, to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 472 + 22. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 250748 - 250856.049. Let f = s - -0.049. Let x = f + 120. Which is the third biggest value? (a) x (b) -4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68082, -68092, -68108, -68130, -68158?\nAnswer: -68192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 9*i**2 + 12*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -384b362 (base 13) to base 15.\nAnswer: -1826bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 5283.\nAnswer: -1\/5283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28317856?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3481 - 3737. Which is smaller: -260 or p?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243000 (base 8) to base 3\nAnswer: -11020110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -4 - -5) + 2 + 0 + (14 - 46)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1606075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-6*272\/96?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905500701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) 0.13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 - 21416113?\nAnswer: -21416217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123 - -125. Let i(z) = -3*z**2 + 2*z**3 - z**3 + 5*z**3 + 4 - 2*z. Does 20 divide i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11139 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 + 5*h**2 - 2*h + 1. Give r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 336*f. Let o(q) = 2*q - 23. What is l(o(a))?\nAnswer: 672*a - 7728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 - 7826?\nAnswer: -7841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160112)\/(-30021)*1\/((-8)\/180).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.229754 rounded to 3 decimal places?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 408\/68*((-3)\/(-10))\/(-1).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 11:34 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 11*f - 17. Let g be j(-8). Suppose 4*h - 36 = 4*t, 0 = -t - 4*h - h + 21. Let m = g + t. Solve -m*a = a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3427.\nAnswer: 5\/3427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7479.1 milligrams?\nAnswer: 7.4791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -2*x. Let u = 103 - x. Suppose -i + u = 3*a + 37, 0 = -4*a + 4*i + 84. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 230, 3, -5 in increasing order.\nAnswer: -5, 0, 3, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3833644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**4*x\/x**(2\/11)*x\/(x**(-2)*x)*x\/x**(-3\/4) assuming x is positive.\nAnswer: x**(421\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(234) - sqrt(26))*-5)\/(sqrt(8)*-1 - (sqrt(200)*-1 - sqrt(200) - sqrt(200))).\nAnswer: 15*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 2*o**2 - 2. Suppose 0 = -4*x + b + 50, x = -b + 9 + 1. Suppose -5*h - x = -11*h. Let r(j) = -6*j**3 + 11*j**2 + 11. What is h*r(a) + 11*f(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -74. Let m = 8 + x. What is the second derivative of -17*n - m*n**4 - 8*n - 17*n wrt n?\nAnswer: -216*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2))\/i*((i**(2\/5)\/i*i)\/i*i*i)\/i*i*i**(3\/4)\/((i*(i*i**(22\/3)\/i)\/i)\/i))**(-41) assuming i is positive.\nAnswer: i**(5371\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-83 - (144 + -99)) + -23\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 2144*c - 66459. Calculate x(31).\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883250409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 56*c - 57*c, 2*c = -u - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (282*a - 13 - 58*a + 11)*(3*a - 3*a - 2*a**2) in the form x + k*a**3 + c*a**2 + z*a and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9290568 + 4521568. What is u rounded to the nearest 100000?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-14) + -2 + 36\/(-14). Let o(c) = c**3 + 5*c**2 - 2. Determine o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than 46.008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310652 divided by 7?\nAnswer: 187236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 138\/(-9) - (-8)\/6. Calculate the remainder when 9 is divided by (-38)\/(-133) + (-80)\/j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4260 and 6390.\nAnswer: 12780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256119, -256118, -256129, -256158, -256211, -256294?\nAnswer: -256413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 2*m - 3. Let t be x(-3). Let j(u) = -u + 13. What is the tens digit of j(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3043\/(-477))\/((-3)\/(-9)). Let q = -3\/106 + i. Calculate the common denominator of (0 - 1 - -15)*-9*321\/(-5136) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14326 - -94935. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1250 or 0.1?\nAnswer: -1250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.08587cm to millimeters.\nAnswer: 400.8587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24.4 - -17.3. What is i rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8974 is divided by 175?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17, -128, -331, -626, -1013, -1492, -2063?\n\"Answer: -46*x**2 + 27*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 8*b - 3. List the prime factors of c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -1\/3 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 5*j - 81 + 14 = l, 0 = 2*l - 21*j + 129 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-h + 0 + 1 - 2) - 4*h + 5*h + h + (-2 + 2*h + 2)*(-6 + 1 + 1).\nAnswer: -4*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*w + 365887 = 0, 20*w = -4*b + 24*w + 487892. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 7*n + 14. Let s be j(-4). Let l be (-48)\/120*(0 + 1 - 6). Find the first derivative of 18 - 21*d**2 - 19*d**l + 9 + 50*d**s wrt d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/156 and -107\/72?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32590290?\nAnswer: 2, 3, 5, 1086343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6685017s in milliseconds?\nAnswer: 668.5017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/((-18)\/(-24)). Let y be 2\/n - 2 - 1. Let d be (-153)\/y - 15\/(-20). What is the highest common factor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + v = -2, 5*l + 16*v - 20*v = 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202 and 2424101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 502 (c) -49 (d) -6\/17 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*q = -128, t + q - 3*q = -73. Let z = t + 92. Solve 0 = -8*i + 3*i + z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -4, -11115, -5 in descending order.\nAnswer: 35, -4, -5, -11115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*u**3 - 111*u**3 - 113*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 - -65. Let c = g + -29.8. Sort c, -5, 0.\nAnswer: -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21567, -21455, -21343?\nAnswer: -21231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**4\/2 - 1174*j**3 + 5200*j**2 - 6632*j + 1896 = 0.\nAnswer: -474, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.0887+-0.0995\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w + 18*w - 2310 - 2410 = 0. Solve w*g = -4*h + 81*g - 10, g - 4 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0 + 6. Let j be (2 + h - 3)\/1. Which is the third biggest value? (a) 2 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -335.965 to zero decimal places.\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1263, -4, 5, 4, -3 in decreasing order.\nAnswer: 5, 4, -3, -4, -1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10148947, -10148949, -10148951, -10148953, -10148955, -10148957?\nAnswer: -10148959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25615, 25902, 26637, 28030, 30291?\n\"Answer: 35*k**3 + 14*k**2 + 25566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 23, 5, 8, 2, -40 in decreasing order.\nAnswer: 23, 8, 5, 2, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + (10 + -14 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l = -13*l - 6375. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwslree. Give prob of sequence rqs.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = 5*g + 14*i + 10, -5 = -5*g - i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 10:43 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*x**2)\/(x**3*x**(1\/7)) assuming x is positive.\nAnswer: x**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20145 - -16. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.9161395 minutes to weeks.\nAnswer: 0.003860728125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008391 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2043, -8169, -18375, -32661?\n\"Answer: -2040*u**2 - 6*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 32. Is q not equal to 3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, 0.01, -5\/4, 16 in ascending order.\nAnswer: -5\/4, 0.01, 0.1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78330403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)\/o*o*o*o\/(o\/o**(-1\/3)))**42\/((o**(5\/6)*o)\/o*o*o**(-1\/11))**(-32) assuming o is positive.\nAnswer: o**(-8\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*l**2 + 35*l**2 + 18232*l - 18160*l + 4*l**3 - 11*l**2 to g*l + i*l**2 + a + p*l**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -12916, -3\/4, 0, 3, 0.11 in decreasing order.\nAnswer: 3, 0.11, 0, -2\/3, -3\/4, -12916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1194 divided by 6?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 8 = -4*a, -1057*a - 6 = -1060*a + 3*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 18 = -4. Suppose 2*f = -5*q + z, -3*f = -5*f + 4. Suppose -r + 2*c + q = -0*c, -3*r = 3*c - 42. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 2393803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 120, -48, -502, -1242, -2268?\n\"Answer: -143*v**2 + 261*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*n + 110 + 67, 3*m + 3*n + 87 = 0. Let i = m - -19. Calculate the remainder when 80 is divided by 2\/(40\/i - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 4. Let l be 2\/2 - c\/20. Suppose -5*a + l*p + 4*p = -57, -3*p - 45 = -4*a. What is the remainder when 53 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - y**2 - 75*y - 6. Determine p(-9).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1781840 is divided by 3629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86877277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3092398288?\nAnswer: 2, 7, 27610699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 g, and 1 i when four letters picked without replacement from {i: 1, a: 2, s: 2, g: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 25. Suppose -6*h + 3*h = -n - 33, -2*h - i*n = -8. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -3 (c) 19475 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43135 - 43175.8561. Let t = -40.9 - c. Round t to 3 decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -155, -467, -1081, -2099, -3623, -5755, -8597?\nAnswer: -12251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.8027 (b) -2\/19 (c) -2 (d) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36883.\nAnswer: 7, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 301798 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 0.5 (c) 0.04 (d) -2\/11 (e) -1\/2670\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2751 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18444*m - 2*o + 10 = 18440*m, 3*o - 7 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 + 14 = 0, -2*v + i + 623 = 0. Is v a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1263*u = -1259*u - 9*w - 88 - 57, -58 = -u - 0*u - 5*w for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 16 = -6*r + d, 2*r - d - 10 = 0. Factor 27 - 46*k + 48*k - 32*k + r*k**2.\nAnswer: 3*(k - 9)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36304 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3555 and 711?\nAnswer: 3555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108484421.\nAnswer: 59, 1838719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 24 = 0. Suppose 2*t - 3*w - 57 = 0, -t + 3*t = -2*w + 72. What is the remainder when t is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109658191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkdaakvvaa. Give prob of picking 1 d, 1 a, and 2 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*h = 28, 178*o - 2*h - 2 = 173*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 6*j**2 - 4*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 47*c**2 + 3*c + 6. Let d be s(7). Let l = d - 580. Round l to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*o - 859 = -838, 5*k - 3*o = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/sqrt(7) + 5 - (sqrt(19) + sqrt(114)\/sqrt(6)*2))**2 + (-2*sqrt(114)*1)\/(sqrt(48)\/(sqrt(8) + sqrt(32))).\nAnswer: -26*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/(-35))\/((-16)\/(-40))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o - 6*o - 4*o**4 + 0*o + 6*o**4 - 1 - 6*o**3 + 26*o**3 + o**2 as k*o**3 + q*o**2 + r*o**4 + j*o + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + c. Suppose 5*z - 13 = -3. Let x(h) = -5*h**2 + 2*h**2 - 3*h - h**2 - z. Give 3*r(d) + x(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -3*h. Suppose -2*w + h = 6, -3*n - 15 = -3*w. Let r(k) = k**3 + 7*k**2 - k - 1. Give r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/11*5\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 16*s**3 + 3022170*s - 3022149*s - 10 to the form p*s + g*s**3 + t*s**2 + r and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + 0*c)*(-2*c**3 + 0*c**2 + 0*c**2) + (0 + 0 - 3*c**2 + 2*c**2 - 3*c + 3*c + (7 - 1 - 4)*(-1 + 1 + c**2))*(-5*c + 30*c**2 + 5*c).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*2)\/sqrt(9) + sqrt(18))\/(sqrt(150)*1 + sqrt(6)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*r - 176*r + 303*r - 7033584 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4 - (-1)\/(-4 - -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b**5 - b**5 + 5*b**5 + (b - 2*b + 3*b)*(6 - 2*b**4 - 6).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/((-13536)\/(-47))*(3\/(-6))\/(2\/156)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**9\/30240 + i**6\/240 + i**5\/20 - i**2. Let h(t) be the third derivative of f(t). Find the first derivative of h(r) wrt r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (184\/36 - 5) + (-8)\/18. Let o be 2 + -1 - (-1 + -1). Which is the second smallest value? (a) o (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2657, -5309, -7961?\nAnswer: -10613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - (-12)\/6)\/(-4). Solve w = 7*c + 22 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2775168 by 176.\nAnswer: -15768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 31*m**3\/6 - 12*m**2 + 10*m. Let a be k(-6). Let x = -97 - a. List the prime factors of x.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 2) + 5\/1. Let q(m) = 3*m - 3. Let h be q(n). Let c be (-1 + 2)*(42 - 0). Calculate the greatest common factor of h and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -243, -250, -257?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 15.66, -1, 82?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfhfhffhfhfhh. Give prob of sequence fhfh.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + x - 2*x - 1)*(6*x**2 + 106*x - 43*x - x).\nAnswer: -6*x**3 - 50*x**2 + 124*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -222800 + -0.4?\nAnswer: -222800.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32733 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 824474\/(-168)*(-3)\/4. Let u = t + -3679. Calculate the common denominator of u and -61\/34.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5305164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 10, -29 = -5*j - 2*x. Suppose d + j = 20. What is the remainder when d is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74936 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2505*z**2 + 2513*z**2 - 68*z**3 - 5012*z**2 + (-3*z**2 + 2*z**2 - z**2)*(-4*z - 4*z + 5*z) - 2*z**3 + 5 - 5.\nAnswer: -64*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 239 - 76. List the prime factors of u.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 1160\nAnswer: -43\/1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01187872 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhx when three letters picked without replacement from {a: 1, f: 2, e: 4, r: 4, x: 6, h: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6364 + 9109. Suppose 2*p + 4*z + k = -p, 3*p + 2745 = -5*z. What is p rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/(-21) - 5)*(3 + (-4 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-6) - (-2)\/(-6). Let f(w) = -w**2 + 23*w - 28. Let r be f(22). Let n be (-6)\/q*r\/(-9). Which is bigger: n or -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*a**2*d**3 + 5*a**2*d**2 - 9*a*d**4 - 25*a*d**2 + a*d - 23*d**4 wrt d.\nAnswer: 78*a**2 - 216*a*d - 552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147.28 + 147.2806423. Round b to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**6\/120 + 3*n**5\/10 - n**4\/24 - 7*n**3\/3 + 214*n**2. What is the smallest common multiple of z(-18) and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016983 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -12, -2, 28, 84, 172, 298?\n\"Answer: z**3 + z**2 - 14*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5630, 22519, 50668, 90077?\nAnswer: 140746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*w - 14, 0 = 5*w + 1 + 14. Suppose a*f = 14 - 8. Let o(h) = -1 + 105*h + h**f + 104*h - 209*h + 6*h**2. What is o(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufgguguuggg. What is prob of sequence uf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2195?\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21180 (base 12) to base 9.\nAnswer: 65526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 4*s + 3. Let m(n) = n**3 + 27*n**2 - n + 6. Let r be m(-27). Let u = -36 + r. Give z(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156\/478847 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/23 - 81\/92. What is the third smallest value in -4, c, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*n**2 - 29*n + 29*n + 33*n**2.\nAnswer: 150*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjxjjjjjjjxjxjxjjj. Give prob of picking 3 j and 1 x.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2829*t - 78 = -2930*t - 583 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-564)\/(-7144).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/(-18) - (-26)\/(-39)) + -6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12213 + 12264. What is the remainder when 515 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.05 - 26.95. Let d = 23 + b. What is the closest to 1 in d, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 870 and 1102?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204\/(-10)*(-46900)\/56?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -301.6, 0, 3\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6164820?\nAnswer: 2, 3, 5, 29, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 22 + 2 = 0. Suppose -3*p - 5*t - 2 = -3, -j*p = 4*t - 6. What is the remainder when 2 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5249 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/20 + 5*z**4\/12 + 29*z**3\/6 - 7*z**2\/2 + 23*z. Let c be o(8). Solve c - 8 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 4\/3, -2\/9, -49.2, -110, 2\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 23*m - 18. Let w be k(-9). Let g be (w\/(-60))\/((-6)\/50). Find the common denominator of 27\/4 and ((-3)\/15)\/(g\/335).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 991 + 725 = 0. Round p to the nearest 10.\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 23 + 41 = 0. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41\/70 + 3\/10. Let l = -808 - -2602\/3. Let d = -60 + l. Which is the smallest value? (a) -3 (b) d (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.01 * 319.3161\nAnswer: -3.193161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 3*j + 7. Calculate z(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 23 from -144754.\nAnswer: -144777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 9 = -3*q. Let b(w) = w**3 + 19*w**2 - 28*w - 23. Let t be b(2). Solve 2*k + 5*z = 18, -z - 30 = -t*k - q*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 657\nAnswer: -16\/657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/7, -0.1, 46, -1680\/11 in decreasing order.\nAnswer: 46, 2\/7, -0.1, -4, -1680\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207407 and 2395?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 + 7*c - 9. Let g(f) = -11*f**2 + 10*f - 29. Let w(m) = 8*m**2 + 8. Let k(z) = -g(z) - 2*w(z). What is 5*k(a) + 7*y(a)?\nAnswer: -4*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**5\/5 + g**4\/2 - g**3\/3 + 1. Factor w(f).\nAnswer: -f**2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -953 + 952.9907. What is the biggest value in -5, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 - 180. Let u = f + 99.2. Let m = 0.4 - 0.3. Which is the nearest to u? (a) m (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 96 = 5*j. Let q = j + 44. Let b = q - 15. Solve 3*p - 3*u = -3, -4*u - 41 = -b*p + 7*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1131)\/(-6))\/(-13) - -12.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -5*q**7\/1008 + 7*q**5\/60 + 19*q**3\/6 - 42*q**2. Let o(x) be the third derivative of g(x). Let p(r) = -2*r. What is p(o(s))?\nAnswer: 50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 5. Let r = 17 - q. Let m = r - 11.1. Which is the smallest value? (a) m (b) -1 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 154*k = 157*k - 16, 0 = -2*k for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5076*u**3 - 41748*u**3 - 14214*u**3.\nAnswer: -61038*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14.37, 6, -0.2, 1\/2, 1?\nAnswer: -14.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3258110271 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: Which is smaller: -2\/7 or 293?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 20. Let d be i(-14). Suppose 24*n = d*n + 4. Calculate the remainder when 4 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75078*h**2 + 75080*h - 2 = 0. What is h?\nAnswer: 1\/37539, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35230940 by -3.\nAnswer: 35230940\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/16)\/(286\/52). Let m = 7 - 6.5. What is the second smallest value in m, l, -4\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 251*j + 269*j = 309, -3*o - 48*j + 3 = -47*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136202\/205 - (-4)\/(-10)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1532404\/175 or 8758?\nAnswer: 1532404\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (2 - -10)) + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:14 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*w + 33*w + 5*w.\nAnswer: 78*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442 and 273.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 5\/3627313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44623966.572 - -0.01452.\nAnswer: 44623966.58652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 6 = -64. Suppose -q*o = -11*o - 336. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + 2*t, 3*l - 47*t = -45*t + 4. Let q(b) be the second derivative of 1\/6*b**4 - 7*b + 0*b**3 + l*b**2 + 0. Let g(h) = 5*h**2. Give q(g(w)).\nAnswer: 50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 5*s**2 - 24*s - 6. Give h(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -62 (c) -2 (d) -1.5 (e) -382\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*i - 0. Suppose 8*v = 3*v + 35. Let t = v - 4. Solve i = -5*q + 2*d + 29, 0 = t*q - d - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(20)\/sqrt(4)) + sqrt(130)\/sqrt(10)*1.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0*b**4 + 25*b + 223\/6*b**3 - 5 + 0*b**2 - 123\/10*b**5. Find the second derivative of f(m) wrt m.\nAnswer: -1476*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.83 - -0.17. Put j, 0.4, 0 in descending order.\nAnswer: j, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -14 - (-15 + 15) - (12 + -28 - -13)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11529121 + 0.1319\nAnswer: 11529121.1319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376172619?\nAnswer: 3, 2857, 43889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73187.\nAnswer: 163, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -925.673303 rounded to the nearest integer?\nAnswer: -926","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*2*-1)\/(-6*(sqrt(3) - sqrt(6)\/sqrt(2)) - (sqrt(48)*5 + sqrt(3) + sqrt(3) - sqrt(3))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 30*v - 3 - 1 - 18*v + 15.\nAnswer: 12*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 2158*f.\nAnswer: 2*f*(f - 1079)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 13*y = 3*w - 6, -30 = -15*y + 5*w - 9*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 642700 divided by 128540.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 - -52. Suppose v*m = 12 + 40. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 116*t - 56444. Let d(x) = 26*x - 14111. Give 9*d(o) - 2*w(o).\nAnswer: 2*o - 14111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minus 846?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97859 + 97859 - 245*k)*(-3*k**2 - 2 + 2) as t*k + a + s*k**3 + c*k**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s. Let g(j) = 2118*j**2 + 9*j + 2. Give g(m(v)).\nAnswer: 33888*v**2 + 36*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 5. Let m(z) = -z + 1. Let i(q) = -5*m(q) + o(q). Let a(u) = 8*u**2 + 3*u. Calculate a(i(b)).\nAnswer: 8*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 22*i - 204 = -268, 2*h - 8*h + 2*i = -260 for h.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 30*p**2 + 7*p - 1. Let x be t(-3). Suppose c = 4*h + 42, -3*h = -3*c + 103 + 68. Calculate the greatest common divisor of x and c.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/5, -0.04, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p - 2 = 0. Let k = 1\/52 - 79\/52. What is the closest to -2\/11 in p, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 16 - 19 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (sqrt(325) + -3))**2*-3 + ((sqrt(325) + 0)*-6)**2 + -1.\nAnswer: 11672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, -157\/27, 1 in descending order.\nAnswer: 1, -2\/29, -157\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191, 407, 625, 845?\nAnswer: 1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16183 + 35844. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 3. Give f(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 626 - 383. Is p\/(-27)*346\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -3\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9773435, -39093745, -87960929, -156374987, -244335919, -351843725, -478898405?\n\"Answer: -9773437*k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8300 and 11288?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*8\/40*35*2\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 64 - 3*l + 9*l - 75. Let h be z(9). Suppose 5*j - 219 = -9. Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -14, -30, -52, -80?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from ttryztattzz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**16)**9)**(-49))**37 assuming i is positive.\nAnswer: i**244755","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32527.\nAnswer: 11, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502451283 to the nearest integer?\nAnswer: 22415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6802, 13630, 20458, 27286, 34114, 40942?\n\"Answer: 6828*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 10*b - 8. Suppose -r + 14 = 6. Calculate the remainder when z(-7) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 6:02 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 16*j - 17. Let u be v(-3). Let q be 1\/1 - (-1 + 3). Let k be q\/((-3)\/12) - -1. Calculate the greatest common divisor of u and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -735 by 17.\nAnswer: -735\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 153 - 444 - 431*j + 101 + 94.\nAnswer: -431*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -1196, -1677, -2078?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (6 - 3))*44. Find o such that 245*o**2 + s*o - 77*o + 129*o + 20 = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6) - (sqrt(6)*1 - sqrt(6))) + sqrt(7)*4*5.\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.93 - -63.93. Let r = -29 + p. Let m = r - 32.57. What is m rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {g: 4, o: 3, j: 6, s: 6}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 5, 0.1, -3\/5, 0.05?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 0) - (263 + -262)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/88)\/((-15)\/6). Let w(a) be the second derivative of -1\/12*a**4 + 0 - 3*a + x*a**5 - 1\/2*a**2 - 2\/3*a**3. Determine w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1283, 1095, 787, 365, -165, -797?\n\"Answer: c**3 - 66*c**2 + 3*c + 1345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 39*n - 8*n. Suppose -11*l + 1714 + 9297 = n. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 80*c**3 - 7*c**2 + 12*c - 13. Let h be f(4). Factor 171*v + h - 17*v**2 + 58*v + 17*v + 20*v**2.\nAnswer: 3*(v + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-7 - -4)) + (1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g + 371 - 119. Calculate the greatest common divisor of g and 1110.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 32*t - 34. Let q be d(17). Solve 5*u - 3*b - 16 = q, -2*u - 3*b + 19 = -0*b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2152613789 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 145 + -144.9. Let k = 0 + 0.3. Let c = 0.3 - 0.5. What is the closest to u in -1\/2, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a micrometer in nanometers?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5000, 10213, 15616, 21203, 26968, 32905, 39008, 45271?\nAnswer: 51688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n - 10 = 0. Let r = 3 - n. Let w be (-2)\/(r*(-1 + 0)). Is 2 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -1335, -2996, -5321, -8310?\nAnswer: -11963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 65 - 11 = 3*z, -2*d + 32 = 4*z. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + p. Suppose -3*h - 10 = -l, 2*h + 14 = 2*l + 6. Let w(d) = -2*d**2 - 3*d. Calculate l*w(g) + 3*j(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.9801 to one dp.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171752.5 days to minutes.\nAnswer: 247323600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2268 a factor of 33905765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-34)\/340)\/((-2)\/(80\/18)))\/((-3)\/(-891))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3) + 3 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a6a80 (base 14) to base 6\nAnswer: 12344200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -212990 at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -71*p + 2035. Give v(29).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*n - 233*n - 2680 = -447*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976*x + 960*x + 16 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = m - 8, 2*m - 1 = g - 0*m. Suppose g*h - 10 = 3*h. Suppose z - h*u = -10, 3*z - 2*u = 2*z - 4. Is 2\/5 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n + 0*n**2 + 1\/3*n**4 + 0 + 13\/6*n**3. Find the second derivative of o(r) wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 16. Suppose -2*n = -0*n + 10. Let b = n + 3. Let x(k) = -3. Determine b*f(t) - 11*x(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39195433 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 786 - 449. Suppose -3*j + 210 = 2*b, -2*j + 7*j - b = p. Is j at most 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 8759356*p.\nAnswer: -2*p*(p + 4379678)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnllnnnnnlnnnnl. What is prob of picking 1 l and 2 n?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 344470 + -113511. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (6 + 1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a = 43*a - 19*a - 32. Let q(h) = 59*h + 228. What is q(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002002 (base 3) to base 6\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3258 and 1.\nAnswer: -3257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from {y: 2, v: 4, w: 10}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:39 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9.4*-5\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**8\/1176 + 2*m**7\/735 + m**6\/140 - 4*m**5\/105 + m**4\/21 + 95*m**2. Let c(t) = 0. What is t?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 467326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*y. Suppose -6*v + 3*v - 2*n + 11 = y, 0 = -4*v + 4*n + 8. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcee when four letters picked without replacement from {q: 2, c: 7, f: 5, e: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 2*c. Let b(h) = 3*h**2 - 3*h. Let d(o) = -2*o**2 + 2*o. Let n = 11 + -3. Let r(z) = n*d(z) + 5*b(z). Calculate 5*r(l) + 3*s(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 61 - 55 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.5. Is u bigger than 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280530 divided by -3\nAnswer: 93510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144276245*x**2 + 72138066*x**2 + 2*x**3 + 72138179*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617131733?\nAnswer: 617131733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130210 - -11?\nAnswer: -130133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -24. What is the second derivative of -h**2 + 4*h - s*h + 7*h**4 + h**2 wrt h?\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (4 - -2)\/(-1). Let t be 184\/736*(-32)\/(-10) + 36\/5. What is the second smallest value in 3, t, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-3)\/7) - 1118\/(-78). Determine s so that 10*s**2 + 4\/3 - l*s = 0.\nAnswer: 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 45 = -6. Let l(q) = q**2 + 7*q - 15. Let z be l(-11). Let p = z - v. Calculate the greatest common factor of p and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.5 + 2.7. Let b = o - 0.2. What is the nearest to b in -4, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from yafalqayfaqlyaalqy.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 520.75 + -519. What is h rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49280908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82164 and 16728.\nAnswer: 2793576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)\/(105\/(-30)). Is -116 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0081565 years?\nAnswer: 0.000081565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -1a?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -53*z**2 - 21*z - 8. Let q(s) = 50*s**2 + 16*s + 5. Calculate -3*m(g) - 4*q(g).\nAnswer: -41*g**2 - g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17675, -17683, -17703, -17741, -17803, -17895?\n\"Answer: -p**3 - p - 17673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-1287)*-18)\/(3\/99)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 + s**4 - 3*s**3 + (-s**2 + 0*s**2 - 4*s**2)*(4 + 4 - 3)*(-2*s - 5*s**2 + 2*s + 2*s).\nAnswer: 126*s**4 - 50*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1830*w + 1440*w - 4192*w + 1522*w.\nAnswer: 600*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 8*o**2 - 170*o + 888. What is u(5)?\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - ((-13)\/(-15))\/(25\/(-75)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bghhqhbogdoddg. Give prob of sequence gbgh.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2257*b = -63909 - 48941 for b.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*o + 2*o. Let s be (-2)\/(-3)*(-15)\/10. Let v be (0 - s)*(8 - 6). Solve u + 8 = -2*c, v*c - o = 4*u + 3*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(1\/2)\/(260\/208)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-518)\/(-2331))\/(2 + 10\/9)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, q: 9}. Give prob of picking 2 q and 2 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 2253?\nAnswer: -2252.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 8*p**2 - 10*p - 4. Let l be v(-9). Is (-10)\/l + (-2397)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162953 is divided by 2362.\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 126 + -116. What is the remainder when 1527 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*x, -4*h - 2*x + 12 = 2*x. Let i(k) = 0 - h - 2*k**2 + 4. Let y(f) = -f. What is y(i(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1636?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -498 - -582. Calculate the highest common factor of 112 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102627 at least -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from hhhtijztzzv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5747, 4\/5, 4\/9, 4, 0.5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*k + 95 + 516*k - 133.\nAnswer: 25*k - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -53 + 24 + 16*w - 4. Let q(o) = -48*o + 98. Let d(c) = 7*m(c) + 2*q(c). Does 25 divide d(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*l - 1813*l**3 - 48*l**2 - 3*l**5 + 31*l - 48 - 1833*l**3 + 15*l**4 + 3634*l**3.\nAnswer: -3*(l - 2)**3*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -44. Let o = s - -61. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {r: 7, s: 1, l: 1, c: 3, x: 3, b: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3239633, 3239686, 3239741, 3239798, 3239857, 3239918, 3239981?\n\"Answer: b**2 + 50*b + 3239582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223967.2 nanograms to tonnes.\nAnswer: 0.0000000002239672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 >= 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 29833692.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**4 - 6*r**3 - 6*r**2 + r. Let c(t) = t**3 + t**2 - t. Let f(n) = -6*c(n) - d(n). What is the second derivative of f(p) wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13550 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157812 - 157812. Factor -28\/9*t - 2*t**2 + n - 2\/9*t**3.\nAnswer: -2*t*(t + 2)*(t + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10615896 divided by -6.\nAnswer: -1769316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83 - 84. Is -2*((-2 - r)*19 + 3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h*n**3 + h*n**2 + 3*h*n - 2595584*n**6 + 8004*n**2 - 4*n wrt n?\nAnswer: 18*h - 311470080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u + 30. Let q be z(-11). Let d = q - -31. Suppose -2*c - d = 0, r + 3*c = -r + 249. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311551895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26560*m + 7573*m - 4902*m to the form q + d*m and give d.\nAnswer: 29231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 20*o**4 - 17*o**3 - 3*o**2 - 17*o. Let u(s) = -7*s**4 + 6*s**3 + s**2 + 6*s. Let k(r) = -6*a(r) - 17*u(r). Suppose k(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480.7 times 6076\nAnswer: 2920733.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*q + 42, -4*r + 4*q - 13 + 53 = 0. Let o be -38*((-20)\/(-8) - 7). Suppose r*v - o = 3*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9681 + -6908. Let y = g - 2773.0004247. What is y rounded to five dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a - 3. Let h be c(-1). Let v(n) = -n**2 - 24*n + 16. What is the tens digit of v(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519373192.\nAnswer: 2, 13, 997, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -137, -291, -419, -521, -597?\n\"Answer: 13*f**2 - 193*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - -1252. Let q = 30 + u. Suppose q = r + r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1383*l**3 + 14*l**2 + 34*l - 6. Let r be w(-3). Suppose 12*p - 89283 = -r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sstwellgt. Give prob of picking 1 s, 1 g, and 1 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5715.45?\nAnswer: 5715.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(-6) + 16)\/(220\/48).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5869837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51482 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 + 5 - 5 + (3*l - 2*l + l)*(-3*l**3 - l**3 + 2*l**3) + 0*l**4 + l**4 + 2*l**4.\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4874\/9 + -69829\/126. Let i = -23\/2 - a. Determine s, given that 8\/7 + 0*s**4 + 12\/7*s + 4\/7*s**5 - i*s**2 - 16\/7*s**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -485 + 797. Suppose x = -3*u + 15*u. Let j be (4 - u\/5)\/(3\/(-10)). Solve o = p - j*p + 11, -2*p + 5*o = -30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**0*h*h)*h)**35*(h\/(h\/(h\/h**(1\/6))))**(-49) assuming h is positive.\nAnswer: h**(-455\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.3 - -43. Let t = -11 + 7. Which is the biggest value? (a) -7 (b) 2\/9 (c) t (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 38*p**2 - 38*p - 36. Determine u(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/13, -3\/92, 28 in ascending order.\nAnswer: -2\/13, -3\/92, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -4\/7 (c) -5 (d) 17\/2 (e) -3 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 361, 2875, 9707, 23017, 44965, 77711, 123415?\n\"Answer: 360*c**3 - c**2 - 3*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45551, 91103, 136655, 182207?\n\"Answer: 45552*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 - 7)*(3*q + q**2 - 3*q) - 70 + 19 + 36 - 5*q + 12 - 18*q**2.\nAnswer: -16*q**2 - 5*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*a**3 + 27*a**3 - 4 - a - 44*a**3 - 2*a**4 - 2*a**2 as n*a**3 + t*a + i + g*a**2 + k*a**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 2*a)*(-1 - 1 + 1)*(2 - 5 - 2)*(-24 + 24 - 3*a**2)*((0*a - 2*a + 3*a)*(4 - 3 - 3) + 7 - 7 - 6*a).\nAnswer: 120*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -162536 times 17\nAnswer: -2763112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2652 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1740\/(-190) + (-3 - -12). Put g, 2, 0.1, -2\/11 in ascending order.\nAnswer: -2\/11, g, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*1412\nAnswer: -7060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 9 = -2*p + 81, 33*p = -4*x + 38*p - 74 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 + 1510*u - 691. What is t(299)?\nAnswer: 3794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = -18. Let a = z - 4. Solve 4*u + r = a*r, 2*r = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 16, -23, -88, -185?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361696792 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - -163. What is the remainder when q is divided by 56?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {g: 9, f: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 1, -3 in ascending order.\nAnswer: -4, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdj when three letters picked without replacement from djddpddddpddddddddpd.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/4 + -1 + 1. Let p be (-8)\/(-168)*r\/(-4). Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26315.\nAnswer: 5, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + m**2 + m - 4. Let n be l(0). Let d(v) = v - 7. Let c = 3524 + -3538. Let g(a) = 2. Calculate c*g(u) + n*d(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 626*q**2 - 32*q - 9972. Determine f(-313).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/3))**(-43)\/(q**1\/q)**14)\/((q**0)**(-2\/23)*(q*q**1*q)**(1\/13)) assuming q is positive.\nAnswer: q**(1109\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -445, -0.3, -0.4, 18\/5, -1\/2 in increasing order.\nAnswer: -445, -1\/2, -0.4, -0.3, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 7 = 3. Calculate the remainder when (-43 + 1)*w\/3 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j - 3 + 2*j**4 + 4*j + 0*j + 1. Let i(v) = v**4 + 3*v - 3. Let b(t) = 4*i(t) - 3*m(t). Differentiate b(u) with respect to u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/(25\/6 - 4). Does 12 divide (18\/o)\/(78\/416)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 162*v**3 - 335. Let t(n) = -2*n. Determine t(o(w)).\nAnswer: -972*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -313104110 (base 5) to base 9\nAnswer: -2401883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03769 to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 0.054?\nAnswer: -7.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**6\/6 + o**4 - 112*o**2 - 93. Find the second derivative of x(f) wrt f.\nAnswer: -20*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 2. Suppose 0 = -3*t - 3 + 15. Let x be f(t). Suppose -4*v + 4*d - 3*d + 11 = 0, -x*d = 5*v - 4. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 3*z + 15, 60 - 55 = -4*x + z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 3*b - 8 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*x + 3, 2*g + 0*x = -4*x - 6. Suppose -8*k + g*k = 10, 0 = 4*d - 5*k - 18. Suppose -5*y + 21 = -d*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 1201122111222002?\nAnswer: -1201122111221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 - h**2 - h - 1. Let p be b(-1). Suppose -17148 = 4*a - 0*t + 3*t, p*a + 12890 = 5*t. Let i be (40\/3)\/((-4)\/a). Round i to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 17. Which is bigger: a or 2\/19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*n - 6225 = 49*n + 140*n. Which is smaller: -549\/23 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r - 448 - 272 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-4 - -21)) + 9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16970 is divided by 1262?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 5*f - 34, 0*f = -2*f - 2*i + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 127.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oamkkdkk. Give prob of sequence od.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -88*i. Let p(z) = 147 - 40 - 44 - 60 + 15*z. Give p(t(r)).\nAnswer: -1320*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + (-62 - 10) + 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**3 - 44*b**2 - 324*b - 3364. What is y(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289 - 525 = -74*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13167317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12))\/1*-6*(-8)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -268 + 263. Let a = -119 + 1069\/9. What is the third smallest value in 1\/2, a, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvwvvw. What is prob of sequence wwvv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*g + 12 = 5*g, 0 = 5*o - 2*g + 13. Which is the third smallest value? (a) -0.2 (b) o (c) -136 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(5 + (4 + sqrt(704) - sqrt(264)\/(sqrt(6) - sqrt(24))))**2 + 1.\nAnswer: -21257 - 3240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 0 + 2. Let u be q + 2\/4*4. Solve 2*c - u + 7 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977 + 0 - 5*m**2 + 187 - 405*m = 0.\nAnswer: -79, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.9877 - -34. Round x to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/213? (a) 1 (b) 5 (c) 233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)\/(n\/((n*n**(3\/2)*n)\/n)))\/(n**(-1\/3)\/(n**2*n)) assuming n is positive.\nAnswer: n**(133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 705 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + (sqrt(128) + 0)*5)*2.\nAnswer: -2 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 7*g + 5. Let l(q) = 3*q**2 - 8*q + 6. Suppose -4*r + 24 = -0. Let o(i) = r*h(i) - 5*l(i). Find the second derivative of o(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00467049 to 5 dps.\nAnswer: -0.00467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 11, g: 2}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2. Let i(o) = -18*o**2 + 34. What is q(i(l))?\nAnswer: 324*l**4 - 1224*l**2 + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**3*v + 32*d**3 - 7*d**2 + 159*d*v + d - 4*v - 1 wrt d?\nAnswer: -30*d*v + 192*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -29 - -43 - 300\/25\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*y = 54, s + 82*y = 85*y - 59. Let r be (12 + s)\/8 - (-10)\/4. Which is the second smallest value? (a) r (b) 7 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15*i. Suppose 3*d - 201 = -j, d - 5*j = -d + 117. Let n = d - 37. Calculate the remainder when n is divided by k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4960\/7 - -710. Is 0 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-2)\/((-48)\/(-186453)). Let w = j - 7755. What is the common denominator of -11\/8 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55? (a) -0.1 (b) -5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 19011048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -3?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/108)\/(3\/(-6)). Let f = -17\/54 + n. What is the biggest value in 4\/9, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*y - 196*y + 41*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**5\/7 + 12*x**4\/7 + 4*x**3\/7 - 12*x**2\/7 - 8*x\/7 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 101*u**3 + 2*u**2. Give d(1).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbzbzzz. Give prob of picking 2 z and 2 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 866.\nAnswer: -12990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116283, -232536, -348767, -464964, -581115, -697208, -813231, -929172?\nAnswer: -1045019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -157, -315, -473?\n\"Answer: -158*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 35840908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**2 + 26*a**2 - 403*a - 6*a**2 - 5*a**2 in the form u*a + o + y*a**2 and give u.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 373 (base 10) to base 16\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 92873383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7 = 5*z, 2*d + 5*z = 4*z + 5. Solve -d = -2*b + b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12497302*n**2 + 6*n**3 + 12497302*n**2.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 7) in base 10?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 + 3*z**2 - 4. Let n be k(-2). Let o = -8 + n. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1737 (base 10) in base 2?\nAnswer: -11011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 + 1)\/(-2))\/1. Let s = -0.3 - -0.3. Let a = s + 0.7. Is a less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 713953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44829*o**6 + 97*o**5 - 517916*o**2 + 40*o.\nAnswer: -5379480*o**3 + 5820*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from llxd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u - 3*u**3 + 4*u**3 - 2 + 1. Let h(n) be the first derivative of 3*n**4 + 11*n**3\/3 - 5*n**2 - 11*n - 1. Calculate 2*h(v) - 22*o(v).\nAnswer: 2*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-15))\/((-4)\/(-20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 0, 1\/9, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 5. Let l be i(5). Suppose 3*b - j - 62 = 0, -4*b = -j - l*j - 82. Calculate the highest common factor of 100 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17797*o**2 - 124575*o + 7. Determine w(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697042 (base 12) in base 7?\nAnswer: 54521513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97220901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1463220 and 527340?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1017, 1026, 1037, 1050?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:50 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*q - 404, 0 = -3*q - 0*y - 2*y + 303. Let k = -68 + q. 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: Find the second derivative of -259456 + 39*q + 259456 - 6491*q**3 wrt q.\nAnswer: -38946*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17)*t\/(t\/(t*t*t\/(t*t*(t\/t**(1\/8)*t)\/t*t)*t*t)))\/(t**8\/(t**3\/t)) assuming t is positive.\nAnswer: t**(-679\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/3)*i)\/i)**7\/(i**1)**(-13))\/((i**3*i*(i\/(i\/i**(-3\/7)))\/i)\/((i*i*i*i*i\/i**(-2\/3)*i)\/(i**(1\/4)*i))) assuming i is positive.\nAnswer: i**(1723\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 143951654.5 - 12762?\nAnswer: 143938892.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9) - (-140)\/15. What is the highest common divisor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10710 and 14790?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*d + 65 = 178*d + 4*w, 0 = 10*d + 2*w + 62 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -56 (b) -0.06 (c) -4 (d) 1 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 121, 121, 123, 127, 133?\n\"Answer: d**2 - 3*d + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4407 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Suppose 0*q = -f*q + 33. Calculate the highest common factor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) 12 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -27.\nAnswer: -11\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.5 * 771.\nAnswer: -38164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 221.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 678 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1264 (base 15) in base 16?\nAnswer: -f4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -10, -2\/7, -0.1 in decreasing order.\nAnswer: 1, -0.1, -2\/7, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1130, 1143, 1174, 1223, 1290?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -57, 738?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -101, -58, 5, 100, 239, 434?\n\"Answer: 2*q**3 - 2*q**2 + 35*q - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*y + 2*y**3 - 161 + 73*y + 0*y**3 as g*y + m*y**3 + a + h*y**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 2*b - 15. What is v(0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -35, 17947, 4, -2 in descending order.\nAnswer: 17947, 4, -2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r - 108 = d, 3*r - 4*d - 68 = 0. Calculate the remainder when r is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 26*p + 1774. What is n(-69)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -15569\nAnswer: 10898.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 291240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(704) + -5 + (2*sqrt(704) - sqrt(704)))**2.\nAnswer: -880*sqrt(11) + 85209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17830 or -17826?\nAnswer: -17826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 84 (b) -30 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*r**4 + 77*r**3*u**3 + 22*u**3 + 359*u + 5 wrt r?\nAnswer: 28*r**3 + 231*r**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*g - 37*g + 7*g - 432 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -90912 divided by 3\nAnswer: -30304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10699 + 149853\/14. Let g = k - 9\/2. Let s be (2 - 2) + (-4)\/(-16). Which is the third biggest value? (a) g (b) 2\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a tonne in kilograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 7*y**2 - 8*y - 8. Let t(w) = -191 + 26*w + 590 - 217 - 226. Let o be t(2). Calculate l(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12430?\nAnswer: 2, 5, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95403 and 210?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 152 = 52. Let k be b\/(-7)*(-14)\/(-4). Suppose -o - o = -k. Solve -o*j = -14 - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - n**2 + 1. Let t be g(1). Let o = -9 + 9. Suppose -20 = -2*s + 2*l, o = -4*l - 19 + 3. Solve t*p + 4 = -s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**3 - o**2. Suppose 59*s - 72*s = 65. Let f(z) = 17*z**3 + 2*z**2. What is s*r(i) - 2*f(i)?\nAnswer: 11*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1365)\/(-9)*(-3 + -6). Let c be i\/700 + (6\/8 - 1). Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-280)*830\/(-4) - 15\/20)*2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35154+-16686\nAnswer: 18468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41936527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9168)\/105 + (-10)\/25. Let x = d + 88. Sort -1, 1\/4, -4, x.\nAnswer: -4, -1, 1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124726.2947 rounded to the nearest one thousand?\nAnswer: 125000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11259127, -11259146, -11259167, -11259190, -11259215, -11259242?\n\"Answer: -w**2 - 16*w - 11259110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b + 1. Sort 1, b, 5 in descending order.\nAnswer: 5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -371015 or -371011?\nAnswer: -371011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -975\/1028?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - 1 - (7314 + -7403).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*-1*(sqrt(567) + 1) - (3 + (sqrt(7) - (sqrt(56)*-1)\/sqrt(8))*1))*2)**2.\nAnswer: 480*sqrt(7) + 11236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 13 - 23 = -5*j, 4*q = -3*j + 14. Let m(k) = -2*k**2 + 2*k + 1. Let w(x) = x + 0*x - 3*x - 1 + 2*x**2. Give q*w(o) + 4*m(o).\nAnswer: 2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-2 + 0 + 1)*(3*o - 2*o + 0*o)*(-129 + 266 + 296).\nAnswer: -866*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y - 66. Let u be t(23). Let l be 2\/8 + 19\/4. Suppose -u*q + l = -19. Solve 3*b = q + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*l + 2 - 5 - 25 - 29 + 8*l to the form j + g*l and give j.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73857460.\nAnswer: 2, 5, 3692873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001167 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t + 108. Give i(-32).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 401 + 125 = -27*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 993633 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {f: 2, z: 1, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**4\/4 - 17*i. Let x(n) = n. Let k(r) = 2*r. Let a(z) = k(z) - 3*x(z). Give a(l(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/5 and -48\/17?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i = -z + 30*i - 12, 2*z = 3*i + 21 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8962 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -131, -455, -1103, -2183, -3803, -6071, -9095?\nAnswer: -12983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.1 - -4.9. Let x = -9 + 6. Which is the smallest value? (a) x (b) 1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:10 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 102 = 3*f - 6*f, b = -5*f - 46. Let g be b\/(-341) - (-50)\/(-1034). Let m = 2.9 + -3. Which is bigger: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.7 - 22.70000103. What is r rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3397 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 divided by 151?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 26 + 10*c**3 + 11*c**3.\nAnswer: 25*c**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10549923*c**2*k**3*o + 586477*c**2*k**2 + 5*c*k**3 - 2*k with respect to o.\nAnswer: -10549923*c**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6ad + 20?\nAnswer: 6cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t**(7\/5)\/t*t)\/t*t)\/t**(-3\/4)*(t*t**(-4))**(1\/37) assuming t is positive.\nAnswer: t**(2271\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18048747 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004469 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*n + 67*n + 36*n - 904*n**2 wrt n.\nAnswer: -1808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107094*k - 106948*k = -15184 for k.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 1518*z**2 + 1940*z + 91. What is the first derivative of r(p) wrt p?\nAnswer: 3036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**5\/100 - 3*v**4\/4 + 189*v**3\/10 - 2187*v**2\/10 - 2*v + 1072. Solve t(w) = 0 for w.\nAnswer: 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) -0.063 (c) 0.5 (d) -2 (e) -3.712 (f) 0.1 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 48 - (0 - 1)*1. Let r(p) = -74*p + 9. Let j be r(-1). Suppose 0*c - 2*c + k = 3*l, 4*c + 3*l = j. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 16*i + 22. Let f be g(14). Let k(a) = -3*a + 4. Let x be k(f). What is the derivative of 15*o**4 - 4*o**4 + x - 10 wrt o?\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -338*q**3 + 664*q**2 - 314*q - 12 = 0?\nAnswer: -6\/169, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(55\/(-30)))\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/3 + 33*a**2 + 865*a\/3 - 321 = 0?\nAnswer: -9, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3151484*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -70970300 to the nearest 100000.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - 3) + (-1566)\/(-405) + (-4)\/(-30). Put g, -39, 16 in increasing order.\nAnswer: -39, g, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978966?\nAnswer: 2, 3, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 364 + ((-4)\/14 - (-32)\/14). Is 18 a factor of (p\/(-4))\/(3\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/25)\/t)\/t*t)\/t**(-2\/9))\/((t*t*t**(4\/11))\/(t\/((t*t**(-9))\/t*t))) assuming t is positive.\nAnswer: t**(14698\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 10*h + 20. Let o be p(-12). Suppose -2*x = -19*k + 14*k + 1768, 688 = 2*k + 4*x. What is the highest common divisor of o and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 699138599778532 and -1.\nAnswer: 699138599778531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1583807ml to litres.\nAnswer: 0.0001583807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h + 3*i + 6287, -5*i = -3*h + 9433. Suppose -18 = -3*y - 3*u + 2331, 0 = 4*y + 3*u - h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2249190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (3 - (5 + 9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -71*o**3 + 3*o**2 - 34*o - 97. Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 0 + 2*j**2 + 3 + 0*j**2 + 3*j. Suppose -5*y - 3*i = -45, -3*i + 15 = -6*i. Let h be (3\/y)\/((-49)\/588). Determine r(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7914 + -0.791418676. Round f to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -267.\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 7*w + 8. Let k be y(-8). Suppose k = -n + 4*p + 177, -5*p + 0*p = 2*n - 341. Suppose -n = -2*a - 71. Which is smaller: a or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/2 + 2*j**2 + 2*j - 8 = 0. Calculate j.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l + 13 = -31*l + 2*o, -5*l - o = 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = -2*o. Let g be (-2)\/5 + 472\/o. Suppose g = 4*l - 38. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 2*c**2 + 2. Let m be d(-2). Let l = m - 11. What is the units digit of (-3)\/(l\/(-6)) + 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*v**3 + 338*v wrt v?\nAnswer: 996*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i*i**1*i)\/i*i)\/(i**5\/i))**(3\/22)*(i\/(i*i**(1\/3))*i)**(6\/35)*(i**(2\/3)\/i)\/(i*i*i**(-5)) assuming i is positive.\nAnswer: i**(6739\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/693 and -19\/4059.\nAnswer: 28413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - h + 31, 78*h + 5 = 83*h. Solve f*s + 9*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 28. Suppose 0 = -2*x - 3*x + i. Find the third derivative of -v**x + 0*v**4 + 2*v**2 + v**2 + 3*v**4 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 47*n + 150. Let m be g(-3). Solve -m + 5 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2553 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -1\/5, 13818?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29\/75 + -8\/25. What is the closest to -1\/4 in 0, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 9*j**2 + j - 17*j**2 + 13*j**2.\nAnswer: 5*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31502 is divided by 1124?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10194193 to the nearest integer?\nAnswer: 3193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124143, -495877, -1115427, -1982793, -3097975, -4460973, -6071787?\nAnswer: -7930417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -113*n**3\/3 - 12*n**2 + 128*n. Let z be q(-3). Round z to the nearest 10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/3 (b) 3 (c) -30 (d) 19 (e) -0.01 (f) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*o + 45*o - 33. Let i(h) = h**3 - 12*h**2 + 28*h - 12. List the prime factors of i(o).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cc6 + -3?\nAnswer: -cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhlltdqlhhgh. What is prob of sequence htl?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4692870 and 65650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-35)\/(q\/(q**(-3\/5)\/q*q))*q*q*(q*q**38)\/q*q*q\/(q*q\/(q\/(q\/q**(-1\/8)))) assuming q is positive.\nAnswer: q**(131\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 94702639351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -193, -449, -807, -1267?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11444?\nAnswer: 2, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 6*m**2 - 5*m + 5. Let w be q(-5). Solve 0 = 2*d + k - 2*k - 10, -w*d = -3*k - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.05 + 0.05. Let f = -1.6 - q. Let r = -0.1 + -0.4. What is the smallest value in r, 4, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314687.5km in micrometers?\nAnswer: 314687500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 203 = 371 - 208 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 8*c**2 - 12*c + 8. What is b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a factor of 757146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 - 2102\/840. Let s = -601\/10 - -1907\/30. Let h = s + j. What is the common denominator of 67\/9 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114804.41 - -16.\nAnswer: -114788.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 92*z - 1120.\nAnswer: 2*(z - 10)*(z + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gezesgzreg. What is prob of picking 1 e and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 6*w + 2*w = 60, 4*o - 85*w + 86*w = -12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + 0.02. Which is the biggest value? (a) 2\/11 (b) 0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5 - 6)*(-26*c - 133 - 35*c - 26*c + 89*c).\nAnswer: 18*c - 1197","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84681 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 19573*h. Let g(m) = 234*m. Calculate s(g(y)).\nAnswer: 4580082*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*w = -42, k - 396*w + 394*w = -26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2.38, -90, -1\/2 in decreasing order.\nAnswer: 4, 2.38, -1\/2, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -224\/3, 16476, 1\/6?\nAnswer: -224\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2178 - 9055 - 51043 = -3620*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 437 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 15 = 6*i. Suppose 0*u - 63 = -i*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j + 4845 = 5320 - 2217 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 2*t + 13, -53 = -7*n - 884*t + 886*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49062, -48654, -48246?\nAnswer: -47838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z = -60*z - 9. Calculate the lowest common multiple of 22 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/25)*i)*i*i*i**(1\/11)*i)\/(((i*(i*i**(-6))\/i*i*i)\/i)\/(i\/(i\/i**(2\/19)))) assuming i is positive.\nAnswer: i**(37182\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -11*x - 116. What is the highest common factor of 319 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 285326 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = -3*k - 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 479972963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -676044814 - -3.\nAnswer: -676044811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9008 or -14300?\nAnswer: -14300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, s: 5, z: 5, m: 1, i: 1}. Give prob of picking 1 z and 1 i.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 384*p**2 - 8820*p + 19208.\nAnswer: -4*(p - 2)*(p + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2. Let z(w) be the second derivative of 103*w**3\/6 + 3*w**2 + 4252*w. Give z(n(k)).\nAnswer: 309*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.7, 2\/11, 1\/6, 4, -29?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 26*f**2 - 48*f. Calculate the least common multiple of r(2) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -831, -18, -5?\nAnswer: -831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-59 + (0 - -3))*-1. Calculate the highest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*5\/30 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 333.17 - 315. Let k = v + -18. Let p = k - 2.6. Round p to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) - (-2 + sqrt(500) + sqrt(500)))*-5 + 0 + -2*sqrt(500))*5 + -5 + -3*(sqrt(500) + sqrt(500)*4*-2))**2.\nAnswer: -39600*sqrt(5) + 651025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 4:32 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2514.34 litres?\nAnswer: 2514340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u*w**3 + 2*u*w**2 - 10*u*w - 49*w**3 + 57*w**2 wrt w.\nAnswer: 6*u - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 6*r - 189. Let q be 4109\/63 - (1 + (-21)\/r). Calculate the greatest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313+772527.602\nAnswer: 772840.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/7 - (-10)\/35. Let g be k - (-2)\/(-1 + -1). What is the greatest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3505 and -0.057.\nAnswer: -3505.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((153\/6)\/17)\/(4\/(-16)) - -2. Let l(z) = 2*z**3 + 3*z - 2. Let m(g) = -4*g**3 - 6*g + 4. Give r*m(i) - 7*l(i).\nAnswer: 2*i**3 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, d: 4}. Give prob of sequence ydd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.01744 or 392\/5?\nAnswer: -12.01744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -14*z + 8*z**2 + 2 - 19*z + 29*z. Calculate the lowest common multiple of a(1) and 124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4730348 divided by -1687?\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n. Let r(s) = -443*s**2 + 365*s - 365*s. Determine r(k(a)).\nAnswer: -3987*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.024, 0.1, -0.4, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2196 and -55\/1647?\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20)*(56\/(-2))\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-31)*q*q*q**(-1\/16)*q assuming q is positive.\nAnswer: q**(-433\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3\/4))\/p)**10*p**11\/p*p*p*p*p**(-6\/7)*p*p assuming p is positive.\nAnswer: p**(303\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93*m**4 + 409*m**2 - 2993201 wrt m?\nAnswer: -372*m**3 + 818*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 8*b - 30. Let t = -8 - b. Let j(w) = 3*w**2 + 2*w - 1. What is the units digit of j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s + 5*m = 95, -58 - 48 = -3*s + 3*m - 97 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289114.1 minutes to nanoseconds.\nAnswer: 17346846000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 72036.55 weeks?\nAnswer: 43567705440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5396 (b) 0.12 (c) 1\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + p = 6, 0 = -4*n + 3*n + p. Suppose -3*a + 0*a + 3*s + 3 = 0, -n = -2*s. Find the second derivative of -2*r**a + 2*r**2 + 3*r**5 + r wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 93306047 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5, -p - p = -s + 35. Let a(t) = 6*t - 9. Let c be a(6). Let z = c + p. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2249978496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*k**2 + 986*h + 228*k**2 + 373*k + 3 wrt k?\nAnswer: 4*h*k + 456*k + 373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)*6*4\/12. Let u be ((-116)\/(-16) + -6)*(-144)\/z. What is the greatest common divisor of u and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-9) + -1)*3. Suppose -2*o - 14 = -6*o + 2*d, 4*d - 20 = -4*o. Solve r + o = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 675*i**3 - 30618*i**2.\nAnswer: -3*i**2*(i + 63)*(i + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z + 8*z + 1980 = 0. What is the greatest common factor of z and 1836?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-21) + 5\/(-3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/6 - -1)\/(12*25\/(-5400)). Solve 24*f + l = 34*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 21. Let s = 1 - t. Suppose -15 = 10*r - 13*r + 4*y, r + 4*y - 5 = 0. What is the smallest value in s, r, 2, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9))**(-5\/3) assuming x is positive.\nAnswer: x**(10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 = 2. Let b(t) = -t**2 - 5*t - 4. Let f be b(-3). Suppose -f*u = -7*u - 10. Sort 5, u, v in descending order.\nAnswer: 5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -441?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272800 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382, -163, -1126, -2513, -4330, -6583, -9278?\nAnswer: -12421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30339, 30345, 30355, 30369?\nAnswer: 30387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0055138 to 5 decimal places.\nAnswer: 0.00551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - 5*u**2 - 14 + 28 - 12 to the form o + h*u + n*u**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 + 443*p - 597. Is h(101) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1935059*q**3 + 967264*q**3 + 967797*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711720 a multiple of 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 144*b - 5. Let o be x(1). Which is smaller: o or 140?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 6 - 4)*((-3*k + 2*k + 3*k)*(2 - 2 - 3) + (-1 + k + 1)*(-2 + 2 - 2)) in the form y*k + u and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-68416)\/(-29932))\/((8\/84)\/1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 2, -5, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19965754241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 0.0682.\nAnswer: 5.0682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (230 - 121) + (14 - -2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 451?\nAnswer: 5863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 2 + (4 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 not equal to 0.145799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 2*u**2 - 2*u - 1. Suppose -5*x + 10 + 0 = 0. Let c be y(x). Let h(o) = 5*o - 4. What is the remainder when h(c) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**6\/120 - y**5\/15 - y**4\/4 + y**3\/6 + 2*y**2. Calculate the remainder when h(6) is divided by 26\/(2 - (0 + 0)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*y - 6574 - 2846 = -996 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -2*r - 3*u, 0 = -5*r - 3*u - u - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 minutes after 5:47 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952, -913, -804, -589, -232, 303, 1052, 2051?\nAnswer: 3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 79554010, 79554008, 79554006, 79554004, 79554002?\n\"Answer: -2*c + 79554012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adddwdadddxx. Give prob of picking 1 d and 1 w.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -u + 4*u + 5, 3*u + 5*w + 40 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2492 and -0.7.\nAnswer: -1744.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9 + 3*x**2 - 4*x**2 + x**2 - 4*x**2. Let p(i) be the second derivative of -i**4\/12 - i**2 + 3*i. Determine -2*b(t) + 9*p(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.289. Let r = h + 0.015. Round r to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxookowoooookxox. What is prob of sequence xkwx?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 697625 and -10752?\nAnswer: 708377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 3*i**4\/2 - 31*i**3 + 201*i**2\/2 - 78*i - 1498. Factor y(h).\nAnswer: 3*(h - 13)*(h - 2)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 210? (a) -0.5 (b) -0.4 (c) -1\/3 (d) 13 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -8, -9\/5, 2\/7, -1\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b12 (base 14) to base 3.\nAnswer: 2222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-650)*1*-6)\/((-3)\/5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g + 46. Let j be c(-5). Let b(y) = -y - 26. Let a(p) = 3. Let z(l) = 3*a(l) + b(l). Give z(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 4*f - 2*f - 5*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + 71. Suppose 0 = -4*x + 16, 5*j - 4*x = -8*x + a. Calculate the remainder when 52 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81578120 to the nearest 1000000.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a + 2. Let s = -1 - -1. Suppose s = -v - v + a. Solve -v*f - f = 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from cjcjcccqcjcqqqqj?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/6*(-5 - (-259)\/91). Let a(p) be the second derivative of 2*p + 0 - 1\/12*p**4 - 98*p**2 + z*p**3. Factor a(x).\nAnswer: -(x - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21847, 22099, 22519, 23107, 23863?\n\"Answer: 84*q**2 + 21763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*c**4 - c**3 + 44*c**4 + 4*c**4 + 2*c**2 - 52*c**4 + 2*c to d*c**2 + t + h*c**4 + u*c + v*c**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5622)\/8)\/(699\/(-465068)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78721 + 3.\nAnswer: -78718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19639 * -0.2\nAnswer: 3927.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 - 21*v**3 - 4*v**3 - 8*v**3.\nAnswer: -41*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 - 4) + 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 6*z - 7. Let w(s) = 5*s**2 - 2 + s - 3 + 0*s**2 - 4*s**2. Let i(p) = p**2 - 2*p. Let h be i(2). Let k be w(h). What is v(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**4 + 4*u**2 - 4*u - 8. Let z(s) = -s**4 + s**2 - s. Let p be (-1)\/(-4 + (-15)\/(-3)). Let n(c) = p*q(c) + 4*z(c). Differentiate n(i) wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10)**37\/(n*n**(-2\/5)*n**(-4)) assuming n is positive.\nAnswer: n**(1867\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:43 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -187792 times 10\nAnswer: -1877920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 1174\/21. Let v = s - -67\/42. Let k be 5\/1*5\/(-5). Which is the smallest value? (a) -4\/3 (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 387 + -398. Let b(k) = -k**3 - 10*k**2 + 12*k + 7. What is b(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 10:44 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408110 is divided by 160.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19075, 19123, 19213, 19351, 19543?\nAnswer: 19795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 210 - 54 = 0. Let g = z + -43. Let c(y) = 2*y**2 + 2*y - 5. Let i(r) = -3*r**2 - 3*r + 6. Give g*i(x) - 5*c(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 + 90. Let l = g + 42.999993. What is l rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 559866090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 5 - 4)*(l + l + 4*l) + (2*l + l - l)*(0 - 1 + 2))*(l - 4*l + 0*l).\nAnswer: -42*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/54 and 79\/270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*x**2 - 8*x + 8*x.\nAnswer: 91*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.72952 millennia to decades.\nAnswer: 8472.952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112 + -10120222121?\nAnswer: -10120201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3560 a factor of 5793166640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-2 - 2) - -8. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**2*x*z + 381*p**2*z**2 + 1052*p**2*z - p*x*z**2 + 172*p*x*z + 288*p*z**2 + 2*p + 5*z**2 wrt z.\nAnswer: 762*p**2 - 2*p*x + 576*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9086, 18128, 27136, 36104, 45026, 53896, 62708?\nAnswer: 71456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 56*q**3 + 67*q**2 + 212*q + 166. Calculate o(-2).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-2))\/((-14)\/14). Let a(b) = r*b - b + b - b. Let o(h) = -11*h. Give o(a(j)).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112524307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520064?\nAnswer: 2, 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 4. Let g(s) = -s**2 - 6*s + 4. Let n be g(-6). Suppose 0 = -2*x + 4*q - 20, 0*q + q + 13 = -n*x. Determine r(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2074 + -1639. Calculate the remainder when q is divided by 93.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/8 of a litre in millilitres?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 598480057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.55 - -5.55. Let n = 1.7 - 0.3. Let r = 0.6 + n. Which is the smallest value? (a) -5 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 9\/175*r**7 - 6*r**2 + 0*r**3 + 0*r + 0 + 13\/600*r**6 - 1\/60*r**4 - 1\/30*r**8 - 3\/100*r**5. Let b(v) = 0. Calculate v.\nAnswer: -2\/7, -1\/4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 - 499\/8. Let u be (-1 - 0)*(47 - 52). What is the closest to 1 in x, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.4 (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 817 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 470*l - 1712. What are the prime factors of n(13)?\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 1063*k - 977*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -483. Suppose 5*y - o - 14 = 0, 0 = 5*y + 4*o - 15 - 4. Suppose 2*j = -y*j + a. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxch when four letters picked without replacement from ncwwznchzzxnc.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*u**3 + d**3*u**2 - 6*d**3 + 24*d*u**6 + 18*d + 2*u**4 - 10*u**2 wrt u.\nAnswer: -12*d**3 + 2880*d*u**3 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*y - 1363*y - 886*y as i*y + t and give i.\nAnswer: -2159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(36) + sqrt(324) + sqrt(36)))\/(-2*sqrt(108) + sqrt(108)) + (sqrt(27) + 4 - (3 + sqrt(3)*5)))**2 + -1.\nAnswer: 28*sqrt(3)\/3 + 196\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1475378 and 502.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11009024, 11008991, 11008958, 11008925, 11008892?\n\"Answer: -33*w + 11009057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -533 + -35?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i**2 + 3. Let m(r) be the third derivative of r**5\/60 - 10*r**2 - r. What is k(m(x))?\nAnswer: 16*x**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from yafmdxyxfymy?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -8. Let q = -54 + 207. What is the greatest common divisor of b and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = 0, 2*d + 2*d - 3*z + 1 = 0. What is the third derivative of -21*m**d + 57*m**3 - 24*m**3 - 16*m**2 wrt m?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(40\/(-15)) - (-178)\/(-58). Sort w, -0.1, 1\/11, -0.4, -2 in increasing order.\nAnswer: -2, -0.4, -0.1, w, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 10*o**2 - 3*o + 7. List the prime factors of n(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 1, m: 14}. Give prob of sequence bbem.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 659 + 173 = 9*c - 290 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10394010 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: Simplify 1 + (sqrt(76)\/sqrt(4))**2*1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - t = 13, 2*q + 2 = 4*q + 4*t. Suppose -q*c - 84 = -3*u, 2*u - u - 34 = -c. Let d = 394 - 146. Calculate the highest common divisor of u and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:30 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:50 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -6. Find the second derivative of -3*i - 3*i**2 + 2*i + a*i wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2 - 13\/65.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 226*j**3 + j**2 + 48*j + 294789 with respect to j.\nAnswer: 678*j**2 + 2*j + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13 - 18\/(0 - -2). Suppose 36*g - w*g - 160 = 0. Let h(c) = 4*c**3 - 3*c**2 + 5*c - 6. Let t(j) = 5*j**3 - 4*j**2 + 6*j - 7. What is g*t(n) - 6*h(n)?\nAnswer: n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66726 is divided by 642.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 6. Suppose f - 30 = -4*f. Suppose -5*r - 4 = -7*r. Solve -3*d + 8 = r*z, f*z - s*z - 11 = -4*d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*i - 3891 = 321*i + 9707 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*(-2)\/(-2))\/(-5). Let o = 13 - 7. Let s = o - 9. Which is the closest to j? (a) s (b) -1\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.99178 rounded to one dp?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 25 = -5*a - 0*b, 0 = 5*a + 4*b + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s + 3*s - 4*s - 204*s**2 + 205*s**2. Let n be u(1). Solve 2*v - n*v - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.2 - 48.2. Let t = 13 + q. Let y = -29 - t. Which is the second smallest value? (a) 4 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3 + 29 = 3*t, 0 = 5*t - h - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, -2, 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22349025 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48911 and 121717?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -8630, -0.4, 9?\nAnswer: -8630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 53*i - 11. Let u be d(2). Let c(g) = u + 3*g - g + 31. Is 18 a factor of c(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/13 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from hnnnhhhhnnnnhnnhnhh?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7401 - -177697\/24. Find the common denominator of -33\/64 and x.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2163429461 is divided by 4718.\nAnswer: 4715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*d - 4, -d + 6 = d. Let j(t) be the third derivative of 0 - 2*t**2 + 0*t + 1\/6*t**3 + 1\/60*t**l + 1\/12*t**4. Find s such that j(s) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769986 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 7*x - 1 = -y, -3*y - 5*x = -31. Solve -y*t + 1 = 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*m + 14, -3*m + 2 + 5 = 5*f. Solve -24 = -m*h - k, 0 = -k + 4 - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 1527562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*y**4 - 84*y**3 - 496*y**2.\nAnswer: -96*y - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b9953 (base 15) in base 14?\nAnswer: 27173a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 517766, -5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {m: 2, h: 10, s: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749179435 to the power of 1\/2, to the nearest integer?\nAnswer: 41823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 25. Let a be 6\/(-10) - t\/5. Suppose -6 = a*u + 4. Sort 5, -3, u.\nAnswer: u, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2386*q + 45343. Calculate b(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2305\/15471 or -1?\nAnswer: -2305\/15471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/(-5) - 33\/(-55). Let m(w) = 7*w**2 + w**3 - 144 + 291 - 146 + 5*w - 4*w + w. Determine m(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*239312\nAnswer: -16751.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -5*sqrt(1323) - (5 + sqrt(1323) + -5))*2)**2.\nAnswer: -1008*sqrt(3) + 190516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -r - 3*r. Suppose 162 - 250 - 558 = -34*g. What is the least common multiple of g and r?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -2, 14, -130, 9, -4 in ascending order.\nAnswer: -130, -4, -2, -1, 2, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 6. Let h(p) be the third derivative of 0 - 7\/6*p**3 + 1\/8*p**4 - 5*p**2 + 0*p. Let s be h(0). Determine i(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -10\/9 (c) -171\/16 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -155*j**3 + 4*j - 7. Let r(s) = -154*s**3 + 3*s - 6. Give 6*n(g) - 7*r(g).\nAnswer: 148*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:52 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 7*f**2 + f + 10. Let k be i(6). Let n = k + 19. Let p be 4 - 6 - (-3 - n). Solve 4*r + r - 10 = p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11839*(-26)\/39 + -10)\/((-4)\/18). Round g to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17896106529391*i**3 + 17896106529369*i**3 + 4*i**2 - 4*i**2.\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or -206?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1363, -1355, -1347, -1339, -1331, -1323?\n\"Answer: 8*q - 1371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 2*c - 2727 = 5*h, -4*c + 4*h = -5448. Suppose 241 = -8*o + c. Is o a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 9:38 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.380359km to meters.\nAnswer: 380.359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o**3 - o - 1. Let l = 11 + -12. Let h be i(l). Let m = -10 + h. Let y(g) = g + 1. Give y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 416 or 171692?\nAnswer: 416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 - 1 - -6 - 3. Let z(g) = -g**2 - 5*g. Let o(a) = -2*a. Suppose -2*f + 5*f = 36. Suppose f*l - 8 = 8*l. Give l*z(n) + m*o(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 13) to base 9.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27154087.\nAnswer: 3793, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -2. Let l = z - -2.98. Let w = 0.020026 + l. Round w to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.3, -3, -4\/9, -2\/9, 45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 23*b + 145. Let v be p(43). Let o = v - 729. Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128448814 is divided by 64224401?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 8*s**2 + 46217*s - 1722. Determine n(211).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 6*i**2 + i - 2. What is the lowest common multiple of y(6) and 1 + (-20)\/4 + 15?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**3 - 85*k - 5*k**3 + 5 + 17*k**2 + 54*k - 2*k**3 + 10.\nAnswer: -(k - 15)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 10 (b) -6\/11 (c) 19097 (d) 0.4 (e) -5 (f) -0.05 (g) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + sqrt(189)\/sqrt(7) + -3)*2.\nAnswer: -18 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1238 + 1243.13. Let p = n + -0.13. What is the nearest to 0 in 2, p, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(153) + 0 - (sqrt(833) + 3)**2.\nAnswer: -842 - 38*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*h**3 + 6*h - 6*h.\nAnswer: -51*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34075 is divided by 307?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - sqrt(88)*1)*4)\/(sqrt(8) + (sqrt(8) - (sqrt(8) + -2*(sqrt(24)\/sqrt(3) + sqrt(8))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.3. Let x = 1 + 0. Let d = 11 + -9. What is the closest to u in d, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -1.3. Let r = -3 + 5. Suppose 5*h - 20 = 0, 7*h = r*y + 3*h + 24. Which is the nearest to 0.1? (a) 0.2 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3962\/55507 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 less than -1210265?\nAnswer: -1210276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/((45560\/17850)\/(-134))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -127, -269, -467, -721?\n\"Answer: -28*t**2 - 2*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/20*(-7344)\/10710\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1424130.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -13*f + 552. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/439531 + 396145\/9534745983. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 6 (c) 648\/17 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttftfftftftt.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*h - 48. What is the remainder when 31 is divided by (-40)\/(-6)*h\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142655208 rounded to three decimal places?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -12. Suppose 2*x = -3*x + 5*j + 10, n = 3*x - 5*j. Solve -x*q = -3*a - 26, 3*a + 3*q - 2 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/11, -13447 in decreasing order.\nAnswer: -1\/11, -1, -13447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.68 equal to -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86656486?\nAnswer: 2, 7, 59, 104911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-25))**(-1\/3))**(3\/20) assuming g is positive.\nAnswer: g**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 4*u + 3*f - 365, 3*f = -u + 217. Let c = -203 + u. Solve r + 21 = 2*r + c*p, 37 = -3*r + 5*p for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7928, -9912, -11680, -13124, -14136?\n\"Answer: 18*m**3 - 2110*m - 5836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73829815769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3222964329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3350 * -9.43\nAnswer: -31590.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-21 - -8) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11244374 divided by 119621.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/10796016 and -75\/9856?\nAnswer: 86368128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -11221212022201?\nAnswer: -11221212022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-121 - -125)\/((-2)\/3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = -3*u - 2, -3*r - u - 13 = 0. What is the closest to 2 in r, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7833930*x + 2. Let t(b) = 10*b. Calculate t(v(p)).\nAnswer: 78339300*p + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 2 + 1 - d + 12324*d**3 + 31224*d**3. Let h be y(4). Let l = h + -1487119. What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15925)\/(-147) - 96) + (-4)\/3 - (-554)\/(-50)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 14 = 2. Let q = n - -6. Suppose 5*p - 15 = 0, -q*m = m - 4*p - 30. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 - 4*g. Let c(v) = -2*v**2 - 4*v + 3. Let k(s) = 4*s**2 + 8*s - 5. Let i(d) = 10*c(d) + 6*k(d). Let h(m) = 7*a(m) + 3*i(m). Factor h(r).\nAnswer: -2*r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-8 + 14)) + (1 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3)**(-2)\/(d\/((d\/(d\/d**(-40))*d*d)\/d*d))**(-28) assuming d is positive.\nAnswer: d**1086","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6674909?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.770746 to two dps.\nAnswer: -27.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -1a9?\nAnswer: 1ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 7477448*w + 3494514287044.\nAnswer: 4*(w + 934681)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 10*y**2 + y + 11. Suppose 2*m = 4*v + 20, 4*m - 2*v + 180 = 196. Let h(n) = 2*n**2 + 2. Let j = -19 + 8. Give j*h(q) + m*z(q).\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1. Let i = 4 + -7. Let d(j) = j**2 - 7*j + 11. Let q be d(5). Let f(t) = -t + 3. Let a(c) = i*s(c) + q*f(c). Let w(y) = -2*y. Give w(a(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 772*d**4 + 120*d.\nAnswer: 9264*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 56481.89 meters?\nAnswer: 56.48189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 2*q - 4, -5*h + 2*q + 46 - 39 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 846 + -853. Calculate the common denominator of 53\/3 and (6 - (c - -46))*20\/108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*u - 3*g, -16 + 0 = 4*u - 5*g. What is the fourth biggest value in 2\/11, u, 3\/8, 10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 - 2. Let p(x) = -3*x - 1. What is the lowest common multiple of p(-3) and j(-3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41333008*d**2 - 58169101*d wrt d.\nAnswer: -82666016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719938 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66980 + -66622.09. Let g = 353 - -7. Let t = k - g. What is t rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -11206 (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45035*c**5 + 45*c**3 - 736257872*c.\nAnswer: 900700*c**3 + 270*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times -22.4\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 745 and 565?\nAnswer: 84185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.034693987 - -731854.\nAnswer: 731855.034693987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 54*g + 595. Let p be r(-11). What is the nearest to p in -1, -0.5, 17, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 13*v**3 - 5*v**2 + 25*v - 10. Let x(r) = 84*r**3 - 32*r**2 + 160*r - 64. What is -32*t(d) + 5*x(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28105 is divided by 2299?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.11 - 0.11. Let u = -20531\/30 + 685. Let f = u - 4\/5. Which is the second smallest value? (a) t (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1504.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 545721 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/11 (b) 2\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 861 and 5412?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 7) to base 14\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.439, 1, -1.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2244229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -71672 (base 8) in base 16?\nAnswer: -73ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 4137, -14 in increasing order.\nAnswer: -14, 3\/4, 4137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b + 360. Let t = -739 - -689. Let o = b - t. Which is bigger: o or -23?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8928 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x**5 + 13*x**2 - 6*x - 6. Let d(h) = -14*h**5 - 12*h**2 + 5*h + 5. Let c(f) = -6*d(f) - 5*v(f). Find the third derivative of c(s) wrt s.\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(190)\/(sqrt(5) - sqrt(10)\/sqrt(2) - sqrt(5)))\/(5*sqrt(2)*-2) + -3.\nAnswer: -3 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16170, -16220, -16304, -16422, -16574, -16760?\n\"Answer: -17*p**2 + p - 16154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 1643*f**5\/5 - f**3\/3 - 131*f**2 - 2555. What is the third derivative of y(h) wrt h?\nAnswer: 39432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 0)*(2*y - 28 + 26 - 3*y) to s*y + t and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(432)*-2)**2 + sqrt(432) - (1*sqrt(432) + -2).\nAnswer: -144*sqrt(3) + 1739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, z: 4, d: 1, f: 4, n: 1}. What is prob of sequence ff?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12284577 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3394083?\nAnswer: 3, 7, 11, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 - 266*p + 775. What is the remainder when y(-86) is divided by 78?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8656269203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1671 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 9 - 5 - (-3 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24 - -29)*(-7)\/(-5). Let z(f) = -f**3 - 6*f**2 + 7*f + 4. Let w be z(-7). Solve -w*m + 19 = i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.51244 to one decimal place.\nAnswer: 21.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 22907 = f, 73*f + 2*a + 68736 = 76*f. Calculate the greatest common divisor of 158 and f.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 10 - 25. Suppose 0 = -3*o - 2*l + 28, 5*o - 62 = -j*l - 17. Calculate the remainder when (-1 - 0\/2) + 12 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/3)*i)\/i)**(-2))**(-33)\/((i**(2\/5))**(1\/34)*(i*i**3)\/((i**(2\/9)\/i)\/i)) assuming i is positive.\nAnswer: i**(29231\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(sqrt(15) + 1*sqrt(15)))\/sqrt(3) + 1*(sqrt(500)\/(sqrt(10)*2 + sqrt(10)))\/sqrt(10).\nAnswer: 7*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 31*s**5\/4 + 17*s**3\/3 - s**2\/2 - 90*s - 3. What is the second derivative of d(y) wrt y?\nAnswer: 930*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6547*k = 1874*k - 779*k + 582884 - 132006 for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3141*r**2 + 2541*r**2 + 4023*r**2 + 2933*r**2.\nAnswer: 12638*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*s + 2112911 = 29*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*a + 3*a - 178*a + 256*a.\nAnswer: 456*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = 5 + 43 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 1, i: 1, p: 1, t: 1, c: 2}. Give prob of sequence qtpi.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 - 3*y - 9. What is the units digit of z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**3 + 14*i**2 - 63*i + 242. Is g(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -1\/7 (c) -61 (d) 2\/17 (e) -3\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 14. Let m = -6.7 + b. What is the closest to 3 in 4, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -2 - 1\/3*x**3 + 0*x**2 + 0*x + 0*x**4 + 2\/5*x**5. Find the third derivative of d(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1389 = -k, 50*k + 4134 = 53*k + 8*a. Calculate the greatest common divisor of k and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 3.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 36231390 rounded to the nearest 10000?\nAnswer: 36230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -155*b + 2. Let a(x) = -78*x + 1. Let o(t) = 9*a(t) - 4*p(t). Is o(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 2*x + 3. Let i be k(5). Let s be (736\/i)\/(6\/(-9)). Suppose 2*z = 4*z - s. Calculate the greatest common factor of z and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2) + (sqrt(2) - (sqrt(2) + -5*sqrt(8))) + sqrt(2) + sqrt(32) + -5 + -1 + sqrt(50) + 0)*2)**2.\nAnswer: -1008*sqrt(2) + 3677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d + 6. Suppose d*i = 10*i - 35. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*a**4 - 324\/7*a + 162\/7*a**2 - 36\/7*a**3 + 243\/7.\nAnswer: 3*(a - 3)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -18*h - 28 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352081, -352083, -352081, -352075, -352065, -352051, -352033?\nAnswer: -352011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3149 + 3148. Sort 77, d, 14 in increasing order.\nAnswer: d, 14, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/26 - -1) + (-1327093)\/247. What is the tens digit of o\/(-15) + (-1)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 4:41 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 3 (b) -192 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/15*1\/(-2). Let p = g - 14\/15. Is -3\/2 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by (3\/2)\/((-2535)\/286 + 9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 911\/7 - 130. What is the second smallest value in z, 17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 (base 13) in base 9?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4735.\nAnswer: 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 - ((-8 - -1) + (16 - -9))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-63)\/18).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 415, -3, -14 in increasing order.\nAnswer: -14, -3, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-2*i + 0 + 0) + i + 3 - 3 - 3*i + i + i + 1530*i - 10 - 3070*i + 1532*i as s + n*i and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8317, 33259, 74829, 133027, 207853, 299307, 407389?\n\"Answer: 8314*s**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 938779?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -939, -937, -935, -933?\n\"Answer: 2*y - 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*u**2 - 19*u**2 - 2*u**2 - u**2 + 12 - 9*u.\nAnswer: -3*(2*u - 1)*(5*u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(864)*-6 - sqrt(864))\/(4*sqrt(24)\/(-1*sqrt(8))) + -3.\nAnswer: -8 + 39*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2280*r**2 + 12*r + 1. Let l(f) = -3*f. What is h(l(v))?\nAnswer: 20520*v**2 - 36*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2003 + 11.7997. Which is the closest to j? (a) 4 (b) 2\/7 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 7 + 2*z - 3*z)*(2 + 3*z**2 - 2).\nAnswer: 3*z**3 + 21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*s + 7*s**2 - 84*s)*(-14 + 14 + 8*s).\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1252137 is divided by 1252027?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 6 + -3 + 5. Suppose 4*c - k = 0, 5*j - 3*c - 62 = c. Solve 0 = d - 0*d + 3*m + j, -3*d + 23 = -4*m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*f**3 - 54*f**3 + 105*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 1, 0.1, 2.04, 5?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -342+-13.0674\nAnswer: -355.0674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4532551.3203 and 0?\nAnswer: 4532551.3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -4*a - 0*a + 4, -4 = a - 3*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 15) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*x - 0*x. Put x, -7, -5 in decreasing order.\nAnswer: x, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.1 (b) -1\/3 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102 + 348304?\nAnswer: 348406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.5 + -3. Let f = 1\/40 - -9\/40. Sort -2\/11, f, -2, k in descending order.\nAnswer: k, f, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/((-30)\/85) - 4)*3. Solve 0*p + v + n = 4*p, -2*v - 10 = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2361*h**5 - h**2 + 6271*h - 2?\nAnswer: -141660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**2\/5 - 5919592*m\/5 - 5919593\/5 = 0?\nAnswer: -1, 5919593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*k + 537395 = -565889. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1358 * 17.\nAnswer: 23086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 116788367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 10*n**2 - n - 11. What is the remainder when k(-8) is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -252, -1095, -3366, -7779, -15048, -25887, -41010?\n\"Answer: -119*c**3 - 10*c - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - y. Let l(s) = -4*s + 23. Let a be l(6). Let i(o) = o**3 - o - 1. What is a*i(z) + 2*r(z)?\nAnswer: -3*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*j**3 + j + 953 - 953 - 2*j**2 as u*j**2 + d*j**3 + z*j + q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + ((sqrt(5) - sqrt(25)\/sqrt(5)) + sqrt(5))*-4 - (-2*sqrt(180))**2) + -4.\nAnswer: -724 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 474241 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**4\/12 - z**3\/2 - z**2 + z. Let q be ((-10)\/6)\/(4\/(-12)). Determine c(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441783 divided by 2?\nAnswer: 3441783\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55535\/4488 - 1\/1122. What is the common denominator of ((-30)\/28 - -2) + 3 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 71 - (6 - (-78)\/(-12))*2. Calculate the greatest common divisor of m and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-230 - -262) + (2 - (16 + 8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three halves of a decade?\nAnswer: 2580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -84.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4767 and -0.18?\nAnswer: 858.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 323.94 - 1.94. Let o = j - 322. Put 1, o, -0.3, -8 in increasing order.\nAnswer: -8, -0.3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 380436*s + 2282544.\nAnswer: 2*(s + 6)*(s + 190212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24663.51929 - -24664. Let n = 0.48 - f. What is n rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqdrrnqrrnqdrrn. Give prob of sequence qrqd.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + q)*(-17 - 51 + 13)*(-q + 3 - 2*q**2 + q).\nAnswer: 110*q**3 - 165*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -268.82 + -2.18. Let l = j + 287. What is the second smallest value in l, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 26498*u**2. Let z(c) = 2423*c - 2. Calculate z(w(q)).\nAnswer: 64204654*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 846310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 - -79. Solve -4*m + 21 = t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*u - 44, 3*q = -6*u + 7*u - 43. Let v be -4 - (28\/21 + q\/(-6)). Let a(g) = -g**2 - 9*g - 5. What is a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414212 is divided by 2526?\nAnswer: 2474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111965 or 112058?\nAnswer: 111965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + y**2 + y**2 + (0*y + 0*y - 2*y)*(3*y + 0 + 0) + (y + 0*y + y)*(2*y + 2 - 2))*(25*y - 88*y + 40*y).\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7129 - 4776431\/670. Is f < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-30)*(-6)\/5 + -2 + 1. Is f >= -0.0797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14026 - -64227. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - (-17 + -50 + 79).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g. Give k(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8 + -5 + 2 - 8\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 9*s - 7. Let h be y(-9). Let i = 18 + h. Let p = 26 - i. What is the remainder when p is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r. Let l be (325\/35 - 4) + -5. Which is the closest to l? (a) 5 (b) 0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.55, 0.33, -5 in increasing order.\nAnswer: -5, 0.33, 0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(-84))\/(48\/(-32)))\/(((-20)\/1)\/80)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18197, 17859, 17521?\n\"Answer: -338*m + 18535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 2*k**2 + 6*k + 14. Let x be v(-4). Solve 2*c + x = -4*h, -16 = h + 4*c - 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 33 = 4*j, 0 = 3*v - 3*j + 500 - 479 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**4 + z**3 - 151123*z**2 + 5962*z - 200 wrt z.\nAnswer: -24*z**2 + 6*z - 302246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1, -22, -0.5, -10\/7, -3?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4772741929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.8136+3\nAnswer: 2.1864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138176118 divided by 81.\nAnswer: -1705878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -414 - -413. Let t be 55\/22*(9 - g). Solve -8*m + t = -7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38960 times -28\nAnswer: -1090880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(429))\/sqrt(11))\/((sqrt(3) - 3*sqrt(48)) + sqrt(3)).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/9893698?\nAnswer: 3\/9893698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*-15*(-140)\/(-210)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-21))\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 55*s**8\/336 + 56*s**4 + 1257*s**2. What is the second derivative of c(k) wrt k?\nAnswer: 1100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -413129, -413139, -413149, -413159, -413169, -413179?\n\"Answer: -10*w - 413119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*-5*(sqrt(2299) - (3 + sqrt(2299))*2))**2.\nAnswer: 26400*sqrt(19) + 467000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 + 3*t**3 - t - 6*t**3 - 2*t.\nAnswer: 4*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 32281158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11))**17*(z*z*z*z**(-3\/2)*z)**(-19) assuming z is positive.\nAnswer: z**(-977\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - d - 2. Suppose 3*t + 7*t = -60. Does 10 divide b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -286\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 3211*r - 6418.\nAnswer: -(r + 2)*(r + 3209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(340) - (sqrt(340) - -1*sqrt(340)))\/sqrt(10))\/(sqrt(18)*-6).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 828 and 157748076.\nAnswer: 157748076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - u**3 + 0 + (-3 + 3 - 4*u**2)*(-8*u + 1 + 6*u + 0*u).\nAnswer: 7*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -69?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*x = -572403, 5*l - 44*x + 48*x = 2861919. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -137 and -8.\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 89 - 22257.\nAnswer: -22168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 0 - 7*j + 0 + 3*j. Let t(h) = -5 + 5 + h. Give p(t(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 0.5. Let w = 0.83699 - 0.63699. Put -3, w, j in decreasing order.\nAnswer: w, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*c - 1, 3 = -2*u + 3*c for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 3 + (9 + 2 + 0)*(4 - 2 + 1)*(2 - 5 + 2))*(12*c + 2*c - 147*c) in the form g + b*c and give b.\nAnswer: 4123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9882 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: Round -0.01231 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3738000 to the nearest one hundred thousand.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 + 210 + 21*p + 90.\nAnswer: 21*p + 419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 176008*v**2 + 8*v + 9. Let y be k(-10). Let o = 35300729 - y. Round o to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2261 - 4*q - 2266 + 14*q**2 - q**3 - 8*q. What is the units digit of h(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360145 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5243 + -1?\nAnswer: 5242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-29190)\/(-5560) - 6*(-4)\/(-6). Factor -1\/4*h**2 - 1 + n*h.\nAnswer: -(h - 4)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 232*j + 8357. Let a be m(-36). Solve n - 3*y + 34 = -4*n, 19 = -a*n - 2*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7*z**(2\/23))**30 assuming z is positive.\nAnswer: z**(4890\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/63 and -67\/2942982.\nAnswer: 2942982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61859 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/132 and -29\/96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*o - 285*o - 332133 = -1785783. What are the prime factors of o?\nAnswer: 2, 3, 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907545 (base 11) to base 8.\nAnswer: 5442346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*m = -125*m - 260 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (408\/36)\/((-10)\/(-2865))?\nAnswer: 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 718892, 2875274, 6469242, 11500796?\n\"Answer: 718793*p**2 + 3*p + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197 + 38 = -30*a + 85 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626229 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2*l = -0*l - 4, -3*x + l - 24 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -12, -3, 3, -5.\nAnswer: -27, -12, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) 0 (c) 2 (d) 14\/15 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8226 rounded to 2 decimal places?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 19, e: 1}. Give prob of picking 1 e and 3 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6202*p = 6172*p + 2820. Which is smaller: 286\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:43 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 166109, -2\/5, -0.64?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from {l: 1, e: 1, d: 1, z: 3, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 15. What is d(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, v: 2, n: 2, z: 4, m: 1}. What is prob of sequence zm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989761.\nAnswer: 73, 97, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 10:28 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8747 is divided by 242?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 512\/23?\nAnswer: 512\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - f + 10*f - 4*f - f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 31*m**2 - 32*m - 58. Let y be t(-30). Let r be 2\/(2\/(-4) + 1). What is the derivative of -7*z**y + 7*z**2 - 9*z**r + 8 + z**4 wrt z?\nAnswer: -32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535145077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*a + 20, 5*a + 5 = 2*o - 3*o. Factor 0*j**2 + j**4 - 1\/2*j**3 + a - 1\/2*j**5 + 0*j.\nAnswer: -j**3*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**4 + 672323*m**2 - 12012393*m.\nAnswer: -108*m**2 + 1344646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 5. Determine n(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzd. Give prob of sequence dd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3277967 + -26.\nAnswer: 3277941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453559 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 6e8?\nAnswer: -6e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 66 - 6*g + 148 + 145 - 86.\nAnswer: -6*g + 363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 4. Suppose 3*r + 12 = 7*r. Is 7 a factor of f(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {e: 4, n: 2, v: 5, m: 1, g: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475\/(-5225) + 699062\/11.\nAnswer: 103, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(20) - sqrt(5)) + (sqrt(33) - sqrt(33)*2)\/sqrt(3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-64)\/56)\/((-4)\/14). Suppose -4*v = q + 4*q - 45, -2*v + 42 = -4*q. Solve b = -g, v = -4*d + 9*d - 5*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:02 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + 2)*(-29 + 29 - 9*s) - 4*s**2 + 4*s**2 - 2*s**2 + 2*s**2 + 3*s**2 - 6*s**2.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25b3 (base 15) in base 13?\nAnswer: -3879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o. Let y(h) be the first derivative of -1\/2*h**2 + 0*h + 2. Give n(y(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**5 + 84*k**3 - k + 24. Let l(c) = 2*c**3 + 2. Let b(y) = -2*l(y) + r(y). Find the second derivative of b(o) wrt o.\nAnswer: 20*o**3 + 480*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, a: 3, d: 2, b: 5, e: 2}. Give prob of sequence baed.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/((-30)\/(-9))*284\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691905518 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10841 (base 9) to base 14.\nAnswer: -28d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i + 6. Let o(s) = -s**2 + s + 6. Let l be o(0). Let w(a) = 3. Let u(b) = -1. Let p(q) = -4*u(q) - w(q). Calculate l*p(g) - h(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162 + 479. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 14*l**2 - 13*l + 1. Let m be p(13). Let h be 4*m\/2 - 17. Let x = h + 19. Solve 0 = x*n - 4*c + 4, n - 2*c + 17 = 3*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -3, -1, 2\/13, -0.5, 137?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2174 and 709.\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -809229*0.3\nAnswer: -242768.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**15*q**18*(q*q*q\/q**(-9))\/(q**(-18)*q*q))**(2\/9) assuming q is positive.\nAnswer: q**(122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 - 2*f + 2. Let p be v(0). Determine h, given that 21\/5*h**p + 16\/5*h + 9\/5*h**3 + 4\/5 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7867, -31433, -70717, -125725, -196463, -282937, -385153, -503117?\n\"Answer: -k**3 - 7853*k**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423, -1747, -3959, -7053, -11023, -15863, -21567, -28129?\nAnswer: -35543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2227 - 5*w + 5*w + w - 2228 - w + 85*w**2.\nAnswer: 85*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.1 (b) 4 (c) 115 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**3*l - 97074*g**3 + 1506*g**2*l**2 wrt l?\nAnswer: g**3 + 3012*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/21)\/(r*(r*r**(-2\/23))\/r))**(-24\/7)*r**4*r\/r**8*(r\/r**(-1)*r*r)\/(r*r**(-8)\/r) assuming r is positive.\nAnswer: r**(14039\/1127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 - (10 + -22 + 12 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22.42 - -760826\nAnswer: 760848.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 874.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 2*c**2 - 3*c**2 + (9 - 9 + 5*c)*(0 - 1 - 4)*(-c + c + c) as v + h*c + l*c**2 and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 281 divide 19632310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - h = -3, 7*h + 7 = 3*s + 5*h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 151\/(-2) - (-5)\/(160\/16). Sort h, -4, 36 in descending order.\nAnswer: 36, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 1:22 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413607?\nAnswer: 3, 137869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56 + -2 - -12)\/(18 - (5 - -14))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 24 + 8. Suppose -4*f = -4*a - 28, -3*f + b = -a - f. Which is smaller: -48\/7 or a?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1654 + -1647. Solve -4*s = -5*w - 10, 5*s - 14 = d*w + s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 27617936?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 0. Let w = k - -4. Let n = w + 22. What is the greatest common factor of 144 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542691 plus 4662236?\nAnswer: 3119545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q + 28*q = 8. Let k be (-4)\/14 - q*6\/(-7). Which is the third biggest value? (a) k (b) 0.5 (c) 3 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3136) + sqrt(3136)*1)\/(-3*sqrt(7)*1)*-6 - ((sqrt(42)\/((sqrt(6) + (-1*sqrt(6) - sqrt(6)))*-5))**2 + -4 + sqrt(63) + 0).\nAnswer: 93\/25 + 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*g, 57*q - 3*g = 60*q - 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + s**2 - s - 1. Let d(c) = 10*c**2 + 8*c + 4. Suppose 5*n - 2 = 2*o, -n - 7 = 3*o - 4. Let x(b) = o*d(b) + k(b). Is x(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258058150 by -5.\nAnswer: -51611630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87.51 + -79.8. Let y = -58.39 - i. Round y to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75966 is divided by 572?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2391*o - 466229. What is p(-195)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.3, -74, 62, 0.4, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 9 = r + 19*m, 5*r + 27 = -m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 4*q**2 + 4*q + 3. Let x be k(-2). Suppose 11*c - 3120 = x*c. Suppose -4*r + 306 = -r + 3*i, -4*r + 2*i = -c. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y. Let r(w) = w**2 - 172 + 172. What is r(o(v))?\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1003 + -981. Suppose 2*n - 4*v = -128 + 400, 644 = 5*n + 2*v. What is the remainder when n is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 54*x**2 + 63*x + 63. Is c(53) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-6)*(4 - 4). Which is the smallest value? (a) m (b) -0.05 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 = -4*v. Suppose 0 = r - v*r + 68. Suppose 34 + r = 2*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/3)*w\/(w*w**(-2\/13)*w*w))**(-3)\/(((w*w**(1\/3))\/w**1)\/(w**(-7)\/(w*(w*w\/(w*w**0*w*w*w))\/w))) assuming w is positive.\nAnswer: w**(164\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 910 = 21*q. Suppose 5*p - 4*j - 88 = -6*j, q = 4*p + 2*j. Let i(g) = 24*g**2 - 30*g**2 + p*g**2. Let x(t) = -2*t**2. Calculate i(x(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + n**2 - 4*n + 3. What is i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 25 = 2*z - 3*n, -3*z - n = 35. Let p be z\/55 + 57\/11. Suppose p*m - 65 = -2*d + 59, 5*m = -d + 52. What is the greatest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -9?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b + 5*b**2 - 3 - 2*b + 11*b**2 - 17*b**2. Let q be s(3). Solve -4*f + p - 8 = 8, q = 2*p + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 32*c**4\/3 + 1466*c**3\/3 - 1844*c**2\/3 - 2714*c\/3 + 188 = 0?\nAnswer: -47, -1, 3\/16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+99121684287457\nAnswer: 99121684287457.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850 is divided by 160?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 673, 26, 5, 1, -3 in descending order.\nAnswer: 673, 26, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 185411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 15*t**2 - 13*t + 18. Let w be p(-14). Let g(r) = 2*r + 9. Let s(l) = l + 8. Let u(z) = w*s(z) - 3*g(z). What is the derivative of u(k) wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0, 5, -5, 16, -7, 3 in decreasing order.\nAnswer: 16, 5, 3, 0, -5, -7, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 46 + 129. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259127?\nAnswer: 3, 31, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621206.\nAnswer: 2, 263, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/40)\/(836\/190).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(1\/12)*1665\/(-6660).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 2297, 5197, 9271, 14519, 20941, 28537?\nAnswer: 37307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/20 and 3\/1623956.\nAnswer: 8119780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1384, 1405, 1462, 1573, 1756, 2029, 2410?\n\"Answer: 3*h**3 + 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*j - j - 9 = 0, 0 = 3*v + 2*j - 6. Suppose v = 10*f - 7*f - 6. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/14)\/(2 + (-172)\/80). Let u be (12\/g)\/(36\/(-600)). Solve -4*t = -2*s + 22, -3*t + 3 = -2*s + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/12 + -2 - 0. Which is bigger: 3 or s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18592.1054 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 348 = 208*s - 1223, -5*i - s = -0*s - 6*s - 195 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let y(v) = -v**3 - 3*v**2 - 3*v - 1. Let c be y(m). Is (5 + -4)\/(c\/49) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*m + 130 = -4*o, -m + 135 = 2*o. Calculate the remainder when o is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by -36.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhu when three letters picked without replacement from huhhhu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -8*d**3 + 238058*d**2 + 3513012*d + 2500848 = 0.\nAnswer: -14, -3\/4, 29772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/7 (b) -12 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/60 - ((-12)\/15)\/(-2). Put 1, o, 3, 0.09 in ascending order.\nAnswer: o, 0.09, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -153096537, -153096539, -153096553, -153096585, -153096641, -153096727?\n\"Answer: -o**3 + 5*o - 153096541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002431 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ba (base 13) in base 9?\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**5\/2 + 9*u**4 + 90*u**3 + 204*u**2 + 144*u.\nAnswer: -3*u*(u - 12)*(u + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -897624, -1795260, -2692896, -3590532, -4488168, -5385804?\nAnswer: -6283440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*l - 1617, -2*j - 5*l + 9*l = -1080. Let b = j - 54. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1160987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*v + v = 1804048, -3*y + 2706093 = -v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 + 12\/(-18). Suppose m = 3*n - n. Suppose n = 2*w - 5*w + 99. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - -173?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419 + 32*c + 8*c + 419.\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 527833 and 217343?\nAnswer: 3694831","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - 28. Let y be x(7). Let u(f) = -5*f - y + 5 + 3*f. Let h be (-2 - -6)\/8 + (-9)\/2. Give u(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 3*r - 8 + 3*r + r to t + q*r and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1380*k**2 + 27. Let j(z) = -106*z**2 + 2. Calculate -54*j(y) + 4*p(y).\nAnswer: 204*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - (18 + -7 - 29)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21*14\/30 + 0 + (-4)\/(-20)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8675?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-362)\/(-3)*117\/52). Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11312395*w**4 + 2120769*w.\nAnswer: -135748740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2113356457 to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1053, 4207, 9463, 16821, 26281, 37843, 51507?\nAnswer: 67273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2 - 7777*b + 5714228 = 0. Calculate b.\nAnswer: -8453, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240*p**3*t**2*z - 8346*p**3*t**2 - 101*p**2*z - 5*p*t*z - 180*t**2*z wrt p?\nAnswer: -1440*t**2*z - 50076*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 - 33. Determine x(8).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swsgs. What is prob of picking 1 w and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 9)*(5 - 4 + 0)*(w**4 + 17*w**4 + 89*w**4).\nAnswer: 749*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from bgggbmbgbgggb?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -64. Suppose -s = q*s. Let m(x) = x**3 + 4*x**2 - 7*x - 5. Let z be m(-5). Solve 10 = -s*t + z*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 plus 5005.546?\nAnswer: 5005.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 24 = 3*j - j, y = 3. Is (-9826)\/j + (-28)\/42 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 387, 0, -60.\nAnswer: -60, 0, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 y, and 1 w when three letters picked without replacement from {d: 1, n: 2, w: 1, c: 1, y: 1, v: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 44. Is (-8)\/b + (-269)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2761415007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 425189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 46920.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 2\/25, 1\/29?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12180\/980 + 0 + -13. Which is the nearest to h? (a) -2\/19 (b) -19 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let v(f) be the first derivative of -9*f**2\/2 + 137. Let q(n) = n. Let t(p) = r*v(p) - 6*q(p). Let i(g) = -5*g. Give t(i(k)).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173*z + 171*z + 0 - 8*z**2 - 1 + 2 to the form h*z + y*z**2 + t and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19324175 a multiple of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y**2 - y)*(-1 + 4 - 4) + 3*y**2 - y**2 + 2*y**2 + (2 + 2 - 6)*(0*y**2 + y**2 + 0*y**2) - 7*y + 7*y - y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 16 = -4*d, -5*w + 2*d = -6 - 2. Let h(v) be the third derivative of -1\/8*v**4 + 16*v**2 + w*v**3 + 0*v + 0. Let t(x) = 9*x**2. Give h(t(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 34, 136, 380, 838, 1582, 2684?\n\"Answer: 12*b**3 - b**2 + 21*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 16) in base 10?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 12:34 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275)*4 + -5)**2 - 6*-1*sqrt(66)\/sqrt(6)) + 0)*-6.\nAnswer: -26550 + 1164*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 12 - 14)*(33 + 40 - 3)*(0 + 0 - 2*z)*(z**2 - 2 + 2) to the form c*z + b + v*z**3 + n*z**2 and give v.\nAnswer: 2380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 + 81*m - 74. Let i be o(26). Solve 0 = 8*h - i*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v**3 - 4*v**3 + 5*v**3)*(1 - 2 - 1) + v**3 - v**2 + v**2 - 1020220*v - 7009*v**3 + 1020220*v in the form f*v**3 + s + u*v + r*v**2 and give f.\nAnswer: -7004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 3 - x**2 + 2\/3*x**3 + 0*x. What is the second derivative of q(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1547254557?\nAnswer: 3, 171917173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + -2*sqrt(432) + sqrt(432)).\nAnswer: -72*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-12) + 358\/(-6). Let c = 59 + j. Solve -2*r - 2*g + 6 = c, 4*r + g + 0*g = 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 132 + -131.99. Which is the second smallest value? (a) -0.3 (b) -5\/2 (c) h (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178629888 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47449822 divided by 14.\nAnswer: -3389273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3135722?\nAnswer: 2, 19, 179, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-4)\/(-240)*5\/(-6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41881 and 868?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 14\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -39. Suppose -a = -11*z + 12. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72440520.\nAnswer: 2, 3, 5, 211, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + h + 5*m - 18, 0 = -3*h - 3*m + 18 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 1310*y**4 + 15*y**3 - 29*y**2\/2 + 2*y + 8948. What is the third derivative of w(i) wrt i?\nAnswer: 31440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.5986 - 0.5986. Sort 18, 3, i in decreasing order.\nAnswer: 18, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203\/4 + -51. Let y = -29 + 28.87. Let m = -0.87 + y. What is the second smallest value in m, h, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3055074, 6110150, 9165226, 12220302, 15275378, 18330454?\n\"Answer: 3055076*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Add together -114.1756 and -0.044.\nAnswer: -114.2196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 44\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 10\/14 + (-165279)\/(-7). Let i = 35895 - m. Suppose -2*h - 24516 = i. Round h to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16499a (base 15) to base 13\nAnswer: 2ba053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x - 4. Suppose 1 + 5 = 2*j. Let r be v(j). Let h = r + 26. What is the greatest common divisor of h and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.08, 1\/7, -1\/37, 0, 14?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 44 = -t - t, 2*t - 72 = -2*w. Suppose 5*q - 28 - 24 = -3*r, -2*r + 24 = 2*q. Calculate the greatest common factor of q and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -85?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**3 - d**2 - d - 1. Let l be v(-1). Suppose 0 = -4*b - l + 28. Let u = b + -11. What is the smallest value in -2\/9, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.441 - 0.341. Let t be (-1)\/(-4) - 276\/16. Is t at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 28. Let y be 3 - (24\/k + 4). Let i(h) = h**2 - 7*h + 12. Let o be i(y). Which is greater: o or 17\/6?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*s - 3*s. Let o(b) = -2*b**2 + 12*b**2 + 1 - s - 9*b**2 - 5*b. What is o(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20651, -42125, -63599?\nAnswer: -85073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from mjkzg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111010100101100001111 (base 2) to base 4.\nAnswer: 233110230033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0.043?\nAnswer: -0.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -347029.22 to the nearest 1000.\nAnswer: -347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 r, 1 d, and 1 b when four letters picked without replacement from vvvvbburdvubuuruu.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + sqrt(44)\/sqrt(4)*1)**2.\nAnswer: -2*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 2118, 7161, 16974, 33147?\nAnswer: 57270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 583093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 34768492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 63*l - 24 = -67*l, -5*j + 4*l = 40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 60*o**2 - 4*o + 125. Give d(30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 34 + 85*a - 25.\nAnswer: 85*a + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24726, -98871, -222444, -395445, -617874?\n\"Answer: -24714*l**2 - 3*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.1, 2, -0.4, 303362, -4, 1?\nAnswer: 303362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: -17373+12\nAnswer: -17361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 6 = 3*q - 5, 3*q + 7 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0460105um to kilometers.\nAnswer: 0.0000000000460105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -139, -117, -111, -127, -171, -249, -367, -531?\n\"Answer: -u**3 - 2*u**2 + 35*u - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/3 - -2) + 896\/392 + (-6)\/21.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -295*z**2 + 149*z**2 + 163*z**2. Let c(t) = -t**2 + 6*t - 3. Let s(k) = -k**2 + 10*k - 5. Let g(m) = 5*c(m) - 3*s(m). Give w(g(p)).\nAnswer: 68*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -17 - 233. Suppose -2*k = 3*k - d. Is k greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 23.4. Which is the biggest value? (a) -0.4 (b) w (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.484113 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 146b (base 16) to base 8\nAnswer: 12153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1137, -1135, -1131, -1125, -1117, -1107, -1095?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 9*n + 2. Suppose 0*q + 2*j = -2*q + 16, -2*q - 5*j + 13 = 0. Let m be a(q). Is (652\/(1 - -1))\/m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -428*h**3 + 68*h**2 + 20*h + 21061084.\nAnswer: -1284*h**2 + 136*h + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378605558?\nAnswer: 2, 189302779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (2\/1 + -1). Suppose b = 3*b - 204. Is 14 a factor of d\/(-18)*b\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2568 - -266. Is 3\/((48\/w)\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(16\/(-30))*2. Is (-9)\/(-2)*50\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 1. Let f(t) = t + 6. Let d be f(-8). Let o = -1 - d. Solve -y = s*r + o, 5*r - 2*y - 14 = y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a factor of 2444514720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 162, 249, 338, 429, 522, 617?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4)\/5*(0 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321787798 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 3)*(-11 - 7 + 9)*(5*j**4 + 4*j**4 - 3 - 4*j**4).\nAnswer: -45*j**4 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -110, -243, -430, -671, -966, -1315?\nAnswer: -1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m + 7 - 11*m - 16 in the form w*m + i and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13613 = -6*o - 4727. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 326206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/218547 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -102, -418, -922, -1620, -2518, -3622, -4938, -6472?\n\"Answer: -m**3 - 88*m**2 - 45*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9759 and 9?\nAnswer: 29277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 71*z**2 + 70*z + 2181. What is the thousands digit of s(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-423)\/752*1\/(-9). Let o(k) be the first derivative of 0*k**2 - 1\/6*k**3 - 2 + 1\/20*k**5 + 0*k - x*k**4. What is l in o(l) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10470 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: Suppose -3*t = 5*t - 24. Solve -5*a = -2*a + t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 c when four letters picked without replacement from {m: 7, c: 2}.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59923.\nAnswer: 31, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by -4\nAnswer: -157\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**7\/2520 - s**5\/120 + s**4\/4 + s. Let x(v) be the third derivative of q(v). Find the first derivative of x(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -22*p**2 - 4*p + 22. Let q(a) = -21*a**2 - 3*a + 21. Suppose 0 = 4*o - 3*o + 5. Let t(m) = o*q(m) + 4*s(m). Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l + 4. Let d(r) = 32*r**2 - 7*r - 12. Give d(x) + 3*j(x).\nAnswer: 29*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -72605 less than -76595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7830000 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s + 0*s - 4*s)*(1 - 1 + 2*s) + s**2 + 1 + 5*s**2 - 3 to the form m*s**2 + v*s + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:25 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yo when two letters picked without replacement from {o: 2, y: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1044286419 or 1?\nAnswer: -1\/1044286419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18985 divided by 3797\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 19*q**2 - 465*q + 5083. What is s(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(1\/6))*h**13*h\/h**11*h**(-5\/4) assuming h is positive.\nAnswer: h**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(190)*-1*-1*-3)\/((sqrt(120) - (1*(sqrt(120) + -2*sqrt(120) - sqrt(120) - sqrt(120)) + sqrt(120)))\/((-2*sqrt(108))\/sqrt(9))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6715363 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(22*27\/36)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1654.6257 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - l)*(-2 + 0 + 4 + 2 - 7 - 3 + (-4 + 0 + 2)*(-1 - 2 + 5)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -13. Suppose 2*q - 12 = -5*c, 0 = 4*q + n + 4. Suppose -c*z + 14 = 4*y - 14, -5*y = -5*z + 15. Solve 25 = z*p - 0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((56115\/(-58))\/43)\/((-2)\/((-8)\/(-5)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 5*k**2 + 26*k - 5. What is x(10)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 110?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2800)\/490 - -5)\/(15\/54)\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 8, x: 5, p: 4}. Give prob of picking 1 p and 2 k.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36152?\nAnswer: 2, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 114671.7849 rounded to the nearest 10?\nAnswer: 114670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {h: 3, z: 3, m: 6, y: 5}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19639366 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78327835 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + q, -4*n - q - 4 = -4*q. Let l be -3*(-2)\/(-18)*n. Let s = -0.7 + 1.2. Which is the nearest to l? (a) s (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 + 2*g + 26 - 24 - 3*g**2 + (-g**2 + 4*g**2 + 0*g**2)*(-3 + 1 + 0) - 2*g**2 + g**2 - g**2.\nAnswer: -16*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 8:37 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 36 = 12. Suppose -g = l - 28. List the prime factors of 1*l\/25*60.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.315 (c) 0.1 (d) 227 (e) -2 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96685 by 96685.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/(-21))\/(24\/(-12)))\/(5*(-35)\/126).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 705996?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-487)\/530 - -1) + (-112)\/80*(-3)\/(-42).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85873751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10153811.\nAnswer: 17, 139, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/15 and 27\/217850?\nAnswer: 653550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32426 = 164*n - 165*n - 5*x, 0 = -x - 2. What are the prime factors of n?\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1826. Let u(j) = 536*j. What is u(i(l))?\nAnswer: -536*l + 978736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a - a + 0*a - 4*a. Let i(s) = -10 + 0*s + 10 - 2*s. Give i(g(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**13*q**(-11)\/q assuming q is positive.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 4, 27 in descending order.\nAnswer: 27, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -775 + 832. Is 56 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(1216) - -1*sqrt(1216)) + sqrt(1216))*-6 + 3)**2 + 2*(sqrt(931) + -1 + 1 + sqrt(76))**2.\nAnswer: -864*sqrt(19) + 397069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**6\/120 + h**5\/20 - h**4\/24 - 17*h**2. Let b be i(0). Put -4, 2, b, -3 in decreasing order.\nAnswer: 2, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 280*z - 574. Is v(23) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.08 + 202.22. Let x = k + -186. Is x greater than or equal to 7\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = -4*c + 4*w + 362, -3*w + 421 = 2*c. Calculate the remainder when c is divided by 78.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2346*j**4 - 25*j + 46.\nAnswer: 28152*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -64 - 2*s + s**3 + 1\/12*s**4 + 4*s**2. Give k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138d22 (base 14) in base 13?\nAnswer: 1a9563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:42 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*c - 32, 3*c - 4 = 5*y - 28 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 274921088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.779 - -2.221. Suppose 3*r + 127 = 4*g, -5*g - 39 = -3*r - 167. What is the nearest to r in i, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/196 + 3\/(-7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220110221 (base 3) in base 10?\nAnswer: -17845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b**4 + 12*b**3 - 6*b**2 - 12*b + 11. Let t(d) = -3*d**4 + 4*d**3 - 2*d**2 - 4*d + 3. Let v(l) = -6*a(l) + 21*t(l). Solve v(y) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3391?\nAnswer: 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 4)*(0*q**3 + 0*q**3 + 3*q**3)*(-2*q - q**2 + 2*q + (-3 - 1 + 2)*(4*q**2 + q**2 - 3*q**2) + 4*q - 4*q - 9*q**2).\nAnswer: -252*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(637) + -1)**2 + 5 + (-6*(sqrt(637) + (sqrt(637)*4 + sqrt(637) - sqrt(637))*-6)*2)**2.\nAnswer: 98*sqrt(13) + 48524803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45254897, -45254898, -45254899?\n\"Answer: -t - 45254896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.5. Let k = -2\/1775 - -3556\/5325. Which is the nearest to g? (a) 0.2 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 2\/13 (b) -1\/10 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -266?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -28 - (-2 - (1 + 2) - 1 - -31).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41825349.\nAnswer: 3, 1549087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**4 - 90*w**3 - 115*w**2 + 360*w + 380 = 0.\nAnswer: -2, -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**3 + 56*r**2 + 3*r + 21. Let w(o) = 5*o**3 - 54*o**2 - 4*o - 28. Give -4*p(l) - 3*w(l).\nAnswer: 5*l**3 - 62*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49158570?\nAnswer: 2, 3, 5, 37, 67, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -802155 divided by 1\nAnswer: -802155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/10)\/((-18)\/90). Suppose -y*u = -16 - 14. Solve u*l + 4 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19600, 19612, 19624, 19636?\nAnswer: 19648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let z(y) = 7*y**2 + 23*y - 395. Let o(n) = 6*u(n) - z(n). Let a be o(11). What is the highest common factor of a and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 10 + 4 + (-17 - (-8 + -4)) + -24\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/4)\/n**12)\/(n**(1\/10)\/n*n**(7\/6)) assuming n is positive.\nAnswer: n**(-751\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-1 - 1 - 13 - -4) + -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {v: 1, m: 6, i: 1, c: 3, t: 4, l: 4}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4027645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205\/33 or -5?\nAnswer: -205\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 234 + 13 - 295 + 257 - 3*a. Let u be k(35). What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1762580082 to the power of 1\/2, to the nearest integer?\nAnswer: 41983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:09 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12942182?\nAnswer: 2, 11, 241, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 12:20 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*p*w**3 - 47*p*w**2 - 2*p*w - 2575*p - 39*w**3 - 47*w - 3943 wrt p?\nAnswer: 3*w**3 - 47*w**2 - 2*w - 2575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/((-80)\/(-51810))*(-1 + 3).\nAnswer: 3, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let x(u) = u**3 - 10*u**2 + u - 6. Let z be x(10). Let y(v) be the third derivative of 0*v**3 + 0*v + v**2 + 0 + 1\/6*v**z. Give y(b(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161383798 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 + 80*z - 85 = 0. What is z?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/10)\/((-41 - -42)*(-42)\/(-5)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1651 - ((-3 - 1) + 4). Is (0 + (-12 - 1))*p\/(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + sqrt(18) + -4)**2 - ((sqrt(242) + -2 - sqrt(242)) + sqrt(2) + sqrt(36)\/sqrt(2))**2.\nAnswer: -38*sqrt(2) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16111 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*f = -60*f - 24. Which is the closest to f? (a) 1\/5 (b) -0.4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.204 - 1.204. Let f be 6 - ((-2)\/(-2) + -1). Let a(r) = r - 6. Let d be a(f). Sort d, o, 1\/3 in ascending order.\nAnswer: o, d, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(228) - (sqrt(228) + (sqrt(228) - (sqrt(228) - (sqrt(228) + 2*sqrt(228)))))))\/sqrt(12) + -2)**2.\nAnswer: 24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8. Sort 4, -2, -3, j in decreasing order.\nAnswer: 4, j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 7. Suppose 0*i - 24 = i - 5*g, 4*i = -w*g - 30. Is 4\/(-6) + (-402)\/i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 14388?\nAnswer: 4316.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 50*r**2 - 1014*r - 10143. Calculate y(-26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 12543462*k + 50173816.\nAnswer: 2*(k + 4)*(k + 6271727)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 1, c: 1, d: 3, n: 2, q: 5}. What is prob of sequence qi?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 12*v - 3*v**2 + 11*v + 1)*(-4 + 2*v + 4).\nAnswer: -6*v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 1:29 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -1.2. Let o = k - -2. Let w = -173 + 175. Which is the nearest to o? (a) -1 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324892177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:36 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(1\/13)\/((-83)\/(-1079))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/396 and 52\/33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79028 - 79028 + 5*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -266243679*r**3 + 233*r**2 - 3*r - 1326 wrt r?\nAnswer: -1597462074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5189\/3 - -1731. Which is the biggest value? (a) 1.5 (b) 6\/5 (c) 5 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f. Let p(h) = -h**3 + 3*h**2 + 4*h + 2. Let d be p(4). Let w = d - 0. Is 16 a factor of l(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 19*j**4\/12 - 11*j**3\/2 + 86*j**2. List the prime factors of k(6).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c - 3. Let n(r) = -6*r + 7. Let l = 23 - 14. Calculate l*y(p) + 4*n(p).\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 20*d**2 - 4*d - 7. What is the remainder when p(-2) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 44247*p**2 - 77*p + 77. List the prime factors of s(1).\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 24*f**3 - 36*f**2 - 16*f + 48.\nAnswer: -4*(f - 3)*(f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 76064*v\/3 - 723216512\/3.\nAnswer: -2*(v + 19016)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62416 (base 9) to base 4.\nAnswer: 22003023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 757047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7531822807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 1 - 10 - (6 + (-16 - -4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500 a factor of 286709018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 14 = 5*n. Find the second derivative of -n*w**4 + 0*w**4 + 6*w - 2*w**4 wrt w.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.437487m in kilometers?\nAnswer: 0.009437487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -2*a**3\/21 + 8*a**2\/7 - 32*a\/7 - 8. Factor o(t).\nAnswer: -2*(t - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111100010011 - -110010?\nAnswer: 11111101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -14*t + 2. Let w(f) be the second derivative of 7\/6*f**3 - 11*f + 0 - 1\/2*f**2. Give -2*d(u) - 5*w(u).\nAnswer: -7*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146496*u**4 - 18*u**3 - 2936504*u**2 wrt u.\nAnswer: -3515904*u - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 228633 (base 13) in base 15?\nAnswer: 112710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -4*z. Let f(u) = -u**2 + u. Let v(g) = g**3 + 11*g**2 + 15*g + 14. Let j(t) = z*v(t) - 2*f(t). Does 2 divide j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71344 = 315*n - 328*n. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + x + 3*x - 5*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344)*-3)\/(-3*sqrt(243)) + -2)**2.\nAnswer: -32*sqrt(7)\/9 + 772\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 9. Let m be f(-9). Sort m, 2, 5 in decreasing order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.9 and 177626974?\nAnswer: 177626974.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - -2 - (-22 - -52 - (-11 + 47)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/11 - (-31)\/(7161\/(-546))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529.5485 litres in millilitres?\nAnswer: 529548.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8724.19um to centimeters.\nAnswer: 0.872419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42852863 to the power of 1\/2, to the nearest integer?\nAnswer: 6546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.012 (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 24. Let x = i + -12. Let o(p) = -2*p + 1. Give o(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -1)*45\/(-2). Let h be 3*6\/a*-5. Suppose -5*n + 150 = -5*v, 3*n + 0*v - 95 = -h*v. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, k: 2, x: 2, n: 1, r: 1, e: 3}. What is prob of sequence eeoe?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(5103) - (-1*sqrt(5103) + sqrt(5103))*6) + sqrt(5103) - sqrt(5103) - sqrt(5103)))\/(sqrt(9) - sqrt(81)\/(sqrt(54)\/sqrt(6)) - 1*sqrt(9)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38.69 - 8.69. Which is the third biggest value? (a) -6 (b) r (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6641 and -2.4.\nAnswer: -15938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1372 (b) 3\/8 (c) -2\/7 (d) -0.204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:48 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3286 or 3288?\nAnswer: 3286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**3 + 10*z**2 + 10*z + 2. Let q(a) = -11*a**3 + 21*a**2 + 21*a + 3. Let c(d) = -13*o(d) + 6*q(d). Let m = 3555 - 3561. Is 11 a factor of c(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -466, 0, -4, -5, -12, -11.\nAnswer: -466, -12, -11, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 35*h**2 - 4*h - 43*h**2 as i*h + q + u*h**2 and give u.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -118.\nAnswer: 13\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 129091 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*b - m + 18, b + 7 = m. Let v be (12\/b)\/(14\/(-35)). Solve -29 = v*f - 32 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*g = 36, -6*f - 84 = -2*f + 8*g. What is the nearest to f in 3\/7, 2\/9, 21, 2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 8. Let r(l) = l + 2. Let x(f) = -6*b(f) + 22*r(f). Let a be x(-3). Is a equal to 5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i - 275520 = -70*i. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17942, -35748, -53420, -70952, -88338?\n\"Answer: x**3 + 61*x**2 - 17996*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -1667\nAnswer: -83.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105081.\nAnswer: 3, 35027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*z - 9. Let s be (-1)\/(((-2)\/z)\/((-54)\/288)). Factor -3 + 3*b + s*b**2 - 3\/4*b**3.\nAnswer: -3*(b - 2)*(b - 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 4. Suppose -33 = -w - 2*b + 3*b, 5*w + 4*b = 183. Calculate the remainder when w is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001087233 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3100 by -775.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2266, -2272, -2276, -2278, -2278?\nAnswer: -2276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + 2*p)*(0*p**3 + p**3 - 2*p**3) + 14*p - 14*p - 2*p**4 + (2*p**2 - 2 + 2)*(-p**2 + 0*p**2 - 6*p**2).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -76*m - 3145. Let w be r(-14). Which is smaller: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13460152 and 9168?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628595778.\nAnswer: 2, 3, 1613, 64951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14967 + -7658. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 12. What is the common denominator of 2\/o + 81\/(-55) and 32\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 948*n**2 + n.\nAnswer: 948*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + 2*u, -5*l - 39 = -2*u - 51. Let g(i) = i**3 + i**2 - 3*i - 4. Let q be g(l). Factor -2\/3*x**4 + 0 + 2\/3*x - 2\/3*x**3 + 2\/3*x**q.\nAnswer: -2*x*(x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 369\/82*(-56)\/(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/56 + (17\/4 - -1). Suppose -4*k = k - x. Let b(n) = -4*n - 1. Determine b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522a8 (base 12) to base 11.\nAnswer: 73895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/882 and -1\/882.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-28) - (-37)\/7. Let u = w + -6. Let a = -2410 + 9637\/4. What is the closest to 1\/2 in u, -2\/5, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553199248?\nAnswer: 2, 7, 4939279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -158117 (base 10) in base 2?\nAnswer: -100110100110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 - 25 = 0. Let o(t) = -2 - 8*t**2 + t + 9*t**2 + 3*t + t. Let z be o(u). Let i(w) = -w**2 + w + 1. Determine i(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2\/11, -0.069 in ascending order.\nAnswer: -3\/4, -0.069, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*m + 21*m + 21280. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, x: 4, l: 3, h: 10}. What is prob of sequence xl?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:38 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10117574, 20235187, 30352802, 40470419, 50588038, 60705659, 70823282?\nAnswer: 80940907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 177. Calculate a(-51).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 19*l**2 + 11*l + 6. Determine v(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 46*b = -16716. What is the remainder when b is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.047745 rounded to 1 dp?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44, -35, -22, -5?\n\"Answer: 2*r**2 + 3*r - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 z when three letters picked without replacement from xxxvxxzvxxzzxxkz?\nAnswer: 27\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from {u: 2, e: 1, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3413 - -19916. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**2 - 2*f**2 + 4*f**2)*(3 - 1748*f**2 - 1739*f**2 - 2*f + 3468*f**2).\nAnswer: -152*f**4 - 16*f**3 + 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 + 5*i - 4. Let h be a(1). Let q be -2 - h - 7\/(28\/(-48)). Find the third derivative of -26*s**2 - 11*s**2 + q*s**2 + 23*s**5 wrt s.\nAnswer: 1380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*n + 4 = 58*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 8*n**2 - 9*n - 10. Let x be w(-7). Calculate the highest common factor of 28 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-18))\/(5\/(-90)*4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 186*z**2 - 50779*z + 254. Determine l(273).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1365104652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*y + 22*y + 102 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -38\/11?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1973 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31811728 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 196 (c) 0.012\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42.928*-8.\nAnswer: -343.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9 + 2*r + 4 - 1. Let y be c(4). Let w(o) = -o**2 + 4*o + 1. What is w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162\/2916*(-2 + -1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -1\/2 (c) 5 (d) -681\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348488 and 2017776.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65933.91ml to litres.\nAnswer: 65.93391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 589049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 2, f: 2}. Give prob of sequence mff.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:30 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*z**2 - 4*z - 1\/2*z**3 + 2.\nAnswer: -(z - 2)**2*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -46.985, -13, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 - 199. Find the third derivative of 165*w**2 + 19*w**2 - 12 + 13 + 157*w**b - 1 wrt w.\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000241422 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:14 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234 + -2.6.\nAnswer: -236.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157130.\nAnswer: 2, 5, 19, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 67*p + 3. Let a be w(2). Let n = a + -60. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*j**3 + 61*j**3 + 63*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -1757?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -11*r - 160. Let z be 8\/r - (-21)\/4. Suppose -72 = -z*h + 203. Calculate the remainder when h is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 192 = 9*i. What is the first derivative of -i*u**2 + 72*u**2 + 88 + 27*u**2 wrt u?\nAnswer: 150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100211100 (base 3) to base 6.\nAnswer: -53100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (16\/120*18)\/(3\/((-30)\/2))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51474241*x**2 - 16*x - 1054046 wrt x.\nAnswer: -102948482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -204\/139 in 4, 1, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 6*p + 8 + 1)*(1 - 4 + 5) in the form q*p + k and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 + 601. Let s = -214 + q. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/54 and 108\/486 - 7244\/(-31752)*-1.\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 675972917 to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + sqrt(35)\/sqrt(5)*-2 - (-5 + (-1 + sqrt(700))**2)).\nAnswer: -696 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 52 = q + 59, -5*h - 4*q = -44. Solve -4*b = h + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*c - 576*c = 167*c + 52982 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0548123 weeks in seconds?\nAnswer: 33150.47904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 314*l - 928. Determine b(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*s - 16 + 16)*(-3*s + 2*s**2 + 3*s + (-4*s**2 + 3*s**2 + 0*s**2)*(-3 + 1 + 0) + 4*s**2 + 4*s**2 - 6*s**2 - 2*s**2 + 0 + 0).\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194061358 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 1 - 1)*((-1 + 1 - 1)*(-m**2 - 3*m**2 + 2*m**2) - 4*m**2 + 8 - 8).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2772 = -1179*i + 1410*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.94871227 - -0.3?\nAnswer: -0.64871227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.65 rounded to 1 decimal place?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5352254.\nAnswer: 2, 2676127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9394 + 9445. Solve -47*c + b = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3124 = 16*t - 2300. Which is bigger: 1702\/5 or t?\nAnswer: 1702\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 175*w - 2537. What is v(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336529719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 4*i + 3. Let w be n(-5). Let r(v) = -1392 - 28*v - 1395 + 4195 - 1389. Let q be r(w). Calculate the greatest common factor of q and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51359 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15484695 and 0.314.\nAnswer: -15484694.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - 5\/((-30)\/36))*-1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*4389\/154.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 73377.4 and 118.\nAnswer: 8658533.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1648 and 199?\nAnswer: 327952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - -34) + 1*-1. Suppose j - g = 21. Does 19 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 - 98 + 143 - 24 - 21. Let z(g) = 25*g - 2. Let f(k) = -26*k + 3. Let l(x) = 2*f(x) + 3*z(x). What is u(l(s))?\nAnswer: -2645*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*l - 2*m, -91*m = -4*l - 89*m - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10812, -10802, -10792?\n\"Answer: 10*m - 10822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 0)*(-o + 2 - 2) + 17*o - 48 + 48)*(-2 + 0 - 4) in the form v*o + l and give v.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9456847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2 + 2*x**2 + 0*x - 21*x + 22 + 8*x**2 - x**3. What is the tens digit of p(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 - 8*z - 3. Let h(o) = 4*o**2 + 7*o + 3. Let p(i) = -5*d(i) - 6*h(i). Let y be p(-4). What is the highest common factor of 63 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00301494 to five dps.\nAnswer: -0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 115*1 + (0\/5)\/4. Suppose 111*k + 2496 = o*k. Is k a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30903 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (295\/3)\/(3\/9). Suppose 3*z = -y + 40. What is the units digit of (z\/10)\/(3\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-60) + (-10)\/(-25)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 5:41 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**4 + 6*c**2 - 2*c**4 + 3*c**2 - 5*c**2 wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487723.\nAnswer: 31, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*h = 14223 - 13227 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 - ((12 - 6) + -3 + (5 - (19 - 8)))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 3, -4, -10215 in increasing order.\nAnswer: -10215, -4, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -9*w**3 + 3\/8*w**4 - 254 - 294*w + 315\/4*w**2. Factor t(a).\nAnswer: 3*(a - 7)**2*(a - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003055428 to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 8 = -a + 2*b, 2*a + 4*b = 20. Calculate the least common multiple of 16 and (-1)\/a*0 + 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - 153. Let g be (6\/(-9))\/(24\/l). Solve 3*y - 4*j + 7 = 0, 0*y + 2*j + 7 = g*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1*(-2*sqrt(68) - sqrt(68)))\/(sqrt(256)*-1))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(3*v**2 + 3*v**2 + 3*v**2 + (-2 + 2 - 1)*(0*v**2 - 2*v**2 + 0*v**2) + 4*v**2 + v**2 - 3*v**2)*(-1 + 3*v**2 + 1 - 2).\nAnswer: -78*v**4 + 52*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 976*t - 1. Let y(a) = 255*a + 1. What is y(h(m))?\nAnswer: 255*m**2 - 248880*m - 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -0.5, 4, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11389 - 11388.8. Let b = -0.8 - 2.2. What is the closest to l in b, -0.1, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 21*o + 1082. Give k(-44).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2644 - -39. Suppose -7*m - q = -8*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 - 915*a**2 + 24554*a\/3 + 63840.\nAnswer: (a - 2736)*(a - 14)*(a + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 56?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(512) + sqrt(32) + 1 + sqrt(3200) - (sqrt(800) + sqrt(32) + 2)*-3)**2.\nAnswer: 952*sqrt(2) + 9297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -235751 (base 11) in base 7?\nAnswer: -3114110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2803?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {j: 1, r: 1, e: 3, v: 2, y: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (64 + 2 - 17 - -15)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10925 * -0.5\nAnswer: 5462.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**3 - 2*g**2 + 17*g + 30. Let i be u(-4). Let c = i + -213. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 2\/(-1) - -87. Is (-2)\/(-5) + a\/5 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1443)\/(-26))\/((-3)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -39. Let o(f) = -29. Let a(x) = 2*x + 30. Let q(v) = -2*a(v) - 3*o(v). Let s be q(t). Sort s, 39, 4 in descending order.\nAnswer: 39, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859 is divided by 201?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 338623 * 0.016\nAnswer: 5417.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 76. Let s be c(-54). What is the greatest common divisor of s and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2733 = -1155. Suppose 2*b - s = -b. Suppose 0*f = -6*f + b. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 85*d - 38. Solve d*r + 10 = 18, -5*g = 5*r - 30 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 754, 3, 0 in decreasing order.\nAnswer: 754, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/16 (b) 1\/15 (c) 0.2 (d) 171 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0113192 - 67.9572808. Let w = f + 68. What is w rounded to 3 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3619 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00872700794 to 5 dps.\nAnswer: -0.00873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*c**2 + 133993*c\/2 - 3722 = 0. What is c?\nAnswer: 1\/18, 7444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 299 - 299 + 182*u as x + c*u and give c.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7745 and 3788854.\nAnswer: 18944270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11906*s - 11905*s = 2*k - 9, -s - k - 12 = 0 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92299*a*y**3 - 232*a*y + y**3 - 32749189*y wrt a.\nAnswer: -92299*y**3 - 232*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9523 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 188 + 88. Let h = 49 + i. Put -4, 2, h, -1 in decreasing order.\nAnswer: h, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 + 2*o. Let q(u) = -75*u**3 + 185*u**2 + 30*u. Let j(p) = -20*b(p) - q(p). Factor j(l).\nAnswer: -5*l*(l + 7)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiimmiimiiikmiki. What is prob of sequence ikk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 15*a + 161. Calculate c(-13).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 2*c + 3*k, -115 = -5*c + 5*k. Let t = -26 + c. Let i = t - -12. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 1, c: 1, s: 2, k: 1, j: 1}. Give prob of picking 1 m, 1 k, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 24*c + 31 - 154 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 873 + -866. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6 and -32\/2985?\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**(11\/4) assuming f is positive.\nAnswer: f**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 13 = -g, -g + u + 5 = -0. Let a(n) = n**2 - 3 + 0*n**g + 11 - 8*n + 18*n. Let q be a(-11). Solve 4*v = -j - 4 - 7, -v + 3*j = q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 12*k - 15*k = 17740, k - 5 = 0. Calculate the remainder when b is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + b)*(-102*b + 11 + 37*b + 10*b) to the form h + i*b + o*b**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 0. Let n be 1\/3 + (-2)\/j. What is the units digit of n + (2 - (-2 + 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 9 = -7*l. Let y(w) = 39 + 46 + 2*w - 4*w**2 + w**l - 91. What is y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*d - d + 5*d**4 - 6*d + 3*d**4 wrt d?\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:54 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3183 - 734. What is the tens digit of (5 - 26\/6) + u\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517 = 3*j - 547. Suppose -2*y - y + 39 = 4*d, -3*y + 4*d = -15. Differentiate y*k**4 + 7 - 4 - j wrt k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4 + 4061791*y**3 + 4124530439223*y**2 - 12373644121003*y - 16498170498436 = 0 for y.\nAnswer: -2030897, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-880)\/1485)\/(12\/(-36))*1?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - k - 1. Suppose -7*d = -3*d - 32. Let n be (d\/6)\/(16\/(-24)). Give y(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 2*z - 17. What is b(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51834.1ml to litres.\nAnswer: 51.8341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 336 + 434. Is 77 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 1:05 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 874, 3504, 7870, 13972?\nAnswer: 21810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -10. Let o(r) = 7*r**2 - 9*r - r**2 - 7*r**2 - 2. What are the prime factors of o(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**2 - 849000*m + 882174.\nAnswer: -4*m - 849000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.59 - -1.5. Let w = -0.09 - j. Which is bigger: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (0\/(-3) + 1). Let o be 12\/4 - 2*q. Solve 3*v = -3*x + 4*x, 0 = 4*x - o*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 665 + 99 = 3*f, -t - 2 = 0. Let a = -64 - f. What is the lowest common multiple of a and 20?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((-1 - -16) + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 31 = 107. Let y = u - -70. What is the units digit of 12\/(-15)*18*40\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 60 = -10*q. Let s(c) = q - 9 + 17*c**2 + 10 + 5 - 8*c. Let t(v) = 3*v - 4 + 4*v - 18*v**2 + 12*v**2 - 4*v. Determine -4*s(f) - 11*t(f).\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 155 - 70. Suppose 132 = u + 36. Let x = u + -62. Calculate the highest common factor of b and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 593*h - 11276. What is i(19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 3*b - 3*b + (0 + 1 + 3)*(-3*b + 0*b + b) + 2*b - 4*b + 3*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -6 - ((-4 - -20) + -25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 248 = 2*q, 19*q - 17*q + 2*i - 248 = 0. Suppose -116 = 4*s - q. Solve s*r = -4*t + 8 + 4, t - 21 = -5*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494927401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -85.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 395086664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 11*b - 29*b - 2*t, 0 = -b - 3*t - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, e: 6}. What is prob of sequence ieei?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -42. Let u be (-7 + a)\/(-20) + 38\/8. Solve -2*t + u = -3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -14*i - 9*i + 18*i. Let r(v) = -v**2. Determine w(r(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41739 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -i, 4*b - 3*i + 9 = -0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010 (base 3) to base 15.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**4 - 14*j**3 - 16*j**2 - 12*j - 4. Let w(k) = 4*k**4 + 14*k**3 + 15*k**2 + 13*k + 5. Let f(a) = 6*c(a) + 4*w(a). Find v such that f(v) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 768615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 - 2 - g + 8*g**3 + 0 - 5*g**3 - 4*g**2 - 7*g**3. Determine u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10202112 (base 3) to base 5.\nAnswer: 41431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v. Let h be q(-2). Let d(y) = 2*y**3 - 5*y**2 + 5*y + 2. Let t be d(3). Let a be h\/5 + t\/10. Solve -a*x + 12 = 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26913 (base 16) to base 5.\nAnswer: -20023341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 35*g - 530 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 192 = 17*j. Let l be 27\/(-6)*(-6)\/j. Let x(o) = -9*o**2 + 6*o + 4. Let f(s) = 5*s**2 - 3*s - 2. Let r(d) = 5*f(d) + 3*x(d). What is r(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 228, -3, 259 in increasing order.\nAnswer: -6, -3, 228, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -9. Let q(d) = 8*d + 2. Let i(t) = t**3 + 9*t**2 - 11*t - 13. Let r be i(-10). Let u(o) = -o - 1. Let z(b) = r*u(b) + x*q(b). Calculate z(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*j*x**4 + j*x**2 - 113*j*x + 214*j - 4 wrt x?\nAnswer: 16*j*x**3 + 2*j*x - 113*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 362 + 6*q**2 - 20347*q + q**3 + 20346*q in the form o*q + z*q**2 + m*q**3 + i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j*r**2 + 2157*j*r - j + 159038*r**2 + r - 2 wrt r.\nAnswer: 6*j + 318076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*r**2 + 17021*r**2 + 57010*r**2 + 84355*r**2.\nAnswer: 159736*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -377*u**4 + 2 - 150*u**4 + 31*u**2 - 445*u**4 - 33*u**2 + 108*u**4 in the form o*u**3 + x*u**4 + i*u**2 + l + a*u and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13139\/6360 - 117\/53. What is the common denominator of q and 43\/140?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 8. Let l be 7\/((-84)\/(-712))*3. Suppose -5*p + 2*h = -l, 2*h - 55 - g = -2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -1355.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19091535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k*k*k*((k\/k**(1\/4))\/k)\/k*k)*k))**(3\/7)\/((k*k**8)\/(k**13\/k)) assuming k is positive.\nAnswer: k**(117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455 divided by 291?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.683 + 0.017. Round z to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131688?\nAnswer: 2, 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 11:48 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 7, 1, 24961, 4 in increasing order.\nAnswer: -4, -1, 1, 4, 7, 24961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708098 is divided by 2157.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 148*g**2 + 21*g + 63. What is n(-2)?\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/22*-3 - (-58065)\/(-2607)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 303 + -276. Solve 4*q = 5*v - 3*v - 26, 3*v - 3*q - y = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 5:07 PM?\nAnswer: 138","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 346855747 to the power of 1\/2, to the nearest integer?\nAnswer: 18624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3\/454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**(8\/7)))**(5\/8) assuming w is positive.\nAnswer: w**(75\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t + 17. Let y be u(13). Let i = -11 - y. What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4 + 2*p**3\/3 + p**2 - 2*p + 17. Let y(q) = -q**3 + q**2 - 1. What is -f(x) + 2*y(x)?\nAnswer: 2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/69*6\/(3\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**5\/20 + 5*t**4\/24 + 5*t**3\/2 - 21*t**2 + 26*t. Let w(z) = 2*z**2 - 4*z - 15. Calculate 4*g(d) + 5*w(d).\nAnswer: -2*d**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -244 - 2?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4116*m - 330 = -4127*m. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, -1, -2, 1?\n\"Answer: 2*f**2 - 11*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqqtisqfqfkiqiq. Give prob of sequence ff.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 6*r - 75. Let k be f(12). Sort 1, k, 0, 5 in ascending order.\nAnswer: k, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6831740 is divided by 7981?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -2. Let g(b) = 6*b + 3. Let i be g(x). Let q = -14 - i. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2193 and 2838?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3945 - -4052. Which is smaller: 98 or y?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3 + 183*t**2 - 56391*t + 1248525 = 0.\nAnswer: -179, 25, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 268. What is the remainder when o is divided by 70?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from kxxx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-481 + 483)*(26\/(-10) + (-4)\/10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + 4. Let x be (-4)\/6*j\/3. Let l = -4 - x. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 plus -29778512893076?\nAnswer: -29778512893075.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 171*f**2 - 32*f + 25. Is i(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 420.\nAnswer: 3780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643641 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/20 - t**4\/6 + t**3\/3 + t**2\/2 + t. Let p be o(2). Suppose -3*l + 19 = p*r, -5*r = l - 10*r + 7. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 32752770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/11)\/(x*x**(-4)))\/(x*x**1)**(-5\/4) assuming x is positive.\nAnswer: x**(133\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 2. Calculate t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 divided by 5?\nAnswer: -371\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, 1 c, and 1 d when four letters picked without replacement from cygcwwycdycyywyycyww.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Let p be 1\/l*(0 + -2). Let n be -1 - p - 1\/4. Which is bigger: n or -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/66 + (19292\/(-1386))\/(-13). Let f(l) be the second derivative of -1\/18*l**4 - 4*l**2 + 0 + 8*l - g*l**3. Find u such that f(u) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 33. What is the nearest to 0 in i, -4\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*m**2 - 64*m**6 + 4088*m**4 - 4088*m**4 wrt m.\nAnswer: -7680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -464*n**3\/3 + 38516*n**2\/3 + 38644*n\/3 - 112 = 0.\nAnswer: -1, 1\/116, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**26\/c*c*c*c**(3\/10)*c)\/(c*c**(-1\/21)*c*c**(-22)) assuming c is positive.\nAnswer: c**(10153\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 4. Let g(i) be the second derivative of -3*i**5\/20 - i**3\/3 - i**2\/2 + 5*i. Let b be g(-1). Give c(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r + r - 4*r)*(-r + r + 2*r**2) + (5*r + r - r)*(1673*r - 3252*r + 1785*r)*(2*r - 2*r - 2*r) in the form o*r + x*r**2 + c*r**3 + m and give c.\nAnswer: -2056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 646*m**2 + 4*m**3 - 6*m**2 + 40*m**2 + 1344*m = 0.\nAnswer: -168, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**9\/252 - 7*l**6\/8 - 359*l**5\/20 + 854*l**2. What is the third derivative of w(d) wrt d?\nAnswer: 240*d**3 - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -152.777885 * -2.\nAnswer: 305.55577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6771587 and 478.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*8\/(-12)*(-7)\/(588\/(-72))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 50. Calculate the remainder when 72 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 5:41 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/3 - 12766*v**2 + 484747*v - 13811860\/3 = 0.\nAnswer: 19, 38260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-15) - (-193)\/42. Let u = -24\/7 + g. Let f = -1.96 + -0.04. Which is the nearest to -0.3? (a) f (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, v: 1}. What is prob of picking 1 z and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + (2 - 20 - -33 - (6 + -4)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5387 is divided by 199.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.094906 nanometers in meters?\nAnswer: 0.000000001094906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 9\/2. Let j(m) be the first derivative of 0*m**2 - 2 + o*m**4 + m + 0*m**3. Find the first derivative of j(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -16*t**2 - 29*t + 17. Let j(c) = 7*c**2 + 13*c - 8. Let h(z) = -7*j(z) - 3*l(z). Calculate h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -87. Suppose -2*y - l*w = y - 596, 3*w = -4*y + 813. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34238?\nAnswer: 2, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {s: 1, p: 1, k: 3, c: 4, l: 4, d: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.38 + 36.93. Let t = 184 - 158. Let k = t - d. What is k rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -21322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + sqrt(2057))*-4 + sqrt(2057))**2 - (-4 + (sqrt(170) - (sqrt(170) - (-1*(3*sqrt(170) + sqrt(170) + sqrt(170)) + sqrt(170))))\/sqrt(10))**2.\nAnswer: -37602 - 1616*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*f + 4. Which is the second biggest value? (a) f (b) -0.5 (c) -5 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-35442)\/1694 - -21)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 536, 1068, 1600, 2132, 2664?\nAnswer: 3196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1420641 and -30?\nAnswer: -42619230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 16. What is the closest to 0 in 4\/3, -2\/23, a?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven quarters of a gram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -4, 0.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8751699 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: Let w be 29 - 2 - 3*-1. Suppose -t + 43 = 4*q, 0*t + 3*t + 25 = 2*q. Calculate the remainder when (-20)\/w*-1*48 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w. Let z(d) = 460*d**2. Calculate b(z(n)).\nAnswer: 1380*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 1:35 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - b**3 + 3*b**3 + (-2*b - 3*b + 3*b)*(20*b**2 + 11*b**2 + 33*b**2) - 2*b**3 - 3 + 3 - 3 + 3 + 2*b**3 as o + x*b**2 + l*b**3 + s*b and give l.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 4*f**2 + 482*f + 2380. What is u(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103626 + -207249\/2. Factor 15\/4*z**3 + 3*z**2 + 3\/4*z + f*z**4 + 0.\nAnswer: 3*z*(z + 1)**2*(2*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -1 (c) 0 (d) 10 (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 - 26*y - 13. Suppose 4*p - 11*p + 63 = 0. Let l be v(p). What are the prime factors of (l\/(-10))\/(3\/(-30))?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -18*y**2 + 10. Let s(j) = -2*j**2 - 9*j + 2. Let l(k) = -5*k**2 - 21*k + 5. Let c(m) = -3*l(m) + 7*s(m). Give -10*c(n) - h(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 47 = -11*q, -4*q - 32 = 4*z - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 184 = 28. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646939 is divided by 215506.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.122 and -45?\nAnswer: 43.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8287809\/94 bigger than -88167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2329*m**3 + 11*m**2 + 13*m + 7. Let t(o) = 1165*o**3 - 6*o**2 - 7*o - 4. Determine -6*a(y) - 11*t(y).\nAnswer: 1159*y**3 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4 = -0*f, -12*y + f + 7 = 56 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -2*g**3\/3 - 6*g**2 + 54*g + 147. Find n, given that o(n) = 0.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15)*-10)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26865 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + -4 + 4 + -1. Solve x - 3*x + u = 6, 2*x - 2*u = -a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 + 3 - a**2 - 2*a**2. Let x(s) = 1 - 5 + 7*s**3 - 8*s**3 - 4*s**2. What is -4*p(t) - 3*x(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 23 = 4*f, 98*f = -4*u + 101*f - 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.18\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2 and 99\/1022.\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.107 - -0.074. Let u = -0.013 - r. Let v = u - 0.04. What is the second smallest value in -5, v, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4 - 1065*h**3 + 98952*h**2 - 2446080*h = 0. Calculate h.\nAnswer: 0, 40, 91, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/((-2)\/4))\/(-1). Let c be (-1210)\/1331 + 15\/(1155\/224). Solve -4*x = -r - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112796.9 millimeters in kilometers?\nAnswer: 0.1127969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 384\/29 != 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 5*y**2 + 2. Let f be r(-5). Find the third derivative of f*t**4 + 0*t**4 + 2*t**4 - 4*t**2 wrt t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 5*m**2 + m + 7. Let q be j(-5). Which is the nearest to -1\/8? (a) -0.2 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))**(-2\/25)*i**(3\/11)*i\/i**0*i*i)**(2\/23) assuming i is positive.\nAnswer: i**(1712\/6325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 177462, 354922, 532378, 709830, 887278, 1064722, 1242162?\n\"Answer: -2*g**2 + 177466*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 979769.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3956088 from -0.087632.\nAnswer: -3956088.087632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -20*o + 46. Let f be w(2). Suppose -s - k - 1 = 0, 2 + 5 = 5*s + k. Suppose -44 = -s*p - 2*g, -128 = -4*p + 3*g - 19. Solve y = f*y - p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 7*c**2 + c - 4. Let w be (-3 - -1) + -2 + 11. Let k be g(w). Suppose -4*n = -2*d, 13 = 3*d - n + k. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -4 - sqrt(76))**2*-6.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681057 to the power of 1\/2, to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26786 is divided by 26778.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 550 divide 76753600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9) - 2\/(-3). Let k = -5 + 5.1. Sort k, -5, x in increasing order.\nAnswer: -5, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/30 + 3\/(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 527*o**5\/5 - 1917*o**3\/2 - 4*o**2 - 600. What is the first derivative of d(s) wrt s?\nAnswer: 12648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3228 and 103\/295900.\nAnswer: 887700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -237*n**3 + 9*n**2 + n - 50. Let d be x(-6). Round d to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 + n - 54 - 4*n**3 + 3*n**3 + 2*n in the form c*n**3 + h*n**2 + t + y*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (89 + 3)\/2 is divided by ((-3)\/(-6))\/(1\/34).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 9*y - 36. Suppose -m + 3*a = 77, 0 = y*m - 3*m + 4*a + 283. Let l = m - -89. Solve 3*c - c = l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = i - 88 - 52, v = -i + 148. Suppose -2795 = -623*x + 14356 + 1539. What is the highest common divisor of x and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 8 = 5*z + 4*j, -3*j = -2*z + 1. Let t(w) = -3*w - 4. Let d be t(z). Let i be (50\/d - 1) + 3\/4. Solve 4*b - 22 + i = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125.1033 plus 0.1?\nAnswer: 1125.2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 + l + 5. Let q be z(-5). Let s = -79.97 - -80. Put -3, q, s in ascending order.\nAnswer: -3, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 3:46 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.77043866 + 69.7704386. Let o = -1.7 - -11.7. Let q = o - x. What is q rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2*c - 1 = -5, 0 = 5*a - 2*c + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3271089315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 6271?\nAnswer: -6272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-20)\/6*(-16)\/80. Sort -4, g, -52 in descending order.\nAnswer: g, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6)\/u*u)**(-44)*(u*u*u*u**(-1\/3)*u*u)\/(u\/u**(10\/9)) assuming u is positive.\nAnswer: u**(2023\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1567*g + 1574*g - 14. Put g, 102, 0, -1, 1 in descending order.\nAnswer: 102, g, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 11:25 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 15 = -12, 5*d - 5 = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 57\/5 of a millisecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-2)\/6)*3. Let h(v) = 3*v**3 - 10*v**2 - 4*v - 1. Let q(c) = -2*c**3 + 9*c**2 + 4*c. Let m(o) = -3*h(o) - 4*q(o). Calculate m(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 + 17*t**2 + 4*t - 4. Let g(u) = 4*u**3 - 15*u**2 - 5*u + 5. Calculate 3*b(j) + 2*g(j).\nAnswer: -j**3 + 21*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 - 71731*f\/2 - 8151342.\nAnswer: -(f + 228)*(f + 71503)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11622 - -11899. Calculate the smallest common multiple of 34 and i.\nAnswer: 9418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-8))\/(1983\/(-5288))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 - -1237. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0375758 and 3?\nAnswer: -0.1127274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.31, -5, -1\/36 in ascending order.\nAnswer: -5, -0.31, -1\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d + 4. Let z be r(2). Let m be 56\/z + 2\/(-6). Factor -13 + 2*h**3 - 4*h**2 + 8 + m - 2*h.\nAnswer: 2*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from qkkkzqlkqqzkzkqkkk?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(4\/19))**(-2\/43) assuming s is positive.\nAnswer: s**(8\/817)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2dc1 + 8e9d?\nAnswer: bd6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 1*(-1 - 0). Suppose m*f + 172 = 832. Suppose -3*y + 5*o = -83, 5*y - o = o + f. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31832 - 9271997.\nAnswer: -9303829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c - 11 = -36 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213420 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103111 - 31023?\nAnswer: -200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3206.2 times 390\nAnswer: 1250418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -1\/164216396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/9))\/(u\/(u*u**(1\/4)))*(u**(-1\/7))**(-10) assuming u is positive.\nAnswer: u**(647\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdiyjjp. What is prob of picking 1 j and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + sqrt(630)\/sqrt(10) + -3 + -2.\nAnswer: -5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 0*h**2 - 14\/3*h**3 - 13*h + 20. Differentiate w(g) with respect to g.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/5*c**4 + 16*c**2 + 0 - 72\/5*c**3 - 4\/5*c**5 - 32\/5*c.\nAnswer: -4*c*(c - 2)**3*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, 0, 8, -1706 in decreasing order.\nAnswer: 8, 0, -181, -1706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 5*i**2 - 5*i - 2. Let t be j(-4). Suppose 3 + 1 = t*f. Factor 4*k + 2*k**2 + k**2 - k**2 - k**f + 4.\nAnswer: (k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 7*b**2 + 3. Let p be n(-7). Solve u = p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -11430\nAnswer: 1\/11430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qet when three letters picked without replacement from {t: 1, i: 1, e: 2, q: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - q**2 - 3*q + 4. Let j be z(0). Put -5, j, -4, -2 in descending order.\nAnswer: j, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 90929.29 milligrams?\nAnswer: 0.00009092929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -735, -731, -717, -687, -635, -555, -441?\n\"Answer: d**3 - d**2 - 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 1. Let s(b) = -3*b + 2. Let p(x) = -6*q(x) - 5*s(x). Let y be p(7). Let u = y - 15. Solve -u*g - g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 720 - 153. Calculate the common denominator of 2 + 2\/((-36)\/c) and -23\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -1\/9, 3, -24 in descending order.\nAnswer: 3, 2, -0.1, -1\/9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 2, -72 in ascending order.\nAnswer: -72, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*f**2 - 203*f**2 + 160*f**2.\nAnswer: -804*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75284 - -82.\nAnswer: -75202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-12 + (1 - -1)). Suppose 0*o + 150 = c*o. Calculate the highest common factor of 65 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 559303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170 - -247. Suppose -2*t = -t - 62. Suppose 3*y = 2*r + l, -2*y - 5*r = -r - t. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 31023151553?\nAnswer: -31023151544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25 and 6\/2623?\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 24.000027. What is q rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1347*l + 506*l - 37060 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 170746973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p + 3\/2*p**2 + 0.\nAnswer: 3*p*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/7 and 95\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/7 (b) 1.1 (c) -1\/5 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9 - (-88)\/12. Let s(m) = 4*m + m - b*m. Let u(x) = -x**2. Give s(u(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3167046 and 42816.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199388 and 14336.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(-1\/4))\/f)**7)**12*(f**(2\/29)*f**(-3\/2))**(-35) assuming f is positive.\nAnswer: f**(8995\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, -21, -92, -201, -354, -557, -816?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7783675.\nAnswer: 5, 311347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2656090 times -1\nAnswer: -2656090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (67 - -14) + -117?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 107 = 2123. What is the remainder when m is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, v: 4}. What is prob of sequence xvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3542*f - 3456863. What is p(976)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 7*d + 216*m = 25, 10*m - 11*m = 5*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, w: 4, g: 6}. What is prob of sequence fggw?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 7*z**5 - 59*z**4\/3 + 56*z**3\/3 - 8*z**2 + 494*z. Factor s(h).\nAnswer: 4*(h - 1)*(5*h - 2)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -53, -65, -93, -143?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819*i + 365*i + 135576 = 160*i for i.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146940, -146941, -146942, -146943, -146944?\nAnswer: -146945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.1, 1, 269, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 + 3*r**2 - 2*r. Let l be f(7). Suppose 0 = 3*i + 5*q - l, -2*i - 2*q - 3*q + 783 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/7 - 7915*u\/7 - 7353000\/7.\nAnswer: -(u + 1075)*(u + 6840)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(8 - 2))\/(-2). Factor 380 - 1909 - m**3 - 286 + 6*m**3 + 95*m**2 + i*m**3 + 275*m.\nAnswer: 5*(m - 3)*(m + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2746 divide 75206051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605, -794, -1095, -1496, -1985, -2550, -3179, -3860?\nAnswer: -4581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -35\/3*s**3 - 5*s + 1 + 35\/2*s**2 + 40\/3*s**6 - 115\/4*s**4 + 8*s**5. Solve m(g) = 0 for g.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 13*o + 8. Let q be (-1)\/3*(18\/9 + o). Is q < -2.49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - k - 21, -2*v = 5*k + 3. Let x be v\/(4*3\/162). Suppose -43 = -3*m + a, -4*a = -6*m + m + x. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**3 + 2*h + 3*h**3 - 3*h + (0*h**3 - h**3 - h**3)*(0 + 3 - 5) - 2*h**3 + h**3 + 0*h**3.\nAnswer: 6*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.88079 - -1.88. Round y to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 397*a - 6897. What is the remainder when y(18) is divided by 42\/4*(-16)\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 + 26 = -5*y + 2*s, -64 = -2*y + 3*s. Suppose -10*w - y = -59. Solve -h + 12 = 4*n, -2*n - 5 = 4*h + w for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**2 + 7*a + 1. Let f(j) = 5*j**2 - 8*j - 1. Let v = 5 - -1. Suppose 25 = -v*u + u. Give u*f(i) - 6*z(i).\nAnswer: -i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73217670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53254 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3061*y = 3036*y - 225 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 268489770*f + 6007229716221075.\nAnswer: 3*(f + 44748295)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.5, -2\/11, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltvdvaldaaoaaalvavl. Give prob of picking 1 t and 1 v.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 681674 and 966.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 39*p**2 + 95*p + 15. Let j(z) = 20*z**2 + 38*z + 6. Let l(n) = -2*d(n) + 5*j(n). Let g(y) = 4*y**2 - 2*y**2 - 6*y**2. Calculate g(l(o)).\nAnswer: -1936*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1758\/36 + (-1)\/(-6) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94967 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 14?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 6:40 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 827907 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81279, -81275, -81269, -81261, -81251?\n\"Answer: q**2 + q - 81281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/9))\/(b**(5\/4)*b)*b**(10\/11)\/b**(-21) assuming b is positive.\nAnswer: b**(8005\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 687147?\nAnswer: -687138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 6. Calculate f(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 11. Calculate the highest common factor of 121 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 - 13*q - 17. Give l(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 7:34 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -47 in decreasing order.\nAnswer: 1, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -119*j - 491. Let y be f(-5). Solve 6*d - 98 = -y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-247)\/19 - (-4)\/11*(-337)\/(-10) and -1 + -1 + (-31)\/(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 845 or 954?\nAnswer: 954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 278 and 788686.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d - 9. Let y(g) = g**3 - 4*g**2 - 4*g + 11. Suppose -184 + 168 = -8*r. Let u be y(r). Determine o(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64748567939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1203 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6242000 to the nearest one hundred thousand.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 45*(2880\/1320 - 57\/11)\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*i - 184*i + 18007 = 0. List the prime factors of i.\nAnswer: 11, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090411403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*q**3*t**2 + 2*q**3*t + 11*q**2*t**2 + 975*q**2*t - q**2 - 2*q*t**2 + q*t - 15*t**2 + 6 wrt t.\nAnswer: -10*q**3 + 22*q**2 - 4*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3652)\/42 - (-4)\/14. Let x = -86 - w. Suppose -3*k = -6*k. Is x smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -199, -415, -619, -805, -967, -1099?\n\"Answer: a**3 - 223*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 2*g + 3*g + (4 + 0 + 5)*(8 - 2 + 0)*(-9*g - g + 7*g).\nAnswer: -161*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 168 = 6*y. Let g = y + 11. Let m = 22 + g. Calculate the remainder when 45 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*c = 434 - 51 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*r + 127*r + 5*b = 36, -4*r - 48 = -5*b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -189\/13 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 24) + (4 - 3) + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-1)\/(-1))\/((-7)\/14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3981238.\nAnswer: 2, 139, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + -6*(1 + sqrt(2448) + -5 - (2 + sqrt(2448) + 0)))**2.\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.12?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5396 - -5255.31. Let p = u + 140. What is p rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -178.608?\nAnswer: -178.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1761\/7 + (-56)\/98. Let r = -753 + f. Let h = -12548\/25 - r. What is the third smallest value in h, -3, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -25*r**2 + 21*r + 119. Let s(o) = o**2 - 3*o - 17. Let d(t) = 4*j(t) + 28*s(t). Let q(h) = -3*h**2 - h**2 + 2*h**2. What is d(q(n))?\nAnswer: -288*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(1*35\/(-28))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -94003*a - 9. Let n be u(-5). Let m be n + (3\/3 - 4). Let t be -1*(-4 - -7) + m. Round t to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (372\/16)\/(2\/8). Suppose 0 = -4*v + h + 255. Suppose 3*u + 4*d = v, -3*u + 2*u - 4*d = -21. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (-3 - (2 + 5) - (26 + -47)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14859\/156 + -4 + -1. Let j be (-8)\/(-10)*(-1889)\/16. Let s = j + c. What is the second smallest value in 4, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o**3 + 50*o**2 + 12*o - 35. Let z be w(-8). Let k = -1.5 - -1.53. Put k, z, -2\/5, -5 in increasing order.\nAnswer: -5, z, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 6*p - 110. Which is smaller: p or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0 - 3\/2*g**2 - 7\/6*g**3 - 20*g - 1\/20*g**5 - 7\/12*g**4. Give q(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/26 and 38\/7?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2. Let g(r) = -10*r - 5. Let w(z) = -41*z - 19. Let p(k) = 9*g(k) - 2*w(k). Let o(h) = 3*h + 2. Let d(u) = -7*o(u) - 2*p(u). Give d(f(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -587*g**7\/7 - g**4\/4 - 4*g**3\/3 + 61*g**2\/2 + 346. Find the third derivative of x(b) wrt b.\nAnswer: -70440*b**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2094773194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d + 2. Let u be 2*(-3)\/(-6)*5. Is b(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3380)\/(-1320) - (-45)\/165 and 37\/3271.\nAnswer: 19626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.8 + 17.8. Let h = 21 + -11. Let v = x - h. Is -1 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4001824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aac when three letters picked without replacement from {a: 13, c: 6}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*b**3 - 2*b**3 + 23*b**3 + 6*b - 4*b in the form z + o*b**3 + m*b**2 + p*b and give o.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 195?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0406828866 to four decimal places.\nAnswer: -0.0407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 8) in base 4?\nAnswer: -10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7543097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113260615 is divided by 7550707.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(80\/(-10)))\/(767\/944)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165418 is divided by 5169.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22141 divided by -1\nAnswer: -22141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -174280379.94 to the nearest one hundred thousand.\nAnswer: -174300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*y**3\/7 + 9204*y**2\/7 - 129184*y\/7 + 466576\/7.\nAnswer: -4*(y - 241)*(3*y - 22)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b = -2*r - 43*b - 26, 70 = -4*r + b. Put 3, r, -21 in descending order.\nAnswer: 3, r, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 4*i**2 + 5*i**2 - 12*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -83*h - 1817. Let s be v(-22). Solve -4*t + t = -r + s, 5*t = -20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/12)\/(-3*4\/16). Which is smaller: y or 31?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 63*m**2 - m - 12. Let q(n) = n. Let i(d) = g(d) + 6*q(d). Let l be i(-12). What is l rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2989, 2992, 2997, 3004?\nAnswer: 3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(112)*5 + 2 + -5 - (1*(sqrt(112) - (1 + sqrt(112)))*-2 + -2))**2.\nAnswer: -240*sqrt(7) + 2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453964419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 122578, 240337, 358086, 475819, 593530, 711213, 828862, 946471?\n\"Answer: -b**3 + b**2 + 117763*b + 4815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 21, -2\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -7.405345.\nAnswer: -11.405345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 309469160 and 715?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 6. Let a be d(-3). Differentiate -3 + 3*r - 7*r + a*r wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 2760*w - 83404.\nAnswer: 4*(w - 719)*(w + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 3*s + 13. Let w(j) = j**2 + j - 7. Let u(l) = 6*a(l) + 11*w(l). What is the units digit of u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 20 - 10 + 31 - 33*f**2)*(-6 + 7 + 5 - 5 + 1 + 2 + (3 - 4 + 3)*(-5 - 1 + 5) - 2 + 1 + 0)*(f - 1 + 1).\nAnswer: -33*f**3 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 7*x**2 + 6*x - 3. Let r be h(-6). Let f be r + 60\/9 + -3. Is 2 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5926877 nanograms?\nAnswer: 0.0000000000000005926877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-2))\/r)\/r)**(2\/7))**9\/((r*r*r\/r**1*r**5)\/((r**(2\/3)\/r*r*r)\/r*r*r**6)) assuming r is positive.\nAnswer: r**(-148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5*r + 3)*(-4*r**2 - r**2 + 3*r**2).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8320 divided by -128.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -69604 from 236934.\nAnswer: 306538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15359455*t**3 + 10177969?\nAnswer: -46078365*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.255 times 15?\nAnswer: -48.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -71073869.99 take away 0.3?\nAnswer: -71073870.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 5:50 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214.53 + 214.43. Sort 22.07, -5, w, -1 in decreasing order.\nAnswer: 22.07, w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2. Let z(m) be the first derivative of m**4\/12 - m**2 - 9. Let n(k) be the second derivative of z(k). Calculate y(n(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 6:56 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -214*h - 217*h + 435*h + 4*q, -9*q - 27 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**4\/6 - 7*f**3\/6 - 2*f**2. What is n(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 + -43 + -472 + 467?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*p**2 - 18*p**2 + 30*p**2)*(7*p + 10 - 10).\nAnswer: 357*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + s = -6*f + 65, 0 = 2*f + 5*s - 55. Suppose -f*u + 6*u + 90 = 0. Suppose -8*y - u = 6. What is the smallest value in 0.2, -1\/9, -2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -2136352?\nAnswer: -2136362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260945.\nAnswer: 5, 52189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/22 + 494\/(-8151).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -817212122.4 to the nearest one million.\nAnswer: -817000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/6 and 7\/1819.\nAnswer: 10914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 2*k**3 - 10*k**3 + (194*k**3 - 57*k**3 + 78*k**3)*(-6 + 3 - 2) in the form d*k**2 + b + p*k**3 + x*k and give p.\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10122 + -16?\nAnswer: -10141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3 + 1772*l**2 - 609901*l + 608130 = 0?\nAnswer: 1, 466, 1305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641209 is divided by 681.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-12)\/(-2986)) + 1. Let m = -631\/3 - u. Let j = m + -36. Which is the smallest value? (a) 0.3 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1119 + -63767\/8952. Suppose 1 = -5*k + 6, -3*k = -2*i + 9. Find the common denominator of (i\/4)\/((-21)\/104) and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6003844 divided by 772?\nAnswer: 7777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4 - -1)\/((-1956)\/2608)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 57*i + 6. What is the tens digit of z(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.00927483362 - -0.009274. Round g to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465465 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -468 = -343*r + 347*r. Let x be -2 - (r\/15 + 2). Suppose -5*o + 2*g = -15, -3*o + 3*g = -7*o + 12. Which is greater: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 4952.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9801187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/((-735)\/238))\/(12\/(-21))*6\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 520*n**6\/3 + 7*n**2 + 248*n - 2143. Find the second derivative of r(v) wrt v.\nAnswer: 20800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005389 rounded to six decimal places?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20311120 (base 5) in base 4?\nAnswer: -220220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30826, 32060, 33294, 34528, 35762?\nAnswer: 36996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21054*l - 3420 + 3420 - 20166*l.\nAnswer: 888*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/6 - 57\/6. Let i = m - -6. Let d be (-114)\/(-15) + i\/(-5). Calculate the greatest common factor of 16 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 85*l - 74*l + 55 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 570.5142mg to nanograms.\nAnswer: 570514200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(1\/4))**(-1\/13)*(j**(-2\/17)*j**(-2\/3)\/j*j)\/(j**1*(j*j**(-5)\/j*j)\/j) assuming j is positive.\nAnswer: j**(8477\/2652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11790944 divided by 16\nAnswer: -736934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.6 - 1.4. Let g = 4 + j. Suppose -6*x = -x + 20, -2*m = x. Are m and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 8*8\/16. Let v = 5.62 + -4.7. Is u <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j + 5 - 4 - 3 + 8*j. Let q be v(4). What is the second derivative of 5*a - 2*a**q - a**2 - 3*a - 3*a wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*p**3 + 18*i*p**2 + 5*i*p + 11*i + 1682*p**3 wrt p?\nAnswer: 12*i + 10092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - 96*k**3 + 198982*k - 198982*k.\nAnswer: -96*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -65*14104\/7826 + 121\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-5))\/(-1)*(-7141)\/(-971176)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {b: 4, k: 3, z: 6, x: 3, s: 2, p: 1}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*h - 44 = 2*k, -4*h = -k - 1. Let c be 0 + 0 + 129\/15. Let v = k + c. Is v > -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {p: 1, h: 1, z: 1, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 3 (b) 0.5 (c) 3\/7 (d) 2.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*s. Suppose 5*l - 4 - 6 = s. Suppose -1 = -i + 3*k - 5, 3*k - 2 = l*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 26*t**7\/7 - 7*t**4\/2 + 592*t**3 + 741. What is the third derivative of c(k) wrt k?\nAnswer: 3120*k**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a + 26. Let x be s(0). Solve 12*z - 62 = -x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17238 - 17243. Sort t, 0, 4, -23 in decreasing order.\nAnswer: 4, 0, t, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 82*n**3 + 888*n**2 + 3424*n + 4480.\nAnswer: (n + 4)**3*(n + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 3348?\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342444757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228009*l**3 - l + 228093*l**3 + l.\nAnswer: 84*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(200) - (-3*sqrt(200) + sqrt(200))).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0 - -6) + (-12 + 13 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*(2 - 8). Suppose 6 = -3*r + 2*r. Let a = -218863\/5 + 43773. What is the third biggest value in a, r, f, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48001330 to the nearest integer?\nAnswer: 6928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -105504043 plus 8784?\nAnswer: -105495259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjp when three letters picked without replacement from mmjpmpjjfjjfmmmjjj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5. Suppose 0*u + 4*u - 228 = m. Calculate the remainder when u is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:33 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 22, 3, 2, 446.\nAnswer: 0, 2, 3, 4, 22, 446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2*a + 266, 3*c - 198 = 129*a - 130*a. Calculate the remainder when 778 is divided by c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64679?\nAnswer: 64679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 247495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 19 = -8*y - 1 + 2, 3*c + 3*y = 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-21))\/(22\/154)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*12\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 - 178. Let d(a) = 6*a**2 + 2*a + 4. What is the units digit of d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qyyqqqqyyq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423960 is divided by 154.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 17, 23, 29, 35, 41?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7*r = -20. Suppose r*h - 11 = -27. Let c = h - -4. Solve 0 = -5*i - 2*k - 18, c = -2*i - 3*k - 2 - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32332 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 3*i**3 + 2*i**3 + (256 - 120 - 92)*(0*i**3 - 3*i**3 + 0*i**3).\nAnswer: -134*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 7*c - 11*c - c**2 + 5. Let m be b(-8). Put m, 3, 0 in descending order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15177 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z - 18. Let m(b) = 32*b - 38. What is 4*m(q) - 9*p(q)?\nAnswer: -7*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23090 + 35091. Let a = 1648 + w. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2660440000 rounded to the nearest one million?\nAnswer: -2660000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:10 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1af?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*-2029.5\nAnswer: 284.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 4*m**2 + 2*m**2. Suppose 3*g = -0*g + 6. Let j(w) = 26*w + w**g - 26*w. Calculate j(c(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -661172 (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 21*z**2 + 79*z - 23. Give s(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 19) + (71 - 73) - (-24 + 19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446766.\nAnswer: 2, 3, 19, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 o when three letters picked without replacement from {n: 2, o: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/8 - 225*k**4\/4 + 1791*k**3 + 968738*k**2 + 53281410*k + 853026300 = 0. What is k?\nAnswer: -46, -42, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4, 4 = -5*d + f. Suppose 3*n + 4*m + 1406 = d, -1551 = 2*n - 5*m - 606. Round n to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 4. Let d(o) = -5*o**2 + 9. Let c be 84\/(-22) - (-8)\/(-44). Let t(h) = c*d(h) + 9*z(h). Let b(f) = -2*f. Calculate t(b(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) - (-6)\/(-8). Let k be 0\/i - 12\/4. Let f be (0 - (4 + k))\/(-1). Calculate the greatest common divisor of 9 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1384*n**4 - 7659*n**3 + 45200512*n.\nAnswer: -16608*n**2 - 45954*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/(-27) + 4\/(-18) - 1. Let m be (-4)\/(-2) + 6 + q. Solve w - m = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (-1 + (-2 - -1)) - -4. Sort x, 2, -4 in increasing order.\nAnswer: -4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/89694 and -77\/81540.\nAnswer: 896940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -72194 divided by 46?\nAnswer: -36097\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z - 3. Let v = -4 - z. Let g = v - -3. Is -1\/8 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1611 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.9 (b) -2 (c) -8 (d) 0.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 3, e: 2, k: 1, l: 10, q: 1}. What is prob of sequence iiq?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3\/9 - 10*w**2\/9 - 16*w\/9 + 32\/3 = 0?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18069 and 17385?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -150, -235, -336, -459?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1a9?\nAnswer: 1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/24*2*-10. What is the second biggest value in -2, i, 1, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b3 + 2a7b9?\nAnswer: 2a606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**3 - 30*u**2 - 25*u - 56. Let h(q) = 2*q**3 - 10*q**2 - 8*q - 19. Let y(p) = 8*h(p) - 3*v(p). List the prime factors of y(-6).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 16 = 23*r. Suppose 76 = -r*l - 244. Let c be 6*(l\/(-6) + -2 + -1). Solve 3*t + 0 = 2*j - 7, -4*j - 6 = -c*t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1825 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 - 13*q + 46. Let t be y(16). Let g = 2792\/3 + t. Factor g*o + 2\/9*o**2 + 4\/9.\nAnswer: 2*(o + 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:17 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -88 + -76 + 182 + (-3 - 14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 420, -3, -6\/7, 6, -0.28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141736.56 hours in days?\nAnswer: 5905.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/7 and -85\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1397 divided by -329841.\nAnswer: -1397\/329841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-43 + 51 + -1 + 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 33*h - 19 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10643990 divided by 371.\nAnswer: 28690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1577.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7026535?\nAnswer: 5, 157, 8951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/10 (b) 0.2 (c) 5 (d) -62146 (e) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/12)\/((-5)\/((-40)\/(-4)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -287245*i*m**2 + 129502*i*m - 27*m**2 + 14*m wrt m.\nAnswer: -574490*i - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 21*v - 4. What is the third derivative of 26*z**3 + v + 31*z**3 + 24268*z - 28*z**2 - 24268*z wrt z?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 1c8a156?\nAnswer: 1c8a15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**3\/3 - 8. Let o(j) = 2*j**2 + 7*j**2 + 4*j**2. Calculate u(o(n)).\nAnswer: 338*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-5 - -7))*(-6)\/63. Let r = -3.02 - -0.02. Sort r, -5, d in decreasing order.\nAnswer: d, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 358 + -359. Sort -3, 4, 5, -42, f in ascending order.\nAnswer: -42, -3, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -176? (a) -3\/4 (b) 1\/2 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = z - 9, 0 = 4*k + 4*z + 25 - 29. Solve 7*o + 3*a = k*o + 15, -2*a + 3 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from ybknncm?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -91 - -4?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -z - 11, 5*z + 4 = -m. Suppose 3*x - 2*a + m = 2*a, 3*a = 5*x + 10. What are the prime factors of (25\/10)\/((-1)\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 1\/3*y**4 + 0*y**3 - 6*y - 2\/21*y**7 + 0*y**2 + 0 - 2\/15*y**6 + 1\/5*y**5. Factor i(d).\nAnswer: -4*d**2*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose k - r = 2, -2*k + b*r - 4*r + 16 = 0. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*f**4*o**3 - 4*f**4 + 3*f**3 - 4*f**2*o**3 - 3*f**2*o**2 wrt f.\nAnswer: 2832*f*o**3 - 96*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20313 - -20312. Which is bigger: -2\/77549 or i?\nAnswer: -2\/77549","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 253\/5? (a) -5 (b) -1\/2 (c) 17 (d) 5\/3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8341 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 138 = 54 + 24 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4 = 2*b, 3 - 1 = 2*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 32*x**2 - 247*x - 913. What is t(-23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3*t + 6*t)*(1 - 1 + 2*t**2) + 0*t**2 + 0*t**2 + 2*t**3 - 3*t**2 + 4*t**3 + 3*t**2 - 33*t**3 + 199*t**2 + 16*t**3 - 2738*t**2 + 15*t**3.\nAnswer: 6*t**3 - 2539*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 104*z + 9. Is 31 a factor of x(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -1\/3, -428\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2293901 and 1188138.\nAnswer: -1105763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40644242 - -1?\nAnswer: -40644241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 254, 548, 958, 1484, 2126?\nAnswer: 2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 4*l**2 + 544 - 264*l + 3*l**2 + 5*l**2 - 3*l**2.\nAnswer: -4*(l - 2)*(l + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6a2 (base 11) to base 13.\nAnswer: -6594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 5. Let y(k) = 2*k - 8. Let z(a) = -8*q(a) + 5*y(a). Let o(t) = -3*t + 5. Let m(n) = 138*n + 10. Let v(f) = -2*m(f) + 4*o(f). Determine v(z(d)).\nAnswer: -576*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 33015 = -23333 + 15290. Which is smaller: k or -2280?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3495846 + -1162846. Round p to the nearest 10000.\nAnswer: 2330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z - 54. Let l(y) = -7*y + 27. Let c(m) = 4*j(m) + 9*l(m). What is the tens digit of c(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqqheheefpj. Give prob of picking 2 e.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(0 + 0 + 3)*(-j**3 + 3*j**2 - 3*j**2)*(-4 - 1 + 2) - 2*j**3 + 2*j**3 - 4*j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, j: 3}. Give prob of picking 2 j and 2 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wppp when four letters picked without replacement from pwpppppppwppp?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3366713, -6733424, -10100135, -13466846, -16833557, -20200268?\n\"Answer: -3366711*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 11*g + 7. Let b be w(-7). Let i be 1 - (-5)\/(-6) - (-23)\/6. What is the units digit of (-8)\/(1 + (96\/b)\/i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(11\/2)*f)**(-32)*(f**(-36))**16 assuming f is positive.\nAnswer: f**(-816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 0.2968?\nAnswer: 0.2968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: aa163 (base 15) to base 8\nAnswer: 2037236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37124247?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-10)\/95 - 14310\/152190?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 6*c - 54. Let z be (-96)\/c*75\/4. Calculate the highest common factor of z and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 8*j**2 + 12*j. Give p(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*a - 15 = 4*a, -5*a - 10 = 0. Let y = r - -21. Let x be y\/24 - (-94)\/6. What is the greatest common factor of 40 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2898 + 0.0102. Let o = -0.05 - 8.95. Let q = o - -6. What is the nearest to x in q, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 - m + 1. Let p(w) = 2*w**3 + 13*w**2 + 8*w + 8. Let g(l) = -h(l) + p(l). Is g(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 + -5 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000222622 to seven decimal places.\nAnswer: 0.0002226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 102791 = -3*l, 6*n - 3*l - 128509 = n. What is n rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17465*g*m + 1514*m with respect to g.\nAnswer: -17465*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.27.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3838465 is divided by 2810.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(10\/(-15))\/(4\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -7. Suppose 2*m = u*m - 54. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -29.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**26)\/f*f*f)**(-21)\/(f*f**(-24\/11)\/f*f*f**(2\/13)))**(-1\/21) assuming f is positive.\nAnswer: f**(3997\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 - 7*f**4 - 5*f**4 + (f**2 + f**2 - 3*f**2)*(36*f - f**2 + 1061 - 1061).\nAnswer: -7*f**4 - 36*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*p = -113*p - 297 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 46 - 3\/2*w**2 + 0*w. Give f(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 18083*w - 72324.\nAnswer: -(w - 36162)*(w - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 742 (base 15) to base 3\nAnswer: 2020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 17*r**2 - 13*r - 5. Let t(s) = -s**3 - 16*s**2 + 8 - 10*s**2 + 0 + 20*s - s**3. Let v(b) = 8*p(b) + 5*t(b). Factor v(n).\nAnswer: -2*n*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 26970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5733 and 136836063?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 16*t - 76. Let n be f(5). Let l be (20 + -4 - 4)*1\/n. What is the closest to 0 in l, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -35, -2\/45, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44064926 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4232 = 3*v. What is the highest common divisor of 92 and v?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1\/97 (b) -2 (c) 175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64 - -51) + (9 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -9, -6 in descending order.\nAnswer: -1, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 3 - 3*l + 8*l - l**3 + 3*l**2. Let z be k(3). Solve -4*r + r - z = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4\/2 + 62*k**3\/3 - k**2 - 58*k - 2537. What is y(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) - (sqrt(864) + sqrt(864) + ((-2*sqrt(864) + sqrt(864) + sqrt(864))*-4 - sqrt(864) - sqrt(864))))\/((2*sqrt(84)*5 - sqrt(84))\/sqrt(7)))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*g*p**2 - 3*g*p + 1140465*g - 1284*p**4 + 125*p**3 - 11 wrt p.\nAnswer: 18*g - 15408*p**2 + 750*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from aaioaiioaaaaiia.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n\/(n*n*(n**9*n)\/n))\/n*n*n*n\/n**9*(((n*(n\/(n\/n**2))\/n)\/n)\/n)\/n*n**12\/n assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:14 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4279*s**3 - 4620*s**3 + 8901*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 + 5*v - 3. Suppose 185*p + 11 = 196*p. Calculate h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - -273*(-32)\/336?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:56 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5\/2 + 11*w**4 + 73*w**3\/2 + 25*w**2 = 0.\nAnswer: -2, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/12 and (22\/10 - 2)\/(36\/(-1370))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8652\/(-206)*51\/18?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58095 - 58068.9994. Let t = -42 - -16. Let h = n + t. What is h rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184750901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4261 + 3\/(-12) + 12\/(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*2)\/((sqrt(7) + 1*sqrt(7))*-4).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-124)\/(-14) - 9) + (-1415)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*-24*3*10\/(-90).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 2*s - g, 2*s - 4599*g - 73 = -4594*g + 43 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736 - 1723 - 6142 = -224*t + 83*t for t.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*f + 3, 2*f - 6387 = -5*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 59994235*s\/2 - 59994233.\nAnswer: -(s - 59994233)*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1109636*f + 1109638*f + 0.\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 27*l + 191. Let f be j(-7). Sort 4, 3, -5, 1, f in ascending order.\nAnswer: -5, 1, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*w + 12 = 0, -4*s - 2*w + 430 = 514. What is the fourth biggest value in -0.3, s, -2\/9, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 22. Let b be w(13). Solve -2*m - 5 = 3*m, 2*m = -b*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98876 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370039, 740103, 1110203, 1480351, 1850559, 2220839?\nAnswer: 2591203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68 and 0.0524?\nAnswer: 3.5632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 41408?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1349185.4?\nAnswer: -1349185.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7575945647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 42\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0 = -2*l + 93, o - 97 = -2*l. What is the highest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9)*-3*3. Find the second derivative of -2*u - 7*u**2 - u - 2*u**o + 7*u**2 wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*v - 7, -3*v + 13 - 1 = 0. Let k(l) = 27*l + 42. Let h(f) = -6*f - 10. Let w(g) = a*k(g) - 21*h(g). Let b(y) = 4*y. Give w(b(r)).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120.27 + -0.27. Let p = -120 + o. What is the third smallest value in 0.14, -1\/2, 5, p?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -934 and -1219 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -484601, -969172, -1453743, -1938314, -2422885?\n\"Answer: -484571*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 125 + -26?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-50)\/225 - 27\/15\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -61 + 161. Solve 5*w + y = o, -7 = -w - 3*w - y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13099602, 13099601, 13099600, 13099599, 13099598?\nAnswer: 13099597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -627.7 + 627. Which is the closest to 1\/2? (a) 1\/3 (b) n (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3755472 divided by 336\nAnswer: -11177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from etctje?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 + (-3 - -3 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116070 divided by 53.\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (547*n - 1808*n - 1041*n - 760*n)*(-6 + 6 + 4*n).\nAnswer: -12248*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7189 - -7180. Which is the closest to 1? (a) q (b) 8 (c) 1\/8 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -191359392*g - 70974722?\nAnswer: -191359392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80840125 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19302, -18971, -18640, -18309, -17978, -17647?\n\"Answer: 331*o - 19633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 1. Let r be y(2). Suppose 0 = f + r - 6. Does 13 divide 2\/f + -2 + 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8750 = a, -5*y = -1268*a + 1264*a + 43705. Is y at most as big as -8744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**0))\/(y*y*y*y*y*y**(2\/3)\/y)*y**6*y**1)**(-13))**(-28) assuming y is positive.\nAnswer: y**(2548\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.42588141 + 3.42442. What is s rounded to five dps?\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = n + 2*n + d, n - 4*d = 63. Suppose 48*k + 665 = 1865. Calculate the remainder when n is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4453.\nAnswer: 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-6)\/(-54)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64011*v**2 + 2*v - 21942.\nAnswer: 128022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 0.8 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 4*t + 5*t)*(2 + 4 - 5)*(0*t + 5*t - 4*t)*(-25*t + 0*t - 2*t) to v + n*t + q*t**3 + w*t**2 and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from yqttxgytgygggqxg.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 - 10*f**2 + 10*f**2)*(3 - 5 + 3)*(-1 - 2 + 4) + (3 + f - 3)*(-f + f + f**2).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120577.\nAnswer: 120577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p - 42 - 18. Let c(l) = 7*l**3 - l**2 + 1. Let k be c(1). Suppose -k*o - 2*z = -3*o + 24, 3*z = -5*o - 29. Is p greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 271*s**2. Let k(f) = -1744*f + 3480*f - 1738*f. Calculate k(y(q)).\nAnswer: -542*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35483 is divided by 165.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3041635?\nAnswer: -3041635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -11444626?\nAnswer: 11444613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**6\/120 + m**5\/12 - m**4\/12 - m**3\/2 - 7*m**2\/2 + m. Let n(k) be the first derivative of p(k). Calculate n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 1. Let x be ((-8)\/(-36)*-21 - 2)*-6. Let j(k) = -7*k**2 + 8. Let l(v) = v**3 + 7*v**2 - 10*v - 11. Let p be l(-8). What is p*j(z) + x*q(z)?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/234 and 107\/650.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1472 greater than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*d - 252*d - 4730 = -63*d for d.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 + 32*t + 8. Let v be (45\/25)\/(((-627)\/(-110))\/(-19)). Give n(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*r**3 - 2*r**2 + 2*r**2 + 204*r**3.\nAnswer: 129*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 189857122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -11. Let n = y - 1. Let r = n + -1. Which is the biggest value? (a) 4 (b) r (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 - 12 = 0. Let q(a) = 5 - 3 - 15*a - a**2 + 5*a + 2*a**2. Determine q(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q - 52 = -31*q. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(2 + 34\/(-4)). Let t(g) = 6*g**3 + g + 2 + 1 - 3 - 2*g**2. Let j be t(1). Solve -3*y = y + 5*b - n, 0 = -3*y + j*b - 34 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32867 and 32864 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*v - 346 + 2015 = 240*v - 557 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i + d + 4857, -5*i + 6071 = -d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -573464 by 573464.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -6*n + n. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637) - sqrt(637)) + sqrt(832) + (1*sqrt(832))**2 + -3 + (sqrt(52)\/sqrt(4))**2 + sqrt(13) + -3.\nAnswer: 9*sqrt(13) + 838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 299 = -121*l + 117*l, o - 275 = 2*l. Suppose 425 = 2*t + o. What is the remainder when t is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**4 - 41*w**2 + 126*w + 3 wrt w?\nAnswer: -48*w**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 - 395124*s**2 + 9757488396*s + 9757883524 = 0. What is s?\nAnswer: -1, 49391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29658.54m to micrometers.\nAnswer: 29658540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 30*c - 8. Let t be y(-9). Let w = t - 445. Solve p - 3*o = 2, 2*p - w*p + o - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - z + 2*z)*(-2 + 2 + z) - z**2 + 4*z**2 - 2*z**2 - z**2 + 2*z**2 - 3*z**2 + (3 + 2*z - 3)*(5*z - 6*z + 2*z) - 53*z**2 - z**2 - 19*z**2.\nAnswer: -74*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 1. Let s(f) = -47425*f. Let z(w) = -741*w. Let q(k) = 6*s(k) - 385*z(k). Let t(y) = -37*y. Let u(i) = 6*q(i) + 119*t(i). Calculate a(u(m)).\nAnswer: 21*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-240)\/18)\/((4\/(-3))\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 62. Calculate the remainder when 55 is divided by (-1846)\/(-234) - (-2)\/n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191871151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p - 74. Calculate b(9).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9, 0.1, -88, 65, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 + 15 = 0. Suppose 2*r - 416 = -u*r. Is r a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 91 - 75 - 60 + 126 + 4*d**2 - 82.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m*m\/(m**(-2)\/m*m))**(-26)\/((m*m**(3\/2)\/m)\/(m*m**3))**(-41) assuming m is positive.\nAnswer: m**(-413\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6394024 is divided by 722?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/298607 and -111\/2986070.\nAnswer: 2986070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14080 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 hundred millions digit of 460797465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.937 - -0.037. Let d = z - 0.1. Let g = d + 18.6. What is g rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oregw. Give prob of picking 3 g and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y. Let j(d) = 1707952*d. Give f(j(h)).\nAnswer: -6831808*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 6*j + 14. Calculate the remainder when 63 is divided by h(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-33 - -43)) + (-9 - 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2, 0 = 2*z - 3*u + 13 - 72. Suppose -13*k + 21 + 31 = 0. Suppose k*y + 5*m - z = 0, 3*m - 6*m = -2*y - 1. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146665 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3131364 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g. Let o(q) be the third derivative of -q**5\/3 - 7*q**2. Calculate o(x(t)).\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*m - 26 = 0, 4*m - 49 = -3*d + 19. Suppose 3*x = -x, -4*g + 12 = -4*x. Let n = d - g. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 16*v + 21. Give n(-7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 931*b\/3 - 866761\/6.\nAnswer: -(b - 931)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -1\/21, -1\/8, -4?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -33006*-3.914\nAnswer: 129185.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4267963 divided by 4267963?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13 - 2 - 3 - 6 - 2*y. Let f be p(-14). Factor -6*b**3 + 6*b + b**4 + 13*b**3 - 9*b**2 - b - 1 - 3*b**f.\nAnswer: -(b - 1)**3*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**2 + 19*n - 13. Let g(m) = 4*m**2 - 20*m + 12. Let a(l) = -3*g(l) - 4*o(l). Suppose a(t) = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -581 + 581.001992. Round d to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2290)\/(-25) - 4) + (-4)\/(-10). Let t be 3 + (-9)\/12 + 66\/g. Let l = 5 + -2. Solve -3*c - l*a + 15 = 0, 3*c + a - 15 = -t*a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 456*m**3*u**2 + 8*m**3 - 13*m**2*q + 2*m**2*u**2 + m**2 - 2*m*q*u wrt u?\nAnswer: 912*m**3*u + 4*m**2*u - 2*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -125*u - 1949. Does 2 divide m(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 705*t + 9125. Give l(-13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 497 in 7, 22, 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 469, -10, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 30 + 22. Let k(z) = -z**2 - 7*z + 7. Let b be k(-6). Is x >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6471899 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106922 is divided by 26703.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -1, 0.4, -0.034 in decreasing order.\nAnswer: 7, 0.4, -0.034, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 37. Suppose -2*g - 6 = -u*g + 2*h, g = -h. Let p(s) = 39*s. Let z be p(g). Calculate the highest common factor of 26 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/233097 and -71\/3472.\nAnswer: 809312784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*n + 19*n - 154 + 537*n + 157.\nAnswer: 472*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 7*u + 30. Suppose 28 = -5*n - 22. Let v be f(n). Let k(a) = a - 12. Give k(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660 is divided by 548?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = 0.04895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjrq when four letters picked without replacement from mfqfqmfmrqfjqql?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.3 and -0.1.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a90 - -5?\nAnswer: -a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one eighths of a litre?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 91202345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1821186 divided by -17181?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 7*j + 1 - 3*j + 5 + 8*j. Is 3 a factor of k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/28 of a week?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162\/(-1080))\/(6\/(-20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*u - 121*u = -1. Is ((-8)\/20)\/u + (-147087)\/(-45) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 99*l + 30 - 30 + 0. Let s(p) = 20*p. Determine z(s(k)).\nAnswer: 1980*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 2*n**2 - 11*n - 4. Determine j(5).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*x + 125. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1596095 and 13870?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -48. Suppose 5*m + s + 37 = -s, 0 = m + d*s + 9. Let b be (0\/2)\/(1\/(6 + m)). Solve -4 = -4*n - b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/14 + (-7)\/(-49). Let v(p) = p**3 + p**2 - p + 4. Let r be v(w). Calculate the highest common factor of 6 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (230756\/(-3))\/((-1)\/3). Suppose -4*j + 2*d - k - 889236 = 0, -d - 560004 = 2*j. Round j to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3244.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 155297*y - 303114?\nAnswer: 155297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqx when three letters picked without replacement from {u: 1, x: 3, e: 4, q: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i**2 + 71*i - 82*i + 119*i)*(-5*i**2 + 3*i**2 + 0*i**2) as n*i + w*i**4 + p*i**2 + f*i**3 + d and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 3*x - 23 = 5*o, -3*x = 4*o + 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/997 + 36845\/21934. Let y = -41683\/18 + 2312. Calculate the common denominator of y and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2786 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k - 19 + 9 + 3 + 11*k.\nAnswer: 39*k - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 482 - 262 = 2*h, -l = h + 363. Let n = h - -2933\/8. Are n and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from klk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 3 + 37 = 0. Suppose 20 = -4*w - 5*p, -12 = 5*w + p + 2*p. Solve -v*k = -w*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-79)\/4)\/((-2)\/17988*(-21)\/(-14)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 493 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0.04, 7, -0.2308?\nAnswer: -0.2308","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*d - 293 = 1352 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 3715454?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15415192 and 15912.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*g + 10. Suppose 0 = -g*k - 6*k + 192. Let a be (-2)\/(-3) - k\/27. Put -3, a, -2 in decreasing order.\nAnswer: a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 28. Which is the nearest to k? (a) 1\/8 (b) 1\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 2*h - 5*h + 23. Which is the closest to h? (a) 7 (b) -0.5 (c) 3\/8 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5515173?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s + 466. Let b(d) = -d**2 + 8*d - 3. Let p be b(8). What is the smallest common multiple of ((-2)\/p)\/((-5)\/(-150)) and r(111)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:45 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-6) + ((-108)\/8)\/9. Suppose 2*s = -3*r + 25, c*r + 5*r = 5*s. Let w = 14 - 11. Solve 0 = -2*b + w*p + 3, 3*b - s = -b + 5*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 - 3*f - 35. Let c(l) = -3*l**2 - 2*l - 23. Let w(a) = -8*c(a) + 5*v(a). Suppose 0*o = 8*o. What are the prime factors of w(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 5*f = 14, 4*f - 15 = 5*n - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -6*o + 13. Suppose -5*c + 3*m = -11, -5*c + o = -4*c + 3*m. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 18, -2, -4 in decreasing order.\nAnswer: 18, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 435\/(-290)*((-132)\/45)\/11\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.2 (c) -0.5 (d) 4\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24971423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 3. What is the remainder when v(3) is divided by (-82 - -58)*1\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128841225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251261213*v**3 + 242406229*v**2 wrt v?\nAnswer: -1507567278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) + sqrt(65)*2*6))\/(1*sqrt(180)) - -6*(sqrt(1300) + (sqrt(1300) + 0)**2)*-4.\nAnswer: -31200 - 242*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) -1\/6 (c) -0.3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222332.\nAnswer: 2, 11, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 44 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x + 11. Let v be p(-8). Suppose 1 = 5*w - 0*d - 2*d, -5*w + 9 = 2*d. Is (-190)\/(-15) + w\/v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001399888293 to seven decimal places.\nAnswer: 0.0013999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 76 = 11*g. Let f = 22 - g. Let s = -2.3 + 1.5. What is the biggest value in f, 0, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60742602 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(2\/(-8)). Let q be 0 + -1 + 4 + -1. Let r(h) = 2 - 2*h**q + 3*h**2 + 2*h**3 - 3*h**3. What is r(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*((1 - -3) + -2). Suppose l = 5*g + 5. Sort -4, -3, g, 5 in decreasing order.\nAnswer: 5, g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5, 4, 3 in decreasing order.\nAnswer: 5, 4, 3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 6*q**3 + 7*q**2 - 16*q + 1. Let b(m) = 6*m**3 + 6*m**2 - 9*m + 2. Let n(o) = -3*b(o) + 2*w(o). Calculate n(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 9. Let r be q(-5). Suppose 2*s + 14 = r*s. Suppose 5*j - s = 18. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -749 - -747. Let s be ((-6)\/4)\/((-1)\/2). Suppose 0 = 3*m + 6, 3*m + 1 = -s*l + 10. Sort l, -3, p in decreasing order.\nAnswer: l, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 25960498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-14)\/((j\/(j*j*j**12))\/j))\/(((j\/j**(2\/5))\/j)\/j)**(2\/47))**(-4\/17) assuming j is positive.\nAnswer: j**(-56\/3995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*h + 2, -5*h + 7 + 0 - 7 = 2*j + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 261319.7kg in milligrams?\nAnswer: 261319700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 37. Suppose -3*j = j + i. Let p = -883\/2312 + 2\/289. What is the biggest value in 0.5, p, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z + 2. What is the units digit of (-40)\/(-70) - (4077\/(-7) - z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d + 1. Let s be q(3). Let g be 9 - (s + 3) - -1. Suppose 0 = i - 48 - 12. Calculate the highest common factor of i and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -877462 * -0.4\nAnswer: 350984.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z**2 + 199 - 2*z**3 + 3*z**3 - 14*z**2 - 2*z as u*z**2 + q*z + g*z**3 + j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*l**2 - 2*l + 2*l.\nAnswer: -205*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i + 3*h = -11*h - 124 + 118, -2*h + 14 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 + 56*i**2 - 250*i + 192 = 0. Calculate i.\nAnswer: -32, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 26.4. Which is the closest to 1? (a) -1 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*c - 22 = 0, 0 = 4*v + 2*c - 0*c - 16. Let o = v - -2. What is the derivative of -2 + 4*k - o*k - k wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -216343*d. Let w(a) = -3*a. Give h(w(m)).\nAnswer: 649029*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/2 + 2*f**3.\nAnswer: -f**3*(f - 2)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*sqrt(260)\/(sqrt(15)\/sqrt(3)) - ((1 + sqrt(78)\/sqrt(6))**2 + (3*sqrt(104))\/sqrt(8))).\nAnswer: -102*sqrt(13) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5638 minus 1.5?\nAnswer: -2.0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 709\/5 + -2152\/15. Sort 0, 3, -55, -1\/7, u in increasing order.\nAnswer: -55, u, -1\/7, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 17 = a, 44*a = 90*q + 47*a - 51 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11186 - 7*d - 3716 - 3753 - 3717.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from qddqttqqttt?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -2\/15, -5\/2, 0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*o = -345*o - 16. Suppose 2*d - 4*a + a - 15350 = 0, -7653 = -d - o*a. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 minus 0.364599937405?\nAnswer: -211.364599937405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 21*i**2 - 761*i - 2272. What is q(-3)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k\/(k\/((k\/(k*k**(1\/12)))\/k))*k))**26)**(3\/5))**(9\/8) assuming k is positive.\nAnswer: k**(1521\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 9) + (-100 - -101).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87*n*s*z + 2*n*v*z + 3*n + 148*s*v*z + 305*v*z + 2*z wrt s?\nAnswer: 87*n*z + 148*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8394*d. Let k(w) = -17*w**2. Calculate h(k(y)).\nAnswer: 142698*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6048)*-2 + sqrt(6048))\/(4*sqrt(384)).\nAnswer: -3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b = -t - 6*b - 29, -3*t + b - 17 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242 + 2180\/9. Let h(p) be the first derivative of 2\/3*p**2 - q*p**3 - 2\/3*p + 2. Solve h(j) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 731 and 946?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3028 + 685?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.53619527 to four decimal places.\nAnswer: 1.5362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 25*h**4\/4 + 11*h**3\/3 - 11. Find the third derivative of x(q) wrt q.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4384411577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -204.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483.154497 nanoseconds to weeks.\nAnswer: 0.0000000000007988665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1933 - -1935. Let h(v) = -19*v**2 - 3*v + 1. What is h(d)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(1 + 43 + 24)*(-46 + 46 + 7*v**4).\nAnswer: 1428*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11491213 and 127209?\nAnswer: 34473639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*f - 7*f - 3*f - 3 + 16*f - 96*f.\nAnswer: -65*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -4, 1.835?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*j**2 + 664*j**2 - 224*j**2 - 222*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7788 by -3.\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - (8 - 2))*5. Let k = 272 - 107. Calculate the highest common factor of k and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (5 + sqrt(125))) + 5 + 3 + 0)**2 + (-2 + -2*sqrt(125)*-1 + 1)**2.\nAnswer: -20*sqrt(5) + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -246*a + 113160. Give d(460).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 10 - 1114*l + 2230*l - 9 - 1121*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 68\/6249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8)**(-6)*((i\/i**31)\/i)\/(i**(2\/41)*i) assuming i is positive.\nAnswer: i**(-3282\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 6) to base 9\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - 12 - 2 - (13 - -2 - 31)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -736 (c) 0 (d) 5 (e) 0.2 (f) 1\/585\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7475004, -14950001, -22424998, -29899995, -37374992, -44849989?\n\"Answer: -7474997*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840928221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 72*t**2 - 26*t + 188. What is the least common multiple of 9 and g(-72)?\nAnswer: 18540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/10 + 781*p\/10 - 1554\/5.\nAnswer: -(p - 777)*(p - 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4 - 2415*b**3 + b**2 - 182*b - 4 wrt b?\nAnswer: 24*b - 14490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 3*y, -5*b + 3*y = -8. Suppose -5*k + 8*m - 12*m - 71 = 0, 0 = -b*k + 4*m - 64. Let s = 8\/7 + 4. Find the common denominator of s and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49143*d = 49124*d + 519175. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23670 or -307714\/13?\nAnswer: -23670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245122 (base 6) to base 3.\nAnswer: -1002222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-9))\/4 + -4.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*w - 242 + 917 = -291 - 483 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = 3*a - 266. List the prime factors of a.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.97 - -0.03. Let v = -6.16 + 6.16. Let g = 0.2 + -1.2. What is the closest to g in t, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1858*r. Let l(c) = 36*c**2 - 3*c. What is l(v(i))?\nAnswer: 124277904*i**2 + 5574*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 7*r - 4. Let u be p(8). Let h(x) = x - u - x - x. What are the prime factors of h(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 28 + n + 32 + 36 - 92. Let m be z(-1). Solve 0*o + 2*o + 3*k = 10, -11 = m*o - 2*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.10127095 to 3 dps.\nAnswer: -1.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 43 - 15 - 4*s**3 + 28 - 15*s**3.\nAnswer: -19*s**3 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77, 152, 227, 302, 377?\n\"Answer: 75*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44394 and 1764.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 830 = -5*f, -w = -0*f - f + 166. Let p = -108 + f. Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4 + 190*m**3 - 815*m**2 + 1040*m - 420 = 0. What is m?\nAnswer: -42, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112346 - -112300.663. Let k = -42.4 - c. Let p = k - 2.77. Round p to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*(-13)\/91*7. Let o(a) = a**2 + 17*a + 76. What is o(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/55 bigger than 295109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 37*w**2 + 131*w - 18. Determine l(-33).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1963 = 3*o, -3*o + 1189 = 3*t - 2*o. Suppose 0 = -5*n + 4*n + t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -14 - (12 - (19 - 7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**3\/6 + 14*y. Let k(a) = a**2. Determine k(c(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 842642*o + 90151245 = 0. What is o?\nAnswer: -842535, -107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1137, -1131, -1121, -1107, -1089?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 383802947?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -808, -0.4, -4, -0.26 in descending order.\nAnswer: -2\/11, -0.26, -0.4, -4, -808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 47, 117, 261, 503, 867, 1377, 2057?\nAnswer: 2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = w, -2*l = -0*l - 4*w. What is the units digit of 3\/6*(l + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 483, -1, 0.3, -24, -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4067581ug to milligrams.\nAnswer: 0.0004067581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 5*h**2 + 0 + 11.\nAnswer: 4*h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 8:04 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -5. Let f be (2\/h)\/(1\/3). Let v = 72 + -791\/11. Which is the nearest to 0.1? (a) v (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((2 - 4)\/(-12)). Let u be 24\/10 + p\/(-15). Solve -u*n = -0*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/44994596 and 17\/224972980?\nAnswer: 224972980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 3*m**2 - 3*m. Let q(i) = 11*i**2 - 6*i**2 - 4*i**2 + i. What is h(z) + 3*q(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1758848.17\nAnswer: -3517696.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 803*t - 75937. Determine f(249).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9446.143l to millilitres.\nAnswer: 9446143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*i - 156 = 0, 3*d = -i + 15 + 79. Calculate the remainder when 65 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/1439 - 2883811\/15829. Let d = 182 - 0. Let n = m + d. Which is the second biggest value? (a) 0 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/3 (b) -4 (c) 1\/5 (d) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 6101848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(273\/(-18))*(-112)\/(-32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000086047 to 7 decimal places.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2509388 and 31388.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -32*s - 196. What is a(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 10922 = t, -3*t + 42069 - 9263 = z. What are the prime factors of t?\nAnswer: 2, 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.309658 rounded to 3 decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Suppose 0*x = -5*d - x + 19, -z*d + 4*x = -16. Let o(a) = -a**3 + 5*a**2 - 5*a + 4. What is o(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**6 + 206*d**3 + 78*d**2 + d - 2?\nAnswer: 720*d**3 + 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115246 (base 11) to base 2.\nAnswer: -101100100101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53623.99nm to meters.\nAnswer: 0.00005362399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*w + 220 - 39 = 0, 4*u + 3*w = -295 + 527 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18) + 0 + 5 - ((1*-5*sqrt(4)\/sqrt(2))**2 + -4)) + 3.\nAnswer: -37 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112396.\nAnswer: 2, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/1683 and 14\/135201?\nAnswer: 405603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -3, -10, 0.006?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -375\/11?\nAnswer: -375\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 52*w + 1713. Let x be m(-33). Put 2, -5, x, -1, 17 in ascending order.\nAnswer: -5, x, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(16)\/sqrt(4)) - sqrt(5) - (sqrt(15) + sqrt(240))\/sqrt(3)) + -3 + (sqrt(735) + sqrt(735)*2 - sqrt(735) - sqrt(735))\/(sqrt(192)*1))**2.\nAnswer: 99*sqrt(5)\/4 + 6021\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.01, -0.8, 0.8 in decreasing order.\nAnswer: 6, 0.8, -0.01, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6))**(-7\/5)*z**(4\/5)*z*z**10 assuming z is positive.\nAnswer: z**(101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/(i*i**26)))\/i**(-9) assuming i is positive.\nAnswer: i**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83845 is divided by 371?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140257040, 140257042, 140257044?\nAnswer: 140257046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*h - 290, -19 = -2*d + 2*h + 101. Let l(n) = -5*n**2 + 3*n + 8. Let q be l(-2). Calculate the remainder when d is divided by q\/108 - 86\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**6*y*y*y)**36\/(y**(-18)*y*y**(-6\/11)) assuming y is positive.\nAnswer: y**(4153\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 5, 124 in descending order.\nAnswer: 124, 5, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 628607 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-4) - -2) + (-53540)\/688 + (-1128)\/(-16168).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -697*n*y**3 - 2*n + 6*y + 63 wrt y?\nAnswer: -4182*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92853 is divided by 259.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -20. What is the smallest common multiple of 14 and s?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/3 + 85985726*b\/3 - 1848386268936769\/3 = 0. What is b?\nAnswer: 42992863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1550, 6198, 13944, 24788, 38730, 55770, 75908?\n\"Answer: 1549*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 15 = -3*x, -82*x + 612 = r + 119 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115107 is divided by 19133.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-35) - (4508\/(-5) + 2). Round x to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23492379 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i + 202482. Let k(q) = 2*q. Give u(k(b)).\nAnswer: 10*b + 202482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 143 and 396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3271*p - 8 = -3269*p - 54 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -49?\nAnswer: -27\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4976101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 339 and 43731?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 4*u - 1. Let n be y(4). Let z be (n - 0)*10\/(-5). Solve 6 = 2*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0, 0.1, 1\/2, -2, 38\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005922 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22944 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 101 - 99. Let t(h) be the second derivative of -h**5\/10 - h**4\/12 + h**2 + h. What is the remainder when m is divided by t(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33893508 divided by -1299?\nAnswer: -26092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 140, 3*f - 57 + 216 = 15*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11936206*d + 11936078*d - 2176 = 0 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -18, 5, 54.\nAnswer: -18, 4, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122515 and 71906.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-9 + 7) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*i - 2359 = -5*j, -6 = -3*i. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -231*x + 0 + 1\/4*x**4 + 191\/4*x**2 + 9*x**3.\nAnswer: x*(x - 3)*(x + 11)*(x + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-5)\/(-3)) + 28. Suppose -21*u = -y*u + 928. Suppose 0*x - 5*w + 204 = 2*x, 2*w + u = 2*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6004, 31, -5, -2, 3 in descending order.\nAnswer: 6004, 31, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 4*h - 2. Let d be o(-5). Find the third derivative of 3*n**2 - 4*n**2 + d*n**2 + 6*n**6 - 2*n**6 wrt n.\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51098355 and 10395.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 + 3*x + 12. Let a be n(3). Solve 5*b = 0, v + 5*b - a = -1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -177, -238, -299?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p = -4. Suppose -3*g + p*g = -6. Suppose 0 = 2*t + 4 - g, 8 = k - t. Calculate the least common multiple of 4 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 27*c - 3. Let v(z) = 7*z - 1. Let b(f) = -q(f) + 4*v(f). Let u(i) = 4*i - 3. Give -3*b(g) + u(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = f - 18, 5*c + 90 = 7*f - 2*f. Let o = f - 8. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 29076.\nAnswer: 901356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j - 17*j - 21*j - 50 = 0 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164*k**2 + 1163*k**2 - 3482*k**2 + 1158*k**2 - 121*k.\nAnswer: 3*k**2 - 121*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29)\/((-377)\/(-52)) - (-5282)\/(-564). Let g = -3\/94 - y. Solve 2\/3*a**2 + g*a + 200\/3 = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-1 + 1)\/1. Suppose 0 = -g*y + 43 - 11. Let l be (-2)\/(-3)*2*3\/2. Solve -l*b + 6*b = y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Suppose -5*r + 5*u - 75 = 0, 0 = -0*r + r - 2*u + 18. Let z be (-15*23\/69)\/(-5). Let j(g) = 4*g**3 + 12*g - 12. Determine r*n(x) + z*j(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*x**3*y**4 + 24*x**3*y**2 + 9913*x**2*y**4 + 2*x**2*y**2 - 4219*y wrt y.\nAnswer: 600*x**3*y + 237912*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ddc (base 14) to base 11.\nAnswer: -2073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o = 7. Let v be ((-5)\/15)\/((-2)\/(-6)). Let r be (4*v)\/(o\/(-28000)). What is r rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q**3 + 2*q**2 + 2*q + 2. Let f(c) = -14*c**3 + 4*c**2 + 5*c + 5. Give -2*f(m) + 5*k(m).\nAnswer: -7*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 18. Suppose -i = -5*q - 16, 4*i - a*q + 2*q - 81 = 0. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 291 - 286. Suppose 0 = -a + h*y + 1261, 58*a = 60*a + 5*y - 2582. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/115 and -33\/70?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -792 divided by -44\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 329684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63460041?\nAnswer: 3, 21153347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/20 - (88\/(-10) - -10). Put -3, u, -5, 17\/10 in ascending order.\nAnswer: -5, -3, u, 17\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 4*w**2 - 3*w**2 - 5*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30604, -61356, -92144, -122974, -153852?\nAnswer: -184784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4315680 - -828614069\/192. Let q = o - 39\/64. Find the common denominator of q and 20\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 25328\/(-2640) - (3 + 258\/(-90)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + j + 71, -5*m - 100 = 40*j - 41*j for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886074 a multiple of 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -144006*a + 72008*a + 1 + a**2 + 72011*a + 8*a**3 in the form k + c*a**2 + l*a + n*a**3 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w + 1. Let v(r) = 7*r**3 + 9*r**2 + 28*r - 8. What is -6*k(t) - v(t)?\nAnswer: -t**3 - 9*t**2 - 22*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(176) + 2)**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-1 + -8)\/3. Suppose -f*r + 5*o + 2510 = 0, 0*r = -3*r + 4*o + 1509. Let z = r - -622. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 420.343 - 423. Let y = 2.52 + l. What is y rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 213*w + 566*w - 1.\nAnswer: 779*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33479, -33461, -33431, -33383, -33311, -33209, -33071, -32891?\nAnswer: -32663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 8505.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 1\/3*v**4 - 11*v + 0 + 0*v**2 + 0*v**5 - 1\/7*v**7 + 0*v**3 + 0*v**6. Find the third derivative of i(l) wrt l.\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*s**3 - 1147*i**3*s**2 + 132955*i**3*s - 94*s**3 - 5 wrt s.\nAnswer: -12*i**3*s - 2294*i**3 - 564*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + (4 - (2 + (-7 - -20))) + 3 + -3.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817702?\nAnswer: 2, 908851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -19\nAnswer: 43\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -33*v + 14*v + 3060. Solve 137*c - v*c - 48 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 9) + 5 + (7 - 7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjdjjjjcjjjjj. Give prob of sequence jd.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-162)\/39 + 4\/26. Let q be 4\/(-4)*(-12)\/4. Suppose q*x + 3*k + 15 = -0*k, 3*x + 4*k = -20. Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022043212 (base 5) to base 15.\nAnswer: -2c51dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107431627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*a**4*c - 19*a**2*c + 9*c wrt a.\nAnswer: -28*a**3*c - 38*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2827 and -10.\nAnswer: -2.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638 and 11550.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 10\/9, 40.\nAnswer: -10, -4, 10\/9, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -24, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 136, -71, -47.\nAnswer: -71, -47, -4, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-54 + 59 - (-8 - -91)) + (-7 - -2)\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 2 = -3*n + 2, 0 = d + 5*n + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 656021 smaller than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9 + 3 = 0, w + 1977 = 3*a. Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -13*x**3 - 5693*x**2 + 444*x + 2505. What is j(-438)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -5*p**7\/231 - 19*p**6\/55 - 76*p**5\/55 - 2*p**4 - 32*p**3\/33 + 9*p - 31. Suppose v(d) = 0. What is d?\nAnswer: -8, -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6664 - 6656 + 709*i + 13322)*(-2 + 2 + i**4).\nAnswer: 709*i**5 + 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {a: 2, t: 1, f: 4, e: 6}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 53 = 31 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 45696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 199\/6 (b) 0.3 (c) 3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188.1 - 196. Let u = j - -1.9. What is the biggest value in -4, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102071489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 - 6 + 33*k**4 - 3*k**3 - 5*k**4 + 30*k**4 + 2 to c*k**2 + w*k**4 + x*k + g + m*k**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6572 and 90.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4 = -3*t - 2, 3*f + 5*t = 26. Suppose -3 = v, f*o + 4*v - 4233 = -o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415055208.\nAnswer: 2, 3, 71, 243577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (3 - 3) + 5. Calculate the greatest common factor of 10 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20)\/(16\/(-32))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/25 (b) 1 (c) -98 (d) -0.1 (e) 2\/47 (f) -29\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001696776864 to 7 dps.\nAnswer: 0.0016968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -261860 or -4?\nAnswer: -261860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133 + 56*m - 133)*(13 + 28*m - 3 - 8).\nAnswer: 1568*m**2 + 112*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203642 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-30)\/(-105) + 262\/(-84) and 67\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -3465, 89\/5.\nAnswer: -3465, -2\/5, 89\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 73, -1, -155, -419?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + q - 7. Let s be -3 - (-3 + 0 + 2). Let g(h) = -4*h - 2. Let u be g(s). Let p(j) = -2*j**2 + j - 6. Calculate u*p(y) - 5*i(y).\nAnswer: -2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = i - 4375001, -m + 3*i + 2*i - 875005 = 0. Round m to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s + 1724 - s - s + 229.\nAnswer: 2*s + 1953","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 352\/80 + 4\/(-10). Suppose 0 = p*i - i - 1497. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 312? (a) -3326 (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167 - 137. Let y be -4 + (-7)\/((-63)\/t). Let r(h) = -h**2 + 2. Let s be r(2). Which is the third biggest value? (a) y (b) s (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiii. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -503*0.0533.\nAnswer: -26.8099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -83. Let o(w) = 11*w. Let t(h) = 5*h. What is y*o(r) + 5*t(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0426*-1008.\nAnswer: -42.9408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s - 18*s + 48 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1105 divided by -205780?\nAnswer: 221\/41156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose 3*c + c = -p*h + 749, -3*c - 5*h = -548. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41*(-1 + 24)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (4 - 18)) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -8229.\nAnswer: 1\/2743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 139117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 32. Suppose 0 = 5*t + w - 68, -5*w + 34 = 3*t + p. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most as big as 1770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2698592 to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.37543267594 and 0.8.\nAnswer: 0.42456732406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -116173 + 76b?\nAnswer: -115604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 362897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 26, -2, 2 in increasing order.\nAnswer: -2, 2, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 + 24*a**4 - 28*a**3.\nAnswer: 4*a**3*(a - 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(54)\/sqrt(3)*-3 + -4*(1*sqrt(288))**2.\nAnswer: -1152 - 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*o + 17, 5*m = -3*o + 2*m + 15. Let y(h) = h**3 - 9*h**2 + 7*h + 11. Let s be y(o). Solve -s*c + 6 = 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9507717 and 21160.\nAnswer: 380308680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*g - 120. Let l be 3\/(-51)*g + -2. What is the nearest to -0.1 in l, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j**3 - 11*j**2 + 8*j - 49. What are the prime factors of c(6)?\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*4\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243416.\nAnswer: 2, 30427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 - t + 1. Suppose 4*s = 6*w - w + 19, -2*s = -3*w - 11. Let j be u(s). Suppose 0 = -g + j*p + 41, 5*g - p + 0*p - 205 = 0. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 141 and 11853.\nAnswer: 557091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9464 + 5962321\/630. Is v bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((sqrt(30)\/sqrt(2))\/sqrt(5)) + 2.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 141*j**2 - 207*j - 638. Suppose -4*x = -3*f + 361, 3*f - 260 = -3*x + 94. What is the remainder when f is divided by m(72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 29374166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481926477 - 481926477 - 28*z**2.\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40918 + -1841308\/45. Let d(i) be the second derivative of 0*i**2 - 7\/90*i**4 - 8*i + 0 + s*i**3. Factor d(b).\nAnswer: -2*b*(7*b - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406, 405, 404, 403?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 35\/45) + 104\/18. Solve 5*t - t = -p + 11, 0 = -4*t - 2*p + z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12922864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - w**2 - w + 1. Let u(d) = -6*d**3 - 4*d**2 - 4*d + 5. Let g be (-12)\/(-9) - 1\/3. Let r(x) = g*u(x) - 5*a(x). Is r(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(81))\/(6*sqrt(12)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/18 - 10*n**3\/3 + 237*n. Factor m(f).\nAnswer: -2*f*(f + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*q**4 - 21*q**4 + 86*q**4)*(-q - 4*q + 3*q) + 0 - 1 - 2 - q**5 + 2*q**5 - 3*q**4 + 3*q**4.\nAnswer: -159*q**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141*0.3.\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567 and 672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 285258196 to the power of 1\/2, to the nearest integer?\nAnswer: 16890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*w - 170, -44*w = -3*g - 43*w + 260 for g.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -76, -127, -220, -367, -580, -871, -1252?\nAnswer: -1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3988, -10926, -17838, -24712, -31536, -38298, -44986, -51588?\nAnswer: -58092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/7 + 20*w**2\/7 + 96*w\/7.\nAnswer: w*(w + 8)*(w + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-7))\/(4\/(-28)). Solve 0 = -z*x + 4 - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-36))\/(90\/540)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/108 and 29\/162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 23*d + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 424*h + 2025. Calculate p(-146).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 2644*y + 15902. Let j be v(-6). Suppose 2 + 7 = -3*q. Which is the smallest value? (a) -1\/8 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 1161?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 7.38.\nAnswer: 12.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 228 + -148. Calculate the remainder when s is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 674 and 337.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:36 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-40)*(-318)\/(-477)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6806.\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)*-6)\/sqrt(5) + 2.\nAnswer: -6*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -21*z**2 - 885*z + 876. Calculate o(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-24)\/m**0)\/(m*m**(-23\/3)*((m*m**(-21)*m*m)\/m)\/m))**(-4\/21) assuming m is positive.\nAnswer: m**(-32\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*o**2 - 56*o**2 + 228*o**2 to s + r*o + l*o**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*f - 36, 31884438*f + 354 = 32*u + 31884436*f for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*h - 25*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, e: 1, x: 2, f: 8, p: 1}. What is prob of picking 1 f and 2 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3\/5, 0.0658, 2\/35, -94, 2\/7, 2\/9?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -2012?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**6\/120 + x**5\/60 + x**4\/24 - 4*x**3\/3 - 3*x**2\/2 + 19*x. Let b(u) be the first derivative of t(u). Calculate b(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5013, 5010, 5007, 5004?\n\"Answer: -3*j + 5016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 21*z + 116. Determine f(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -137 and 16?\nAnswer: -2192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 1)*(3 + g - 3) + 397*g - 1891 + 1891 to the form i*g + b and give i.\nAnswer: 399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2980.67, -1, 4?\nAnswer: 2980.67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 929 times -0.4?\nAnswer: -371.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 take away 206375309?\nAnswer: -206375308.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8683 - -11010. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4 + 2*y**3\/3 - 6*y**2 - 6*y - 4\/3 = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 19 = -5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-6\/5)*w)\/(w*w\/(w*(w*w**(-6\/7))\/w)))**(-11\/2))**(-9\/2) assuming w is positive.\nAnswer: w**(-1782\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*n - 17. Let z be n\/(-10)*1*2. Solve -z*b + q = 27, -2*q + 2 + 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*j - w, -2*w = -19*j + 22*j + 6. Which is smaller: 119 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*s - 4*i - 3, 2 = -3*s - 2*i. Let j = s + 2. Suppose 0 = 4*c + 2*w - 10, -w - 10 = -0*c - c. Solve -z + 3 = -t, 1 = -t + j*t - c*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70.1 + -70. Let s = 652 - 649. Let v = 0.01 + 0.29. What is the nearest to a in v, s, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 125 = -150. Let x be 2\/(-4)*(-70)\/1. What is the greatest common factor of x and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 153776*a + 1538160.\nAnswer: -4*(a - 38454)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a - 7. Let n(u) = -u - 11. Let q be n(-8). Let l be z(q). Let h(x) = -5*x**2 - x**2 + 8*x + l + 7*x**2. Give h(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 9*l - 9. Calculate j(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7895, -15797, -23699, -31601, -39503?\n\"Answer: -7902*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -155, -604, -1345, -2372, -3679?\n\"Answer: y**3 - 152*y**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4a79eb1 - -4?\nAnswer: 4a79eb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 767 = c, 0 = p + c + c + 185. Put p, 2, -1 in increasing order.\nAnswer: p, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 456324 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 410083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 42.5. Which is the smallest value? (a) f (b) 3 (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 108 + -5286?\nAnswer: -5179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.07 less than -13?\nAnswer: 46.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**4\/8 - r**2. Let j(v) = 8*v - 10. Let y = -248 - -263. Let s(d) = 3*d - 4. Let b(p) = y*s(p) - 6*j(p). Determine b(z(t)).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/2 - 95*s**4 - 3435*s**3\/2 - 8620*s**2 - 15278*s - 8280 = 0.\nAnswer: -10, -4, -2, -1, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 85*v - 175.\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a day in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*x - 21*x + 6440 = 88*x for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 760773, 3043100, 6846983, 12172422?\n\"Answer: 760778*t**2 - 7*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**5\/20 - 19*v**4\/12 - v**3\/2 - 53*v**2\/2 - 39*v. Let f be x(-19). Solve -4 + 0 = -f*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 - -175.99. Let m = -0.66 + p. Is -3\/2 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 60 + 60 + 215855*x**3.\nAnswer: 215855*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 4444353?\nAnswer: -7\/4444353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -103. Let y(h) = -316*h + i*h**2 - 2 + 327*h - 2*h**2. Calculate y(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267\/55 + 52\/55. Let i = 105 - 311\/2. Find the common denominator of i and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + x + 4. Suppose 4*n + 4*u + 2 - 14 = 0, 3*u = n + 9. Let y be ((0 - n)*-1)\/1. Let w be z(y). Let c(g) = g**2 - 4*g + 3. Calculate c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 663620 (base 7) to base 9\nAnswer: 186828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38\/27 + 136\/135. Which is the third biggest value? (a) g (b) -1\/4 (c) 6 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 118, 277, 502, 793?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 564884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-352 + -5)*-1 - 4)*1?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 1 - 1 + (-1 + 0 - 6)*(0 + 0 + 2*w) + (w + 5*w - 3*w)*(-3 + 1 + 0).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -2\/3, 3, 12, 6 in ascending order.\nAnswer: -2\/3, 1\/4, 3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 4*i + 2*i - 2*i + 3*i - 5*i + (-30 + 11 + 9)*(6*i - 3*i - 4*i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 636441 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -70\/9 (b) -0.4 (c) -15 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 3*u**2 - 7*u + 16. Calculate the remainder when f(-5) is divided by ((-6)\/(5 - 7))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00280718705 to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 13. Suppose 4*g - j - 73 = 0, a - 9 = 5*j. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:01 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*q - 0*q + 15, 2*g - 4*q - 24 = 0. Suppose -2 = g*i - 32. Differentiate 12 - 4*z**4 + i*z**4 - 16 + 5*z**4 wrt z.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {x: 2, u: 1, r: 1, e: 1, i: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -28. Suppose 0*w - y*w + 13710 = 0. What are the prime factors of 10\/(-35) + w\/35?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 0. Let y be m\/(-2) + 2 + 3. Let u = 2.5 - 2. Which is the second biggest value? (a) y (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 14*u**2 - 337227110*u - 96350604 = 0.\nAnswer: -2\/7, 24087651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/256 and 49\/18112.\nAnswer: 72448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 - 13 = -4*z. Calculate the remainder when 159 + 6*(-40 + 49)*(-1)\/(-27) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996*d + 15*v = -1000*d + 282, -3*v = -5*d - 39 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3696 and 22428.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 43\/2 of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 527?\nAnswer: 4\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**4\/4 + 368*i. Let z(c) be the third derivative of -2*c**5\/15 + 5*c**2. What is -17*s(j) + 6*z(j)?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36649040431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -315, -629, -941, -1251, -1559?\n\"Answer: h**2 - 317*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -0.8. What is the third smallest value in -3\/7, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 2*i + 7*i + (3 - 4 + 3)*(i + 3 - 3))*(i**3 - 3*i**3 + 3*i**3).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 344 = -2*a + 347, a + w = 333. Suppose 150 - 645*v**3 + a*v**2 - 99*v + 20*v**4 - 806*v + 1193*v**2 - 151*v**2 = 0. What is v?\nAnswer: 1\/4, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 9*x**2 + 8*x + 19. Let f be a(-10). Calculate the greatest common divisor of 52 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/3 - 134\/12 and ((-936)\/196)\/((-20)\/35) - 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*h + 26 = 91*h. What is the closest to h in 0, 5, 7, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -594, 1 in ascending order.\nAnswer: -594, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210321032 (base 4) in base 6?\nAnswer: 3123342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84370 - 1.205.\nAnswer: -84371.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*b - 13*b - 19*b - 9*b in the form d*b + m and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = -22*m - 449. What is the units digit of (-442)\/2*6\/m*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**4\/12 + i**3\/3 + 3*i**2\/2 - i. What is the units digit of g(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238.4829*-4\nAnswer: 953.9316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.300834 nanometers?\nAnswer: 0.000300834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 32*f**5 + 111*f**4 + 54*f**3 - 77*f**2 - 40*f + 8. Let r(j) = j**5 + 2*j**2 + j + 1. Let n(h) = -4*r(h) - v(h). Solve n(a) = 0.\nAnswer: -2, -1, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 2963 = -2939. Let s(g) = -g**2 - 56. Let p be s(0). Let d be (-23)\/z - 14\/p. Solve 2*o - 8 = -x, d*x - x - 10 = -4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 320, -5\/8, -146.\nAnswer: -146, -3, -5\/8, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33005, -130707, -293099, -520181, -811953?\nAnswer: -1168415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -630143\/8148 + 1625\/21. Find the common denominator of n and 19\/9.\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64*(-22)\/3520)\/(1\/50*1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -124 - -120. Let c be 3*(-2)\/(-2 + -4) - g. Solve 4*l - c + 21 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597878469?\nAnswer: 3, 4021, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2662 is divided by 858?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - h**5 + h**5 + (h**2 + 2*h**2 + 0*h**2)*(7*h**3 - 3*h**3 - 2*h**3).\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 85746 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 20. Let v = -2 + 1. Let k = v + 1. Let o be m(k). What is the highest common divisor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164220 and 5355?\nAnswer: 492660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d - 4 + 0*d**2 - 6\/5*d**5 + 0*d**4 - 2\/3*d**3. What is the third derivative of s(i) wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 410 = i - 78, -i = 3*w + 496. Let m = -77 - w. What is the highest common divisor of 12 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*f**5\/3 + 816*f**4 + 25132*f**3 + 29768*f**2\/3.\nAnswer: 4*f**2*(f + 61)**2*(5*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/14)\/t)**17 assuming t is positive.\nAnswer: t**(-289\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - n - 1. Suppose -9 = -8*s + 5*s. Suppose 8 = r - 5*c, -s*r + 40 = -7*r - 4*c. What are the prime factors of u(r)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 19*r + 416 = 0. What is the highest common divisor of r and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1760\/(-1056))\/((-2)\/6). Solve -5*o = -x*r - 10, -6*o = 2*r - 9*o + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/2737*-23 - (-29)\/(-102).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - -3) + (3758 - -4)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-8 - -13) - (-1 + 0 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 5*f**2 + 3*f + 6. Let q be k(2). Suppose 3*h = -52 + 64. Let z(a) = a + 2. Let u be z(-6). Sort h, u, q in ascending order.\nAnswer: u, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, -340, -4, -1, 12, 22 in descending order.\nAnswer: 22, 12, 10, -1, -2, -4, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -162900 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*((-20)\/5 + 8). Suppose 0*l - 159 = -3*l - 3*i, -h*i - 56 = -l. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*p + 240*p**2 + 29*p - 266*p**2 - 3*p**4 + 6 as o*p**2 + h*p**3 + t*p + d + c*p**4 and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjffffkjkoozfklk. What is prob of picking 2 o and 2 j?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/9 - 12268*g\/9 - 77938\/3 = 0.\nAnswer: -19, 6153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-14)*252\/108\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 + -145. Let l be (-374)\/(-66) - (0 + n\/(-9)). Let v(z) = 2*z - 17. What is v(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -756*s + 351*s + 332*s.\nAnswer: -73*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 + q + 17. Determine k(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 4*k**2 + 6*k - 3. Let o = 8 - 3. Let a be z(o). Suppose 5 = a*l - 21. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24881*q + 688 = 24838*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/396 - 1790*56\/1760.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2711 divided by 256\nAnswer: 2711\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 1001001?\nAnswer: -1000322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42718 is divided by 427?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-6\/7)*i*i\/i**(3\/8)*i**7*i*i**(1\/3)*i*(i*i*i**(2\/3))**8\/((i\/i**3)\/(i\/(i**(3\/8)\/i*i))) assuming i is positive.\nAnswer: i**(2861\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5510 - -1?\nAnswer: 5511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -3241 (b) -1 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)\/(b\/((b*b*b**(-1))\/b)))**(-35) assuming b is positive.\nAnswer: b**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2901*k + 2169 = -732 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-72)\/108*27\/204*(-6)\/3)?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 654.5756 millimeters?\nAnswer: 654575600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -9\/2594 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1*sqrt(264))\/sqrt(11))\/(2*sqrt(192)).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-2\/5)\/u)**(13\/6) assuming u is positive.\nAnswer: u**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (15 - (-9 + 28))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2 - 33*p\/2 + 17\/2 = 0.\nAnswer: -17, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 1528*c - 24820.\nAnswer: -4*(c - 365)*(c - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 w, and 1 a when three letters picked without replacement from {t: 6, a: 4, w: 7, s: 1, d: 2}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36211\/5580 + -201\/31. Let f(y) be the third derivative of 1\/3*y**3 + 0*y + 5\/72*y**4 + 0 - g*y**5 + 22*y**2. Factor f(w).\nAnswer: -(w - 6)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**3 + 6*k**2 - k - 2. Let i(r) = -r**3. Let s(m) = 4*i(m) - t(m). Calculate the lowest common multiple of s(2) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -18*o**3 - o**2 + o + 1. Let f(l) be the first derivative of -l**4\/2 + 7*l**3 - 9*l**2\/2 - 11*l - 97. Let w be f(10). Determine m(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -33*q**2 + 4*q + 33. Let b(w) = 15*w**2 + 3*w - 1. Let v(f) = -2*b(f) - p(f). Give v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 12*m**2 + 11*m**2 - m**3 + 11*m**2 to s*m**2 + o*m**3 + d + f*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:48 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (20 + -91) - 56.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 365 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -155 + 46 - 438*b**4 - 4*b + 19 + 3*b wrt b.\nAnswer: -5256*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686331981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -1\/3 (c) -0.5 (d) 43\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 1196 + 232. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9618145 to the power of 1\/2, to the nearest integer?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4854 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 1. Let m(b) = 3*b**4 - 6*b**3 + 5. Let v be (2 + -1)*2\/2. Let c(f) = v*m(f) + 6*k(f). What is the derivative of c(x) wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157023522, -314047044, -471070566?\nAnswer: -628094088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/1316 and -71\/154.\nAnswer: 14476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745074076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50796 divided by -36?\nAnswer: -1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from tphjwhgt.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 1. Let s be x(3). What is the lowest common multiple of 3\/6 + (-22)\/s and -2 + 1\/((-1)\/(-18))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20542532421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -521272 (base 9) in base 5?\nAnswer: -34344243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3384\/1034 + (-120)\/(-44) + (0 - (-17)\/(-3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 5. Suppose -j = -5*f + 12, 16 = m*f - 0*j - 3*j. Suppose 4*c - 56 = f*c. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1884 by -6.\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + 4*p**2 - p**2 + 4*p**2 + 3*p**2 - 6*p**2 + (-4*p - p + 3*p)*(4*p + 3*p - 6*p))*(-4*p + 58 - 58).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 5. Solve -2*p = -t*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-96) + (-336)\/56 + (-1073)\/(-180)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 148, 280, 402, 514, 616, 708?\n\"Answer: -5*s**2 + 147*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 42 = 87 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 307626 take away -5.93?\nAnswer: 307631.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/20)\/((-1)\/(-25)). Let l be (56\/n)\/((-2)\/(-10)). Solve -3*o - 6 = x, -5*x + 12 = o + l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*a - 20*a - 760 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (56\/(-196))\/((-8)\/742)*324\/6.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. Solve q*r + 20 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 1, o: 2, e: 1, c: 4}. Give prob of picking 2 c and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let h(o) = 2 + 4 - j*o + 2*o. Let q = -12 + 17. Determine h(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -47\/10*j**5 - 23*j**3 + 29\/2*j**4 + 114 + 3\/5*j**6 + 20*j**2 - j. Suppose w(g) = 0. What is g?\nAnswer: 1, 20\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (0 - 1)) + (-183 - -119) + 125.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171425 is divided by 28350?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 l, and 1 e when four letters picked without replacement from {e: 4, l: 2, s: 5}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2054099.00005 - -2053893. Let t = -206 - r. Round t to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1216))**2 + sqrt(19) - sqrt(76)*-6.\nAnswer: 13*sqrt(19) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 4*k**2 + 9*k - 35. List the prime factors of i(13).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3 - 3*j**2*w + 552*j**2 - 9897*w wrt j?\nAnswer: 6*j**2 - 6*j*w + 1104*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/890900 and -9\/2657600.\nAnswer: 156798400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1016148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130904*p**5 + 48*p + 2378 wrt p?\nAnswer: 2618080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u - 13*u + 96*u**4 - 49 + 22*u. Let n(b) = -19*b**4 + 10. Let x(f) = 11*n(f) + 2*v(f). Differentiate x(c) with respect to c.\nAnswer: -68*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1*(-4 - 5 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7050619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + c + 1. Let h(g) = 13*g**2 + 142*g + 13. Let z be h(-11). Suppose 29 + 19 = -z*y. Let b(w) = 4*w**2 - 6*w - 5. What is y*b(p) - 10*u(p)?\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 241 + 90. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/24*4\/30.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*j - 5 + 5)*(4 + 0 - 2)*(0*j**2 + 3*j**2 + 3*j**2) to i*j**2 + f*j + v + t*j**3 and give t.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 14*m**2 - 5*m - 20. Let o be u(-13). Let q = o + -219. Which is the nearest to 0.21? (a) 1\/6 (b) q (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 608, -74, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*a - 30 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -9. Let r be v + -1 + 12\/4. Let y be (-11)\/(-9) - 2\/9. Do y and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 27*d**2 + 50*d - 571. Give w(28).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/8100642 and -71\/2577477.\nAnswer: 56704494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**6\/5 + 11*b**5\/10 - 5*b**4\/2 + 3*b**3 - 2*b**2 - 19*b. Suppose t(o) = 0. Calculate o.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -4727.\nAnswer: 4727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -425873*n**3*x**2 + 64*n*x**2 + 2*n*x + 2*n - 3690*x wrt n?\nAnswer: -2555238*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l - 2. Let t be 8 - (12\/4 + 0). Let v be i(t). What is the highest common divisor of v and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39811499 is divided by 5492.\nAnswer: 5483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4260 + 4884. Calculate the remainder when c is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/60 and -49\/675?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -164, -665, -1498, -2663?\n\"Answer: -166*y**2 - 3*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnfmfffcmmdj. What is prob of picking 1 n, 1 m, and 1 j?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110 - 11111?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 6. Let n(z) = -3*z + 18. Let c(r) = 17*j(r) + 6*n(r). What is the tens digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 798334?\nAnswer: -798334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/7)\/(462\/1617). Let d = -542\/5 - -108. What is the nearest to m in 1, -2\/11, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33800 divided by 5.\nAnswer: -6760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3112378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9337843 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -925958.41.\nAnswer: 1851916.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8337.742 millimeters?\nAnswer: 8337742000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7282 divided by -8?\nAnswer: 3641\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Let v be (-1)\/o*(-18)\/2. Suppose v*q = 9, -5*q - 11 = g - 34. Solve -d + g = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*t**3 - 203 + 102 + 209)*(0*t + 5*t - 3*t) as m*t + w*t**2 + k*t**4 + i + v*t**3 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5\/5 + 3802*n**4\/5 - 151322*n**3\/5 - 3802*n**2\/5 + 30264*n = 0. What is n?\nAnswer: -1940, -1, 0, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2332791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*w + 4257 - 4219. Let g(b) be the third derivative of 0 + 0*b + 5\/3*b**3 - 5\/24*b**4 + 13*b**w - 1\/12*b**5. Factor g(p).\nAnswer: -5*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119058?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 23864140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**2. Suppose 25 + 11 = 3*c. Let y(u) = -43506 + c*u + 43506. Calculate b(y(a)).\nAnswer: -432*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(700))*-3 + (sqrt(700) + -1*sqrt(700) + -1 - sqrt(700)) + sqrt(700) + (sqrt(700) - ((sqrt(700)*-1 - sqrt(700)) + sqrt(700))*2) + -3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36374 is divided by 5950.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-88))\/((-10)\/48)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 * 0.73342\nAnswer: -22.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*c**3 + 9*c**3 - 7*c + 17*c**3 - 3*c**2 + 8*c to the form r + f*c**3 + y*c**2 + j*c and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3*o + 4. Let f be r(4). Let k(w) = -w**3 - 12*w**2 - 3*w + 12. Let q be k(-12). What is the greatest common factor of f and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 211 + 349 + 210 - 775 - 1160*k in the form m*k + g and give m.\nAnswer: -1160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -130?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + -7.1. Let x = 10.5 + -1.5. Let t = x - 4. Which is the closest to -1\/3? (a) -0.1 (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191607148.\nAnswer: 2, 47901787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p = -58*p + 48. Let w(m) = m**2 - 8*m + 1. Calculate w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 960*l = 1869*l - 1031*l + 3782 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065530781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1399293*y - 1917350.\nAnswer: -1399293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*z + 202. Suppose -b + 63 - z = 0. Suppose 2*y - 78 = -o + 2*o, 0 = -5*y - 4*o + 208. What is the remainder when y is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*a**2 - 133*a**2 + 3 - 3 + 0.\nAnswer: -53*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (61\/(-3))\/(12\/(-36)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g\/(g*g*g**(1\/3)*g))\/g*g)**(-1\/35)*g\/(g**(-3)\/g)*g*(g**(-5)*g)\/g*g)**(-1\/38) assuming g is positive.\nAnswer: g**(-211\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + v - 3*v)*(-v**3 + v**3 + 2*v**3) - 5*v**4 - v**4 + 7*v**4.\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1536081, 1536079, 1536077, 1536075, 1536073, 1536071?\nAnswer: 1536069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*c**3 + 197*c**3 - 1806 + 25*c + 1810 - 2*c**2 in the form l*c + p*c**3 + o + g*c**2 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 39\/2*g**2 - 1\/4*g**5 + 0*g**3 - 9*g + 0*g**4 + 0. What is the derivative of b(j) wrt j?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*i = 277*i + 37245. What is the remainder when i is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181351527733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x + 3. Determine i(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 m when three letters picked without replacement from {m: 1, v: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218\/2753 - -568579\/4294680. What is the common denominator of -14\/975 and g?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*o + 258*o - 2*o**2 - 132*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-9 + (17 - 7) + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 3 + 25 = 0. Suppose -2*c - 10 = -2*j, -s*j + 15 - 11 = 4*c. Let y(h) = -6*h**3 + 3*h + 3. Let o(z) = -z - 1. What is c*y(l) - 3*o(l)?\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -106*l + 32. Let i(d) = 18*d - 1. Let y(a) = 6*i(a) + v(a). What is y(-24)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147780 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -77. Let j be 22\/(-6) + 15\/5. Let z = 0 - -1. Which is the closest to z? (a) v (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 - 30*g - 27 = 0. What is g?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356, 708, 1060, 1412, 1764?\nAnswer: 2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 62085, 61103, 60121, 59139, 58157?\n\"Answer: -982*b + 63067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + -13 - (13 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66744 or 0.0552?\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1607 + 1609 - 3216 + 59*n. Calculate l(-1).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2562*o**4 + 2*o**3 - 1974*o**2 + 251*o + 263617?\nAnswer: -30744*o**2 + 12*o - 3948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*i - 8 = 0, 2*i + 6 = -2*q + 14. Which is the biggest value? (a) q (b) 2\/7 (c) 3\/7 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*b + 102, s + 204*b - 202*b + 24 = 4*s + 122 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 10*g**2 - 13*g - 1. Give m(-6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*p = -4, 3*k - 5*p - 4 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3478.\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 - 109.7. Which is the closest to 0.1? (a) 2 (b) w (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 31 + 13 + 12)*(5*d**3 - 3*d**3 - 4*d**3) in the form t*d + j*d**3 + g + b*d**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6505739 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*u - 140 + 139 - 91*u in the form s*u + p and give s.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggtgg. What is prob of sequence gg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 340*a**2 + 818*a wrt a?\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + t = 196, 3*z - 199 + 789 = 2*t. Let m = z - -407. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21618 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*1\/(-2)*2. Suppose 0 = -6*s + x*s - 15. Let p = -1680 - -1680. Solve 3*n + p*n + s = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339888 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 3. Let z be r(3). Let v(b) = -b**3 + b**2 + b + 5. What is the units digit of v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 8. Let v(q) = -3*q - 3. Let a(t) = -10 - 4 + 23 - 8. Let c(l) = -l**2 - l - 1. Let b be c(0). Determine b*v(z) + d*a(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4220116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 50*t**2 - t + 1. Let y be k(1). Calculate the highest common divisor of 20 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 132, 199, 266?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2 - 2*a + 2. Let x(i) = -i**2 + i - 1. Let w(y) = u(y) + 2*x(y). Let n(o) = -o**2 - 2*o**2 + 9*o**2. What is n(w(k))?\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -535\/4981 + -3\/293. Let f be (-7 - -5)*2\/(-8). Sort t, 5, f in decreasing order.\nAnswer: 5, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 2*n**2 + n. Suppose 3*d = -2*x, -4 = -4*d - x + 1. Let c be i(d). Suppose 169 = 4*s - c*s - 5*o, 4*s - 2*o = 346. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from tno.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38466665 and -2.\nAnswer: 76933330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3 = 3*d, 4*d - 2 = 1068*q - 1067*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457272920.\nAnswer: 2, 3, 5, 3821, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64914?\nAnswer: 2, 3, 31, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y - 906. Calculate w(44).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 5*p + 5. Let r = -8 - -2. Let v be h(r). Suppose 9*x = v*x - 886. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -102, -105, -108, -111, -114?\n\"Answer: -3*p - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 70*y**2 - 42*y + 183. Is j(23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 1, o: 1, m: 1, w: 1, u: 2}. Give prob of sequence dk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 + (-13 - (17 + -33))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121299051 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, 34, 73, 124, 187?\n\"Answer: 6*b**2 + 9*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 221\/(-11) - 3*4\/(-4). Let d = 17 + x. What is the closest to 0.1 in d, 2, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, d: 6, j: 5}. What is prob of sequence gjgj?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 91*x**2 - 26*x - 26. Suppose 0 = -5*j + 3*h - 5 + 2, 5*j + 35 = -5*h. Let t(c) = 10*c**2 - 3*c - 3. Calculate j*z(w) + 26*t(w).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2609645*(66\/(-55) + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -78, 6, 15, -8, -1 in descending order.\nAnswer: 15, 6, -1, -3, -5, -8, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 1 + 1)*(-5 + 1 + 1) + 5 - 5 - 3*u to z*u + w and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 795247.\nAnswer: 318098.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 8*a + 9. Let w be u(-9). Let j be ((-72)\/(-264))\/(15\/(-100)*2). Which is greater: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 70, 92, 112, 130, 146, 160?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32045441 (base 6) to base 13\nAnswer: 26b864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258080 = 496*y - 278912 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 5*h**2 + 7*h + 2. Let u be s(-6). Let d = 11 - u. Suppose -13187*w + 304 = -13168*w. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i\/(i\/(i\/i**(2\/5))))))\/i)**(-5\/6))**(1\/18)\/((i**(-2\/3)\/i)\/(i\/i**(4\/9)))**(-14\/9) assuming i is positive.\nAnswer: i**(-557\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o + 20 = 17*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 10 = -2*b. Suppose -42 = 58*q - 60*q. Calculate the remainder when q is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 5\/3*o**2 + 28 - 1\/12*o**4 + 8\/3*o + 1\/9*o**3. Determine l so that b(l) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3259*q + 3880*q - 36 + 57 - 21 as c*q + y and give c.\nAnswer: 7139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 79. Suppose 3*x = 2*x + 1. Which is the closest to y? (a) 2\/3 (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d**5 - 397*d**4 - 649*d**3 + 617*d**2 + 656*d - 220 = 0 for d.\nAnswer: -55, -2, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -399 or 0.1?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1)*-1*(-4)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-52 + 94 - 37 - (4 + -105)) + -12\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -22 + 2 - -13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/(-7) + (-6)\/21. Suppose 181 = r*d - l - 15, -10 = -2*l. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**3 + 8*m**2 - 3*m + 5. Let o(b) = -5*b**3 + 8*b**2 - 2*b + 4. Give 2*k(l) - 3*o(l).\nAnswer: 3*l**3 - 8*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17297.13 nanometers in centimeters?\nAnswer: 0.001729713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*w + 11, -5*l = -8*l - 2*w + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 539, 2\/17, 2\/3, -1671?\nAnswer: -1671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28 + 5\/(-5) + 3.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3888160 * 2\nAnswer: -7776320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*m + 131 - 9, 337*m - 180 = -19*k + 333*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 6461.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2. Let c be z(-2). Let u = -56 - -55. Sort c, u, -5 in ascending order.\nAnswer: -5, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 279486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.35 - -4.65. What is the third biggest value in -5, k, 6\/7, 5?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3734 * -3.\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*y + 34 = 0, -3*y = -1 + 7. Let j be (0 + (-2 - 0))*4. Let a be ((-78)\/(-5))\/(j\/(-20)). Calculate the greatest common divisor of a and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, g: 1, a: 2, r: 4, s: 1, u: 3}. What is prob of picking 1 k and 1 g?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -651*d + 27*d + 3528*d to the form g + m*d and give m.\nAnswer: 2904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10001101000111011 (base 2) to base 15\nAnswer: -1661b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 27*x. Let h(o) = 28*o. Let t(m) = -5*h(m) + 4*j(m). Let k(l) = 12*l. Determine t(k(f)).\nAnswer: -384*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 7. Let h be o(11). Calculate the least common multiple of 10 and h\/(-24) + (-292)\/(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/8 + 4 - 75\/10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1 + sqrt(208))*-4 + 4*(0 + sqrt(208)) + 4 + 3 + sqrt(208) + 1))**2.\nAnswer: 1152*sqrt(13) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06423 in 3\/2, 0.19, 1, -88?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -9152227.\nAnswer: 36608908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 + 620395*n**4 - 1861215*n**3 + 1861225*n**2 - 620410*n.\nAnswer: 5*n*(n - 1)**3*(n + 124082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - w + 2 - w**3 + 23 - 1 + 2*w**2 to the form s + t*w + f*w**2 + i*w**3 and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 192 = 3*r + 2*o, 2*r + 3*o - 387 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/30 and (-825)\/(-20)*(1 + (-14)\/35).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 15) to base 8\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5795 or -5791?\nAnswer: -5791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -285, -572, -859, -1146, -1433?\n\"Answer: -287*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - 9. Let u = -9 - q. Calculate the highest common divisor of u and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-50 - -38) - (0 - 3 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.7 in -3, 0.5, -9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2604 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 44976?\nAnswer: -5\/44976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86, -164, -242?\n\"Answer: -78*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 2*t**2 + 8*t. Let z(s) = s**3 + 3*s**2 - 9*s + 1. Let x(b) = 4*p(b) + 3*z(b). What are the prime factors of x(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29565264?\nAnswer: 2, 3, 41, 83, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 72643 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 338077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(2\/56). What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19107 and 6369?\nAnswer: 19107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15999437.7 + 0.1.\nAnswer: 15999437.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d = -52*d - 68*d + 166*d - 423 for d.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2423 + 2423 - 3*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 13 = -w, 3*c + 5 = -2*w - 4. Solve -2*h - 3*k + w = 0, h - k = -3*h + 13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -37*x**2 + 223*x**2 + 5400 - 1912*x - 3*x**3 - 893*x - 255*x.\nAnswer: -3*(x - 30)**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 101*n - 107*n - 69440, -4*c + 5*n + 138908 = 0. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118781 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1 = -3*z - r, 3*r + 1 = z. Let a(k) = -k**3 + 3*k**2 + 13*k - 10. Let q be a(5). Put -2, q, z, 4 in increasing order.\nAnswer: -2, z, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3, 2\/117, -1\/3, -1\/4, 147, -1\/11?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290*w**5 + 116*w wrt w?\nAnswer: 5800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22159, 88384, 198765, 353308, 552019, 794904, 1081969?\nAnswer: 1413220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328729 = 160*k + 335129 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -11*j + 140. Let z be 330\/j + (-2)\/(-4)*-3. Suppose 0 = -z*x + 355 + 2075. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167199 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1562 and -101\/330.\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b449 (base 12) to base 11.\nAnswer: -28377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (68 + -53 - 48) + 49\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 9 = 5*j, 16 - 2 = 2*j + 4*c. Solve d - 8*i - 28 = -j*i, 0 = -3*d + i + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**2\/2 - 1. Let z(n) = -2818*n**2 + 62*n - 21. Let t(h) = -545*h**2 + 12*h - 4. Let f(m) = -31*t(m) + 6*z(m). Give f(i(k)).\nAnswer: -13*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = l - 0. Suppose 3*w + 4*k = l, 4*k - 8 = w + 2*k. Solve w = -2*o + 5*m - 24, -2*o = 2*o + 4*m - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -15, 27, 7 in decreasing order.\nAnswer: 27, 7, 3, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 - 127*x**3 - 51*x**3 + 57 - 3*x**2 + 50 + 54.\nAnswer: -178*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 5*m**6\/6 - 20*m**2 + 18. Find the second derivative of w(k) wrt k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((32\/12)\/4)\/((-3)\/(-3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from qpqp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8464203 to the nearest integer?\nAnswer: 2909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h - 40. Suppose 9*u - 20 = 5*u. Let n be t(u). Sort -2, n, 2 in ascending order.\nAnswer: -2, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 583372 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 71777.\nAnswer: 71776.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -9*w**4\/4 - 4*w**3 + 15*w**2\/2 + 6*w + 2. Find j such that c(j) = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 19 = 3*a - 0, -2*m = 5*a. Suppose -4*u - 2*h - 2 = 0, -3*h = 2*u - 0 - m. What are the prime factors of 2*((-9)\/u)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyy. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 3*s**2 + 2*s - 4. Let x be i(3). Are x and 4\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5*n = 10, 2*n = b + n - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3140, -6870, -10590, -14294, -17976?\nAnswer: -21630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23884743 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 240 = -246 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**4 + 1 - 1 + (-2*o**2 + 2*o**2 - 14*o**3)*(-5*o + 4*o - 5*o).\nAnswer: 79*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*b + 7, 2 = 4*b + 2*v - 0. Suppose -2*s - b*s = -256. What is the highest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 660 and 2.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -40. List the prime factors of (-4 - 1)*(d + -22).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -406, -6 in descending order.\nAnswer: -1, -6, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 3*u**2 - 1 + 3 + 4*u**2 - 4*u. Let r be 12\/(-27) + 16\/36. What is n(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -134?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101386 is divided by 157?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153267 is divided by 3053?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 1079*s - 1060*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(-1\/3)\/b)*b)*b**3*(b*b\/b**(-1)*b)**4)**(-7) assuming b is positive.\nAnswer: b**(-350\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 8*q**2 - q - 5. What is o(-7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -16. Let l be (4\/(-5))\/(4\/d). Let p be -1*((-10)\/4 + l). Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {s: 4, i: 2, d: 1, e: 3, x: 7}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {o: 1, m: 2, s: 1, a: 1, u: 1, c: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -9 (b) 0.2 (c) 71 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c - 226. What is the smallest common multiple of 32 and g(-45)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 3)\/((-6)\/15). Let w(g) = -g**2 - 4*g + 5. Let c be w(p). Solve 0 = -2*j - 2 - c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 e when three letters picked without replacement from jwjejhjfjjjejfjjfjff.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34.12968 litres?\nAnswer: 34129.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.9 + 36. Let v = d + -26. Let j = v - 2. What is the closest to -1 in -0.5, j, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1 - 154*t**2 + 157*t**2 - 3*t**3 to the form s*t**3 + f*t**2 + q + d*t and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -52635111 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-365*d - 338*d - 309*d)*(0*d**3 - 2*d**3 + 4*d**3).\nAnswer: -2024*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114426 and 44304.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56794, -56748, -56702, -56656, -56610?\n\"Answer: 46*r - 56840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11040*b - 3945*b + 1887*b.\nAnswer: -13098*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 56*n - 60*n = 4, -5*m - 2 = 4*n. Solve m = 5*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*sqrt(8) - (sqrt(2) - sqrt(14)\/(sqrt(35)\/sqrt(5))))**2*4 - (sqrt(12)\/(sqrt(6) + (sqrt(6) - sqrt(384)*4))*5)**2).\nAnswer: 2875\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (6\/(-7))\/(-3) - 292\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - o + 1. Let r(b) = -b**3 + b**2 - b - 3. Let v be r(0). Let h be i(v). Let j(k) = -k - 4. Let q be j(h). Sort -0.5, -5, q in descending order.\nAnswer: q, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -294*m**2 + 2*m + 3 wrt m.\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (sqrt(432)*-2 - sqrt(432))) + sqrt(432) + sqrt(432) - 2*sqrt(12)*-1)\/(-1*sqrt(64) - sqrt(40)\/(sqrt(30)\/sqrt(3)))*6.\nAnswer: -228*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126878 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 51 + 113 = 0. Calculate the highest common factor of 328 and s.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 1 (c) -56 (d) 3 (e) 0.3 (f) 0.1 (g) 1252\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -90.6 times 0.08\nAnswer: -7.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 54\/5 of a meter?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*b**3*g - 2*b**3*i - 85*b**3 - 2*b**2*i - 102*g*i + 2*i wrt g.\nAnswer: 63*b**3 - 102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -7229.383?\nAnswer: 7229.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (35 + (-2 - 95))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492405 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 - 4*o + 1. Let f be i(-4). Is 4\/(-8) - f\/2 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 7.3 (c) 0.5 (d) 2 (e) 182 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -2 (c) 5\/4 (d) -21.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - -1 - (-8)\/(-8). Let p be (-2 - t)*4\/4. Let u(w) = -15*w - 2. Let h be u(p). What is the greatest common divisor of h and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/27*(-42)\/(-14))\/((-3)\/117)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 - 28 = 0. Let d = z + 19. Let k = d - 0. Solve -k*u + u = -10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -x + 2*o + 16115218, 5*x - 26858702 = -2*o. Let t = 11671740 - x. Round t to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**3 - 3*t - 114. Let s(x) = 5*x**3 - x**2 + x + 1. Determine -n(y) + s(y).\nAnswer: 2*y**3 - y**2 + 4*y + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144815, -289649, -434509, -579407, -724355?\nAnswer: -869365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2495.94992 rounded to the nearest ten?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 + 510*o\/7 + 512\/7.\nAnswer: -2*(o - 256)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -34 - 20. Let x be (-10)\/c - (-2)\/(-6). Let r = 53\/13 + -51\/13. What is the third smallest value in x, -0.1, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -125*i + 1. Let n be j(-1). What is the highest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*5\/(-28)*2\/(-5*(-22)\/(-132))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 6*u - 1. Let m be j(5). Suppose -2*i + p = -6*i + 11, -2*i = 2*p - 10. Solve -5*a - 34 = -3*d, -i*a + m*a = -10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**3 - 4*l**2 + 2*l. Suppose j + 5*g - 10 - 7 = 0, 0 = 4*j + 4*g - 20. Give s(j).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*y + 2801 = 227*y + 393 for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d + 97*d**2 - 165*d + 77*d.\nAnswer: 97*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*p**4 - 5*p**2 + 247*p wrt p.\nAnswer: -216*p**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3885 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 5*u + 4. Let t be x(5). Suppose -4*p - 4*j - 4 = p, p - 4 = t*j. Suppose b + p*b = -10000. Round b to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 543 - 539. Suppose -o*a = 261 - 345. What is the closest to -4\/7 in a, 0.5, 3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 12*p - 3*p + p + p + (-2 - 2 + 2)*(-3*p - 2*p + 3*p) - 257*p + 27*p - 95*p.\nAnswer: -334*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231.7450113 - 228.985. Let g = -2.76 + s. What is g rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*108\/117\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -33*w - 233. Let q be x(-13). Solve q*t = 199*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 2*o**2 + 7*o + 5. Let q be k(-4). What is the greatest common factor of q and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 654 times 7835\nAnswer: 5124090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-350.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.03 (c) -2 (d) -0.07548\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Suppose 2*q = c + 409. Suppose -206*p**4 - 60 - 320*p - q*p**4 + 128*p**4 - 635*p**3 - 45*p**5 - 655*p**2 = 0. What is p?\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 6*l - 5. Let z be n(-6). Let t = -9 - z. Let o = -2 - t. Solve -o*y = y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*c = -12, 4*g = c - 15 + 2. Let l(x) = -x**3 + 3*x**2 + 4*x + 4. Let s(p) = -2*p**2 - 3*p - 4. Calculate g*l(a) - 3*s(a).\nAnswer: 2*a**3 + a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 + 3 + -1 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 3. Suppose -3*y - t = 0, -i - 6 = 2*y - 0. Suppose 0 = -c - i + 2. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1256\/5 + 2\/5*o**2 - 1258\/5*o.\nAnswer: 2*(o - 628)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 2*l - 9*l. Let a(j) = j. Determine s(a(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 8. Let m(j) = -3*j - 1. Let c(l) = 21*l + 9. Let t(a) = 4*c(a) + 27*m(a). Determine 5*i(b) + 4*t(b).\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 14. Let x be f(6). Suppose -5*v = -x*n + 306, -7*v + 4*v = -6. Calculate the remainder when n is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -270229 * -0.1.\nAnswer: 27022.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63, -92, -147, -240, -383, -588, -867, -1232?\n\"Answer: -2*m**3 - m**2 - 12*m - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4865 divided by 3\nAnswer: 4865\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -1, -2128 in descending order.\nAnswer: 5, 1, -1, -2128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 5*v + 3*i, 4*i + 3 = -3*v + 6*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -740*n**2*s**3 - 2*n**2*s**2 - n**2*s - 277*n*s**3 - 90*n*s**2 wrt n?\nAnswer: -1480*s**3 - 4*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92742.09 millennia to years.\nAnswer: 92742090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 400*b**3 + 31*b?\nAnswer: 2400*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-2)**2*3.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6761, -13451, -20139, -26825, -33509, -40191, -46871?\nAnswer: -53549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293404 a multiple of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24674.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2260 (b) -0.19 (c) 84 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1311 = -13*v - 223. Let h = -114 - v. What is the remainder when 5 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1203*r - 21. Let i(n) = 120*n + 2. Determine 63*i(v) + 6*y(v).\nAnswer: 342*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50454 and 0.6.\nAnswer: -30272.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-13)*(-7)\/168*-12\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(100) + (sqrt(100)*-3 + sqrt(100) - sqrt(100))*-3))\/((sqrt(1200)*2)\/(sqrt(150)*1 - sqrt(6))).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, s: 3, x: 2}. Give prob of sequence ss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8033 - 7970. Solve a*y - 72*y = -45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 0 + (1 + 2 - 1)*(-5 + 0 + 3) - 2 + 0 + 0 - 1 + 2 + 0)*(38*a + 24*a + 5*a) + a - 2*a - 12*a to the form c*a + g and give c.\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) + ((-26)\/6 - 4). Is 20 a factor of (2 + 234\/(-12))*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109517, 217650, 325783, 433916?\nAnswer: 542049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4301 + -60279\/14. Calculate the common denominator of 69\/32 and a.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14128513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5751 at least as big as 5756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*f + 31 + 15 = 0, 3*p + 5*f + 53 = 0. Let y = p + 26. Solve 0 = 3*l + 2*l - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, g: 3, p: 5, h: 1}. What is prob of sequence pp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0442810305 to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhphhhhhhhhhhh?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 244\/17 greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*p + 17. Factor -p*q**4 - 72*q**5 - 10*q**2 - 17*q**4 + 67*q**5 - 25*q**3.\nAnswer: -5*q**2*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {n: 4, z: 3, f: 1, l: 1, p: 2, d: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -443870559*y**2 - 1648373*y - 39?\nAnswer: -887741118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**8\/672 - f**7\/420 + f**6\/240 + f**5\/120 - 7*f**2. Factor h(q).\nAnswer: -q**2*(q - 1)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 9*z**2 + 15*z + 20. Calculate the remainder when 169 is divided by c(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n - i = 26, 4*n + 3*i + 56 = 0. Find the common denominator of -43\/3 and ((-4)\/(-14))\/(2\/n).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 503*z**2 + 15 - 9 + 11*z. Let b be o(-2). Round b to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/((-14)\/16) + 1. Let z(y) = 5*y - 6. Let r be z(c). Suppose 2*g - r - 3 = 0. Calculate the highest common factor of 14 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 175729 = -4*i, -4*g = -4*i - 95154 - 139146. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*m = 17, -m = 7*b - 2*b + 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s**2 + 4*s + 2. Let j(w) = 8*w**2 + 11*w + 7. Suppose -11 = -0*l - l. Let z(n) = l*m(n) - 4*j(n). Calculate z(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 - -11) - -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, -15, -5, 22, -1 in increasing order.\nAnswer: -15, -5, -4, -1, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -22341.3 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psq when three letters picked without replacement from {s: 2, q: 1, z: 3, p: 1, b: 3, o: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8*(-12)\/160*-5. Let m(p) be the third derivative of -5\/4*p**4 - 14*p**2 + 0 + 0*p + 22\/3*p**t. What is the derivative of m(h) wrt h?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (60 - (-12 - -87)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, l: 1, e: 5, a: 2, d: 4}. Give prob of picking 2 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 6\/5 (b) -4 (c) 1 (d) 32\/67 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2040008 meters?\nAnswer: 204000800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2269*z - 6363 = -15111 + 2499 - 20979 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - -1*(-3 + 1). Let o = -56 + 61. Let u = 4 - 4.2. What is the nearest to h in 0.2, o, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96780040 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (7 - 3) - 35. Let z = 56 + b. Suppose z*f = 28*f - 8. Solve -5*h = -2*q - f*q + 4, 3*q = h + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 76. Let r(g) = -20*g. What is r(t(u))?\nAnswer: -20*u - 1520","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 15*n - 10*n - 2*n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -11. Let l(t) = 24*t**2 - t + 1. Is l(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 903 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.4 (b) -0.05 (c) -4 (d) 47\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/25, -3, -2\/11, 5\/19, 8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (19 + 6 - 10) + -9 - (15 + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Suppose h = -0*t - t. Let g be (0 - t)*(-2)\/4. Which is the nearest to -1? (a) 1 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3617*w = 2069 - 11369 - 5168 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/(-12) - (-6)\/9. Let q be ((-505)\/(-1))\/(c + -4). Is 4\/16*(q + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Suppose -26 = f*z - 65. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.96 - 5.89. Let q = -3.83 - m. Let x = 104\/3 + -35. What is the nearest to x in -1\/3, 4, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15758 divided by 7879\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1890)\/(-72))\/35)\/((-7)\/588).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -171, -172, -173, -174?\n\"Answer: -l - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/(-4))\/(2\/4). Let t be ((-8)\/(-20))\/((-2)\/(-40)). Let c = t + f. Put c, 0, 8 in increasing order.\nAnswer: c, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12 + (8 - 9774))\/(-2)?\nAnswer: 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 + -3a96a66?\nAnswer: -3a96a59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 plus 557?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(2\/(-5)*33\/22).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43150 - -43150.0017971. What is w rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.8 - 28.32. Let d = z + -4.48. What is the nearest to -4\/271 in 4, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let d(n) be the third derivative of -4*n**2 + 1\/120*n**6 - 1\/4*n**4 + 0*n**3 + 0 - 1\/30*n**5 + 0*n. Calculate d(i) + 6*o(i).\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47417 + 500*y**2 + 47417 - 282*y wrt y?\nAnswer: 1000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 5*i + 4*f, 32*i - 16 = 37*i - 2*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 22. What is the remainder when 49 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2\/4 + 930273*z\/4 + 100073685\/2 = 0. Calculate z.\nAnswer: -215, 310306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/((-765)\/(-54))*160\/6)\/(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 1515764a?\nAnswer: 15157652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1845 + 164208\/89. Let l = t - 122\/979. Which is the third biggest value? (a) -0.1 (b) l (c) -2\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*9\/63*14\/4. Suppose 4*b + q - 1023 = 0, -o*b + 287 = -2*q - 237. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 7*l**2 - 6*l + 7. What is b(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -24, 4, 11 in descending order.\nAnswer: 11, 4, 3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-536)\/134)\/(126\/6)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6214 - -3.6214. Sort 5, 4, i, 1796 in increasing order.\nAnswer: i, 4, 5, 1796","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 6*m**2 + 8*m - 5. Calculate g(-6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 9*b**2 + 27*b - 122. Give f(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*g + 8*g - 8*g)*(-1 + 0 - 6) + g - 4*g + 0*g to a + b*g and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0399225465 rounded to four dps?\nAnswer: -0.0399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(3\/2))\/((-10)\/45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566443817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (4 - (6 + -3)) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -10 - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f**2 - 3*f - 2. Let g = -1 - -5. What are the prime factors of o(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**2 - 13*u + 30 = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39491 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*v**2 - 292905*m**3*v + 28124*m**2*v**2 - 2*m**2*v + 2*m*v**2 - 2*v**2 wrt v.\nAnswer: 4*m**3 + 56248*m**2 + 4*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/60 - x**5\/60 - x**4\/8 + x**3\/3 - 13*x**2 + 2*x. Let y be j(1). Let m(r) = r + 2. Determine m(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04911 to three dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -16 - 39. Suppose -83 = -3*m + y. Suppose -5*r + 134 = -5*s + 34, 3*s + 76 = 4*r. What is the remainder when m is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59.49 + -0.19. What is a rounded to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (288\/42)\/(3\/21) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113\/(-904)*(-24)\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 57. Let y = -1\/517 + -6719\/1034. Which is bigger: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61923*i*s**5 - 2*i*s**3 - 223675*i*s**2 wrt s.\nAnswer: 3715380*i*s**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8887824.\nAnswer: 2, 3, 11, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 10 + 7)*((-2 - 2 + 8)*(-3*j + 3*j + 2*j) + 0 + 0 - j).\nAnswer: -70*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 4*t + 8, -3*t = -3*j - 2*j - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6670183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-15) + (-12)\/10. Suppose 2*j - 4*k + 2*k + 4 = 0, -j = -4*k + 11. What are the prime factors of j\/(h*(-2)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(6\/13)*q))**(-1) assuming q is positive.\nAnswer: q**(19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3\/10 (b) -4 (c) -2\/17 (d) 12843\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 26581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7456640 divided by 3904?\nAnswer: -1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68266 is divided by 34107.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/403?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6911.78 - -7139. Round y to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1435 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -477646?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2 - 84\/(-39). Let i = -0.7 - -0.5. Suppose -2*n = -3*n + 3. What is the third biggest value in n, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 52*v + 48. Let r(g) = -2*g**2. What is r(i(o))?\nAnswer: -5408*o**2 - 9984*o - 4608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g. Let b(l) = 417*l - 357. Let x(w) = w + 17. Let v(i) = 3*b(i) + 63*x(i). What is q(v(o))?\nAnswer: 2628*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b4 + -5?\nAnswer: -9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25826 + -15056. Calculate the greatest common factor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 11) to base 4\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88745654 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9 + (-1046)\/(-6). Suppose -2 = -3*i + 13. Suppose 11 = i*a - s. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 236 and 16.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 13 = 4*p - 12, -p = 4*z - 20. Solve 3*m = 5*v - m + 16, 0 = 2*v + z*m - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*d - 0, -2*t = 3*d + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3253, 3314, 3491, 3844, 4433, 5318, 6559?\n\"Answer: 10*u**3 - 2*u**2 - 3*u + 3248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 3*s + 1002. Let x = 902 - 381. Let h = s + x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*h**2 - h + 35*h**2 - 2 - 20*h**2 to c*h**2 + f + b*h and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*j - j - 12, -2*j = -4*y. Let x be 9\/j - (-2)\/4. Differentiate 127 + 2*b - 125 - x*b - 9*b**2 wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + y + 4*f + 2252, 5*f = -4*y + 2951. Suppose -y - 296 = -4*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 + 145\/10. What is the greatest common factor of d and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94 + 11 - (-54 - -26)) + -30.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 7*h - 28. Let f be u(3). Suppose f*i + 5*z = 22, 3*i + 5*z = -i + 34. Calculate the greatest common factor of i and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 34721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10201 (base 5) to base 7.\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/5 - (-24)\/5. Let i(l) = -2*l. Let r(x) = -13*x + 3. Let z(h) = -21*i(h) + 3*r(h). What is the remainder when 70 is divided by z(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 52 = -j. Let w = 57 - 23. Let p = j + w. Solve 0*m = -2*m - p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1328001301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 - -85. Sort 5, 1, c, 6.\nAnswer: c, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 30 = -0. Suppose 2*c + 6*f = 9*f + 18, u*c - 5*f - 25 = 0. Let x(z) = -z**2 + 16*z - 14. Give x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99837*y = -99688*y - 4321 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 9\/2*f**2 + 2*f + 5. What is the remainder when l(4) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2*q**4 - 82*h**2*q**2 - 2*h*q**4 - 325*h*q**3 + 32*q**2 wrt q.\nAnswer: 24*h**2*q - 48*h*q - 1950*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/(-126))\/(1\/(-7)). Sort -17, 4, j.\nAnswer: -17, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117922 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + -1*sqrt(200))*5 + sqrt(200) + -3)**2 - ((sqrt(72) + 1 - sqrt(2) - sqrt(2) - 2*(-2 + sqrt(2))) + -2).\nAnswer: -62*sqrt(2) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 661 and 110203903?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 449.92 minus 0.6053282?\nAnswer: 449.3146718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637776 = 55*a + 74*a. What are the prime factors of a?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36034*c*f**2*i + 192*c*i - 99*f**2*i + 3*f*i - 4*f - 371*i wrt f.\nAnswer: -72068*c*i - 198*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 216.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 410 and 41096555.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 11, 24.3 in decreasing order.\nAnswer: 24.3, 11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33948 and 44750844?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 1 (c) -1\/20 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4\/6 + 26*a**3\/9 - 16*a**2 + 24*a + 46. Determine q so that y(q) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -15 + 7 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 0*r**3 - 3*r**3)*(-2*r + 5*r - r - 2*r + 2*r + 5*r - 5*r + 4*r + 2*r + (2 + r - 2)*(0 + 0 + 2) - 8*r + 7*r - 2*r).\nAnswer: -14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + d**2 + 7*d - 2. Let w(a) = 2*a**3 - 2*a**2 - 8*a + 2. Let y = 13489 - 13485. What is y*w(q) + 5*r(q)?\nAnswer: -2*q**3 - 3*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j - 11650 = -23078 + 11698 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from mfmmffff.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 + 25*p + 2. Let x be c(0). Let t = 101\/15 + -19\/3. Factor 0*m**x - t*m**4 + 0 + 0*m**3 + 0*m.\nAnswer: -2*m**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 31. Let l(p) = -p**2 + 5*p**g - 3*p**2 - 5*p**2. Let o(v) = 2*v. Determine o(l(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vov when three letters picked without replacement from {g: 8, z: 3, o: 5, v: 2}.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4\/7 + 12208*r**3 + 912755532*r**2\/7 - 260823920*r + 912926450\/7 = 0.\nAnswer: -21365, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -526, -528, -530?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.925 + 429.975. Let f = d + -532. What is f rounded to 0 decimal places?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Solve 0 = -q + 5, i*q = -w - 4*w + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 592753?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 410 + -23?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16453865?\nAnswer: 5, 3290773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527585 times -47?\nAnswer: 71796495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019723311 rounded to 6 decimal places?\nAnswer: 0.019723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 - 1 + 19*m - 37*m + 7. Let t be j(-9). Is 451\/5 + 15\/t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, v: 4, r: 3, y: 5}. Give prob of picking 2 v.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3582 + 3588 - ((0 - 3) + 1 + 61)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -131?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 + 4)*10\/(-5 - -3). Suppose 4*t - 742 - 994 = -5*l, -5*l + 1740 = n*t. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311750 divided by -62350?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -29 - 6*y**2 + 44*y**2 - 7*y**2 + 35*y**2 - y. Let c(o) = -o. Determine r(c(n)).\nAnswer: -132*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from zzddeeodze?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 27*a + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24471\/16 + -1528. Is d > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 4 - 3 + 5. Let j be k(13). Let m = 31 + j. Calculate the remainder when m is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 11941.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d\/(d\/(d\/(d\/d**(-33\/4)))))\/d*d)\/d)\/(d\/(d*d\/(d*d*d**(5\/11)))) assuming d is positive.\nAnswer: d**(-427\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 170 = 2*b, -2*b + 3*x = -0*b - 163. Suppose 0 = 5*l + 4*r - b, -2*r = -5*l - 0*r + 71. Solve 5*n + 20 = 4*n - 5*u, 5*n - l = -2*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 37*m + 1302. Determine x(-59).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84087 plus -10562?\nAnswer: 73525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (345\/2 + 1)*(-51 + 57).\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**5\/10 - 3*z**4\/4 + 5*z**3\/6 - 2*z**2 - 2*z + 69. Let x(j) = j**3 + 4*j**2 - 2*j + 2. Calculate 3*w(f) + 7*x(f).\nAnswer: f**3 + f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/72 + (-310)\/450?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-5)\/50*2\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 12:02 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 234, 470, 1054, 1986?\n\"Answer: 174*k**2 - 286*k + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2428?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-9) - (-6)\/27. Suppose 5*h + j = -9, -6*h + j = -3*h - l. Let t = 0.33 - -0.17. What is the nearest to h in -0.1, t, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 3 - 3 + (4 - 2 - 1)*(b**2 - b**2 + b**2) + 0*b**2 + 6*b**2 + 2*b**2 - 10*b**2 - 6*b**2 - 3*b + 3*b.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*d + 1. Let w be 526\/((-3)\/(-30)*5). Suppose -d*j = -j - w. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1505)\/70)\/(-43)*-68\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -114717\/2207 greater than or equal to -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -1 + 2 + -2. Suppose w = -z*w. Suppose -4*f + 2*f + 4*x + 32 = w, 3*x + 21 = f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93a9 (base 14) in base 15?\nAnswer: -7808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2633534 (base 7) to base 13\nAnswer: -c0b3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-12 - -6 - (-1 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**3\/2 + 3*h**2 - 213*h. Let c(v) = -1. Give -4*c(d) - w(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6388781.\nAnswer: 7, 103, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-854)\/(-66) + 8\/132?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 9:53 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -34, -15, 8, 35, 66?\n\"Answer: 2*x**2 + 13*x - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 - 30*p**2 - 13*p + 23. Let s(i) = i**3 - 9*i**2 - 4*i + 7. Let c(h) = 13*s(h) - 4*v(h). Calculate c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 127\/3. Suppose -5 = 3*y + 10. Which is the closest to 0? (a) y (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030 a factor of 113688699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 6 + 13 = 0. What is the lowest common multiple of 8\/q - -91 - 2 and 90?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*r - 215, -2*r = -5*r + 15. Let z = -25 - k. Suppose 124 - z = 5*a - t, t = -a + 21. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 8*r**2 + r - 11. Let c be u(8). Let j be (-6)\/1 + (-2 - c). Let p = 0.1 + -0.6. Sort p, j, -2 in descending order.\nAnswer: p, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199280000 rounded to the nearest 1000000?\nAnswer: 199000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8633842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 4*g - 18*g - 7493 + 7685 = 0, -4*g + 60 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -287*k + 58. What is the units digit of c(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -20. What is the remainder when 65 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -15\/4. Let s = 4.74 + -4.74. Which is the second smallest value? (a) s (b) t (c) 0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 38\/(-12)) + -2*(-10)\/(-8).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o = 59 + 156 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -70000000 to the nearest 1000000.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4558.\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 2*z - z + (-2 + 0 + 4)*(-2*z - 2*z + 2*z) + z + 3*z - z + 3*z - 10*z + 2*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 558812390 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 10154460?\nAnswer: 10154452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 2*q. Let j be h(5). Let u be 6\/(-21) + 17\/j. Which is the third smallest value? (a) -2 (b) u (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111011111101010 (base 2) in base 16?\nAnswer: -677ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -653 times -1.1277\nAnswer: 736.3881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419 is divided by 204.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-285)\/6)\/((-2320)\/1856).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 464802 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11690*b - 205676 - 86574 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45588960 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 w(c) = 44*c**3 - 28*c**2 - 28*c - 28. Let g(u) = -8*u**3 + 5*u**2 + 5*u + 5. Suppose 0 = -0*d - d - 5. Give d*w(k) - 28*g(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*1 + sqrt(98) - -2*sqrt(2)*-3)*-5.\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*k - 1236*k - 2953*k - 1828*k + 1207*k - 1766*k.\nAnswer: -5949*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-84)\/54*(-18)\/(-21). Let n be -3*1*(-24)\/9. Let d = 13 - n. Solve 45 = 5*h + u*s, -h - 4*h - d*s = -50 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/117 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-423)\/376)\/((-18)\/8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*t + (-3 + 3 - 2*t)*(-3 - 3 + 4) - t - 2*t + 5*t + 4*t + 0*t - 5*t)*(4 + 0 - 1)*(-28 - 63 - 16) to b*t + z and give b.\nAnswer: -2247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847 + 141 = 179*p + 368. Let f(n) = 8*n + 8. Let i(w) = -w - 1. Let o(z) = -2*f(z) - 10*i(z). Determine o(p).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -32410?\nAnswer: -32400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7836961 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, j: 3, f: 8}. Give prob of sequence ff.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 646 divided by -323.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-52)\/(-2964)*-19 + (1 - 168724\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 146*t**2 - 2 - 20*t**5 + 483*t**2 + 163*t**4 + 94 - 484*t**3 - 12 - 324*t - 44 = 0. Calculate t.\nAnswer: 3\/20, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 0*n - 10*n + 4*n + 1 + 7*n. Let o be l(9). Find the second derivative of 474*s**3 + o*s**4 - 474*s**3 - 5*s wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/18 and (-9)\/3 + 110\/16.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -1\/4 (c) 9 (d) 2124 (e) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b + 155. Let v(q) = -q - 2. Let y(z) = s(z) - 5*v(z). What is the remainder when y(35) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 1)*(-5*q + 5*q + 2*q)*(-384085 + 191863 + 191494 + 2*q) as v + h*q**2 + l*q and give l.\nAnswer: 2912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -24*d + 7. Suppose 2*u + 0 = -2. Let j(w) = -6*w**2 - w. Let q be j(u). Is z(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 5*p**2 + 5*p - 1. What is c(-7)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/59 in 0.033, -3, 2?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 18 = -3*g, -g + d = 2*d - 2. Let r(w) be the second derivative of 5\/28*w**4 - 27\/14*w**2 - 5*w + 3\/14*w**3 + 0 + 3\/140*w**g. Factor r(z).\nAnswer: 3*(z - 1)*(z + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*-4)\/sqrt(6).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 12 = -3*m. Suppose d + 33 = 2*i, 0 = -m*d + 7*d + 3. Suppose -4*n + 4 = -i, -4*y + n = -47. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0252 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.8872 milligrams to micrograms.\nAnswer: 163887.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 + 3*r**2 - 75551*r + 37748*r + 8*r**2 + 37804*r.\nAnswer: 20*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + (-1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i. Let z(d) = -34*d - 3. Give z(u(h)).\nAnswer: 170*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/635 + 617\/5715. Find the common denominator of -145\/72 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmm when three letters picked without replacement from {v: 2, r: 12, m: 3}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 3\/8, 115?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeywwyppwupw. What is prob of picking 1 p and 1 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 3, 18, 53, 114?\n\"Answer: v**3 + v**2 - 9*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (38 + 11) - -17) + 3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 56543643*l\/4 - 14135911\/4.\nAnswer: (l - 14135911)*(4*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 16 = 2*o, 4*o - 92*m + 122 = -58*m - 60*m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.28829ns in hours?\nAnswer: 0.000000000019524525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 6*a**2 + 2*a - 2. Calculate c(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17612735.\nAnswer: 5, 7, 107, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 4. Let k(y) = -y - 2. Let z be k(-4). Which is greater: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1170 - -1173. Let h(k) be the first derivative of -k**3 + 4*k**2 + k - 1. Let g be h(l). Are g and -2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y - 89. Let s be i(-6). Is 5 + (s - -6) - (-1562)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 201321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21221 (base 3) to base 16\nAnswer: d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - 3334 + 3334 + (-4*i - i + 3*i)*(4*i + 2*i - 7*i) - 2*i**2 + 5*i**2 - i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-210))\/((744\/42)\/4).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 9*i**2 - 11*i - 17. Suppose -3*o - 33 = -3*t, o = -5*t + 6 + 1. Give f(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66030322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 19*m**2 - 18*m + 4. Calculate the remainder when l(-18) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Suppose -m - u = 0, -k*m + 30 = m - 2*u. Let c = -199 + 202. Solve -c*z + 5*s = -19 - 12, -m*z = 2*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12984.837 - -13234.1. Let a = x - 246.96318. Let d = a - 2.3. What is d rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -2*n - 6*j + j, -2*j + 26 = -n. Let f = n - -55. Let k = 26 - f. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900086 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 117.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10459380767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 186224.91s?\nAnswer: 3103.7485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1034 - 117 + 3*z**2 - 2*z**2 + 8 + 8*z.\nAnswer: z**2 + 8*z + 925","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 150*p - 2*p**2 + 147*p - 443*p + 146*p. Let j(c) = -c + 1. Let f(y) = -12*y + 15. Let l(m) = -3*f(m) + 45*j(m). Calculate v(l(b)).\nAnswer: -162*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -9) + (111 - 104)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 7033.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10*-1*10\/(-75)*(-255)\/(-510)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*u, u + 382 = 2*f - 4*u. Let k = f - 174. Solve 4*x + 2 = -2*y + 8, -3*x + 4*y = k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58924227 to the power of 1\/2, to the nearest integer?\nAnswer: 7676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 12*v + 13. Suppose 3*p = 19 + 20. Let d be g(p). Suppose s = l - 6*l - 8, d = -5*l + s - 12. What is the closest to 1 in l, 0.4, -3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 11. Let r be ((-92)\/y)\/(2\/6). Let l be r*(-2)\/(-8)*2. What is the highest common divisor of l and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14928260 is divided by 87?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2878 + -146783\/51. Calculate the common denominator of c and -73\/9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*-0.103.\nAnswer: -0.02987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-8 - -15) + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -812 + 817 + (1 - (-1 + 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 141.19 and 1578110.\nAnswer: 1578251.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1023*b**2 + 41974*b**2 + 1 + b - 6*b + 2*b + 4*b.\nAnswer: 40951*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 - -137. Suppose q*i - 247 = -i. Calculate the highest common divisor of 209 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*(18\/1 - (241 - 238) - 14)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 3, -1831 in decreasing order.\nAnswer: 3, 0, -3, -1831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 12*w**2 - 2*w - 105. Let x be m(-7). Let b be -1 - (110 + 2\/2). Let u be ((-32)\/b)\/((-1)\/x). Sort 2, -2\/7, -1, u in decreasing order.\nAnswer: 2, -2\/7, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytytettytettyyyet. What is prob of picking 1 e, 2 y, and 1 t?\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-60)*-14*(-6)\/14?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 - 2*c**3 - 3*c**2 - 23 - 2*c**3 + 25 to f + k*c + v*c**3 + h*c**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100113?\nAnswer: 3, 13, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkbkkkkkkk. Give prob of sequence kb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 5\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1.502. Let p = 9.5 + -9. Let k = o - p. Round k to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 647, 655, 665, 677, 691, 707, 725?\n\"Answer: j**2 + 5*j + 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -69*a**2 + 3*a - 104. Let g(h) = 26*h**2 - h + 35. Give -8*g(l) - 3*t(l).\nAnswer: -l**2 - l + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-273)\/42*(-20)\/13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, s: 1, z: 3, o: 1}. What is prob of picking 1 r, 1 s, and 1 z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 10\/11, 2, 28\/9, 5, -0.5 in increasing order.\nAnswer: -0.5, 0.5, 10\/11, 2, 28\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(175)*-3 - sqrt(175))\/(sqrt(63)*-2))\/((-4*sqrt(55)*2)\/(sqrt(44)\/sqrt(36))).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 9331605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 338 + -227. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -3, 73, -6 in decreasing order.\nAnswer: 73, -3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246305024 + -2.\nAnswer: -246305026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1827767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -13089b?\nAnswer: 130898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 590589*a**3 - 1709*a + 95 wrt a.\nAnswer: 3543534*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*u**2 + 12*u - 5 - 36*u**2 + 15*u**2 to m*u + n + k*u**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -8. Let d = q - -2. Let s = 2780 + -2780.3. Which is the nearest to d? (a) -4\/3 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.9 (b) -2\/5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(114)\/(-2*sqrt(24)\/sqrt(4))*-6)**2.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 102, 222, 330, 420, 486?\n\"Answer: -t**3 + 127*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9633*a**3*z**2 + a**3 + 1391*a**2*z**2 + 40477*a - 30 wrt z?\nAnswer: -19266*a**3*z + 2782*a**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + 80 - 43 + w - 41. Suppose -2*l = -3 - 9. Suppose 4*n = n + 5*a - l, 2*n - 3*a = -5. Give x(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(26)*-2 + sqrt(1664) + (sqrt(1664) - sqrt(1664)*-1))\/(sqrt(24)\/(-4*2*sqrt(12))))**2.\nAnswer: 402688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 379, 2\/11, -0.036, -0.5, -2, 17?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 - (0 + -1))) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/5)*q)\/q*(q**(1\/5)\/q*q)\/q*q*(q**0)**(-9\/5) assuming q is positive.\nAnswer: q**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 4*z**4 - z**4 + (z**2 - 2*z**2 - 2*z**2)*(-2*z**2 + 0*z + 0*z) + 2*z**4 + z**3 + 2 - z**3.\nAnswer: 5*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 746*o**2 - o - 2. Is y(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5450 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 1\/6*n**3 - n - 5\/12*n**4 - 1\/20*n**5 + 0 - 3\/2*n**2. Give v(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 4*k + 8. Let c be j(5). Solve 2*v - 14 = 4*r, -2*r + 2 - 19 = -c*v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -463 + 469. Suppose -4*m + 20 = 3*n, 20 = -0*n + 5*n. Let i be h\/m + (-100)\/36. What is the nearest to i in 4, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010159195046 to 5 dps.\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 2*p - 0, 6 = 5*p + 4*y. Let x(d) = -2*d**3 + d**2. Let a be x(p). Let j = -11 - a. What is the biggest value in 0, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 + 26 + 1183\/26 + -21\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90212426 bigger than 90212427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19554131251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*r + 55 = 0, k + k - r = 19. Let g = k + -6. What is the greatest common factor of 9 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - h + 41. Let y be p(6). Let o be (-1)\/y + ((-90)\/(-39))\/(-2). Which is the second smallest value? (a) o (b) 35 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07565 + 0.03724. What is z rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {r: 1, m: 5, l: 7, o: 6}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21429431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9 + 3 = 0. Suppose 0 = -c*d - 0*d. Let n be d + 0 - 0 - 600000. What is n rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -148.25 (c) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/16*36\/189*-4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -84 (b) 14 (c) 0.3 (d) -0.1 (e) -0.8 (f) 4 (g) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**20)**28*b**(-2\/29)*b**(-6\/17) assuming b is positive.\nAnswer: b**(275872\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + (0 - (-1 + 2)). Let r(m) = m**2 + 3*m + 8. Let u be r(b). Suppose 0*k + 2*k - u = 0. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5, 2*k = -2*r - k - 33. Let t = 17 + r. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 47*b - 85*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72319*m + 36425*m + 35896*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -601 or -589?\nAnswer: -589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 13*u**5\/60 + u**4\/4 + 15*u**2\/2 + 2. Let c(g) be the second derivative of v(g). What is the second derivative of c(a) wrt a?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9846, -19720, -29624, -39558, -49522?\n\"Answer: -15*b**2 - 9829*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 8, 4, -586, -6, 0 in decreasing order.\nAnswer: 8, 4, 3, 0, -2, -6, -586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -329*h**4\/12 + h**3\/3 - 514*h**2 - 171*h. What is the derivative of g(d) wrt d?\nAnswer: -658*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3 (c) 0.2 (d) -0.5 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(1331)*-3 + -1 + 1).\nAnswer: -660*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 135\/1111, 0, -0.3, 3?\nAnswer: 135\/1111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32b33a (base 12) in base 13?\nAnswer: 2236ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -51, 0, 3\/5, -3\/47, 0.5?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 990.5188nm in centimeters?\nAnswer: 0.00009905188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 267\/163, -2\/11 in increasing order.\nAnswer: -5, -2\/11, 267\/163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/20)\/(12\/(-16)). Let q = -0.041 + 2.741. Let j = q - 2. Which is the smallest value? (a) t (b) j (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(18\/21*(-1862)\/(-42))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 97, 4, -139, -350, -647, -1048, -1571?\nAnswer: -2234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(136))\/sqrt(8).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7764 and 639018608.\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 - -30. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(192\/40)*9\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -412 * -775.2.\nAnswer: 319382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evveyvylqe. What is prob of picking 3 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 10*k + 3. Let c be z(10). Let v(s) = 5*s**3 + 2*s**3 - 5*s**c. Let p(t) = -4*t**3. Let r = 7 - 13. Determine r*p(a) - 11*v(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127 a factor of 1683298100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10001538 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + -0.3. Suppose 3*i + 3*o + 13 = 2*i, 117 = -4*i + o. Let d = 22 + i. Which is the smallest value? (a) d (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (40 - 31) + -33?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9383567us to minutes.\nAnswer: 0.000000032305945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*q - q. Suppose -3*c + 27 = -q. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 183160 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = 6*j - 3*j. Is 27 a factor of 107 + -51 + (-2 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*y**2 - 24 + 0*y + 4*y + 143*y**2 + 0*y - 74*y**2 wrt y?\nAnswer: 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) + 182\/78?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/3)\/((i\/(i\/(i*i*i\/i**(-7\/8)*i)))\/i) assuming i is positive.\nAnswer: i**(-61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*k**2 - 315*k**2 + 57*k**2 + 194*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2535*n**5 - 2545*n**4 - 20250*n**3 + 20300*n**2 + 40440*n - 40480 = 0.\nAnswer: -2, -1012\/507, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i + 9. Let x(t) = -i + 3*t + 4 + 0*t + 4. Let u(z) = -1. Let w be -2*(-3)\/6 + -2. Determine w*x(a) - 3*u(a).\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-258661)\/(-404) - ((-3)\/4 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*o + 248 = -62 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 16 - 2. Let s(g) be the first derivative of -5*g + 11*g + q*g - g**2 - 5*g + 1. Determine s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00549194626 to four decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.011403012 + 0.0114. What is i rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -318, -1, 6, 4, 3 in decreasing order.\nAnswer: 6, 4, 3, 0, -1, -2, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612))*-1 - (sqrt(272) + 1 + ((sqrt(187)*1)\/sqrt(11))**2).\nAnswer: -10*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.2097 rounded to one decimal place?\nAnswer: -91.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 9624.\nAnswer: 28872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -2\/5, 39?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (218\/4 + 1)\/(3\/8). Let d = o + -445\/3. Let g = -1382\/15 - -92. What is the nearest to -1 in g, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30333.3123582 - -8232.5381461. Let w = s - 38592.8505. Let b = w - -27. What is b rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27\/8 in 5\/4, -0.006, 8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 133768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2709 + -1783. Let y = -725.2 + l. Let q = -219 + y. What is q rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 15.8, -147, -5 in descending order.\nAnswer: 15.8, -2\/5, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yviv when four letters picked without replacement from iiyiyivvyyiyyyi.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (340\/(-17))\/(-120)*(-60)\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-7160)\/153940)?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 7*s - 429. Let g = 6 + s. Suppose 0 = -3*x + 2*x + g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 39 + 279. Suppose 7*d + 3*l = 3*d + j, d = l + 11. Suppose -5*q + d*c - 7*c = -65, 2*q - c - 25 = 0. Is q at most 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 - 4195*i**2 - 54596*i + 176372\/3.\nAnswer: (i - 12598)*(i - 1)*(i + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 6*a**3 - 6*a**3 - 7.\nAnswer: -15*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0988866 kilograms?\nAnswer: 98886600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -162 or -161?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 n when four letters picked without replacement from {n: 17, c: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 7, 2\/7 in increasing order.\nAnswer: -4\/5, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2747233204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/6*24\/(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -34*w + 1. Let y(z) = -34*z. Let m(u) = -5*g(u) + 6*y(u). Is m(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2247*d + 38265. Give o(17).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1. Let o(b) = -94*b - 20 - 92*b - 92*b + 368*b - 88*b. Calculate -o(f) + 5*y(f).\nAnswer: -2*f + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-3)*15\/(-5). Suppose 4*d - 46 = g. Suppose 2*x - x - d = 0. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*m - 9 = 3*l + 102*m, 0 = -m + 2*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 20 = 2*t, 5*t + 19 = 5*v - 16. Let i be 2\/(-4) - (-5)\/(-2). Let x be 0 - -1 - (-7 + 5). Put i, t, x in increasing order.\nAnswer: t, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - c + 809 - 127, 5*c + 922 = -4*q. Let h be 40\/q*(0 + -6). Is -2\/7 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -64, -136, -236, -364, -520?\n\"Answer: -14*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 9. Is 12 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8792 and 50104?\nAnswer: 55064296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 + 4*v**2 - 2*v**2)*(-45*v - 9 + 23*v + 25*v) to h*v**3 + s + k*v + l*v**2 and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyllgyggymgx. What is prob of picking 1 y and 1 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10*r**3 - r - 2. Give p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -67*s**3 - 4*s**2 - 10. Let b be l(-3). Let x = -1176 + b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:31 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*k = -4*r + 5047, 0 = 3*r - 2*k - 5059. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47152, -47138, -47124, -47110?\nAnswer: -47096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -12, 5, -2\/3 in descending order.\nAnswer: 5, 4, 3, -2\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10267 - -10276. What is the remainder when 3209 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 11:43 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 9:55 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 205*d - 10283. What is c(-117)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 - u + 4. Suppose -4*f + 10 = -2*f. Let r be d(f). What is the closest to r in 1, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6 and 16\/21058923.\nAnswer: 42117846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -763 + 767. Solve z + 13 = u*h, z - 6 = -z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1149 - -344701\/300. Let a(n) be the third derivative of 0*n + x*n**5 + n**2 + 0 - 1\/15*n**3 - 1\/120*n**4. Solve a(p) = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 + 210*t - 3 - 3*t**2 + 5 + 1 + 9*t**2 to the form y + c*t**2 + d*t and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.31747 microseconds in milliseconds?\nAnswer: 0.01931747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -13 (b) -5 (c) -11 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 11. Let k(l) = 3*l. Give b(k(g)).\nAnswer: -9*g + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 5)*(5548992\/480)\/((-16)\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighteen fifths of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 144311144 (base 5) to base 13\nAnswer: 21216b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/49, 0.2, -22\/19, 2\/15, 2\/3, -0.4, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6 = 3*x, 5*m + 0*x = -2*x + 10. Suppose 2*d + 2*g - 413 = -g, 4*g = -m*d + 410. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**2 - n - 7*n**2 - 1 - 5. Let z be (3 - 3)*(41\/3 - 14). Calculate o(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 + 2 = 0. Suppose -3*b = 4*c - 128, -k*b = -5*c + 3*b + 195. Let n = 53 - c. Calculate the smallest common multiple of 8 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 - 3*p - 5. Let z be x(-2). Let n(w) = -3*w + 13. Let j(s) = s**2 - 5*s - 6. What is the lowest common multiple of j(-3) and n(z)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011022200 + -20?\nAnswer: -11011022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhxh when four letters picked without replacement from {v: 2, x: 1, y: 5, w: 6, h: 3}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**4\/6 - 7670*p**3\/3 + 3329845*p**2\/2 - 885572710*p\/3 - 18681926890\/3 = 0 for p.\nAnswer: -19, 418, 2251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -30?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a + -6?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/2)\/c**(5\/6)*c**(-2)*c*c**3 assuming c is positive.\nAnswer: c**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -21*s**3 + 2*s**2 - 4*s - 9. Does 16 divide i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3 + 2.6. Let d = 1.7 - 2. Let h = d + 1.3. Which is bigger: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -80. What is the derivative of -z - 228*r + 33 + 214*r wrt r?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 413 + -417. Sort -46\/5, i, -1 in descending order.\nAnswer: -1, i, -46\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 170.18 - 170. Let y = g + -0.38. What is the nearest to -3 in y, 0.4, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 530, 9 in ascending order.\nAnswer: -107, 9, 530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 23 = -37. Let r = w - -9. Let q(c) = -9*c**2 - 5. Let o(v) = -5*v**2 - 3. Let j(a) = r*q(a) + 5*o(a). Let t(m) = 3*m. Calculate t(j(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 1 = -12*v. Solve -v*w + 3*m = -28, -19 = 4*m - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*c - 3*l, 2*c - 1 = l + 2. Let o be ((-6)\/(-8) + 0)*1. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/120 - g**5\/10 + g**4\/8 - 13*g**3\/6 - 2*g**2. Let o be n(6). Solve 2*c + 3*h + 2 + 1 = 0, -o*h = -5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6)*(-8)\/20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*d = -217*d - 8. Factor 0 - 1\/5*l**d + 0*l.\nAnswer: -l**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-18) + 130\/45. Suppose i*b = -3*r + 45, 2*b + 21 = r + 6. Calculate the greatest common factor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {q: 2, m: 2, s: 1, c: 3, w: 2, h: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 177290150 divided by 35458030\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237035.\nAnswer: 5, 47407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/120 - 13*y**5\/15 + y**4\/8 + 85*y**3\/6 + 2*y**2 - 182*y. What is the second derivative of i(m) wrt m?\nAnswer: 6*m - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7334 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860.3131 grams to micrograms.\nAnswer: 860313100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*w - 8 + 2, -2*w = 2*s. Solve -s*l = -5*r + 3, 5*r = 6*l - 10*l + 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 z when three letters picked without replacement from {a: 4, b: 2, d: 1, z: 9}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4340)\/(-1))\/7 + (6 - 2). Suppose j = 105*u - 93*u. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000190137 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-16))\/(5\/20). Suppose l - j - 1 = 0. Solve -l = o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + -4 - (2 - -6). Let v = -77 + 25. Let u = 50 + v. Put u, 0, p in increasing order.\nAnswer: p, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5043 = 150*a - 147*a. Let u = a - 879. List the prime factors of u.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.9164 * 0.2\nAnswer: -1.18328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194 - 192.18. Let o = 0.92 - l. What is the closest to -0.1 in -3, 2\/13, o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (15 + (-6 - (-4 + 0)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*y + 59 - 59)*(-6 + 2 + 2) + (-2 + 2 + 1)*(-7*y + 3*y + 3*y) - 3 + 3 - 2*y - 4*y + 4*y - 2*y + (-y + y + y)*(1 + 0 + 1) + 2*y + 2*y + 8*y.\nAnswer: 87*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2 - 7) + 27 + -14 - 27?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -298, -585, -848, -1087, -1302, -1493?\n\"Answer: 12*j**2 - 323*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38812*c**2 - 38812*c**2 + 153088*c**2 - 38807*c**2 - 36658*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 2*a + 1. Let u(c) = c - 1. Suppose 189*o - 553*o = -364. Determine o*l(f) - u(f).\nAnswer: f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 9238 - 12322. Let a = 12921 - i. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -0.4, 1\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463127740 to the power of 1\/2, to the nearest integer?\nAnswer: 38251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233397869 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 2*l**2 + 6*l - 3. Is w(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 - -231?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924182 a multiple of 550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 438*l - 2593. Let u be y(-6). Put -4, 6, u, 5, 1 in increasing order.\nAnswer: -4, u, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k + 3*k + 5 + k**2 - 4*k + 0*k. Calculate g(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5929 * 29.\nAnswer: 17.1941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.16 (c) -2 (d) 2\/13 (e) 2\/29 (f) 1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41 and 5822.\nAnswer: 5822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h*j*l**2*w**2 + 6*h*j*l**2 - h*j*w - 2*h*l**2 + 3*j*l - j*w**2 - j*w wrt w.\nAnswer: 6*h*j*l**2*w - h*j - 2*j*w - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/(-10))\/(-11 - (-5404)\/490). Is -193 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4702573*t**3 + 3412977*t**2.\nAnswer: 28215438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*-6 + 1*sqrt(153)*-6 + sqrt(153))\/(-2*(-3*sqrt(900) + sqrt(900))).\nAnswer: -17*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 22*j + 5. Is n(3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210749583 to the power of 1\/3, to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from kkkgkkgkkgkkkk.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g - 5. Let u be -3 - (3 + -1) - 2. Let w be k(u). Let i = w - 2. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1765*n**4*w - 85*n**3*w**3 + 3*n**2*w - 168185*w**3 wrt n?\nAnswer: 42360*n*w - 510*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 1:18 PM?\nAnswer: 537","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 837 and 1116?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5610.\nAnswer: 2, 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 + -127. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32381265 greater than 32381266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2963*p**2 - 6*p - 2963*p**2 - 2 + 82*p**4 wrt p?\nAnswer: 984*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18208 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {b: 5, h: 6, s: 1, e: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l**0\/l*l)**(1\/21))**(-4\/7)*((l\/(l\/l**(-2\/15)))\/(l\/(l*(l*l**(-2\/9))\/l)*l))\/(l**(-2\/3)\/l**6) assuming l is positive.\nAnswer: l**(11531\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7)*r**(-3\/2)*r**(-18)*r*r**(-1\/20))**(2\/83) assuming r is positive.\nAnswer: r**(-2637\/5810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 84.37. Let x = -0.03 + r. Let m = 42 - 37. Which is the closest to -0.1? (a) -4 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -656 = -1111*c + 1070*c. Calculate the remainder when (-1 - -2)*(-2 - -39) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*k - 22. Let g = -4 + k. Is g - (-28)\/8*142 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 24*z = 0. Put 5, z, 20 in decreasing order.\nAnswer: 20, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*p - 17, -3*p = -0*p + k + 8. Let o be (-2)\/6 + 55\/99. What is the closest to p in -6, o, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11434\/8 + 21\/28. Suppose 4*w - m = -w. Suppose 2*n + 116 - w = 0. Calculate the remainder when n is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**4 + 4*n**3 + 29*n**2 + 7*n - 1. Let l(u) = -u**4 + u**3 + u. Let y(z) = d(z) - 4*l(z). What is the second derivative of y(r) wrt r?\nAnswer: -24*r**2 + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80821848287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9 = -4*y, 2*n - 2*y - 22 = 6*n. Let j be n\/21 - (-7)\/3. What is the second derivative of 5*k - 19*k**j - 4*k**5 + 19*k**2 wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -17*b**2. Let q(h) be the first derivative of -h**2\/2 + 13. Determine q(i(w)).\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -0.3055?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/9, 0.129, 0, -0.4 in decreasing order.\nAnswer: 0.129, 0, -0.4, -16\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 7:37 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1797 + 1790. Let t(l) = 37*l**3 + 7*l**2 + 3*l + 7. Let a(d) = -12*d**3 - 2*d**2 - d - 2. Give j*a(p) - 2*t(p).\nAnswer: 10*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = m - 13, -31*m = -26*m - 4*i - 54. Calculate the lowest common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28070927243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -275*f + 1. Suppose 4*o - 5 - 7 = 4*q, 3*q + 8 = 4*o. Let s be a(o). Suppose 5*j = j + s. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 26*z**3 + 3*z**2 - 4*z - 11. Let p be l(-4). Is (8\/12)\/((-6)\/p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14139995 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389 - 2*g**2 - 389.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 1:21 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/110 and -19\/121.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168584340 by 42146085.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/7758156 and -169\/31032624.\nAnswer: 31032624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 67.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 16) + -23 + 33.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-30 - -30) + 44\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -63651 >= -63650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0*u + 0 - 2\/3*u**3 - 2*u**2 + 1\/12*u**4. Find the first derivative of o(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 6 = 4*i - 2*t, -7664*t + 7666*t - 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221644131.\nAnswer: 3, 73881377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5679*u + 34082. Calculate i(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Suppose h*d - 4*d = -8. Calculate the smallest common multiple of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198 - -194. Let p(c) = 33*c**2 + 2*c + 20. What are the prime factors of p(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 2*d**3\/3 - d**2 - 2*d - 1. Suppose -2*s - 5 - 3 = 3*k, s = -4*k - 9. Let u(t) = -t - 1. Give k*u(y) + o(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/43 (b) 2 (c) -131 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/14*(-1 - 19\/(-15)). Which is the nearest to o? (a) 0.2 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 3*o**2 + 4*o**2)*(-7*o + o + 3*o)*(-4 - 5 + 5)*(2 + 4*o**2 + 0 - 2*o + o).\nAnswer: -48*o**5 + 12*o**4 - 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 76*v**2 + 192*v.\nAnswer: 4*v*(v + 3)*(v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 703*c + 4949. Give b(-7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 2)\/((-382)\/1528)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 107 - 39*n**2 + 28*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 1308*h**2 + 6624*h + 5312.\nAnswer: -4*(h - 332)*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - k**2 + k + 1. Let f(s) = 17*s**3 + 4*s**2 - 3*s - 3. Determine -2*f(h) - 6*t(h).\nAnswer: -40*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v. Let s(r) = -27*r. Determine s(q) + 18*w(q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 25*d**3 + 10*d**2 + 6. Let v(x) = -26*x**3 - 10*x**2 - 7. Give -6*v(i) - 7*z(i).\nAnswer: -19*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/21)*y\/(y\/((y\/y**(-10))\/y)))\/((y\/(y*y*y**36))\/y**(-27)) assuming y is positive.\nAnswer: y**(424\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 60. Give x(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 609*r**2 - 123627*r - 8365427.\nAnswer: -(r + 203)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 122420?\nAnswer: 1346620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezrrezrrrrzrrrrrrrrr. What is prob of picking 2 r?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 76.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*l = -35, -14 - 2 = 4*l. What is the second smallest value in 0.1, -1\/3, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200302 + -2?\nAnswer: -200304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/24 and (4 - (-76)\/(-72)) + (3 - -1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4578752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41087 is divided by 20509.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 11 - 15)*(1 - 2*f - 1) to t*f + p and give t.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -3265850.7.\nAnswer: 35924357.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 295\/(-118)*(-1)\/((-70)\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-6 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2900895 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-138)\/(-72))\/((-2)\/526). Let x = -25\/4 + d. Let p = 2\/2593 - -85555\/18151. Calculate the common denominator of x and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10648\/25 - 426. Let v be ((-102)\/27 + 4)\/((-90)\/135). What is the closest to v in -2, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.656 + 0.21. Let d = -14.974 + 15. Let z = d - v. What is z rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -87. Suppose d - 2*k + 7*k + 17 = 0, -k = -4*d + m. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27569.6 - 27573.6. Let d(x) = -x - 4. Let g be d(-6). Let f be 7\/2*-1*g. Which is the closest to -2\/3? (a) f (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 6*c + 2*c to the form q + u*c and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 597*b - 602*b - 8 + 0. What is w(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -9, 34.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120 + -5?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 11*n + 3)*(0*n + n + 3*n).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 0.252044.\nAnswer: -0.052044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220212022 - -22?\nAnswer: -220212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*l - 1484, 138 = 4*k + l - 1858. Let f = k - 485. What is the remainder when 72 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1265617 + 1265617 + 5899*l)*(0 + 0 - l).\nAnswer: -5899*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.629 - -0.129. Let w = -38.4 - h. Which is the closest to w? (a) -3 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3635*l + 23374 = -2881*l for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**4\/8 + 2*t**3\/3 + 14*t**2 - 135*t - 2. Let r = -6 + 9. Calculate f(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + w)*(1064 - 6984 + 11851).\nAnswer: 5931*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -117\/5? (a) 2 (b) 3 (c) -0.2 (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0 + 17\/2*f**2 + 17*f - 11\/6*f**3. What is the tens digit of o(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 10 = 2*j. Let p be (2\/(-3))\/(j\/15). Suppose 32 = n - p. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -18*j + 108. What is u(12)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306200579 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2965*i - 2890. List the prime factors of n(10).\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27182 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-246)\/171 - (-64)\/48. Let w = -0.7 + 0.2. What is the nearest to v in 0, w, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1023948 = -1023948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 26 (b) 1\/3 (c) -4\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -213, -320, -427?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-27))\/m)**(-7\/5) assuming m is positive.\nAnswer: m**(-189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -211*z - 1483. Calculate t(-6).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041 a factor of 15240147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -d - 4*y, -2*d + y = -12. Let u = 2\/85 - 93\/340. What is the closest to 2\/9 in u, d, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = l - 0*l. Suppose 0 = 2*r - l + 59. Let s = -14 - r. Calculate the greatest common divisor of s and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2844 and 553?\nAnswer: 19908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/((-108)\/(-4))*(165\/12)\/(-5)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*v**2 - 46 + 46 to the form m*v + l + t*v**2 and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*i**5 + 131*i**5 + 63*i + 4*i**2 - 13*i - i**3 - 12*i**4 + 24*i**5 wrt i.\nAnswer: 10800*i**2 - 288*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 523.9 - 510. What is l rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3005\/(-601))\/((-50)\/(-44)))\/(2\/(-10))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 2404?\nAnswer: -28848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i + 74. Let g be h(-6). Solve -3*y - g*t + t = 5, -y + 5*t = 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -938.8834 and 1.\nAnswer: -938.8834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:05 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*i - 15. Let s = -53366 + 53373. Calculate the lowest common multiple of s and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(4\/5))\/(i*i**(-1\/20)))\/(i**(4\/3))**(-37) assuming i is positive.\nAnswer: i**(583\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 640403299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, f: 4, p: 2}. Give prob of picking 1 f and 1 h.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 7*l**2 + 4*l - 32. Let x be m(-8). Suppose -93 = -2*c - 2*o + 157, x = 4*c - o - 510. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from spwgw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1254 - 1253.9. Sort 1, v, -1, -3\/7 in descending order.\nAnswer: 1, v, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 1, -0.3, -0.17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 10:20 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 26. Determine a(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636579464?\nAnswer: 2, 23, 29, 119299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/4)\/(40\/32). Solve -2*r = -3*r + z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10*(-8120)\/(-203). Let f = -2 + 6. What is the greatest common factor of f and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-3))\/(44\/(-6))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (112\/156)\/1 - 1. Let h = f - -161\/156. Factor 3\/2*m + h*m**2 + 0.\nAnswer: 3*m*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 66*l**3 + 686*l + 29 - 684*l in the form w*l + x*l**3 + p + i*l**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 < -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -13 (b) -6 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9372100 to the nearest one hundred thousand.\nAnswer: -9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42382800 divided by -105957.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 5*p + 10, -4*p - 47*x = -20*x + 70 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 399*j**4\/4 - 2385*j**3\/8 + 2367*j**2\/8 - 771*j\/8 - 9\/8 = 0. Calculate j.\nAnswer: -3\/266, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:59 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3375, -26850, -90571, -214662, -419247, -724450, -1150395, -1717206?\nAnswer: -2445007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/52*3)\/((-510)\/(-765)*(-27)\/24).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1362\/(-14301)*(27\/2)\/(-3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x - 3*x + x - x - 2. What is z(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/7))**(-1\/68)*o**(-1\/12)\/o*o**(1\/5) assuming o is positive.\nAnswer: o**(-3221\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1138660*i - 4*i**3 + 1138787*i - 4*i**3 + 0*i**3 - 4*i**3 + 6*i**3 + (i**2 - 4*i**2 + i**2)*(-4*i + i + 2*i).\nAnswer: -4*i**3 + 127*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/5)*f\/(((f**(-3\/7)\/f)\/f)\/f)*(f**2)**(-3\/44) assuming f is positive.\nAnswer: f**(2689\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16668 divided by 1.\nAnswer: 16668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -10, -76?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 602160 and 4160.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 541*g**2 + 50*g + 49. Calculate the least common multiple of l(-1) and 90.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 3*z**2 + 5*z + 6. Let v be b(-4). Let s = -2 - -5. Solve -h - i = 6, s*i = 3*h + i - v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b - 14*b - 180. Suppose 195 = 5*d - 5*w, d - b = -3*w - 5. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8\/9))**(-48) assuming c is positive.\nAnswer: c**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 11 - 8, 4*z - 2524 = -5*o. Let b(p) = 503*p**3 - o*p**3 + 7*p**2 + 0*p + p. Determine b(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1541152101 - 2?\nAnswer: -1541152103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 245\/3. Let w = -123 + 24. Let z be (-4)\/9*w\/(-22). Is z < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8723444 a multiple of 4557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/30 + b**4\/12 + 17*b**3\/6 + 16*b**2. Let l(y) be the first derivative of r(y). Give l(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a - 4. Let t be (-54)\/(-42) + 4\/(-14). Let k(f) = 0 - 1 - 187620*f + 187619*f. Give t*c(u) - 5*k(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**4\/12 - q**3\/6 + q. Let o be r(1). Which is the closest to 0.4? (a) -3\/7 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, q: 1, x: 1, b: 3}. Give prob of sequence blq.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -635 - -641. Let d = 99 + -97. Solve 0 = m*u + d*u - 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (9 - (-7 - -21))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(0*t - 4*t + 0*t) + 21*t - 26*t - 2 + 1.\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20456102*o**2 - o - 235859615 wrt o?\nAnswer: 40912204*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 13*f - 5*r - 20, 2*f = r + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -53519 at least -53487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 43*o**2 + 36*o - 3. Let c be f(3). Let t = c - 276. Does 36 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 3)*(347 + 130*z + 343 - 690).\nAnswer: -910*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/6*45\/(-12). Let y be ((-6)\/(-54))\/(1\/(-3))*-6. Let b be y\/(-4) + p\/20. Which is smaller: 0.3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4007*o - 20598. Determine s(5).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10*(32 + -2). Suppose -3*m - p = -18. Suppose -418 = -m*q + 4*v, q - 2*q = -4*v - 207. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -1. Let f = -14 - -8. Let h = 11 + f. What is the third smallest value in -4, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 9 = 3*p. Calculate the common denominator of (-33)\/(-121)*(-134)\/p and 3 - 57\/(-96)*-6.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10*85\/51?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79616 is divided by 39379?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 73.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 12) in base 15?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 0 - ((-17 - 1) + (-1998 - -2007))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from weeeeeeeeeewww.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d - 18. Let m be g(5). Let l(h) = h - 2*h - 3290 + 3284 - m*h. Determine l(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -32. Let h = 101 + x. Let g(w) = 120*w**2 + 2*w + 2. Let d be g(-1). Calculate the highest common factor of h and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*b = -22 - 18, -t + 4*b + 17 = 0. Suppose c + t = -5*m, -2 = -3*m - 8. Solve u = c + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u + 4*u - 36. Let v = u - -13. Solve -v*i - 5 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(24)\/sqrt(4))\/sqrt(3) + sqrt(6)\/((sqrt(3) + sqrt(3)*-1)*4 + sqrt(3)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18727506*t**3 - t**2 + 19213439*t wrt t.\nAnswer: 112365036*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520 (base 15) to base 4.\nAnswer: 102003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 + 58014*r + 116024 = 0.\nAnswer: -58012, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45.094 + -0.094. Let b be (-1590)\/(-848)*(-24)\/(-9). Sort b, n, 4\/7 in descending order.\nAnswer: n, b, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 59. Suppose 6*l = 2*l + 28. Suppose 2*n + 1 - l = 0. Solve w + n*w + v = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/30*2*(-60)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23830? (a) -1\/19 (b) 3 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 8:46 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 6. Suppose 35*i - 27*i = 32. Suppose -3 - 5 = i*g. Which is the closest to -0.1? (a) 2\/5 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 0 + 15 - 5 - 3. Let p(h) = 3*h + 22. Give -7*c(i) + 2*p(i).\nAnswer: -i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -8 (c) 3\/5 (d) -4\/3 (e) -0.088 (f) 17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 11:04 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a - 2*a)*(15 - 7 + 4)*(-3 + a**4 + 3).\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*k**2 + 234*k**2 + 248*k**2.\nAnswer: 559*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/27*c**3 + 0 + 0*c**2 + 41*c + 2\/135*c**6 - 1\/27*c**4 + 0*c**5 - 1\/189*c**7. Factor p(k).\nAnswer: -2*k*(k - 1)**3*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3*(-1 - 2) - -4. Suppose -a - u = -7. Solve 4*x + 8 = 5*g, 5*g - 3 = x - a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1068 - -1960. What are the prime factors of f?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7162, -7, -4\/5.\nAnswer: -7, -4\/5, 3, 7162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120101300101 - -11?\nAnswer: 120101300112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(4\/215)*(22 - -40). Let b be a\/172 + (-3)\/4. What is the greatest common divisor of 152 and b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*((-120)\/18)\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75308822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(320) + 1) + 0 + sqrt(320)*2.\nAnswer: -32*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 3\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.00873 or -31?\nAnswer: -0.00873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 - 99 - 4*d to i*d + o and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1432 divided by -74\nAnswer: -716\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 365535778*t\/3 - 33404101249516321\/3.\nAnswer: -(t - 182767889)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*n + 6, -2*u + 6*n + 4 = 2*n. Suppose 7 = -u*z - 1. Let q(g) be the third derivative of g**4\/24 + 5*g**3\/6 - g**2. Give q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -237 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*j = -2*j - 32, -3*w + j + 52 = 0. Solve 3*v + 0 = -4*x + 11, -5*x = 2*v - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -10010110001?\nAnswer: 10010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -931615300 rounded to the nearest one million?\nAnswer: -932000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*l = 18, -3*l - 16 + 2 = 2*d. Let r be (d\/(-10))\/(21\/(-15)). Let i(b) = -b**2 - 4*b - 3. Let w be i(-3). Put r, w, 2 in increasing order.\nAnswer: r, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1380 + -720. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -1 (c) -136 (d) -0.59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -3\/4*j**4 - 1\/6*j**6 + 3\/5*j**5 + 1\/3*j**3 + 0*j**2 - 3 + 0*j. Factor r(f).\nAnswer: -f**2*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2172*a**2 - 13*a + 12. Is w(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 19 = -148. Suppose -26*s = -28*s + 86. Suppose 5*m - 58 = -3*k, -3*k + 4*m + s = 6*m. What is the remainder when r is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 10 - 17 + 0 + 4 - 2 + (0 - 5 + 4)*(-2 - 3 + 6) + 2 - 5 + 5 - 5 + 0 + 4)*(0 - 2 + 1)*(-2 - 3 + 3)*(0*z + 3*z - z).\nAnswer: -148*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047318 take away 17.38855?\nAnswer: -17.341232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 846047 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 -100*x**2 - 2040*x - 10404 = 0. What is x?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**2 + 10*p**3 - 25 + 29 + 0*p**2 - 9*p + 1 - 4*p**2 to the form o*p**2 + b*p + i + v*p**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31210, -26138, -21066, -15994, -10922?\nAnswer: -5850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 3, -66338\/99, 2\/11 in decreasing order.\nAnswer: 3, 2\/9, 2\/11, -66338\/99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 206\/(-2987) + 96601\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 17*c**3 + 12*c**3 - 3*c**2 + (4*c - c - c)*(2*c**2 - c**2 - 3*c**2) - 2*c**3 + c**3 - c**3.\nAnswer: -11*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) -1 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -60.315 and 10386789.\nAnswer: 10386728.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -6. Suppose 0 = -9*j + 69 - 13 + 34. Put 1, -4, m, j in descending order.\nAnswer: j, m, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21278 + -19162. Is k at most 2116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186206867?\nAnswer: 7, 11, 73, 157, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -4*r + 205 - 215, 92*d - 83 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) 2 (c) 0.3 (d) -8.76 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1201 - -13013?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49620561, 99241122, 148861683, 198482244, 248102805, 297723366?\nAnswer: 347343927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2688082 (base 9) to base 5\nAnswer: 334204240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4064182*d. Let n(z) = 17*z**2. Determine n(y(m)).\nAnswer: 280798780595108*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26891.5t to kilograms.\nAnswer: 26891500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13200132 (base 4) to base 14\nAnswer: -b2c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -68f6 - 6?\nAnswer: -68fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9) - (-8)\/6. Suppose b*z + 2 = z. Let p be z\/(-4)*0\/1. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142036?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8 + 28*o**4 - 12*o**4 + 5 + 2 wrt o.\nAnswer: 64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10 - 27*p + 27 - 2 - 346*p**4 - 6 - 35*p wrt p?\nAnswer: -4152*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k. Let y be i(1). Let a be -1*(-3)\/((y - -5)\/2). Suppose -9*s + a*s = -888. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30594749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(5\/6)*f)**19\/(f*f**(-15)*f**(-18)*f*f) assuming f is positive.\nAnswer: f**(313\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1439 by -11586.\nAnswer: 1439\/11586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 112, -4\/111?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 0) + 3 - (-9 + -1 + 11).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -207*p**3 - p**2 + p + 2. Let n be b(-1). Let i be 1\/((5\/1)\/30). List the prime factors of (i\/(-9))\/((-3)\/n).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 + 24*v. Let t(k) = 13*k + 2*k**2 - 3 + 4 - k**2 - 5*k. Let b(g) = 3*c(g) - 10*t(g). Factor b(p).\nAnswer: 2*(p - 5)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*q + 2*o, 155*o = q + 157*o + 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 792101?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 - 51*b**2 - 3*b + 51 = 0. Calculate b.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -16. Let z be 10*(0 + 3\/p). Let l(s) = s**3 - 13*s**2 + 9*s + 8. Let t(c) = c**3 - c**2 + c. Let m(h) = z*t(h) + l(h). Factor m(n).\nAnswer: -4*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7}. What is prob of sequence ww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 8*x + 5. Let r be 15\/10*(2\/(-3) + -2). Let h be j(r). Solve 0 = -a + h*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4 + 19*h - 14*h - 2*h - 25*h - 7*h. Give w(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74914905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/4*1\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-4)\/60)\/(66\/220).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 642629 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 970847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/5 + (-21)\/(-45). Suppose -3*n + 0 = -3. Which is greater: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 44.8869.\nAnswer: 45.1869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3243*x. Let r(f) be the first derivative of -f**3\/3 + 7606. What is j(r(s))?\nAnswer: -3243*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5 - 15. What is the common denominator of (-95)\/(-5) - n\/(-8) and -117\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4319, -34598, -116781, -276818, -540659?\n\"Answer: -4325*z**3 - 2*z**2 + 2*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -8766, 87 in decreasing order.\nAnswer: 87, 9, -8766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-99)\/18) + (-5)\/(-33)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 3*o = -63. Suppose 0 = 3*p - 2*k - 1, -3*p - 3*k + 7*k = o. Find the first derivative of p*j + 2 + 12*j - 3*j wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 9. Let r(z) = -z + 4. Let i(q) = -3*h(q) - 7*r(q). Let a be (16\/(-4))\/((-2)\/3). Let j(p) = 2*p - 2 + 4 - 1. What is a*j(w) + 5*i(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 552 divide 1370815033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + x - 3 + (x - 4*x - 5*x)*(0 - 4 + 1) + 0*x - x + 2*x - 5*x - 2*x + 0*x - 4*x + 4*x + 5*x + (-x + x + x)*(-4 + 4 + 1).\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1746087.28 rounded to the nearest one hundred?\nAnswer: -1746100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15094*u**4\/9 + 45278*u**3\/9 + 5030*u**2 + 15082*u\/9 - 4\/9 = 0.\nAnswer: -1, 2\/7547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 + 7.6. Let y = b - 6.000015. What is y rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224369 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 15. Determine o(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -771.66 rounded to the nearest 10?\nAnswer: -770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 429968 and 85456140.\nAnswer: 341824560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2181170?\nAnswer: 2, 5, 218117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -104, -103?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/84)\/(1*(-2)\/14). Solve -4*v + x*y = 7*y - 24, -4 = -2*y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 19*g**2 + 414*g + 54. Determine a(32).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -51458, -205421, -461882, -820841?\n\"Answer: -51249*x**2 - 216*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + (-9)\/(-4). Suppose -y = -i + y + u, 5*y + 2 = 2*i. Let g = i - -10. Calculate the greatest common factor of g and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 28*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 8*r + 6. Let b(c) = c**2 - 7*c - 11. Let m be b(9). Give p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctm when three letters picked without replacement from {c: 1, b: 1, t: 1, x: 1, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - i = -2*i - 1094, i - 1461 = -4*c. Suppose -3*r + c = 5*w - 298, -3*w = -3*r - 417. Calculate the remainder when w is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*t + 6. Suppose 0 = t*z + z. Which is the closest to -0.1? (a) 4 (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.28 + 0.28. Let f be 2\/(-4)*(-8)\/(-28). What is the third smallest value in 0.2, f, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 12, 4\/9, 0.5, 0 in ascending order.\nAnswer: 0, 4\/9, 0.5, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131516021?\nAnswer: 7, 13, 109, 13259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.5, -0.5712, 5, 3, 1, 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from kuuysec?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 38. Let u be k\/(-3) - (-189)\/56. Let s = 0 + 4. Which is the closest to -0.2? (a) u (b) -2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005512 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 164*h + 41*h - 60*h - 45*h.\nAnswer: -228*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 2)*(-f**2 + f**2 - f**2) + (-12663*f + 12663*f - 297*f**2)*(0 - 3 + 0))*(2 - 2 + 2).\nAnswer: 1778*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4864 = -3*n + 130. Is n\/4*(-4)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119376 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 2*c**6\/15 - 2*c**2 - 5*c. Differentiate z(t) wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78591 and 104397.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(-4 + (-2)\/4). Suppose -4*r + 5*f + 766 = 0, 5*r - 4*f - 153 = 800. What is the greatest common factor of r and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 7:12 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgww when four letters picked without replacement from {x: 1, g: 1, w: 3, l: 3, f: 1, r: 2}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.12 (c) -3\/7 (d) 1\/864 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330111120012 - 10?\nAnswer: 330111120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ummummxuuxuuq. Give prob of sequence mx.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*c - 6, 5*v - 3*c = -6 + 8. Sort v, 2, 10 in increasing order.\nAnswer: v, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-768)\/60)\/16*30\/228\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 794988818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*s - 538*s + 271*s - 25*s**2.\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 4. Let p be w(-11). Let k be ((-24)\/p)\/((-1)\/(-5)). Is (-150)\/2*k\/(-24) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 = -3*z. Let p be (z - -1)\/(3\/(-93)). Calculate the highest common divisor of p and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**4*r**3 + 23*c**4 + 4466*c**3*r + 2*c**2*r**2 + 34*c**2 + 2*c*r**3 - 793*c*r - 2*c wrt c?\nAnswer: -72*c*r**3 + 552*c + 26796*r","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185118916 to the nearest integer?\nAnswer: 13606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.62*-33\nAnswer: -20.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 9*z**2 - z - 3. Let i be y(-9). Suppose i*d = d. Suppose d*q = 5*q - 70. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qii when three letters picked without replacement from qeixxxqxqxxxxxqxi?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 3. Suppose 2*d - 18 = -w*t, -2*d - 2 - 8 = -2*t. Let m(i) = 42*i**2 + i + 1. Is m(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 146*h + 2655. Let u be p(-39). Solve -u*y - 3*n = 3, y + 78 - 65 = -4*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 5*z + 4*z + 2*z + 3*z + 3*z + (-3 + 5 + 0)*(-4 + z + 4) + 2*z - 3 + 3 - 3*z + 0 + 0 + 4*z + 4*z - 7*z in the form q + c*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xamrarrmrxmaaamxmrxm. What is prob of sequence axax?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + h**2 + 0*h**2)*(3*h - 3*h - h)*(25 - 11 + 1)*(4*h**2 - 3*h**2 - 3*h**2).\nAnswer: -60*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 153356273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 540861 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -1*sqrt(832))*-5 - (2*sqrt(832)*2)**2)*-6*1.\nAnswer: 79872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2177 + 157699. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 7*j**2 + 5*j + 5. Give r(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/15 + 4*r**4\/15 + 22*r**3\/15 - 8*r**2\/15 - 56*r\/15 - 32\/15 = 0. Calculate r.\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 467*o**2 - 16*o + 28. Is x(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 5. Let n be h(4). Let o(q) = -38*q**2 + q + 1. Let g(b) = b**2. Let v(d) = -2*g(d) - o(d). List the prime factors of v(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s - 15*s + 7*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345 > -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.8 - -0.2. Let x = -483 - -483.0178. Let o = x + 2.9822. Put 2, g, -1, o in descending order.\nAnswer: g, o, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 42*d - 1045. What is q(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*(0 + -2). Let y = -239\/7 - -35. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 11*b + 10. Is 7 a factor of u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*w - 39*p + 10*p + 18*p + 9*p - 118, 35 = -4*w - p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/(-390))\/(627\/76).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 599441101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24513 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**3 - 7*r**2 - 6*r - 1. List the prime factors of l(-4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = f - 2*x, 3*f + 5*x - 51 = 2*f. Suppose -4*k + 5*i + 72 = 0, i - 6*i - 7 = k. Calculate the highest common factor of k and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = 3*s - 4*y - y, -s + 5*y = -53. Let k be 1\/(-5) + s\/(-135). Which is the third biggest value? (a) 0.3 (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 13*p - 5. Let s be o(-10). Let k be 10*2\/(-4)*(-5 + 4). Suppose 0 = 4*y - 4*c - 88, -5*y - k*c + s = -45. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50320\/3 + 16780. Determine h, given that -4*h**2 + g*h + 8\/3 = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 30, 31, 22, 3, -26, -65?\n\"Answer: -5*i**2 + 26*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3 = -o, -o + 4*o + 3*w = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221287219.\nAnswer: 281, 683, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(17\/4))\/x)*x)\/x**(-7)*(x**(9\/4)*x)\/(x\/(x\/x**(9\/2))*x) assuming x is positive.\nAnswer: x**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 21*m = 377. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.544 + -1.544. Do t and 21\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*z - 7 = 0, z = -3*n + 6*z - 2. Sort -0.5, n, 0 in descending order.\nAnswer: n, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngznnzngngngnnzg. Give prob of picking 1 n and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*p + 10 - 3)*(-7*p + 2*p - 3*p + (2*p + p - 4*p)*(-1 + 2 + 1)).\nAnswer: -30*p**2 - 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.2805\nAnswer: 0.14025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11 = -4*g, -4*c + 2*g + 27 = c. Let r = 11 - c. What is the lowest common multiple of r and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m - 8. Suppose 0 = 1036*b - 908*b - 256. Sort 5, 0, m, b in increasing order.\nAnswer: m, 0, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 10*b - 1. What is the remainder when 28 is divided by c(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -40 - -20 - -45?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3*-3*(13 + 600\/(-45)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2029 = -48920. Let x = d + 781891. What is x rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-234)\/(-130))\/((-1)\/(-19340))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 115, -4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 12*g - 12. Determine r(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3 - 13814*c**2 + 957928 wrt c.\nAnswer: -3*c**2 - 27628*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 9. Let o be s(-7). Let h(l) be the first derivative of -2*l**3 + 5*l + o*l**3 - l**5 + 2 - 2*l. Differentiate h(r) with respect to r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g + g**4 + 6*g + 4*g**3 - 3*g**3 + g**3 to f*g**2 + i + m*g + j*g**3 + s*g**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 6 = -2*g, 23 = 4*h - 3*g + 30 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3\/2))**(-1\/19)\/(i**(-8)\/i**(20\/7)) assuming i is positive.\nAnswer: i**(2853\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:17 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6056210 (base 10) to base 12\nAnswer: -2040902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -4.5 (c) 2 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 72. What is the second derivative of 21*u - u - 11*u**s - 24*u + 20*u wrt u?\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccpccpcxcclc. Give prob of picking 1 p and 2 c.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 5*h + 11. Let t be y(-7). Let m be 5 - (-35)\/(-7) - 2\/t. Which is the nearest to 0.2? (a) 2\/7 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 0, -77 = -5*b - 4*m + 183. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004365466 rounded to six dps?\nAnswer: 0.000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25631457.\nAnswer: 3, 8543819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435064?\nAnswer: 2, 179383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2 - 4208*x + 4204 = 0.\nAnswer: 1, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 - 7 = 0. Suppose -4*j + 7*j - 21 = -h*k, 3*k = 5*j + 5. Find the first derivative of 0 - j - 3*q**3 - q**3 + q**3 wrt q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**5\/5 - 13*j**4\/2 - 65*j**3 - 189*j**2 - 6661. Let a(o) = 0. Calculate o.\nAnswer: -14, -9, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((2 - 0) + -1) - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*y**2 - 13152*y + 13152*y - 437*y**2.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z. Let k(u) = u**2 - 5*u - 6. Let t be k(7). Let p = t - z. What is the greatest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 11 (b) -4 (c) -1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-833)\/(-140))\/(-119))\/((-36)\/(-15) + -2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102062921?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 1)*((-27)\/(-6) - 1). Suppose 4*q - t*q + 6 = 0. Solve -q*f - 3 - 11 = 4*a, -2*f = -3*a - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673662 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1251\/(-6)*10\/15. Let a = m - -140. What is the closest to -1 in 2, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:14 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2712 - 2712 + 24*h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 20*y**2 - 42*y - 3. Let h be u(6). Is h at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 80, 92, 108, 128?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26229, 52419, 78609, 104799, 130989, 157179?\n\"Answer: 26190*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365*g + 662793 = 548133 for g.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22061 + n**3 - 88156 + 16541 - 2*n.\nAnswer: n**3 - 2*n - 93676","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 30034444?\nAnswer: 30034441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*n + 1 = 19, -5*n + 1 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*j*q**2 + 212*j*q + 31*q**2 - 2*q - 2 wrt q.\nAnswer: -32*j + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065342 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1999143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66628*h = -66562*h - 3168 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f = 10*f - 252 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 395 - 230. What is the remainder when v is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-34)\/85*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/3)\/m**16*(m**(-2))**(-1\/3) assuming m is positive.\nAnswer: m**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3727 + -3575. Calculate the highest common divisor of j and 256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from {e: 2, g: 4, w: 10}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j*m*r**2 - 21*j*m - 777*j*r**3 - 68740*m*r**3 + 2444*r**3 wrt m?\nAnswer: -2*j*r**2 - 21*j - 68740*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, j: 3, m: 4, w: 3, q: 1, p: 2}. Give prob of picking 2 j.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 11*w**2 - 17*w - 5. Let b be u(9). Let l be -10 + b + 138\/20. Do 1 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**2. Let b(v) = 139508*v. What is b(h(j))?\nAnswer: 976556*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a732 (base 12) to base 14.\nAnswer: 3266a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/9 - (-9 + 7)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.614 rounded to 1 decimal place?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 29 (c) 3\/7 (d) -5 (e) -213 (f) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*u - 36, -b + 8 = -3*b. Suppose i - 2 + 3 = 0. Let k be (-10)\/(-10)*(-1 - i). Solve k = 4*f - 4*x - 8, u*f + f + 4*x + 26 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*t - 3975 = 0, 1357*o - 1359*o - 3*t + 1570 = 0. What is the greatest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10}. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371406\/(-8365)*(-5)\/(-4)*2.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -46 + 10. Let m(w) = 9 - g*w**2 - w**3 - 1 + w + 5 - 2. Let p be m(-9). Let a(y) = -3*y**2 - 2*y + 1. Calculate a(p).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w. Let f(y) = -3 + 3 + 21*y + 1. Calculate a(f(c)).\nAnswer: 42*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -12. Solve s*i - 2 = 0, i = 4*g - 4*i - 11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 8*c + 52. Let q be w(12). Put -25, 0, -0.5, q in decreasing order.\nAnswer: q, 0, -0.5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - t + 0 - 1)*(-t**2 + t**2 - 6*t**2).\nAnswer: 12*t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 377026571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 6 - 2)*(13*t + 34*t - 8*t) - 1 + 8 - 11 - 4*t as z*t + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3315 + 3312.7. Sort -4, h, 4\/3, 1.\nAnswer: -4, h, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:49 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59684 = 2*m - 4*f, 176471 - 57148 = 4*m + f. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by (-6)\/(0 + (-6)\/30)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*w - 2*w - 4212 = 59*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279117 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:13 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:19 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 12 = 2*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 846 = 696. Suppose -137 = 20*r - t. Let n(b) = 4*b**2 - 6*b - 6. Suppose -5*a + 5 + 20 = 0. Let i(h) = -3*h**2 + 5*h + 5. What is a*n(v) + r*i(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 2*p - 12, -3*p = -x + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -58.91+8138043311\nAnswer: 8138043252.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, -321, -788, -1265, -1758, -2273, -2816?\nAnswer: -3393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 40 = -9*v. Let l(o) = -3*o + 56. Calculate the remainder when l(v) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395634423 to the power of 1\/2, to the nearest integer?\nAnswer: 19891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -57*g - 22*g**2 - 16*g**2 - g + 41*g**2 - 144*g. Let w(k) = k. Calculate w(h(c)).\nAnswer: 3*c**2 - 202*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809109?\nAnswer: 3, 7, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4920, -9840, -14760?\nAnswer: -19680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 14 = 2*f, 1 = f + 3*u + 4. Suppose 4*c + 8 = 0, -c - f*c - 14 = 3*x. Sort 11, x, 0 in ascending order.\nAnswer: x, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from yycpyiypcpytipcaiipp?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 442 + 943?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 139, 142?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 19*q = -2*j + 1242, -2*q = 4*j - 2460. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 51*y - 2. Let s be a(2). Let o be 6*(950*s + 0). Round o to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*c + 238*c = -56*c + 1929 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23)\/69 + (-7)\/(21\/(-388)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 17*f**2 + 16*f + 6. Let d be g(16). Which is the smallest value? (a) -1\/6 (b) 1\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8977*c - 1428 = -9019*c for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -348*t. Let q(y) = 7*y + 102. Let x(z) = z + 17. Let h(c) = -q(c) + 6*x(c). What is n(h(u))?\nAnswer: 348*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/18))**(-2\/29) assuming b is positive.\nAnswer: b**(-17\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026378148 - 12.\nAnswer: -11.973621852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -352\/39 - -6223\/858. Calculate the common denominator of j and 107\/1484.\nAnswer: 16324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 15*k = 32*k + 616 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 9728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 593*n**2 + 921*n - 7805. Calculate a(298).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/14 + 113460\/32550.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 21 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-18))\/(6\/(-45)). Let i(a) = -a**2 - 7*a + 3. Let p(x) = -x**2 - 8*x + 3. Give q*p(h) + 6*i(h).\nAnswer: -h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 39 - 15)*(p + 15 - 15)*(0 + 3 - 4)*(-3 - 4 + 5).\nAnswer: 134*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + n. Suppose -5*x = -3 + 8. Let o be h(x). Let z = 4 + o. Solve 2*y - 4 - z = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**2 + 125 + 2*k**2 + 0*k**2.\nAnswer: k**2 + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3))**(-31)*(c**(-1\/2)*c)**(-7) assuming c is positive.\nAnswer: c**(179\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1926, -15603, -52806, -125301, -244854?\n\"Answer: -1961*v**3 + 3*v**2 + 41*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3388 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490680?\nAnswer: 2, 5, 83, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 24. Let x = j + 7. Find the second derivative of -44*v + 6*v**x + v**2 + 51*v wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -27\/574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 - 18*x**2 - 35*x + 117. What is r(10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -25. Let w = a - -9. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2607, -5214, -7823, -10434?\n\"Answer: -t**2 - 2604*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/6)\/((6248\/132)\/(-71)). Let l(k) be the first derivative of 16*k + 2 - k**4 + 14*k**o + 8\/3*k**3. What is p in l(p) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*c - 52*c - 18. Let u be 2 - -25*(1 - 0). What is the highest common divisor of u and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 - 9*v**3\/5 + 8*v**2\/5 + 12*v\/5 = 0. Calculate v.\nAnswer: -2, -1, 0, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.473 + 5.127. Round t to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40671133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93 - 40. Let n(p) = p**3 + 6*p**2 - 9*p - 11. Let u be n(-7). Let z = o + u. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + 0*u)*(9*u**2 - u**2 - 4*u**2 + (2*u + 5*u - u)*((0 + 2 + 1)*(3*u + 3*u - 3*u) - 3*u - 2 + 2) + 2*u**2 + 3*u - 3*u).\nAnswer: -126*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -55*u. Let m(s) = -101*s + 5. Give m(x(g)).\nAnswer: 5555*g + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*t + 3*y, -3*y + 2*y + 4 = -2*t. Suppose t = 2*x - 4*x + 38106. Let q = -27353 + x. What is q rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -69*l**2 + 1303*l - 17. Calculate x(19).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/20 + 2*h**4\/3 - 5*h**3\/6 + 5*h**2\/2 + 8*h. What are the prime factors of s(-7)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14232 and 162648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/18174 and -98\/73125.\nAnswer: 34076250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4782 - -3.523. Let k = 4.35 - 6.44. Let r = i + k. What is r rounded to 3 dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 447 - 686 = 0. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -82, -304, -740, -1462, -2542, -4052, -6064?\nAnswer: -8650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -125, -158, -173, -164, -125?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 7*m**3\/6 + 77*m**2 - 16*m - 1. What is the least common multiple of 3 and l(0)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -45 - -37 - 426\/(-53). Which is the biggest value? (a) -1\/2 (b) k (c) -1\/9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(112)*2 + 1 + -3*(sqrt(112) + 1) - ((sqrt(112) + 1)*-3 + 1*sqrt(112) + -4)) + -4)**2.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215805533?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, t: 8, k: 5}. Give prob of sequence stks.\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - n + 0 + 2*n - 3*n + 0*n + (n - 2*n + 3*n)*(-4 + 0 + 6) + 0*n + n + 0*n - 5*n + 5*n - 2*n + n + 1 - 1)*(0 - 7 - 6).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4500.76 centuries?\nAnswer: 450076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -935 (base 10) to base 7.\nAnswer: -2504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*s + 23429, -5*s = b + 9108 + 20173. Is s\/(-5 + 1) - -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 163, 273, 403?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 42, 5, -269012 in descending order.\nAnswer: 42, 5, 4, -3, -269012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5*(14846\/390 + -38)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 10 - (7 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1501, 112, 3, -2?\nAnswer: 0.1501","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.430271 milligrams?\nAnswer: 0.000000005430271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 0*z)*(1840*z**2 - 720*z**2 - 2*z + 722*z**2).\nAnswer: -3684*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58, 450, 1104, 2020, 3198, 4638?\n\"Answer: 131*b**2 - b - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 378737719 to the power of 1\/2, to the nearest integer?\nAnswer: 19461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0082876 to three dps.\nAnswer: 2.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36069 is divided by 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qeeeeeeqeqe. What is prob of sequence eqqq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = 0, -j - 2*r = -1 - 8. Let t(c) = 28 + 26 + 22 - 7*c - 13*c - 77. What is t(j)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1487674506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 278966913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, -3, 1 in increasing order.\nAnswer: -4, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1771.1 + -1771. What is the nearest to -2\/9 in 3, 0.11, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, h: 1, z: 1, k: 2, j: 3}. Give prob of sequence kjl.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 11*v**2 + 6*v - 8. Calculate a(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7460429 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.215 - 1.215. Which is the closest to -0.1? (a) 2\/11 (b) 0.1 (c) 0.2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5537.2+512\nAnswer: 6049.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1.290997.\nAnswer: -2.581994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from rnuurrurcucrunvru.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 29 + (0 - 3) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/248478 and -19\/12.\nAnswer: 496956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 + (-19 - 43) - (-9)\/(-1 + 0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 10. Let m be a(8). What is the tens digit of (1*(15 - m))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**3 + w**2 + 4. Give l(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 12:11 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 p when four letters picked without replacement from pwpwpwwwwppwww?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15622, 1, -0.3, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v + 3296 = 2*l, 0 = -5*v - 25. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61331253 (base 7) in base 15?\nAnswer: 6b1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (-7 + (-5)\/(-1))*-11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108896.84 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4675991081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1315 + 65?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*a + 11*a**2 - 102*a - 11*a**2 + 2*a**3.\nAnswer: 2*a**3 + 192*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 50\/17, 1\/2, -0.014 in increasing order.\nAnswer: -0.3, -0.014, 1\/2, 50\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 351, 533, 715?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*z = 42*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**3 - 8*n**2 + 4*n + 21. Let v(p) = -4*p**3 - 8*p**2 + 4*p + 21. Let h(q) = 3*v(q) - 2*z(q). Is h(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6)*(-84)\/105?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 4. Let v(i) = -4*i + 5. Suppose 81*w + 532 = 937. Calculate w*v(q) - 6*d(q).\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 2882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110531052 + -15?\nAnswer: 110531033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 666*x + 527*x + 5965 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, z: 3, l: 1, c: 2}. Give prob of picking 1 z and 1 m.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - j - 12 = 6*c, 2*j + 4 = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1970.221 + 0.5494207\nAnswer: -1969.6715793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5339 or 5355?\nAnswer: 5339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140\/238)\/(18\/102)*6\/(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 2*g. Suppose 2*r - 75 - 57 = g. What is the third derivative of 5*h**4 - r + 66 - 5*h**2 wrt h?\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((6 - 11) + 5 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.77 and 0.09783.\nAnswer: 1.86783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.59854 + 0.03519453\nAnswer: 1.63373453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 9. Let k = -34 - -37. Suppose -k*g - 2*l = -21, g + g - 14 = 3*l. Calculate the remainder when g is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:25 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26134 - -26133.974854. Let x = -0.0254 - b. What is x rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = p + 95 + 68, -2*s + 136 = 16*p - 0*s - s for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -5, 0.003, -3, 3\/10 in descending order.\nAnswer: 5\/2, 3\/10, 0.003, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 5\/2*m**2 + 0 + m**3 - 4*m. Calculate the remainder when q(10) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-91)\/52) + 4*-2. Let q = 0 - 0.04. Put -5, q, s in decreasing order.\nAnswer: q, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4.2. Let x be (4\/8)\/(3\/2). Which is the second smallest value? (a) r (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/198 and 11\/2.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -50. Suppose n*c + 45 = -0*c + 3*l, 5*c - 2*l + 60 = 0. What is the remainder when (-396)\/c + (-9)\/15 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (5 - 154\/33)\/(2\/123606)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 307558515?\nAnswer: 307558525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r + 14. Let k(h) = -7. Let u(y) = 4*k(y) + 2*q(y). Let a(l) = 28*l**2. Calculate a(u(v)).\nAnswer: 1008*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 84. Suppose -770 = -10*n + r*n. Let s be 174\/8 - (-1)\/4. What is the highest common divisor of n and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14*k + 1. Let w(d) = d**3 + 9*d**2 - 10*d + 3. Let y be w(-10). Suppose -y*z - 5 = -8*z. Suppose 4*o + z = 5. What is s(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.022 - 0.373. Let p = o - -0.051. Which is the biggest value? (a) p (b) 0.5 (c) -1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 58. Suppose 4*y - 6 = -5*v - 10, g*v + 24 = y. Suppose 4*u + 2*d - 63 - 35 = 0, 4*d + 128 = y*u. Which is smaller: u or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3011*i**2. Let a(n) = -2*n. Determine x(a(o)).\nAnswer: 12044*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c3 (base 16) in base 7?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -12. Suppose -3*w = -4*a - 0*w + j, a - 3*w = 13. Let f be (-4)\/(-1)*30\/8. Solve 2*c + a = x, 2 = -5*c + 3*x - f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from ntntnt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/1 + 0 + 5. Suppose -4*o = -4*q + 28, 0 = -6*q + q - 5*o - j. What is the units digit of (q + 10\/(-3))*-24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19689*c + 19668*c - 63 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 8837363.94 to the nearest ten thousand.\nAnswer: 8840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*r - 15, 2*j = r - 6*r + 29. Let f = j + -2. Solve -2*l - 1 - f = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3352635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let w(j) be the second derivative of 6*j - 3*j**3 + 4*j**3 + j. Calculate k(w(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -10. Let o(z) = -6*z. Let m be o(c). Suppose l = -l + m. What is the greatest common factor of l and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 135 = -17*r - 8*r + 71*r, -13*r - 35 = 3*s - 9*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 325808082 to the nearest integer?\nAnswer: 18050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -33748.55953 + -0.4\nAnswer: -33748.95953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:19 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 31*u - 4. Let y be n(-16). Suppose -3*j - y - 13 = -r, 0 = -5*r - 2*j + 176. Calculate the highest common factor of r and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 4*b - 2*b)*(b**2 + b**2 - 3*b**2 + (b + 4*b - b)*(b - 5*b + 3*b)).\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-5 - (-348)\/27)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 3*v + v)*(-3 + 6 - 1) + (-1 + 3 - 3)*(-7*v - 323 + 323) in the form n + u*v and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -13*o**2 + 2*o - 2. Determine u(3).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12647528.\nAnswer: 2, 659, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -740 by 370.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45*(12\/3 + -1 - (-488)\/(-183)). Solve -19 = -2*o - 5*a, 13*o - 10*o = -3*a + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -2, -15, 1 in ascending order.\nAnswer: -15, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 3607 - 3595 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 3. Let u be f(1). Let r(v) = 3*v**2 - 2*v + 2. Let j be r(u). Solve 2*t - 7*t + j = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 9. Let w = -20 - h. Let d = w + 35.1. Sort d, -0.9, 0.3.\nAnswer: -0.9, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j - 19*j - 37*j)*(0*j**2 + j**2 + 2*j**2)*(3 - 3 + 2*j).\nAnswer: -420*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4 + 6. Suppose -i - 44 = -n*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -26, -27, -30, -35, -42?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1102 + -1062. What is the least common multiple of 8 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 102\/2*2\/6. Let b = g + -12. Suppose -3*l = -3*h + 48 - 204, -2*h = -b*l + 257. Does 18 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * -51\nAnswer: -91.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - 17. Let g = t + 45. Suppose g*u = 2*q - 16 - 34, -4*q - 3*u = -89. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1194, -5511, -12706, -22779, -35730, -51559?\n\"Answer: -1439*x**2 + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/2, -0.4, 3\/125, 5?\nAnswer: 3\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 13*y**2 - 13*y - 3. Let b = -2 - -1. Let d(a) = -13*a**2 + 1. Let g be d(b). What is the units digit of p(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3 - 3*o**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -534316423\/8655 - -61735. Is c equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2621822 - 0.3.\nAnswer: -1.5621822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 124286.6 decades in millennia?\nAnswer: 1242.866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*224.1.\nAnswer: -44.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 162100 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 694000093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.76713 - 0.17387. Let r = v + -0.059. Let l = r - -27.3. What is l rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/(-8) + (3266\/184)\/71.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*w**2 + w**2 + 71*w - 64*w + 47*w**3 + 2*w**2 wrt w?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 165, 583, 1785, 4185, 8197, 14235, 22713?\n\"Answer: 69*f**3 - 22*f**2 + f + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**6\/40 - 17*u**5\/60 + 38*u**2. Find the third derivative of b(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49, 203, 459, 817?\n\"Answer: 51*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 4906 = 5166. Solve f = 16*n - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*c**3 - 2*c**2 - 2*c**2 - 54*c**3 + 17*c**3 + 47*c**3 to u*c + m*c**2 + w*c**3 + i and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 91\/1*(-464)\/69832*-172\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 32. Let w be g(-15). Let c be 2 + -4 + (w\/(-1) - -4). Suppose c = 2*z - 4*x - 691 - 419, 3*z - 1685 = -4*x. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1053*c**2*g*u**3 + 23*c**2*u**2 - 3*g*u**3 - 2*g*u + g + 45*u**2 wrt u?\nAnswer: 6318*c**2*g - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1257*g = 1256*g + 5*o + 7, 0 = o + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**4*p*s**2 - 891*f**4*p*s + 2*p*s**2 + 133*p*s + s**2 - 1 with respect to f.\nAnswer: 8*f**3*p*s**2 - 3564*f**3*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 62.4.\nAnswer: -49.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4\/8 - 2349*c**3\/8 + 189657*c**2\/4 - 47121*c = 0. Calculate c.\nAnswer: 0, 1, 226, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 171 - 66 = 8*z, 5*z - 33*b + 338 = -6*b - 20*b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.91066 - -0.905. What is q rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.06 (b) -1\/2 (c) -1 (d) 3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r - 157. What is h(-29)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*65\/315*(-579)\/193*1.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 2\/19, -5, 10, 0.03 in decreasing order.\nAnswer: 10, 2\/19, 0.03, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u + 47*u + 62*u + 59*u - 53*u.\nAnswer: 152*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 29*c**2 + 7)*(-8 + 5 - 4) + (0*c + 3*c - c)*(-1 + 1 + 2*c).\nAnswer: 207*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = 5*a - 5175, -1043 = -x + a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -10*u + 167. Solve 0 = -2*d - 8, -5*d = -5*n - d + u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n)**(14\/3)*((n*n\/(n**2*n))\/n)\/n*n**(1\/7) assuming n is positive.\nAnswer: n**(-256\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vffehvfhhvvov. What is prob of sequence eh?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 18, 42, 84, 150, 246, 378?\n\"Answer: t**3 + 5*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 364591, 364969, 365599, 366481?\nAnswer: 367615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375653528 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25704 (base 10) in base 2?\nAnswer: -110010001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (24\/(-5))\/((-9)\/3630)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 198.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 123113?\nAnswer: 123120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -337*a**3 + 339*a**3 - 27*a - 2 + 26*a**2 + 27*a. Give c(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1123284 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3740626210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8170 and 4902.\nAnswer: 24510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/(-9996)*24\/4?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 8:17 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. What is the third derivative of -2*w**3 + w**3 - w**3 + 2*w**2 + 10*w**q wrt w?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1654043515 - -5?\nAnswer: 1654043523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -2 + 9903\/3291. Let k = 43610\/29619 + a. What is the common denominator of k and -57\/7?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-30))\/(2\/4). Let g(f) = 8*f + 309. Let r be g(-48). Let t be 32\/30 + (-10)\/r*-3. Which is the third biggest value? (a) x (b) t (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238*a**4 - 10583*a**3 + 4*a**2 - 4756*a + 361?\nAnswer: -5712*a - 63498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 2864 = 7516. What is the remainder when m is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g - 10. Let z be ((-1 + 0)*14)\/2. What is the tens digit of r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42343 is divided by 1316.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/687844 and -41\/24.\nAnswer: 4127064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1323 + 6.1323. Is -2\/47 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -30. Let v(s) be the second derivative of s**3\/6 + s**2 + s. Calculate v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p**3 - 2*p**2 - 2*p + 2. Let f(n) = 76*n**3 + 11*n**2 + 11*n - 11. Calculate -2*f(j) - 11*y(j).\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - ((5 - 4) + 16). Let v be -6 - (s\/7 - 2\/14). Is v\/(-10) - 112\/(-20) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7410 and 109174.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -195*c. Let k(j) = 509455*j**2. Calculate k(i(o)).\nAnswer: 19372026375*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h = 45. Let d be (h\/(-24))\/5 - 115\/(-40). Solve w - 6 = d*w, 3*w + 29 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 7}. Give prob of sequence pv.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1078 + 12243?\nAnswer: 13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 12*g + 5. Let q be c(12). Let t be 18\/10 - (-1)\/q. Solve 2*m + 6 = m + 2*f, t*m - 3*f = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*n**2 - 264*n**2 - n + 3*n - 2*n.\nAnswer: 91*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 - 5) - (-1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267064450 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -231514 (base 7) in base 10?\nAnswer: -41416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 13 = 5. Let o(f) = -f - 2. Let k be o(-4). Let y(j) = 0 - 3*j - 2*j**2 - 3*j**3 - k + q*j**3. Give y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.94054 milligrams to nanograms.\nAnswer: 70940540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5185.41 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(((-2)\/(-6))\/((-2)\/(-2))). What is the greatest common factor of m and 396?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14. Let f(w) = -29*w**3 + z*w - 45*w**3 - 1 - w. Is f(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/2430 and 137\/2070?\nAnswer: 55890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 13*b + 1. Let y be s(-13). Suppose 9 = 4*u + y. Solve -u*d + 6 = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13364388 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 2*o)*(11*o - 25*o + 8*o) + 4*o**2 + o + o - 2*o.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, s: 5}. What is prob of sequence bss?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/((-7316)\/177 - -49)\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 20. Let w be (-72)\/(-15)*1*-485. Is v\/28 + w\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1609 + -3.3609. Let p = 23 + -26.7. Let g = p - d. What is the second smallest value in g, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 0*b + b)*(-15*b - 4*b + 2 + 4*b)*(5*b - 3*b + 0*b).\nAnswer: 60*b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/9, 0.1, -7\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*u - 6*h + 30, 2*u - 3*h = 4. Suppose -4*a - 2260 = -4*v, 0 = 5*v - 4*v + u*a - 589. What are the prime factors of v?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose h*o - 12 = 5*d + 33, 2*d = 4*o - 26. Suppose i = o + 5. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/121915 and -77\/6590.\nAnswer: 243830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1206 = 9*k - 2412. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 29, 58, 99?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - -0.82. Let l = 0.02 - x. What is the biggest value in -2\/15, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 342*o - 10759 + 1525 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-1 - (1 - 3)). Suppose -s = -t*n - 2*s + 118, s + 122 = 4*n. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -7.6. Which is the third biggest value? (a) y (b) -2\/7 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 - -322034?\nAnswer: 321430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 62175 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1720245420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 6:51 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39595 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 7:21 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1137559036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-23 + 15 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 38.974 and -0.0502072.\nAnswer: 38.9237928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 301747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 13*h**4\/12 - 5*h**3\/6 + 5*h**2\/2 + 7*h. Let g be (1 + 1)\/(3\/(-12)). Is o(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 540093145?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - 27*t - 4. Let c be z(7). Let x be -9 + c + 3 - -7. Calculate the highest common factor of 124 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17704279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d8 + -3?\nAnswer: -2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25253269 and 79837?\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-214*k**2 + 3345*k - 1 + 2795*k - 5973*k)*(-3*k**2 - 4 - 4*k**2 + 5*k**2) in the form g*k**2 + o + s*k**3 + n*k + i*k**4 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275712 is divided by 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18997229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.836658865215 plus -0.3?\nAnswer: -5.136658865215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqvv. Give prob of sequence vv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/4018634?\nAnswer: -13\/4018634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80255*p**3 + 5296*p**2 + 14*p?\nAnswer: 481530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7425066 is divided by 2474998.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s - 308435 = -71031 + 286711. Round s to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.104 from 100.8.\nAnswer: 100.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**6\/14 + 6*i**5\/35 - 42. Factor o(w).\nAnswer: -3*w**4*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 184 - 27*m + 45 - 95*m + 108*m + 60 as r*m + o and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l - 3. Let s(n) = 18*n - 2. Let y(m) = -3*c(m) + 4*s(m). Is y(1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + 14. Calculate the least common multiple of 25 - (2\/(-1) + 5) and l.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2931\/4 + 733. Let q(j) be the second derivative of 3\/2*j**2 - l*j**3 + 10*j + 0 + 3\/40*j**5 - 1\/4*j**4. Solve q(c) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a. Suppose -2*p - 2*x = -x - 7, -3*p - x + 9 = a. Suppose j - 3*o = 10, -j - 2*j + 16 = -p*o. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*h + 27 - 252, 0 = -4*h + y + 189. Suppose -2*s + 62 = -h. Let n be (-5)\/(-2)*66\/s. Solve 0 = -j - 6 + n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9) - (-135599992)\/(-12). What is i rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000129943894 to 7 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 7740*h**2 - 46402*h + 27. Give c(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*o + 22450*o**2 + 93 - o**3 - 22441*o**2 - 96 in the form i*o**3 + w + n*o + l*o**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 3*k + 80 = 0. Let s be (-2)\/8 - 3\/k. Let t be 84\/294 + (-22)\/(-70). What is the second smallest value in t, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 27 - 23. Suppose -10 - 14 = -4*i. Solve -k = -4*n - i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -25*f**2 - f + 2174. List the prime factors of y(0).\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25563*x + 16 = -25555*x. Solve -43*g = -40*g - 4*p + 27, x*p - 6 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 152743, -5 in descending order.\nAnswer: 152743, 63, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 5, g: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190)*3)*4)\/(sqrt(1440)*-3) + (((1*1*sqrt(2299) - sqrt(2299)) + sqrt(2299))**2 - ((1*sqrt(133)*-1)\/sqrt(7))**2).\nAnswer: -4*sqrt(19)\/9 + 2280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 31*i**2 + 1. Let t be v(-1). Suppose -3*m + 70*n - 73*n + 27 = 0, 20 = 3*m + 4*n. Calculate the greatest common divisor of t and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9174 (base 10) to base 15.\nAnswer: 2ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.486 rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 + 2*i + 2. Let w be k(-1). Solve -4 = -3*h - 5*u - 6, 2*h + w*u = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwwy when four letters picked without replacement from uwfwffuuffywfwufufw.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-56) - 1) + (-153)\/(-408)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 122*k + 1. Let h(t) = 21*t**2. What is h(x(u))?\nAnswer: 312564*u**2 + 5124*u + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n - 9. Let f(b) be the third derivative of 5\/6*b**3 + 0 - 1\/6*b**4 + 34*b**2 + 0*b. Calculate 5*f(a) + 3*m(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 20 - 49)*(x + 2*x - 9*x)*(-2 - 1 + 2)*(109*x - 83*x - 105*x + 1).\nAnswer: 2844*x**2 - 36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39000 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 6. Calculate the remainder when 32 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(204)\/sqrt(3).\nAnswer: 5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45.529 - 1.2159.\nAnswer: -46.7449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -577241.7 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 8490.1374?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -0.06 (c) 4 (d) -5.2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24, 64, 90, 96, 76?\n\"Answer: -p**3 - p**2 + 50*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onnn when four letters picked without replacement from {o: 3, p: 1, n: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 29*z**3\/3 - 5*z**2\/2 - 6*z + 988. Let u(d) = 28*d**2 - 4*d - 5. Calculate -5*g(x) + 6*u(x).\nAnswer: 23*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 - 4*l**2 - l**2)*(-3*l + 2*l + 2*l) - 3*l**3 - 2*l**3 - 2*l**3 - 3 - 13 - l**3 + 7 as k*l + c*l**2 + u*l**3 + r and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f*f\/(f*f*f**(-1))*f)\/f))**45)**(-40)*((f*(((f\/(f*f**1))\/f)\/f*f)\/f*f*f)**(-1\/37))**(-26) assuming f is positive.\nAnswer: f**1800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*s + 7. Suppose 0 = s*f - 2*k - 30, f - 5*k - 24 = -3*f. What is the units digit of 3\/f*-2*-8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 15 + 21 - 3*f + 108 + 24.\nAnswer: -3*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1370, -1, 7 in decreasing order.\nAnswer: 1370, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 166125767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/y**(-5))\/(y**(-1))**(-2\/35) assuming y is positive.\nAnswer: y**(68\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973192443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.7. What is the third smallest value in q, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 43938 and 29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2 - -8) + -43 + 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -14830915.\nAnswer: -296618.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 5*u - 6. Let d be p(6). Suppose 6*a = a + 15. Suppose 0 = n - a + 1. Solve -4*h = d, -h = 4*x + n*h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - -4. Does 52 divide (0 + -1 - -3) + u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512184 to the power of 1\/2, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24924 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**2 - 5*z**2 + 5*z**5 + z**2 + 6*z**2 wrt z.\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 749779.6g?\nAnswer: 749779600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + v)*(-v - v + 4*v) + 2*v**2 + 2*v**2 - 6*v**2 + 2*v**2 - 1 + 1 + 2918 - 2918 + 449*v**2.\nAnswer: 453*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + 2. Let c = g - 33. Suppose -3*j + 2*v = -v - 9258, -3*j + 9261 = -c*v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = 1. Let t = -2 - y. Solve 0 + 2*n**2 + 4\/3*n**5 - 2\/3*n**3 - 2\/3*n - t*n**4 = 0 for n.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 16746639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x - 3 = 0. Sort x, 4, -2 in decreasing order.\nAnswer: 4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 7*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 73169690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-284)\/355)\/((-14)\/15).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*u + 6. Suppose -u*s = -11*s. Solve s = b + 2*h + 7, -3*b + h - 5*h = 19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - 2*t + 2*t)*(3*t - t - 4*t) - 14 + 3*t**5 - 3*t**3 + t**2 + 14.\nAnswer: 5*t**5 - 3*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 21*l - 115. Suppose -2*i = -4*z + 32 + 2, -70 = -5*z - 3*i. List the prime factors of d(z).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 4*o**7\/21 - 7*o**3\/3 + 9*o. What is the second derivative of i(c) wrt c?\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4758\/403 - 10) + (-4 - (-12)\/6)\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 3, 0.3 in increasing order.\nAnswer: 0, 0.3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 524 or -26?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Solve -7*p = -s - 5*p + 8, w*s - 14 = 3*p for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:51 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7351970?\nAnswer: 2, 5, 107, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2671005734 rounded to five decimal places?\nAnswer: 0.2671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 4) + (-4 - -159). What is the tens digit of o\/6 + (-3)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3 + 7. Calculate the highest common divisor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15475?\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1282*p**3*q**2 - p*q**2 - 291*q**2 wrt p.\nAnswer: 7692*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**4\/13 + 240*f**3\/13 - 770*f**2\/13 - 3960*f\/13 - 2952\/13 = 0.\nAnswer: -123, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from {x: 5, l: 2, q: 2, y: 4}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39146593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 109, 159, 219, 295, 393, 519?\nAnswer: 679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 - 3*m - 1. Let z be h(-1). Suppose z*b - 6 = 3*b. Let j be (-24)\/(-3)*b\/(-4). What is the second smallest value in -3\/7, j, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 896.4505 litres?\nAnswer: 896450.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, 1802, 4, -6 in descending order.\nAnswer: 1802, 98, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w + 4*x - 11, -3*w + 2*x + 11 = 0. Suppose w*d - 1628 = -2*g + 612, 2*d - 4488 = -4*g. Suppose 2*t - g = -137. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 743770 (base 10) to base 4.\nAnswer: 2311211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 11*v**2 + 5*v + 13. Suppose 6*s = 7*s - 11. Is n(s) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10223441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 3*z)*(2 - 2 + 2*z**2) - 12*z - 5*z**3 - 181 + 181.\nAnswer: -3*z**3 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16525879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 bigger than 19246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 731219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 2*l**2 + 1\/12*l**4 + 0*l + 0*l**3 + 0. Let a(i) = -7*i**2. Let w(f) = -6*f**2. Let d(v) = -4*a(v) + 5*w(v). Give d(q(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6234 or 6229?\nAnswer: 6229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/3 of a year?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22047580 a multiple of 1150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6358 = 17*c - 6358 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.42, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9655351.\nAnswer: 47, 205433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -276422216 divided by -7\nAnswer: 39488888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/47 and 22\/201.\nAnswer: 9447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 8:43 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n - 32*n = 648. Solve n = -13*r + 31*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -1127, 12\/5, 9\/2?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-14)*(-76720)\/(-6093760).\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 273\/(-84) + 140\/(-16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10098 or -2945?\nAnswer: -10098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1005.2 + 1001.101. Let y = -0.099 - r. What is the smallest value in y, -2\/91, 1\/3?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.63 + 1.43. Let t = -16.6 - l. Let r = 2\/35 - 88\/315. Sort -2, -4, t, r in ascending order.\nAnswer: -4, -2, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163093 less than 3098760\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7794067 is divided by 3715?\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + v = -180, w + 4*v + 21 = -50. Let u be 0 - (1 + (w - -3)). Suppose 3*l + 2*l = u. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15566 - 15570. Sort 16, 0.1, -0.4, 1.5, a in descending order.\nAnswer: 16, 1.5, 0.1, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61\/43 - -1649\/344. What is the common denominator of s and 11\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 + 13*c**2\/2 - 168*c + 2125. Determine w, given that a(w) = 0.\nAnswer: -21, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -33*c - 115. Let v be f(-4). Solve y = 4*s + 3*y - 12, -4*y + v = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/45012 and -13\/30008.\nAnswer: 90024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 1 o when three letters picked without replacement from {a: 1, v: 5, m: 2, s: 5, o: 1, x: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let i(y) be the first derivative of -y**2\/2 + 9*y + 1. Give i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2490070?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 495.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30\/7 (b) 2\/13 (c) -0.3 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316 (base 10) in base 8?\nAnswer: -2444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (661 + 669 + 274*d - 1328)*(-2*d + 2*d**2 - 3 + 3) to the form t + u*d**2 + s*d**3 + z*d and give u.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*b**2 + 161*b**2 - 10*b**3 - 54*b**2 - 51*b**2.\nAnswer: -10*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*c - 40*c + 57 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*z - 20 = z, -4*z = 8. Let f be 4 - -3*22\/b. Let m be 2 + (-5)\/(f\/2). Put 2\/13, m, 1\/7 in increasing order.\nAnswer: 1\/7, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 7*g + 4. Let k be -3 + -1 - 22\/(-2). Let x be d(k). Suppose x*i = 94 + 42. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**6\/120 - c**5\/12 - 7*c**4\/24 + 2*c**3\/3 + 3*c**2. Let p be y(6). Is p bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 8*o**2 + 205*o - 38. List the prime factors of m(-28).\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10086 is divided by 95?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/12 + 14\/(-21))*-10. Suppose 2*m - 1 = -5, -l*m = -4*g + 18. Solve g*r = -14 + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * -0.05.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 874*g**3*n*y**2 + g**3*n*y + 1490*g**3 - 3*g**2*y**2 wrt n?\nAnswer: 874*g**3*y**2 + g**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - f - 187 = 249, -3*f - 1740 = -4*a. Calculate the smallest common multiple of 144 and a.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-1730\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2571995 (base 11) to base 15\nAnswer: -5ce7c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/4 and (2\/(-3))\/(30\/(-177))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1139, -1092, -1047, -1004?\n\"Answer: -j**2 + 50*j - 1188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = -2*y. Let l = y + 1. Let o = l + 3. Solve 5*j - 1 = 3*f - o*f, 3*f = -5*j - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8316663, -8316659, -8316653, -8316645, -8316635, -8316623?\nAnswer: -8316609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/77)\/((-72)\/(-16236)*41)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - -144. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-10) - (-2)\/5. Let g = x + 0. Which is the nearest to 1? (a) -0.1 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -119*u. Let z(l) = -2*l**2. Give r(z(p)).\nAnswer: 238*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 2, v: 1, z: 1}. Give prob of sequence zpv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 9*k - 6*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven fifths of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(45) + (sqrt(270)\/(sqrt(6)*1))**2 + 3 + (-2 + sqrt(4500) - sqrt(4500))**2 + 3.\nAnswer: 3*sqrt(5) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.419 * -17.\nAnswer: -7.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25957 divided by -101.\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1739\/312 - 237\/26. What is the common denominator of s and 19\/22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let g(x) = 7*x**3 + 5*x. Let k(a) = a**2 + a - 19. Let c be k(4). Calculate c*g(q) - 5*o(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(38) - sqrt(38)*1)\/sqrt(2)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j**4 + 46840*j**3 - 159550*j**2 - 9280*j + 197085 = 0 for j.\nAnswer: -1877, -1, 7\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 106 (b) -0.1 (c) 34 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -969*h**3*j*p**3 - 105029*h**3*j*p**2 + 3*h**3*p**2 - 2*h**3 - h**2*j - 498*h*j*p**3 wrt p.\nAnswer: -5814*h**3*j - 2988*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2039 = -5*d + 3166, -2*u + 5208 = 4*d. Round u to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -1 + 266 + 1. Let c = b - 153. Suppose 0 = -2*a + 4*l + c, -35 = -3*a + 2*a - 2*l. Calculate the greatest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljj when three letters picked without replacement from {j: 5, l: 8}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212938039 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 372*r + 1 - 5 + 3. Is p(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12 + 0)\/(-3) - 33\/(-11). Which is the closest to -23? (a) -1\/5 (b) 1\/3 (c) y (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 7. Let d be c(7). Suppose -5*z + 4 + 21 = d. Suppose z*y - 5*m - 3 - 62 = 0, m - 42 = -4*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 4 - 2 + 4*l)*(6 + 28 - 4).\nAnswer: -60*l + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4863889 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 846\/21 + (-2)\/7. Let w be 32\/y*4190\/44. Let o = w - 76. Which is the third smallest value? (a) -1 (b) o (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfm when three letters picked without replacement from {f: 17, m: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 8*x**2 - 46*x - 295. Calculate q(-8).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 - (-2060)\/25 - 5*(-2)\/(-25). Do -26 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z**2 + 11*z + 5. Let k(s) = 5*s**2 + 10*s + 5. Let j = -6 + 11. Let d(q) = j*k(q) - 4*g(q). Determine d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171121 is divided by 915.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 2*t**2 + 3*t - 19*t**3 + 27*t**3 in the form m*t**2 + h*t**3 + g + i*t and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 416, 823, 1208, 1559, 1864, 2111, 2288?\nAnswer: 2383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4\/2 - 19*q**3 - 56*q**2 + 592*q + 1920 = 0.\nAnswer: -4, 6, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 7:45 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 21 = -2*w, -4*j + 2*w + 15 = w. Solve 4*s = 20, j*i + 4*s = -2*i + 35 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c - 348 - 133 = 0. Suppose 3*j - 4*f - 1 = -0*f, -20 = 5*f. Put 6, j, c, -2 in decreasing order.\nAnswer: 6, -2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25083 > -8111\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/7 + (-6)\/36*-6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1940832 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 3*n - 1. Let s be i(-1). Let b be (s + -3)*3\/(-6). Is b\/((-1 - 1)\/(-158)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -93, -212, -415, -708, -1097?\n\"Answer: -w**3 - 36*w**2 - 4*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16789.2 tonnes to micrograms.\nAnswer: 16789200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32178*61\nAnswer: 1962858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - f - 19 - 21 - 18.\nAnswer: -f - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32843*d**2 - 364660 wrt d?\nAnswer: 65686*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -35*m. Let y(d) = 106*d. Let z(j) = -3*p(j) - y(j). Let a(b) = 2*b**2 + 304*b + 2. Calculate z(a(v)).\nAnswer: -2*v**2 - 304*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 884715 * -2.6.\nAnswer: -2300259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 206*z + 407. What is n(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 28 = 58. Solve 4*d - 5*o = n + 8, -5*d - o = -9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {r: 4, s: 2, d: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 10 - 8. Let q be -2*(0 + z\/6). Suppose q*j + b = -79716 - 370285, -4*j + 4*b = 599996. What is j rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11756159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(((-2)\/109999)\/2). Let p be g\/4 + 3\/(-6). Round p to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 115044, 114984, 114908, 114810, 114684, 114524?\n\"Answer: -v**3 - 2*v**2 - 47*v + 115094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9*3)\/((-40)\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*g = c - 33, -3*c = g - 85. Suppose -c = 5*a - 9. Let m be a + 0 + 12\/6. What is the closest to m in -2, -1\/8, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 81.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 402038004 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -16. Suppose 2 = j - 1. Put -4, j, f in increasing order.\nAnswer: -4, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.1028 + -0.0528. Let z = -3.62 + v. Round z to 1 dp.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 81. Let s = 14.5 + -15. Let d = -12 + 12.02. What is the fourth biggest value in s, i, d, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - d**5 - d**2 + (0*d**4 + 0*d**4 - d**4)*(4*d - 4*d + d) - d**2 + 3*d**5 - 9*d**4 + 7*d**4 + 3*d**4.\nAnswer: d**5 + d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 - 3 = 0, -5*t + 14 = -2*j. Let n(m) = 11*m**2 - 3*m**2 - 6*m**t - 3*m**2. Let g(y) = 11*y**2. Give g(n(h)).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/107395 or -0.44?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**15*c**29\/c*c)**(-31) assuming c is positive.\nAnswer: c**(-1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41853.\nAnswer: 3, 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570000 rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29777*g**3 + 98177*g**3 - 12720*g**3.\nAnswer: 115234*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 280616872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a millennium in centuries?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*r - 6 = -k, -5*k - 3*r - 15 = 0. Let x(p) = -p - 8. Determine x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 7. Suppose 3*q = -s - 12 - 3, 0 = -4*s + q - 34. Let b be (-3)\/(s\/3) + -1. Solve w - 4*g = 3, r*w + b*w + 9 = -5*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Let d = -370 - -370.342. Let k = 0.542 - d. What is the nearest to 6\/7 in k, w, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/((-42)\/16))\/((-10)\/(-15)). What is the first derivative of 5*k + 205*k**2 - k - m*k - 248 + 273 wrt k?\nAnswer: 410*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -495060 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = -2*p, -3*i + 3*p = -0*p - 21. Calculate the highest common divisor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -12*s**3 - 1652*s**2 - 1064*s + 4384 = 0.\nAnswer: -137, -2, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/9*99\/330. What is the nearest to 2\/3 in n, 84, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 - ((-4)\/2 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*312\/1053*(-9)\/92.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 5969*f - 7091484.\nAnswer: -(f + 1637)*(f + 4332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*q + 10, 14 = 2*f + 3*f - q. Suppose -3*y + 34 = -2*t, 0 = -4*y - f*t - 13 + 49. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, f: 1, j: 1, h: 1, p: 2, d: 5}. Give prob of sequence djl.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2. Let k(b) = 26*b**2 - 16. Let z(f) = 3*f - 3*f + 3 - 5*f**2. Let q(r) = 3*k(r) + 16*z(r). What is o(q(u))?\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(392)*-2) + 4*(2*sqrt(315))\/sqrt(5))\/(-5*sqrt(225)*1 - (sqrt(225) + (sqrt(225) - 2*-3*sqrt(225)))).\nAnswer: -111*sqrt(7)\/910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 268327441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 a when four letters picked without replacement from vvvajaauamauvujmazm.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158209350 by -1690.\nAnswer: 93615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19756620 divided by -9\nAnswer: -2195180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 4 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -1380, -1, 0.9, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) - (sqrt(7) - (sqrt(7) - (sqrt(7) + -1*sqrt(567) + sqrt(567))))**2) + sqrt(7) + (-1 + sqrt(28)\/sqrt(4) - sqrt(7)).\nAnswer: -8 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 8b?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**4 - 6*k**4 + k**4 + (-k + 3*k**2 + k)*(5*k**2 - 2*k**2 - 2*k**2) + 0*k**2 - 2*k**3 + 0*k**4 - 3*k**2 - 2*k**4.\nAnswer: -k**4 - 2*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*l**3 + 25*l**4 - 24*l**3 + (2 + 0 - 3)*(-2 + 2 - l**4) as j + s*l + a*l**4 + z*l**3 + c*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1443*j + 12. Let k(y) = -2227960*y + 18530. Determine 6*k(o) - 9265*z(o).\nAnswer: 1635*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00073966 rounded to six dps?\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from jopjjojjo.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + s + 1. Let a(l) = 48*l**3 + 54*l + 8. Let p(j) = a(j) - 8*c(j). What is the second derivative of p(h) wrt h?\nAnswer: 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -24. Let s be 123*(22\/z + -4). Let h = 81 + s. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, t: 3, e: 1, n: 3, k: 1, d: 7}. What is prob of picking 1 e and 1 t?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Suppose -4*l + 3 + 9 = 0. Solve 5*p - 5*c - 35 = 0, -h*c - 3 = l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - (4 + -1) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/8)\/(1\/(-12)). Let v(o) = 8*o**2 + 6 - 8*o + 17*o - 2 + 3 - o**3. What are the prime factors of v(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 77\/(-1463) - 16535\/(-95). What is the highest common factor of 1798 and p?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 40\/8552031, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 119386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q - 63. Let z be x(9). Suppose z = 3*j + n - 30, -n + 40 = 4*j + 2*n. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3694, 14584, 32352, 56686, 87274, 123804, 165964?\nAnswer: 213442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -392*d - 10*d**2 - 114 - 151 + 37 - 154.\nAnswer: -2*(d + 1)*(5*d + 191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 7:20 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 101494 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 0.076, 0.1, -19, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3332399288.\nAnswer: 2, 2143, 194377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4*g - 664, -7*i = -8*i - 2*g + 161. Let f = 346 - i. What is the greatest common factor of f and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 1. Let o(g) = 9*g**2 + 7. Calculate -o(x) - 4*y(x).\nAnswer: -5*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19285 greater than or equal to 18555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 205 + 4239 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 67 = 5*k, -3*k + 179 = 4*p - 8*k. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 573*n. Let c(k) be the first derivative of 2*k**3\/3 - 664. Give o(c(h)).\nAnswer: 8*h**4 + 1146*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from rmummrqmuuu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -0.0924.\nAnswer: -0.1924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389035 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2*(5 - 105\/25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 302519 (base 10) to base 5\nAnswer: 34140034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -728, -2, -32, 5, -3 in descending order.\nAnswer: 5, -2, -3, -32, -728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 39184864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/14786 + 332699\/207004. Calculate the common denominator of ((-3)\/(-8))\/((-36)\/138) and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5829.602 micrometers?\nAnswer: 5829602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 378, 2\/15, 1, 47?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 304460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 7*q = 30. Suppose -2*c - 6*n = -2*n, 0 = c + 4*n + q. What is the smallest common multiple of 14 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-7) - (-342)\/(-399). Solve -5*v = -p*v - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0*k**3 - 4\/11*k**2 - 2*k - 1\/110*k**5 + 1\/22*k**4 - 19. Find g, given that z(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-7*12\/(-504))\/((-1)\/2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 462 and 3806.0167.\nAnswer: 4268.0167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2\/9 + 500*m\/9 + 31250\/9 = 0. What is m?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Let r(n) = -2*n**2 + 5*n + 6. Suppose 5*s + u = -35, 0 = -5*s + 5*u - 4 - 1. Determine s*m(t) - r(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 32*c - 85. Let w be z(-29). Is w\/5 - 34482\/(-70) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 437082523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i = -27*i - 8. Suppose -2 + 22 = -i*o, 4*f - 20 = 4*o. Solve 2*q = -2*a + 4, q + 1 + 2 = f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - 0.1. Let b = o + 0.5. Let x = 1\/98 + -103\/490. What is the nearest to b in 3, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/2369782 and -67\/824272.\nAnswer: 18958256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 777 in 6, 22.08, -2\/5?\nAnswer: 22.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 5*h. Suppose 3*q = -4*d - 18, 4*d - 7 = q - 1. Let a be b(q). Differentiate j**4 - 2*j**4 + 8 - a wrt j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 125 = 46. Let l(v) = 4*v + 81. Let u be l(r). Solve 2*h - 3*k = 3*h + 12, -h - u*k - 22 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85.2 + -19.8. Let l = v + 104.9999894. Round l to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(18)*4 - (-1*sqrt(1152) - sqrt(1152) - sqrt(1152)))\/(6*(sqrt(441)*-5 + sqrt(9))).\nAnswer: -4*sqrt(2)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/81)\/((3190\/528)\/((-10)\/8))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79352511\/5 less than or equal to 15870501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1013568 and 28992.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 11*w + 7. Let k be r(11). Solve 0 = -4*h - 5 - k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600399 is divided by 50033.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/661743 and -119\/1617594.\nAnswer: 14558346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 23\/5, -0.5 in increasing order.\nAnswer: -0.5, 2, 23\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -5)\/(-1*(6 + 28)*1). Which is the biggest value? (a) 5 (b) -2\/11 (c) 37.9 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:24 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*r**5 + 334*r**4 - 2116*r**3 + 3726*r**2 - 2120*r + 152 = 0. Calculate r.\nAnswer: -19, 1\/12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278155*0.4.\nAnswer: -111262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -21*(-3)\/63 + -1*-7*18 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-130)\/4 + (-6)\/((-60)\/(-5)). Let u be -2 + (3 - p\/(-21)). Let k = -26.7 + 27. What is the nearest to 0.3 in -5, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -525*q**3 + 2*q**2 - 1. Let k be p(-1). Let h = 1649\/3 - k. Calculate the common denominator of h and (-142)\/12 + (-3)\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571431 smaller than 571430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/7)*i**(-2\/11)*i\/(i\/(i\/i**10))*i**(-6))**(-35))**(-3\/31) assuming i is positive.\nAnswer: i**(-16875\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 724, 1448, 2172, 2896, 3620?\n\"Answer: 724*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 1805. Let b(a) = -2*a**2 + 6*a + 279. Give s(b(d)).\nAnswer: -4*d**2 + 12*d - 1247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1aa5 (base 11) to base 7\nAnswer: -10513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z**2 - 8*z - 19. Let v be u(-4). Let h = v + 166. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1445 and 458065.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146450 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-35))\/(((-6)\/4)\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**3 - 20 - 12*q**3 + 20.\nAnswer: -25*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2270765 divided by -13.\nAnswer: -2270765\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) - (-40)\/25. Suppose -w - 2*r = -6, 3*w + p*r - r - 28 = 0. Suppose 2*k = w - 0. Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -349231 + 349244.89913. Let m = 13.9 - w. What is m rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -4, -1\/8, 2\/7 in decreasing order.\nAnswer: 63, 2\/7, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10501104*v**2 - 2*v + 25150487 wrt v.\nAnswer: 21002208*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-13)\/(-4)*4\/3. Let m(f) = f**3 + 15*f**2 + 14*f - 4. Let n be m(p). Suppose 3*x = -x + n. Calculate the greatest common factor of x and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*s. Let c(k) = 6*k**2 + 24*k**2 - 28*k**s. Let w(q) = 4*q + 0*q + 9*q. What is w(c(r))?\nAnswer: 26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7799 + 0.2431. Let z = o - 1.03. Which is the second smallest value? (a) z (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1841, -3, 4, -274 in decreasing order.\nAnswer: 4, -3, -274, -1841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -4*x + q, -5*q - 81 = -2*x - 0*q. Let z = x - 28. Let c(a) = -a. What is the lowest common multiple of z and c(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1850 (b) -3 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 954 a factor of 3681579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 461543799 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427, -447, -481, -535, -615, -727?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2731, -2851, -2983, -3133, -3307, -3511, -3751?\n\"Answer: -w**3 - 113*w - 2617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(3 - 132\/40). Suppose -r = -16*n + 15*n. Suppose -n*t = -16*t + 1002. List the prime factors of t.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*r**3*y + 1257*d*r*y**3 - 2*r**3*y + 10*r**2 + 410*r*y**3 with respect to d.\nAnswer: -3*r**3*y + 1257*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 6 - 2 - 5 + 1.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6450 + 6656. Which is smaller: 1026\/5 or u?\nAnswer: 1026\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1343 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*q + 196*q + 103*q - 545 = 19447 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, h: 5, e: 3}. Give prob of sequence eepe.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 55 = -16*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*u = 31594 + 17090 - 4068 for u.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, m: 6, o: 11}. Give prob of sequence oo.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*515.\nAnswer: 61.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 988 = -0*w. Let a = -324 + w. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pdjpppd. Give prob of sequence pddp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 178278 + 503*g + 4*g**2 - 178278 as q*g + r + u*g**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/204*3*(-20)\/105?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -8*q**2 - 7. What is the tens digit of n(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z + 5 = 0, 0 = -3*q + 2*z + 208. Is 11 a factor of q\/(-3)*(1 - 1 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4900173 or -40\/9?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1605, 2.4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:45 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120.87 + 120.877841. Round z to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 5*x - 15 = 58*l, 4*x = -3*l - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 + 208 + 205 + 5*o**3 - 619.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -13. Suppose 2242 - 127 = 5*m. Suppose m*q = 428*q. Solve -d = -5*z - 3, q = s*z + 3 + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1367.427 + -2.427. Let s = -2481 + c. Let x = s - -1115.9999039. Round x to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5212 and 16.\nAnswer: 20848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t - 4. Let r(p) = -2*p + 3. Let j(f) = f**2 + 5*f - 99. Let i be j(-13). Give i*m(l) + 6*r(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 40*b**2 + 47*b. Let u(s) = 27*s**2 + 31*s. Let z(x) = -5*g(x) + 8*u(x). What is the second derivative of z(m) wrt m?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*y = 5395 - 5375, -3*z + y + 8 = -0*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(2\/(26\/195*-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 405096+-0.5\nAnswer: 405095.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-105)*(-3330)\/4884\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*y**2 - 2*y**3 - 42*y**2 + 0*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 8:11 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 2*q + 4596 = 4442, 59 = -5*x - q for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209450*y**2 + 2007127*y wrt y?\nAnswer: 418900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -20)\/(-6)*-7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 5:54 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-88)\/(-6) + (-1)\/(-3). Let v be (-3)\/b + (-102)\/(-10). Let s(x) = -x - 2*x - v + 2*x + 2*x - x**2. Calculate s(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - 4*n)*(-4 + 5 + 5) + 4*n - 4*n - n + (n - 2*n - 10*n)*(-3 + 0 - 1).\nAnswer: 31*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 24. Suppose 0 = f - s*f + 148. Suppose 0 = 4*y - 25 - 15. What is the remainder when f is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3318*f - 117656 = -2319*f + 14212 for f.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101693\/38 + -2677. Let l = 106901\/56096 + 1\/1753. What is the common denominator of v and l?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 41 = 67*w - 38*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 935 divide 14564495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 22356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001942 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3)*(-2*g + 7*g - g) + g - 4*g + g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6.99. Let x = -1.51 - r. What is x rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*y = 27*y + 1554. Calculate the remainder when 1481 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, w: 9, h: 2, p: 4, e: 1}. What is prob of sequence pw?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*z**3 - 82*z**3 - 75*z**3 - 68*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/2 + (-4)\/(-8). Let h = 7 - j. Let s be 3 - (1\/1 + h). Solve s*g + 20 = 0, -5*m + 4*g - g = 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 1, f: 1, j: 1, e: 1}. Give prob of sequence ec.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-328)\/(-10))\/(38\/285).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -3, -42 in decreasing order.\nAnswer: 6, 3, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/2)\/(36\/(-984)) and -43\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - ((3 - 2) + -5). Suppose -4*c = o + f*o - 20, c - 5 = 2*o. Put o, 4, 3 in descending order.\nAnswer: 4, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3340180.4 to the nearest ten thousand.\nAnswer: 3340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 16*u**2 + 11*u - 5. Is b(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -33688086?\nAnswer: 33688102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5673\/183 - (-9 - -17)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**3\/6 + 3*g**2\/2 - 8*g. Let k(f) be the first derivative of i(f). Let x(q) = q**2 + 2*q + 2. Calculate -k(v) + x(v).\nAnswer: v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95944.47 millilitres?\nAnswer: 95.94447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**3 - 228*i**2 - 1275*i - 1050 = 0.\nAnswer: -70, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197607793 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*z = 35 - 5, z + 26 = 3*h. What is the remainder when 1\/(3 - (-356)\/(-120)) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(8\/(-2)*13\/52)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**4 - 2*n**5 + 5*n**4 - 2*n**4.\nAnswer: -2*n**4*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 917 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -5*x**4\/24 + 5*x**3\/3 + 8*x**2. Let t(w) = 3*w**2 + 32*w - 6. Let h be t(-10). What is the units digit of u(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*s = -694, -5*c + 863 = 17*s - 21*s. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35032168 and 32?\nAnswer: 140128672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 33\/20, 3, 0.114, -0.01?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -36641541.\nAnswer: -18320770.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q + 207. Let w = 68 - q. Is ((-1354)\/8 + 1)*(-5 - w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20432372 or -20432371?\nAnswer: -20432372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 4*m**2 - 3*m**4 + 8*m**2 - 9*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*a + 14*a - 132. Let l(s) = -4*s - 4*s + 5*s - 1 + 2*s + s**2. Let h(t) = 12*t**2 - 11*t - 12. What is a*l(y) + 2*h(y)?\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (3 - 2) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -124328.\nAnswer: 37298.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:35 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:34 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 894 (base 12) to base 2.\nAnswer: 10011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 366.0567 - 383.02. Round j to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*r**3 - 63*r**2 + 5*r - 6721.\nAnswer: -264*r - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**3 + d**2 - d - 1. Let f be v(-1). Suppose -5*l + 2*t = -94, -5*l + f*t = -0*l - 88. Solve -u - 4*u = -3*c + 40, 4*u + l = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 112?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 10*w**2 - 12*w + 14. Let x be n(11). Let k be 3 + -5 + (12\/2 - x). Which is the smallest value? (a) 8 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*x - 941 - 5269 - 5022 - 6348 = 0 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148145600 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 80 = -4*l, -5*l + 2*h + 107 = 4*h. What is the remainder when 63 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33856646 is divided by 450.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 3*p**6\/20 - 3*p**5\/10 - 9*p**4\/4 + p**3 + 45*p**2\/4 + p + 17. Find j, given that c(j) = 0.\nAnswer: -5\/3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -700 less than -699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from fcjcccmjcccsdcs.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 350*a**2 + 205?\nAnswer: 700*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -26\/1123, -3, -1\/2, -2\/19, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 348 + 352 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p - 95. Let d(m) = -m - 1. What is -6*d(k) - y(k)?\nAnswer: -2*k + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 21*d**2 + 6.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-12))\/((d*d\/(d\/(d**(-5\/8)\/d))*d)\/d) assuming d is positive.\nAnswer: d**(-83\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4843*s**2 + 3374*s - 3373. Give a(1).\nAnswer: 4844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*k + 58*k - 11930 = 5*s, 0 = 3*k + 4*s - 35847. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -646, -77, 868, 2189, 3886, 5959, 8408?\n\"Answer: 188*v**2 + 5*v - 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (11 + (19 + -5 - 6))) + 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 403872 and 100968.\nAnswer: 403872","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Let w = 11.82 + -12.32. Which is the nearest to l? (a) 5 (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 702 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.37 + -0.37435. Round g to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 30*h**2 - 27*h - 62. Suppose -t + 49 = -5*i, 1 + 11 = -3*i. Let a be p(t). Let o be (-2)\/12*a*9. Solve 0 = 8*m - o*m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178 a factor of 273470194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110022 + 2211222012?\nAnswer: 2220102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10 + 2 + w - 7 wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let i(w) = -1 + 4*w + 1. Let s(f) = f - 11. Let y be s(6). Let g(j) = y*z(j) - i(j). Let n(x) = 7*x. Calculate g(n(m)).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549701, 549632, 549501, 549296, 549005, 548616?\nAnswer: 548117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 52*d = -120. What is the lowest common multiple of d and (-1)\/4 - 243\/(-12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91250525 divided by 1?\nAnswer: 91250525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48405 = -6*c - 7623. Suppose -5*d - 2*s - 10090 + 44107 = 0, 2*s - c = -d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*s**4 + s**3 + 321*s**2 - 44750*s wrt s?\nAnswer: -216*s**2 + 6*s + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4125 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 14*x**2 - 2*x - 2. Let k(d) = d + 1. Give -2*k(v) - r(v).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*k = 2*k, -5*w = -5*k + 25. Let d(u) = 472*u**3 - 955*u**3 - 2 + 476*u**3 - 2*u**2. What are the prime factors of d(w)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -38*n**2 - 7376*n + 29313. Calculate f(-198).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - 12. Let g be (6\/(-4))\/((-21)\/518). Let q = i + g. Solve -d - 9 = -3*d - h, 3*d + h - q = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(1\/((-2)\/(-4))). Let c = 1 + p. Solve 3*k + 24 = 3*t, -5*k - c*t = 6 + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 34. Determine a so that -25*a**4 + 15*a + x*a**2 + 3*a**2 + 60*a**3 + 5*a**5 + 55*a**4 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-10)*120\/16*-62. Solve -g*t = -352 + 910 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 2112?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m = -61*m + 510 + 4458 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7721802 divided by 3966\nAnswer: -1947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -713, -2408, -5001, -8300, -12113, -16248, -20513, -24716?\n\"Answer: 32*d**3 - 641*d**2 + 4*d - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1243, 1242, 1239, 1234, 1227?\n\"Answer: -y**2 + 2*y + 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-5 + -2 + 2). Let v be (-2)\/s*(-342 + 2). Let i = 53 - 36. What is the highest common factor of i and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 46\/3, 4, -13\/7?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2423 (base 9) to base 8\nAnswer: -3413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000096859127 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 8\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v - 430 = 440. Suppose -5*w + 0*w + 4*s + 141 = 0, 0 = -5*w + 3*s + 142. Calculate the greatest common factor of w and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543783385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*q - 96*q + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -220301213 from 0.11.\nAnswer: 220301213.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -248537*i + 248537*i + 15*i**2 in the form l + v*i + m*i**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73547, -147112, -220667, -294206, -367723?\nAnswer: -441212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 7. Suppose -j = -a + 2, -4*a - 17 = 21*j - 20*j. Determine l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -310499 + -1117045. Let i = u + 1427540.000038. Let b = i - -4. What is b rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 18*b**2 - 11*b - 36. Let p be a(-18). What is the greatest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768 and 123891072?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p + 905 = 2849. Calculate the greatest common factor of p and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = -59*f + 102*f. Put f, -3, -22, 4, 0 in decreasing order.\nAnswer: f, 4, 0, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 10*a**2 + 7*a - 15. Let j be x(-9). Suppose 13*b = -9*b. Solve j*p + p - 16 = b for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, b: 1}. Give prob of sequence yb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -2 (c) -101\/34 (d) -0.023 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 11. Solve -1 = a*s + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 612 = 65*r. Suppose 4*u - 5*s - 17 = 0, -3*u + s + 3*s + 13 = 0. Sort r, u, 1 in ascending order.\nAnswer: r, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199811.8 decades to years.\nAnswer: 1998118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -3*s - 0*v, 4*v - 4 = -4*s. Sort 0, s, -3 in descending order.\nAnswer: s, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65429873?\nAnswer: 3257, 20089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*m - 259*m - 1575 = -78*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 + x**5 + 3*x**5 + x + 19*x**4 + 19*x**2 - 20*x**3 + 51*x**3.\nAnswer: (x + 1)**3*(x + 2)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-10)*-18*(365 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476353*n + 476357*n = 2*r - 16, r = 7*n - 12 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 1. Let q be r(-2). Suppose -n = 2*t + 2*t, 3*t = n. Let s(z) = -z**3 + 10*z**2 - 27*z + 2. Let v be s(5). Sort q, v, n in descending order.\nAnswer: n, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -30*c**3 - 120*c**2 + 109*c + 430. Give a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 14 = h, 4*h + l - 14 = -l. Let w = 4 - h. Suppose w*t - 3*k + 18 = 0, 3*k - 13 = -2*t - 0*k. Which is bigger: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*k - 7*b + 424 - 85 = -4*b, 21 = -3*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7168*-0.087376.\nAnswer: 626.311168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = 3*b, b - 3*y + 6*y + 2 = 0. Let g be (2 + 15 + -1)*(b - -4). Calculate the highest common divisor of g and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 + 12*g - 12. Let s(m) = -11*m + 21. Let x(j) = -2*j + 4. Let t(o) = -s(o) + 5*x(o). Calculate -i(p) + 12*t(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 10) to base 15.\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {u: 3, t: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 2*m**2 + 1. Let t(n) = -1598*n**3 - 204*n**2 - 102. Give -102*j(k) - t(k).\nAnswer: 1496*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**3 - i**2 - i + 10. Let n(u) = 2*u + 11*u**3 - 4*u**2 + u - u - 21 + 6*u**2. Let r(j) = 6*n(j) + 13*v(j). Give r(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*c + 13*c**4 + 102*c)*(156*c - 257*c + 129*c).\nAnswer: 364*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, j: 3, z: 1, f: 1, l: 4, w: 2}. Give prob of picking 1 j, 1 f, and 1 w.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 2653054209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(130702 + 665*n - 130702) to p*n + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = 3*v, -g - 17 = 3*v - 13. Solve v*j = 3*j + c, 5*c - 15 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 12*l = -1140. Find the first derivative of -356*v - l*v + 79 + 654*v wrt v.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -75 (c) 8 (d) 299\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, s: 3, t: 4, o: 4}. What is prob of sequence ooxs?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q + 9. Determine z(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2 - 2. Let f be 0\/7 - (-2 + 2). Suppose -4*a + 7 - 15 = f. Let h(x) = -4*x**2 - 2. Calculate a*y(b) + 3*h(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 1. Suppose -14 = -3*q + 5*i + b, 3*q - 8 = -i. Suppose j = 7 - q. Solve 3 = f - 2*w + 2, j*f + 6 = 3*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 4*u + 7. List the prime factors of p(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 7*u**5\/60 - 5*u**4\/24 + 5*u**2. Let k(t) = -t - 2. Let j be k(-7). Let r(q) = -6*q**2 + 4*q. What is j*r(l) + 4*h(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 40 + 84 = 4*t, 2*p + 16 = 4*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*x - 24. Suppose -5*u + 34 + 16 = x*s, 3*s = 15. Solve -q + u = 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 19*u - 7. Let q be z(-6). Let b = q - 24. Is b < 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i + 2*f = 47, 2*i = -5*f + 13. Let r = 60 + -42. Let j = i - r. Which is the closest to -0.1? (a) -1\/7 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 + 9*n**2 + 9*n + 11. Let k(l) = -2*l**3 - 2*l**2 - 2*l - 3. Let m(b) = -9*k(b) - 2*o(b). Let d(j) = 13*j**3 + 16. What is 2*d(f) - 7*m(f)?\nAnswer: -2*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.7202 millennia in decades?\nAnswer: 20672.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/220 + 7*t**4\/11 - 392*t**3\/11 + 10976*t**2\/11 - 552*t. Let s(h) = 0. What is h?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 344, 271, 80, -283, -872, -1741, -2944?\n\"Answer: -9*v**3 - 5*v**2 + 5*v + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*b - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 0.4.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149328 is divided by 49653?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.837 + -9.163. What is the smallest value in -4, c, -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-1)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161620529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = k. Let h = 10 + k. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + -5 - (sqrt(68)\/sqrt(4)*-2)**2.\nAnswer: -73 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -23, -2832 in decreasing order.\nAnswer: -8, -23, -2832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 19 = -6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*u = 171*u - 1702. What is the highest common divisor of u and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)*x)**(9\/4))**(-7\/6)\/(x**(-4)*x**2*x*x**(2\/7)\/(x*(x\/x**0)\/x*x*x*x)) assuming x is positive.\nAnswer: x**(411\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*g = -3*l - 8, -3 = 3*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a century?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.5 - 158. Which is the nearest to 9\/2? (a) w (b) -4\/5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -157*s**8\/336 + s**7\/210 + s**4\/12 + 89*s**3\/6 + 1270*s**2. Find the second derivative of x(g) wrt g.\nAnswer: -3140*g**3 + 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 100*j + 97. Let n(h) = 2 - 1 + 113*h - 218*h - 3*h**2 + 106*h. Let l(r) = -n(r) + x(r). Factor l(c).\nAnswer: 3*(c + 1)*(c + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, 5, 30?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -15. Which is the second smallest value? (a) -0.3 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 1, -3\/2, 23, 0.5, -39467?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7478 is divided by 187.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0\/(-2)) + 13. Let m(u) = 3*u + 46. Suppose -61*q + 126 = -70*q. Let h be m(q). Calculate the greatest common factor of a and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let j(l) = 70*l. Let x be (6\/(20 - 8) - 0)*-210. Give x*m(d) - j(d).\nAnswer: 35*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40951, -83455, -125957, -168457, -210955, -253451, -295945?\nAnswer: -338437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u**(-1\/10)\/u))**(-2\/13)\/(u**(-2)\/u*u\/(u*u**14)*u*u) assuming u is positive.\nAnswer: u**(934\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 88451307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1420595.\nAnswer: 5, 11, 23, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 732\/30*-10*(-9)\/6. Suppose -l - 3*r = 3*l - u, 83 = l + 5*r. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 236\/287021 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1840085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = -3*a, -2*u + u + 2 = 3*a. List the prime factors of 24\/16 - (-149)\/a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47705216 to the power of 1\/2, to the nearest integer?\nAnswer: 6907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.000023 + 78. What is y rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -46. Suppose -u = 3*j + 637. What is the tens digit of 4\/20 + j\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, f: 3, a: 3, c: 1, r: 1, y: 5}. What is prob of sequence ylf?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -35.91*9\nAnswer: -323.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 550 + -555. What is the closest to 0.02 in -1, -3, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8)*-2*(0 + -2). Sort 4, 3, 2\/7, g in increasing order.\nAnswer: g, 2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3198249 + -488?\nAnswer: -3198737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -912610 times 0.096?\nAnswer: -87610.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3965293 (base 11) to base 12.\nAnswer: 23693a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i - 4. Let s be p(1). Suppose -6*c = -c + s*x + 60, x - 48 = 3*c. What are the prime factors of 10\/(-4)*(-21)\/c*-26?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142633484 and 1076?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2123 in 7, 5, -2942?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 628807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w + 27. Let b(a) = -6. Let h(m) = -4*b(m) - q(m). Give h(10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(11)) + 1 - (-1 + sqrt(275) + -4).\nAnswer: -10*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748328345.\nAnswer: 3, 5, 38851741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 9*r - 4. Let w(l) = -4*l + 28. Calculate the remainder when m(6) is divided by w(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*j - 2052 - 943 - 65 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/286 and -22\/975.\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*h**4 - 20191*h**3 + 1512492*h**2 - 170284*h - 172592 = 0. What is h?\nAnswer: -644, -2\/7, 2\/5, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 318 = 4*j, -u + 384 = 5*j + 2*u. What is the remainder when j is divided by (-3 - 34 - 3)\/(-1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = -o + 7, 8 = 4*p - 5*o. Let c(v) be the first derivative of v**4\/4 + v**3\/3 - 3*v**2\/2 + 3*v + 32424. What is c(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*b**2 - 94*b**2 - 299*b**2 + 3*b + (-b**2 + 0*b**2 + 3*b**2)*(-4 + 1 + 5).\nAnswer: -278*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Suppose -3*i + o = -11. What is the remainder when i is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38986 and 2952900?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5930928 minus 0.14?\nAnswer: -5930928.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1057878\/11 - 11240441\/110. Let d = w + 6007. Find the common denominator of d and -73\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1650259848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3019 - 4071 + 2030 + 15*o**2.\nAnswer: 15*o**2 - 5060","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*m = 16, 0*u + 2*m = 4*u + 6. Suppose v - 2*g - 14 = 0, -g + 2 = -2*v + 15. Is (v\/(-6) - (-8115)\/9)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2599149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3339, 3291, 3161, 2907, 2487?\n\"Answer: -7*r**3 + r**2 - 2*r + 3347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 92 = -3*a + 5*a, 0 = -4*a + d + 156. Let z = -656 + 883. Calculate the remainder when z is divided by a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -20. Suppose -l*f - 8*f = -2596. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6*s. Suppose -4*h = -2*a - 32 - 8, h - 2*a - 4 = s. What is the highest common divisor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 910, 944, 980, 1018?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/15 + 36\/(-15). Let v(d) = d**2 - 6*d + 5. Let h be v(6). Sort h, u, 1 in decreasing order.\nAnswer: h, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -3*l - 393. Is -70\/19 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 89744, 89736, 89730, 89726, 89724, 89724?\n\"Answer: z**2 - 11*z + 89754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1345363.33 - -0.0209024.\nAnswer: 1345363.3509024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:01 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19527?\nAnswer: 3, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*((sqrt(27)\/(-2*sqrt(9))*-6 - (3*(sqrt(12) + sqrt(12)*1) - sqrt(12)))*-3)**2.\nAnswer: -15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1244411892 by 147198.\nAnswer: 8454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13c3 + 34a?\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186078424 and 127036.\nAnswer: 9772","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + 8*t**5 + 0*t**5 + (2*t**3 - 14*t**3 + 0*t**3)*(-3*t**2 + 0*t**2 + t**2).\nAnswer: 29*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -1405181319 divided by -3\nAnswer: 468393773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 21*d + 2. Let v be l(1). Let t = v - 18. What is the second derivative of 14*o**4 - 3*o**4 - 13*o + 5*o**4 - t*o**4 wrt o?\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -793, -4 in decreasing order.\nAnswer: 3, -3, -4, -793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.4963 and 1.244.\nAnswer: 5.7403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3912 + 12786 = -220*b - 33*b for b.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:14 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1*(-6)\/4. Suppose -5006 = -13*i - 4954. Solve 0 = u + s - z, -4*u - 5*s = -15 + i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q = -37*q - 22527. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Suppose 0 = 3*x + 5*y - 1, -3*y + 4*y = -3*x + 5. Let t be x\/6 - 1038\/(-18). Let w(g) = 58 - t - 2*g. What is i(w(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 + 412*o**3 + 2760*o**2 - 14832*o - 94176 = 0.\nAnswer: -6, 6, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*k + 54*k - 174*k + 11*k**3 + 41*k + 82*k**2.\nAnswer: 11*k**3 + 82*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -1, 3, -15.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccssggpcpc. Give prob of sequence gpgs.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 + 0*p**3 + 4*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 1. Let k be o(-1). Let d = 11 - 7. Sort k, d, 5 in increasing order.\nAnswer: k, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2041\/15 - 136. Let x(a) be the third derivative of 0*a + 0 + 0*a**3 + 2*a**2 + 1\/6*a**4 - s*a**5. What is the second derivative of x(p) wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3316013909 to the power of 1\/3, to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 12:29 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 52 + 31 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -8. Let k be (4\/12)\/(u\/(-18)). Which is the closest to -1? (a) -1 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.04, 2\/5, 1 in ascending order.\nAnswer: -1.04, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -1\/3 (b) -29 (c) 12 (d) 2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g + g**2 - 2 + 4 - 11*g**3 + 3 - 3 to v*g + f + a*g**2 + b*g**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 39. Let j = -34 - -8. Let h = j - -38. Solve -3*a + 0*i = 3*i + h, -o = 4*a + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 divided by -11757293\nAnswer: 79\/11757293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n + 253. Calculate a(-26).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-1\/4))\/(g\/g**(2\/5)*g))\/(g**(2\/7))**(-2\/15) assuming g is positive.\nAnswer: g**(79\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 25576910.5 to the nearest 100000.\nAnswer: 25600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*6\/10 - 232\/(-2). What is the highest common divisor of 238 and m?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-307)\/2149)\/(6\/(-1722)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.5 (b) -1 (c) 16.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/sqrt(3)*3.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2176769, 2176768, 2176767, 2176766?\n\"Answer: -l + 2176770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178 and 220186.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1189.2 + -1202.2. Is 1\/14 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -820 - -819.5. What is the biggest value in b, -0.0172, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404177 divided by 2.\nAnswer: 404177\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/201, 1\/2 in descending order.\nAnswer: 1\/2, -2\/201, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44183112 to two dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(70\/4)*348\/12\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*b, 4*b - 2*j - j - 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*h = 7 + 8, 5*j + h = -10. Let c be (2 + j)\/(3\/(-18)). What is the tens digit of (-64)\/c - 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/392*-7*1\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + i + 3*i = 24, -n + 2*i = -3. Suppose 3*f - n = 4. What is the second derivative of 2*w**2 + f*w**2 - 4*w**2 + w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31664*f**6 - f**4 - 5*f**3 + 435*f**2 + 2*f + 163.\nAnswer: -3799680*f**3 - 24*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26878897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -16*o**2 + 4*o + 9. Let p(l) = 5*l**2 - l - 3. Suppose -791 = 84*w - 91*w. Suppose 107 = 3*b + w. Determine b*r(h) - 7*p(h).\nAnswer: -3*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(8\/(-1276)*-55*(-14)\/(-35)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 162090 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1743991683 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27281?\nAnswer: 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/((-2587)\/1592).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wiiiiwwiweieeiwiww. Give prob of picking 2 e and 2 i.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-2 - (2 + 7 + -7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3600886 divided by -3\nAnswer: 3600886\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 6 - 6) + (2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**3 + 6*g**2 + 8*g. Let u(c) = c**3 + c**2. Let m(y) = -o(y) + 6*u(y). What is the second derivative of m(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128 and 36.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 e, and 2 h when four letters picked without replacement from {h: 2, e: 2, p: 2, k: 1, x: 1, n: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -304915 less than or equal to -304924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 15 = -3*i + 4*l, -3*l = -4*i - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -67. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2209 - -3441. Suppose -148*m + 155*m - i = 0. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 13. Put h, -5, -4 in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = g - 11*c - 16906, -4*g + 2*c + 67694 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + (50 - 16) + -71 - (104 - 0)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4078*b + 29 = 7*y + 4079*b, -4*y - 3*b + 2 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 - (2 + 1 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.015 + 1.715. What is the closest to 8 in -1\/3, w, -42?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.444 + 0.4439581. What is h rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 0.4 (c) -1\/9770\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-6 - -11) + -9 - -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2760 divided by -24\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 665 - 666 - (13 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 875635217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmimicrcmmmiiiimiim. What is prob of picking 2 r and 1 c?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 5*j + 237. Let n = j - 33. Suppose -n = -5*r + i - 4*i, 0 = -2*r + 3*i + 31. Calculate the highest common factor of 99 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, p: 3}. What is prob of sequence dddd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let y be (-3)\/(-1*(n - 1)). Let x(i) = 3*i**2 + 2*i. Let l be (-24)\/108 - (-20)\/9. Let k(g) = -4*g**2 - 3*g. Calculate l*k(p) + y*x(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*m + 824, -3*c - 2*c + 1030 = 5*m. Suppose 2*r = 3*y - m, 3*y = -2*r + 3*r + 208. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 10*f**3\/7 - 68834*f**2\/7 - 938048*f\/7 + 55176 = 0.\nAnswer: -14, 2\/5, 6897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -57.9. Sort 0.3, 0, x, -4 in decreasing order.\nAnswer: 0.3, 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1 (c) -10608\/11 (d) -0.081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {z: 6, o: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1510*f**2 + 23*f + 56. Is h(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 3\/7 (c) 2 (d) 8 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(76) + -2*sqrt(76))*-3 - -4*(sqrt(76)*-2 + sqrt(76))))\/(3*(((sqrt(192) - sqrt(192)*-1) + sqrt(192))\/sqrt(8))\/sqrt(6)) + 3.\nAnswer: -5*sqrt(19)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118682930 divided by 10190?\nAnswer: 11647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34045463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d + 0 + 1\/4*d**4 + 0*d**3 + 3\/2*d**2. Let h be y(-3). What is the greatest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n. Let d = 4 + 0. Suppose -16 = -d*i - 0*i. Let s(o) = -i*o**2 + 7*o**2 - o**2. What is q(s(u))?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 16*t**2 - 14*t + 53. Determine g(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -3889\/2, 1\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -618, -1089, -1950, -3207, -4866, -6933?\n\"Answer: -w**3 - 189*w**2 + 103*w - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 261\/(-12)*(-224)\/21. Let d = m - 237. Suppose 2*p + 8 = -0*z + 5*z, 0 = 2*z. Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2. Let c(r) = -96350*r. Calculate x(c(l)).\nAnswer: 18566645000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1375079, -2750376, -4125673, -5500970, -6876267, -8251564?\n\"Answer: -1375297*m + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 4:00 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/14*(-91 + 113).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*b + 3913 + 4427 = 24. Calculate the highest common factor of b and 900.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*g)*(5*g**3 - 3*g**3 + 0*g**3) - 6804*g**3 + 6804*g**3 - 67*g**4 + (6*g**3 - 3*g**3 - g**3)*(-1 + 1 - 2*g).\nAnswer: -75*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 4) to base 9\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 31. Let j be (-3 + 1)*3\/c. Let x(s) = -6*s**j - 15*s + 7 + 13*s - 2 - s**3. Calculate x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1157*m - 17502. List the prime factors of i(58).\nAnswer: 2, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + 39. Let j be v(-9). Solve j = 6*r - 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/8))**5*f**(3\/16)*f**(-2\/25))**30 assuming f is positive.\nAnswer: f**(8379\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 1935*b - 5850.\nAnswer: 5*(b - 3)*(b + 390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4*i**2 + c**3*i**2*o + 596*c**3*i + 2*c**2*i*o - 2*c*i**2*o - 37*c*i*o - 47*i**2 wrt c?\nAnswer: -48*c*i**2 + 6*i**2*o + 3576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -81*i + 593. Let g be b(0). Is g equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -61047 divided by -20349.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, 5 in decreasing order.\nAnswer: 5, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2210323?\nAnswer: 2210321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/42*(-3)\/(-1). Let m(z) = -2*z - 6. Let q(y) = 2*y + 5. Let c(l) = 6*m(l) + 7*q(l). What is c(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*d**3 + 5*d**2 + 23*d + 6983 wrt d?\nAnswer: -27*d**2 + 10*d + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322.211 litres in millilitres?\nAnswer: 4322211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742303211?\nAnswer: 13, 57100247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492801148?\nAnswer: 2, 7, 127, 139, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 2*l + 5. Let j be t(-3). What is the tens digit of 18 - (2\/(-1) + j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, c: 7, d: 2, k: 1, w: 1}. Give prob of sequence wk.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*f - w, -46*w = 5*f - 42*w + 18. Let i = -4 - -3. Is f < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = -3*j + 24, 0 = -3*j - 2*u + 12. Suppose 5*g - 3*q - j = 0, -q = 2*g + q - 12. Solve g*v + 0*z + 13 = 4*z, -z = -1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 145*n**3 + 139*n**3 + 4*n**2 + n**4 + 45*n + 3*n**2 - 4*n**2 - 281*n**3 to the form x*n + g*n**4 + m*n**3 + w*n**2 + u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88827*t**3 + 43*t**2 - 10*t**2 - 7*t**2 + 88806*t**3 - 15*t**2 - 10*t**2.\nAnswer: -21*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {w: 3, r: 3, z: 3, g: 5, v: 2}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193158 is divided by 13792.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p + 34*p + (-3*p + p + 4*p)*(3 - 3 + 1))*(2 + 4*p + 4 - 5).\nAnswer: 160*p**2 + 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10771, 10828, 10931, 11086, 11299, 11576, 11923, 12346?\nAnswer: 12851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2337005.\nAnswer: 5, 11, 42491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 960\/43 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51423*g**3*s**2 - 17*g**3 + 2*g*s + 11*g - 6*s wrt s.\nAnswer: 102846*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -15*h**2 + 4*h + 4. Let f(s) = 14*s**2 - 3*s - 3. Let o be -2 - -1 - (4 - 2). Let v be (-13230)\/3375 + (-12)\/150. Calculate o*l(d) + v*f(d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -320 + 322. Solve 0*j - 8 = -o*j, 4*z + j + 8 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2062, -12, 35, 4 in ascending order.\nAnswer: -2062, -12, 0, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 53 + 30 = 3*c, c = -t + 9. Suppose 4*k - 4*r - 61 = -13, 5*k + 5*r = t. Let i(w) = 16 + 4*w + 0*w - 5*w. Give i(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5306 and 3.\nAnswer: 15918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-6)\/10)*1. Let l = 7 + s. Solve -l*q - 5 = -13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 85112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = z - 2*b, -3*z - 4*b = -6 - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 4*u. Suppose -3*s - p + 20 = 0, s = -p + 2*p. Let m be d(s). Calculate the highest common divisor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d)**(-21)*(d\/(d\/((((d\/(d\/((d**(9\/7)\/d)\/d)))\/d)\/d)\/d)))\/(d\/d**1*d*d) assuming d is positive.\nAnswer: d**(254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 3, z: 3, y: 2, s: 7, f: 1}. Give prob of picking 2 y.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(5 + (sqrt(196)*-3)\/(sqrt(7) + 2*sqrt(175))).\nAnswer: -6*sqrt(7)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 82431*a - 82431*a - 18263*a**4 + (-2*a**3 - 2 + 2)*(0*a - a + 0*a) in the form f*a**4 + i*a + z + l*a**2 + o*a**3 and give f.\nAnswer: -18261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*i**2 - 68*i**2 + 21*i**2 + (36*i - 52*i - 61*i)*(i + 4 - 4) in the form g + o*i + z*i**2 and give z.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20353268 to the nearest integer?\nAnswer: 4511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 556.5 to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 378012152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35134140?\nAnswer: 2, 3, 5, 585569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 5, -4808?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 716 + -720. Sort -1, 2, d, 0 in decreasing order.\nAnswer: 2, 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1642\/3653 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 91802.39 centuries in months?\nAnswer: 110162868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*c + 2*o = 117*c - 9, 3*o = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1021.8 + -1022. Let c = -0.3 + 0.26. What is the nearest to c in -3\/7, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45 and 91650.\nAnswer: -4124250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/3 - (-64)\/(-12). Put 1, u, 6 in decreasing order.\nAnswer: 6, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 17*g - 10. Let n be j(18). Let w = n + -6. Solve 2*v = 2*c, w*v + 0*c = -c + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4426 divided by 11?\nAnswer: 4426\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 144, 483, 1054, 1863, 2916?\n\"Answer: m**3 + 110*m**2 + 2*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1944?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 888*f = 639*f - 3486 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 16, -13\/3, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Let x = 4\/23 + -5\/161. Which is the third smallest value? (a) k (b) -0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50d + -3?\nAnswer: 50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*h**2 + 14*h**2 - h**3 - 362*h**2 - 36 + 3*h.\nAnswer: -h**3 - 623*h**2 + 3*h - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-125 + 278 + 249)*(0 - 3 + 0)*(-3 + 1 + 1)*(1 + 2 + 0)*(-6*d + 6*d - 4*d**3) in the form n*d**3 + s*d**2 + z*d + m and give n.\nAnswer: -14472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvvccvvuvu. Give prob of picking 1 u and 1 v.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzxzhtyht. What is prob of picking 2 z and 1 y?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20200222012 (base 3) in base 8?\nAnswer: -401527","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -132? (a) -136 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5162 - 1171*b**4 + 5162)*(3*b - b - b).\nAnswer: -1171*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 11 - 2. Suppose -3*x - 9258 = -v*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let y(c) = -4*c + 5*c - 2*c. Let t(l) = 6*l - 4. Let h(p) = t(p) + 3*y(p). Let a(g) = -h(g) + 4*r(g). Let s(j) = -3*j**2. Give a(s(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/1)\/1)\/((-14)\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6578*z**5 + 862*z**2 + 4796*z - 524.\nAnswer: 131560*z**3 + 1724","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003242972 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388181970.\nAnswer: 2, 3, 5, 11, 19, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 18126864*u + 82145799618624.\nAnswer: (u + 9063432)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24838 - 21683. Calculate the remainder when 3161 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12000381?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 13*h**2 - 98*h - 1016. Let q be c(-12). What is the highest common factor of q and 292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**3 + 18*z**2 - 12*z - 8 = 0. Calculate z.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -318 + 315. What is the second biggest value in 73, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (9 - -4 - 20) - -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a80886 (base 14) in base 13?\nAnswer: 1241851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14 - 8\/2)*(-2)\/(-2). What is the third derivative of -t**3 + s*t**5 - 30*t**5 + 16*t**2 + t**3 wrt t?\nAnswer: -1200*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**2 + 12484450*l - 12484445 = 0.\nAnswer: 1, 2496889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from jjvvvvvjvhhjj.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 3*t**2 + 3*t**2 + (0*t**4 - 3*t**4 + 2*t**4)*(6*t - 3*t + 7*t) + t**5 - 4*t**5 + 5*t**5.\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-45)*(t*t\/(t*t*t**(-3\/8)\/t*t))\/t*t**(-1)\/t*t**5\/t**0*(t**1)**(5\/6) assuming t is positive.\nAnswer: t**(77\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/((-12)\/8))\/(-1). Let t(j) = 2*j - 1 - d*j + 0*j + j. Suppose 3*b - 5*f = 2, 4*b = -5*f - 34 - 10. Let s(v) = 9*v - 6. Calculate b*t(y) + s(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 159, 369, 667, 1053, 1527, 2089?\nAnswer: 2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23628 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -81*r**2 - 9. Let y(d) = -4*d + 55. Calculate i(y(j)).\nAnswer: -1296*j**2 + 35640*j - 245034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3*s + 6. Let x be c(-6). Let j = -411\/7 + x. Put 4, j, -3 in decreasing order.\nAnswer: 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165108575 by -1737985.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3742 + 20123 = 224*t - 9*t for t.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -546, -1228, -2184, -3414?\nAnswer: -4918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -23. Suppose -y*t + 79 - 1 = 0. Solve 2*w = 2*i - 18, -5*w - t + 10 = -i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-2)*340\/(-60)*4\/10?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 12. Suppose -j + h = j. Suppose 5*g - 3*f - 204 = 2*g, j*g - 343 = 2*f. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q - 751 + 1691 = -30*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8722 bigger than 78497\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**7\/1260 + q**6\/720 - q**5\/360 - q**4\/144 + 11*q**2 + q. Let z(y) be the first derivative of u(y). Solve z(a) = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2705164 and 616.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -112*r - 225. Give t(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c = 1992 - 692 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.23023 - 0.4\nAnswer: -0.63023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwh when three letters picked without replacement from {w: 1, j: 4, e: 8, s: 2, i: 4, h: 1}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -2 + -1)**2*5 - ((-2 + sqrt(162) + -3)*2)**2) + -2.\nAnswer: 30*sqrt(2) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 31*h**2 + 43*h - 132. Let x be z(-17). Which is the second biggest value? (a) -11\/3 (b) 7 (c) x (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 1 (c) 1569\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of ((0 - 41401) + 2\/(2\/(-5)))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((80\/(-6))\/(-8))\/((-30)\/(-72))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 32*a = -17244. Calculate the smallest common multiple of a and 6.\nAnswer: 2874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**3 - 8*s**3 + 0*s**2 + 0*s**2.\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 24*y - 188. What is f(6)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57603673*z + 228721408?\nAnswer: -57603673","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 0.08 (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33888195 divided by 2763.\nAnswer: 12265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116338847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.2. Suppose 13*y = 3707 - 3694. Which is the nearest to y? (a) -0.9 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 100504, 201005, 301504, 402001, 502496, 602989?\n\"Answer: -s**2 + 100504*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/1382929, -0.2, -4, 5?\nAnswer: 6\/1382929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 + 7 + 49 - 1 + 24 + 33 as l*u**2 + b*u + z and give z.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7633?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 107918513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlvvvlvv. Give prob of picking 4 v.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 29791?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39214*l**4 + 2*l + 17968 wrt l?\nAnswer: 470568*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than or equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/13 - (-524)\/(-312). Let z = 19\/12 + u. Which is smaller: z or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 18*k**2 + 35*k + 34. Let x be t(16). Suppose 3*z + 117 = -3*w + 6*w, -2*w + 4*z = -x. Solve 0 = -u + 2*u + b - 2, -5*b + w = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q = 25, 35 = -2*i - 7*q. Let r = 49 + -59. Sort 3, -5, i, r in decreasing order.\nAnswer: 3, i, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.96 + 18. Let l = g - 0.04. Which is the nearest to 2\/3? (a) 1 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:51 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, u: 8}. What is prob of sequence uuuu?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9241013 and 6821692?\nAnswer: 1589454236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -292, -214, -136, -58, 20?\n\"Answer: 78*p - 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 - 239*m + 123*m + 116*m.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - f = 1, -14 - 2 = 4*f. Let s = -0.1 - -0.2. Let v(l) = -l**3 + 3*l**2 - 2*l. Let h be v(2). Which is the nearest to -1? (a) h (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 55\/2 of a kilogram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 144. Let t = 52 - c. Suppose 2*f = -3*i + 6, -f + 0*i + 5*i = -t. Calculate the lowest common multiple of f and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736682884 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: What is prob of sequence rlr when three letters picked without replacement from elrlellssllsesrje?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 21 - 185\/12)\/((-20)\/32)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412500 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 8, t: 1, w: 10}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500890?\nAnswer: 2, 5, 13, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/14861527 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/5 - (-462)\/480 and -97\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2010260, -2010317, -2010412, -2010545, -2010716, -2010925?\n\"Answer: -19*y**2 - 2010241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212 and 4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -370 - -371 - (11 + (2 - 1) + 2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c**3 + 20*c**2 - 15*c. Let t(f) = 8*f**3 - 30*f**2 + 22*f. Suppose d - 40 = -33. Let b(s) = d*i(s) + 5*t(s). Factor b(a).\nAnswer: 5*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-12)\/(30\/(-15)). Suppose 35 = -d*u + u. List the prime factors of -4*7*u\/7.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/60 - ((-148)\/(-15) + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y**(-1\/5))\/(y\/y**(-2\/13)*y**(-3)) assuming y is positive.\nAnswer: y**(133\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362936755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2 - ((-16)\/16 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -1\/3*m**3 + 0*m**2 + 3 + 0*m. Let r(x) = -3*x. What is r(l(z))?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486 a factor of 153832935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50515044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -2*n, -2*c = 5*n - 18 - 0. Suppose y = n*l + 5319, y - l - 5326 = -6*l. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*((-1)\/(-2))\/((-3)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -137, -104, -89, -98, -137, -212?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-31)*(-155)\/10. Which is the second smallest value? (a) -0.2 (b) 3\/2 (c) -5 (d) -1\/3 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 12. Let c be -5*(3 + 144\/(-20)). Suppose -7*t = -c*t + 9*t. Solve 9 = 2*u + y, u - h*y - y - 8 = t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 3:03 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4*17)\/((-636)\/(-424))\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20058*r**2 + 261*r**3 + 10029*r**2 + 3 + 10030*r**2 in the form p*r**2 + a + d*r**3 + t*r and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113955410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137246042?\nAnswer: 2, 109, 629569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(21\/(-3)))\/(9360\/390)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2124\/(-24)*(-4)\/6. Is 60 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2084 * -3.\nAnswer: -6252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1296.08 + 4\nAnswer: 1300.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5*j - 10)*(-354*j**3 + 106*j**3 - 180*j**3).\nAnswer: -2140*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**3\/2 - 11*n**2\/2 + n. Suppose -j + 1 = -10. What is the tens digit of z(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6596178 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(3*sqrt(2)) - sqrt(60))\/(sqrt(108)\/(sqrt(54)\/sqrt(6))).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {u: 1, j: 4, m: 1, s: 4, p: 3, o: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w + 1. Let f(m) = 2*m**3 - 5*m**2 + 6*m + 2. Let z = 103 - 101. Let y(l) = 0*l - 5*l - l - l**z + 7*l. Determine w*f(j) + 6*y(j).\nAnswer: -2*j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 35 + (-6)\/3. Let y be ((-6)\/4)\/(3\/u). Let f = y + 30. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-18)*v)*v\/(v\/((((((v\/(v*v*v**(-3\/14)*v*v*v))\/v)\/v*v)\/v)\/v)\/v)*v))\/(v*v**(2\/27)*v*v*v*v*v\/(v*v**(3\/7)\/v*v)*v*v) assuming v is positive.\nAnswer: v**(-13015\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/3 - 264152*x\/3 + 5812312\/3 = 0.\nAnswer: -132098, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711 by -3.\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 - 33*i - 39287. Let u(b) = b**2 + 6*b + 7857. What is 11*u(m) + 2*z(m)?\nAnswer: m**2 + 7853","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:27 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - c + 9, 3*w + c = 19 - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(432) - (sqrt(432) - (sqrt(432) + -1)**2))*2*5 + -2*(sqrt(432) - (sqrt(432) - sqrt(432)*-2*1)).\nAnswer: -192*sqrt(3) + 4326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 242*g**2 - 5*g - 7. Let l(z) = -726*z**2 + 17*z + 23. Calculate -2*l(w) - 7*s(w).\nAnswer: -242*w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 19*r + 36. Determine t(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {c: 1, y: 2, f: 1, k: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*y = 48*y - 84. Let p = y + 33. Suppose -p*x = -4*x - 200. Solve -3*a - 2*a = -x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1598*h + 4526 - 2264 - 2262.\nAnswer: -1598*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -1, -119\/3, -3\/5, 0, 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p - 5. Let g = -46 - -50. Suppose 3*j + g = c + 12, -c + 2*j = 7. Determine u(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 979911509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-25)\/2*(-4 + 0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.5 + 23. Let o = 3 - 0. Let r = o - 2.9. What is the closest to 0 in y, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - u + 7. Let h = -22 - -74. Suppose 2*t = 6*t - h. What is the remainder when t is divided by q(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 91933, 19, 22 in decreasing order.\nAnswer: 91933, 22, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456 minus 1?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 + 75. Calculate the remainder when l is divided by (-1)\/3 + 62\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 14 = -10. Suppose 3*j = g*s + 227, 3*j = -0*s - 3*s + 237. What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79488410\/11 greater than -7226218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -510*n - 3577. Give y(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-3 + 1 + 0 + -4). Calculate the smallest common multiple of w\/2 - (-3)\/6 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 9 + 7 = 0. What is the greatest common factor of 38 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 21?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g + 70. Let h(o) = 31*o + 209. Calculate 6*h(m) - 17*k(m).\nAnswer: -m + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -290 + 288. Let o = 0.09 - -0.11. Which is the biggest value? (a) u (b) -5 (c) -1 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4437*x + 361. Determine a(0).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/13, 2\/5, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/96 - 5*d**3\/24 + 5*d. Factor l(v).\nAnswer: -v*(v + 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -768581 or -768582?\nAnswer: -768581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1198 + 837. Let w = 872 + n. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 6:40 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 130 = -956. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 2}. What is prob of sequence kxk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0.05, -0.4, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-225)\/(-650))\/9*26\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 16*b**4 + 60*b**3 + 61*b**2 + 15*b - 14. Let h(m) = -16*m**4 - 60*m**3 - 60*m**2 - 16*m + 16. Let v(c) = 3*h(c) + 4*z(c). Let v(i) = 0. What is i?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**7*d))\/d)\/(d\/(d\/((d\/(d*d**(1\/11)*d))\/d*d*d))*d*d)*(d\/(d**(1\/2)\/d))\/(d**(-3\/10)*d*d) assuming d is positive.\nAnswer: d**(-556\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 7316392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 16. Let t(p) = -p**3 + 6*p**2 - p - 7. Let h be t(5). What are the prime factors of r(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 0) + (-75 - 10). Let p = i + 87. Suppose k + 3*a - 3370 = p, -2*a + 1291 = -3*k + 11456. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 2*b - 11. Let z(m) = -m**2 + 3*m - 10. Give 5*x(w) - 4*z(w).\nAnswer: -w**2 - 2*w - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10*v = -15*v - 23, 3*d = -3*v + 45. Solve -5*r + 0*j + 2*j - d = 0, -5*r + 3*j = 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = 29*s. Solve -o + 3*a = s, 4*o = -o + 4*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.844 - 1.9. Let j = 159.756 + -161. Let g = j + k. What is g rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 4415847?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose -3*d - 82 = -3*z + 2*d, n*d - 8 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252 - 139. Let m be 36\/(-162)*(-4734)\/1. Let g = n + m. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482933 divided by -5.\nAnswer: 482933\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 76*p + 73*p - 80 + 43*p - 6*p**3 - 82*p**2 - 2*p**3 + 22*p**2 = 0. What is p?\nAnswer: -10, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6*x - 24 = 0. Let o = x - -18. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 32123*t - t**3 + 64196*t - 32073*t.\nAnswer: -t**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 500*w. Let x(v) = -206*v. What is x(j(u))?\nAnswer: -103000*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952895, -1905797, -2858725, -3811691, -4764707, -5717785?\nAnswer: -6670937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 6. Let v be l(2). Solve 3*j - 4*z - 6 = -3*z, 4*z = -4*j - v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l**(-5\/3)\/l*l))\/l)\/(l**1\/l))\/((l*l**(-1\/14))\/(l\/(l**9*l*l))))\/((l*(l**(-1\/5)\/l)\/l*l)**(1\/38)*(l**(-2)*l)**(2\/9)) assuming l is positive.\nAnswer: l**(-54071\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -20*g**3 - 7*g**2 - g + 7. Let p(q) = 19*q**3 + 6*q**2 + q - 6. Give 6*c(s) + 7*p(s).\nAnswer: 13*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*h, 4*w + w - 18 = 4*h. Suppose 5*d = w*d - 5*n + 682, -5*n = -4*d + 851. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 + 2*y + 1. Let i be f(-3). Suppose -5*d + 640 = -u, 3*u = 7 - i. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*n - n. Let u = 1739 - 1736. Put n, -5, u, 4 in descending order.\nAnswer: n, 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-64))\/((-18)\/48)*4\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 397177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*g - 99 - 19 = 0, -2*g - 242 = -4*d. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 16, 5, -370 in descending order.\nAnswer: 16, 5, 1, -4, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + 2 + -3 + sqrt(272))**2 + 0.\nAnswer: -24*sqrt(17) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522599461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/10)\/((-380)\/950))\/(6\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 423742 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3735 + 5684. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swssssssssssswsssss. What is prob of picking 1 w and 1 s?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -26123368?\nAnswer: -13061684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 41 - 25 = 0. Round c to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 less than -221881741.6?\nAnswer: -221881741.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/24*315\/350.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41\/3? (a) 3 (b) -2 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/21204882 and 25\/4712196.\nAnswer: 42409764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-18) + (-18)\/(-4). Let q(i) = -i - 2. Let n be q(-5). Factor -20*h - u - 3*h**3 - 21*h**2 - 6*h**n + 5*h.\nAnswer: -3*(h + 1)**2*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -296, -1158, -2584, -4568, -7104, -10186, -13808?\n\"Answer: b**3 - 288*b**2 - 5*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.368 - 0.032. Which is the fourth smallest value? (a) -0.29 (b) x (c) 1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from phkhkhk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*p - 52. Let a(i) = 0*i - i**2 + 0*i - 2 - i - 8*i. Determine a(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23047*o + 345508. Calculate x(15).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -9 + 0 + 2. Let w = 10 + g. Solve 0 = -w*f + 2*r + 7, -3*r = -4*f + 1 + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let j(x) = -x. Let m(b) = -10*b - 40. Let a(n) = -8*j(n) + m(n). What is s(a(k))?\nAnswer: -2*k - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17964.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 83*i. Let z(v) = -17*v + 4. Let w(p) = -13*p + 3. Let b(x) = -4*w(x) + 3*z(x). Calculate k(b(a)).\nAnswer: 83*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 11. Suppose -5*c - 89 = -z. Let y be 4\/(-10) - 321\/c. Calculate the greatest common divisor of y and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(12) - -2*sqrt(768) - sqrt(12))\/(sqrt(108)\/sqrt(2) - sqrt(54) - sqrt(6)).\nAnswer: -48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(76)*-4*6 + -5 - (-4 + 2 + (-1 + sqrt(76) + 3 - sqrt(76))).\nAnswer: -5 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 11:58 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 + a**3 + 2*a**3 + (0 + 0 - a)*(2*a - 2*a - 3*a**2) - a - 6 - 20*a**3 + 26*a**3 - 8*a**3.\nAnswer: 2*a**3 - a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q**2 + 7 + 15*q - 12*q)*(-67*q + 10*q - 6*q).\nAnswer: -189*q**3 - 189*q**2 - 441*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggbbb. Give prob of picking 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*w - 320 = 155*w. Let d = -245 + w. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 18*r**2 - 29*r + 25. Let c be q(16). Suppose -10*k - c + 73991 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20013617, -20013613, -20013593, -20013551, -20013481?\n\"Answer: h**3 + 2*h**2 - 9*h - 20013611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 2, x: 1, p: 13, c: 3}. What is prob of picking 1 k and 2 s?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 greater than 21172829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-72) + (-1)\/(-4). Let b be (-11)\/(-4) + (0 - -1) - 3. What is the third smallest value in b, n, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouoo when four letters picked without replacement from {o: 3, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*l + 3004 - 929 = 112 - 1923 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 8:35 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 278600 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -485 + 485 - 9*p + (0 + 2 + 1)*(p + 1 - 1) + p + p - p - 7 - 60*p + 9 - 2.\nAnswer: -65*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-21))\/(9\/42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/182)\/(53\/106).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*v + 10, -2*v - 2*v = -3*d - 19. Let f(i) = v - 2*i - 12 - i**3 - 20*i**2 + 4. List the prime factors of f(-20).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*l - l = -6, 2*w = -3*l + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 497*m + 190*m + 6404*m + 1126*m as r + n*m and give n.\nAnswer: 8217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -179086115?\nAnswer: -179086115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*n + 2*h + 6, 0 = -h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7 + 8)*(0 - m + 0) + m + m - 3*m + 2*m + 2*m - 2*m + 4*m - 5*m - m + 3 - 2*m - 3 + (-4 + 1 + 2)*(0*m + 3*m - 2*m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 4*j - 2*h, -12*j + 2*h = -4*j - 9*j + 48 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + sqrt(704) + 0 - sqrt(704)))**2 - (2 + 2*sqrt(704) + sqrt(704) + 1*sqrt(704) + -2 + sqrt(704))**2.\nAnswer: -17591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/2)\/(1\/2*(-20)\/(-230)*23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 6. Let q be ((-90)\/(-8))\/5*-16. Let d = -36 - q. Calculate p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**3 - 2*l - 49 + l**2 + 49)*(5 - 16*l - 65*l - 57*l) as b*l**3 + c + s*l**4 + u*l + h*l**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 1 - 2 = 451582*k - 451587*k, j - k - 3 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*c - 4)*(-2*c + 6*c - 5*c)*(-c + 4*c - 5*c + 3 + 4*c - 3 + (3*c - 7*c + 3*c)*(4 - 4 - 2)).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*u - 4 = 0, 5*n + 5*u + 16 = 3*n. Which is the fourth smallest value? (a) n (b) -3\/4 (c) -1\/8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 9 + 5 + 14 + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135817361 is divided by 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 33, 36, 31?\n\"Answer: -4*u**2 + 23*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3 - 9205*a**2 + 183679*a + 192885 = 0. What is a?\nAnswer: -1, 21, 9185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**6\/15 + s**5\/15 + 3*s**2. What is the third derivative of q(c) wrt c?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123298?\nAnswer: 2, 7, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13324501 (base 6) to base 10.\nAnswer: -446869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-455 + 232 + 223 + 552*x)*(34*x - 1709 + 1709).\nAnswer: 18768*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.398 * -17\nAnswer: 40.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**2 - 198*v + 1496. Calculate b(8).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -38, -4, 5.\nAnswer: -38, -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 80?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -24. Let k = 9 - n. Let r be 2\/(-18)*k\/5. Which is the second smallest value? (a) 1\/7 (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2384554 is divided by 230?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -5*o + 2*h, -h - 20 = -5*o - 91. Suppose w = -0 - 4. List the prime factors of (-171)\/o + w\/10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 w when three letters picked without replacement from ygygwzogyogyzk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12162649*i**5 + 5*i**2 + 1468*i - 826 wrt i?\nAnswer: 729758940*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/5)\/(14\/35). Let l(w) = w**3 + 9*w**2 + w + 5. Let x be l(u). Is 846\/4 + 2\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 22. Let x = 16 + j. Let w = -11.8 + x. Round w to zero decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 12\/20)*(1 + -6). Let h = c + 40. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2\/9 + 112*o\/3 + 1794 = 0.\nAnswer: -39, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 15) to base 11\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p*z**6 - p*z**3 + 6*p*z**2 - 2*y*z**6 - 3*y*z**2 + 2*z**2 wrt z?\nAnswer: -120*p*z**3 - 6*p - 240*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4417 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/63)\/(3\/(-14)) + 50\/12.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 340, -0.2, 7, -2\/3.\nAnswer: -2\/3, -0.2, 3\/7, 7, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -10, 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*c - c = -19, 0 = -2*c - 8. Solve 4*b - b - l = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -109*k - 2. What are the prime factors of w(-1)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.182 - 1.818. Which is the second smallest value? (a) -2 (b) 74 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 99 - 114 = 0. Let h(m) = -m**2 + 7*m - 2. Let y be h(6). Factor 0*z**2 + 0*z + 0 + 2\/7*z**p + 2\/7*z**3 + 4\/7*z**y.\nAnswer: 2*z**3*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 32 = -4*v + p, 5*v + 5*p - 65 = 0. Let t be -15*((-34)\/(-10) - 3). Calculate the smallest common multiple of 6\/v - 2\/t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 738\/11 - 67. Let a = -222.6 + 224.6. What is the closest to -1 in w, a, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 172 + -175.95. Let g = k + -0.05. Which is the nearest to 0? (a) 5 (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016265.7 rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19516331\/80 + -243958. Let i = -6901\/720 - b. Find the common denominator of 29\/27 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14949\/(-396) - -38)\/((-2)\/(-3))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 7 (c) -0.4 (d) 133 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -126, -4 in ascending order.\nAnswer: -126, -4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 + -4. Which is the third smallest value? (a) -5 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -82*b - 4. Let y be q(-7). Let g = 15290 - 15260. What is the greatest common factor of g and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 493 + 1720 = -2*i, 2*u - 4411 = i. Is u < 2203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 4*y**2 + 2. Let m be u(-4). Suppose 0 = -5*b + q + 109, -m*q - 2*q = b - 26. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*b + 53*b + 375427 = -367595. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 23330*t**2 - 69830544*t + 10396074024.\nAnswer: -2*(t - 5754)**2*(t - 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/9*(1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13127309 is divided by 1356?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*i - 13 = 0, -48*i + 154*i - 54*i = 3*g + 51*i - 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -590\/5499 or -1?\nAnswer: -590\/5499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 12121?\nAnswer: -12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 22739098?\nAnswer: 22739098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g. Let o(r) = r**2 + r + 16. Suppose -3*y = b + y - 12, 96 = 5*b + 2*y. What is the smallest common multiple of o(g) and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 18. Let v(s) = 15*s + 21 - q*s - 6*s - 3*s. Let f be v(-19). Which is the second smallest value? (a) f (b) 0.3 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 - 177. Let g be (r\/35)\/((-6)\/15). Let i(y) be the second derivative of 5*y**3\/6 - 3*y. Let p(a) = -9*a. Determine g*p(m) + 7*i(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -37. Let n = -3942\/5 + 54763\/70. Calculate the common denominator of n and 52\/(-20)*z\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10223003 (base 4) in base 7?\nAnswer: 106541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31046104?\nAnswer: 2, 3880763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 + -134. Let r = 230.2 + u. Put r, -4, 0.5 in increasing order.\nAnswer: -4, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2959966*d**3*g**3 - d**3*g**2 + d**3*g + 19*d**2 + 289*d*g**2 - 25*g wrt g.\nAnswer: 17759796*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1539) + -1)*-6)**2.\nAnswer: -10368*sqrt(19) + 887040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 185402 divided by -10906\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12017 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-8424042.5.\nAnswer: -1684808.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -9\/2*j**2 + 1\/120*j**6 + 0 + 7\/6*j**3 - 12*j - 1\/10*j**5 + 1\/4*j**4. Let f(v) be the first derivative of u(v). Give f(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 10758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18153949.\nAnswer: 11, 19, 86861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-6)*(-12)\/(-8). Let w(y) = -26*y + 209. Let c(p) = -18*p + 150. Let q(r) = 7*c(r) - 5*w(r). What is q(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 3749320. Let a(p) = 20*p**2. Calculate c(a(l)).\nAnswer: 20*l**2 + 3749320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -4*w + 4*h, w - 1 = 6*w + 4*h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220020222110 + -102?\nAnswer: 220020222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -14*z**2 - 2*z - 8. Let c(b) = -b**2 - 1. Let f(t) = -12*c(t) + j(t). Factor f(g).\nAnswer: -2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 = -2*g, -2*y - 6 = -0*g - 2*g. Let d be (y\/(-8))\/((-13)\/(-130)). Let i(r) = -r**2 - r + 6. What is i(d)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51182782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2. Let q(c) = 101 + 62*c**2 - 106 - 228*c**2. Determine j(q(d)).\nAnswer: 55112*d**4 + 3320*d**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 323, 2, -2, 5, 1\/1635, -4\/5 in descending order.\nAnswer: 323, 5, 2, 1\/1635, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207910, -207909, -207908?\nAnswer: -207907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 1\/20*i**5 - i**4 + 0 - 5*i + 1\/6*i**3 - 3\/2*i**2. Does 6 divide r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*g - 7495 = -13841 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/1025 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603450879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12204932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/15)*s*s*s\/(s\/(s**11\/s))*s*s*(s\/(s**6*s))\/s**(-2\/27))**(-29))**(-2\/57) assuming s is positive.\nAnswer: s**(64264\/7695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001110010011000110 (base 2) to base 3.\nAnswer: 121021221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - a + 30 = 0, 3*y - 58 = -5*a - 18. Suppose 3*g = 11 - y. Suppose -9 = -l - g. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 + (-8 - (9 - (0 - (-1 + -11)))) - -2?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**5 - t**2 + t. Let x(q) = -q**5 + q**2 - 5*q. Let k(j) = -x(j) - 5*z(j). What is the third derivative of k(c) wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -4*q + 10, 5*q - 1 - 11 = y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 13*w**2 + 28*w + 12. Does 8 divide s(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4 - (-71)\/52. Let g = c - 110\/221. Factor 6\/17*u**2 - g*u**4 + 4\/17*u + 0*u**3 + 0.\nAnswer: -2*u*(u - 2)*(u + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8) - 91\/(-52). Let g be m\/(-9) + 2255\/45. Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -110?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v - 617 = -27*v + 853 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 2:05 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, -614.3, 2\/3, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/2 + 106161*s\/2 + 371637.\nAnswer: -3*(s - 35394)*(s + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 262 - 53?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 23*v = 30. Let f(u) = 3*u**3 - u - 2. Calculate the lowest common multiple of v and f(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-1))\/(2\/838). Suppose -4*h + 1767 = -2*f - t, -2161 = -4*h - 3*f. What are the prime factors of (h\/(-24))\/(2\/(-6))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 129.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x)**(33\/2)\/((x**(-9)*x)\/((x\/(x**(-23)*x))\/x*x)) assuming x is positive.\nAnswer: x**(263\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**3\/5 - 249*z**2\/5 + 3678*z\/5 - 6336\/5 = 0.\nAnswer: -96, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 503\/102 (b) 0.01 (c) 0.3 (d) 1\/6 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 5*v**2 + 3*v**2)*(-454 - 377 + 1023)*(-2 + 0 + 3).\nAnswer: 576*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3270 - 3153. What is the highest common factor of s and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d + 12 = 0. Let s be 0*((-15)\/d - 3). Suppose s*u - 4*u + 20 = 0. Solve -u*z = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-200)\/(-6)*(-81036)\/108048?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6360 and 2703?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 40 + 52 = 0. Suppose -3*r = -4*r - 4. What is the smallest common multiple of r\/22 + g\/22 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2\/9 + 10*f\/3 + 100\/9 = 0?\nAnswer: -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*-2*-1*(5*(2*sqrt(209) - sqrt(209)))\/sqrt(11) + 0.\nAnswer: -360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-294)\/77 + 6\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, -5, -6?\n\"Answer: -p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/1 + (-865)\/173?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16107326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3) + (-73)\/(-3). Let z be (25\/(-3))\/(4\/d). Let u be -8*(z\/8 + 2). Calculate the highest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004647 to seven decimal places.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 18*k + 23. Let o be b(17). Let w(t) be the third derivative of t**6\/120 - t**5\/10 + t**4\/24 - 5*t**3\/6 - 2*t**2 - 29. Give w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i + 80 = 0. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28564635?\nAnswer: 3, 5, 11, 233, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3583735 millilitres?\nAnswer: 0.0003583735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57.4 + -41. Let u = r + -16. Let d = u - 0.3999982. What is d rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 12) to base 14.\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7100812.\nAnswer: 5\/7100812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 11:02 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, -351, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/112158 and 21\/2356?\nAnswer: 4262004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(506\/33))\/((-2)\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530254979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*l + 4. Suppose n + 3*x = l*x + 25, -2*n = -4*x - 26. Calculate the remainder when 14 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/7)\/((-1)\/3). Suppose 2*m + 0*f = -3*f - 2, f = -5*m + 21. Let q = -38\/153 - -8\/17. What is the smallest value in m, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-8 + 19 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, t: 2, w: 3, n: 3}. Give prob of picking 2 t and 2 w.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4602, 4601, 4598, 4593?\n\"Answer: -f**2 + 2*f + 4601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -31, 0.4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 751*l**2*z**3 + 5*l**2*z - 34*l**2 + 3*z wrt z?\nAnswer: 4506*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 138, 568, 1312, 2394, 3838, 5668?\n\"Answer: 4*g**3 + 133*g**2 + 3*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d + 6. Determine b(-36).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 9. Suppose 5*a - g = 52. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27857, 27852, 27843, 27824, 27789, 27732, 27647?\nAnswer: 27528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 213000090 = -3*s + 2*y, -4*y = -20. Suppose -4*v = -3*j + s, 4*v - 56799992 = -4*j + 2*v. What is j rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.01 - -1. Suppose -8 = -c + 2*p - 3, 0 = -2*c - 3*p - 18. What is the second smallest value in f, 2\/9, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 18. Suppose -2*i + 4*p + 196 = i, i - c*p - 62 = 0. Calculate the highest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1302.8 - 1456. Let v = t - -136. Let i = 17.20000083 + v. What is i rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 26*i + 53. Let m be s(-24). Suppose m*z + 87 = -218. Sort z, 3, -4 in decreasing order.\nAnswer: 3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*y + 221*y + 99 = 0. Let m(b) = 3*b + 2. Let s(i) = i**2 + 7*i + 5. What is y*s(a) + 7*m(a)?\nAnswer: -3*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19424 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -3, 0.4, -3\/7, 0.33, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 61*h**3\/3 + 19*h**2\/2 + 161*h + 38. Let r(q) = -20*q**2 - 7*q - 54. Let y(u) = 11*r(u) + 4*v(u). Differentiate y(o) wrt o.\nAnswer: 48*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 3*k**2 + 6. Is n(5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 220099893?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 5:59 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3634 or -2?\nAnswer: -0.3634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 455501 and 254497?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 5. Let n be u(-7). Differentiate 0*t**3 + 4 + 0*t**3 + 5*t**3 - n wrt t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4957 - 4987 = 0. Let d = 2 - -2. Let t = -9 + d. Put v, t, -3 in ascending order.\nAnswer: t, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6452 (base 12) to base 7\nAnswer: 44042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000581606557 to 6 dps.\nAnswer: 0.000582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 69, 85, 81, 51?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 892 - 39647*t**3 - 895 + 1785.\nAnswer: -39647*t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 42 = -f. Let z = 9 - f. Let s(p) = -p**2 + 2*p**2 + 0*p**z. Let b(x) = -2*x. Determine s(b(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2176, 4354, 6532, 8710, 10888, 13066?\nAnswer: 15244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -102211012101?\nAnswer: -102211012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -39. Suppose 5 = -d*g - 5*x + 3, 5*x = -4*g + 6. Suppose -g = -w - w. Solve w*v + 6 = 3*k - 0, 3*v + k = 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267342880.\nAnswer: 2, 5, 7, 29, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 474130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54586 + 78298. List the prime factors of i.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (-16 - -39) - 21.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 2*s - 1. Let t be o(2). Let g(y) = 3 + 4*y**2 - 1 + 1. Let u = 3 + -2. Let r(j) = -j**2 - 1. Give t*r(k) + u*g(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2)*18\/12. Suppose -4*q + v + 38 = q, 15 = o*q + 2*v. Suppose -q = -t + 1. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*j + 3 = 6, j = -5*w + 9. What is the third derivative of -204*o + 10*o**2 + 7*o**5 - 5*o**2 - 137*o**6 - 7*o**5 - 6*o**w wrt o?\nAnswer: -16440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -760132 divided by 1238.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2098 - -1.23. Round g to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -128 and 70?\nAnswer: -8960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214 + 3\/((-6)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5770 less than or equal to 5769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - y**2 - y - 2. Let v(x) = 6*x**3 + 8*x**2 - 2*x - 7. Determine 2*j(d) - v(d).\nAnswer: -4*d**3 - 10*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mmmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - 6 - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.9 - -4.14. Let m = -0.16 - b. What is the smallest value in m, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19381993*j**2 + 9995*j - 8801?\nAnswer: 38763986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.046700918 + -0.0467. What is u rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlvlllv. Give prob of sequence llll.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -52245 (base 10) in base 13?\nAnswer: -1aa1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94326 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -481.17 + -155.73. Let l = -637 - v. Put 2\/11, l, -1\/13 in increasing order.\nAnswer: l, -1\/13, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006979 to seven decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f - 5*f - 6*f + 2*f**2)*(6*f + 6 - 6) to the form m + d*f + c*f**2 + k*f**3 and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t + 3. Suppose -l = 3*c - 7, -c - 10*l + 6*l = 5. What is o(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 8:07 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 68. Let k = -29 - m. Suppose 0 = -k*x + 7*x - 48. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41396723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, o: 4, a: 2, y: 1, t: 4}. What is prob of picking 1 y and 1 u?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18\/(252\/35)*(1 + 15752 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -666 - 1052*d**2 + 666 + 118*d**2.\nAnswer: -934*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 670 = -3*v - 648, -3*v = -5*w + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*v - 5*h - 17, -4*h - 24 = 4*v. Let u be 4 + -4 - (v - 1). Let s(w) = -4*w - u + 0*w + 3. Calculate s(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/((-4)\/((-5280)\/99)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 2*b + 3552. Is b\/(-24)*3\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 - (254 + -236)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 6*f**2 + 49*f - 45. What is the remainder when 3012 is divided by n(10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 426*m**3 - 2*m**2 + 2. Let p be k(1). Let b = -424 + p. Solve -7 = 9*i - b*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: aa2a (base 14) to base 15\nAnswer: 8ac8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-7))\/(p\/(p*p**(-7\/2))))**(-2\/161) assuming p is positive.\nAnswer: p**(-9\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -0.09. Let i = f - 0.1535. What is i rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 13596?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 2*q**2 + 1. Let y(d) = 76*d + 9. Let l(r) = 17*r + 2. Let p(f) = -9*l(f) + 2*y(f). Give b(p(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 5:31 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 5*t + 27164 = 0. Let f = 12593 - t. Suppose -4*h = -2*h - f. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -324*f**3 - 285116*f**2 - 55432880*f + 684400 = 0.\nAnswer: -590, -290, 1\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 184992213697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 12 (c) 43\/140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y + 7. Let p(d) = 2*d + 4. Let k(c) = -5*p(c) + 3*q(c). Let s = -143 - -146. Suppose 0 = 2*o + z + 1 - 3, -3*o - 3 = s*z. What is k(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = s, 0*s + 3*l + 5 = 4*s. Let p be -3*(0 + 3 + (-3 - 1)). What is the first derivative of 6*o**p - 102*o**s + 1 + 102*o**2 wrt o?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**3 - y**3 + y**3)*(-3*y + y + 0*y) - 60*y**2 + 0*y**3 + 61*y**2 + y**3 + 5 - 2*y**4 to d + f*y**2 + i*y**4 + c*y + z*y**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220212120 (base 3) in base 4?\nAnswer: 32002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 12) to base 14\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26634.4 and 2.\nAnswer: -26632.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 8) to base 11.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*l**3 - 2*l**2 + 3*l**4 + 6 - 6 in the form s*l**4 + o*l**3 + q*l**2 + d + v*l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 17)*((203*w - 44*w**2 - 203*w)*(w**2 + 4*w**2 - 2*w**2) - w**4 - 5*w**4 + 3*w**4).\nAnswer: 2025*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 482926, 1931109, 4344746, 7723837, 12068382?\n\"Answer: 482727*y**2 + 2*y + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1639*s + 5270 - 16743 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(-36)\/18.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2097\/4 - -517. Let j = -916 - -917. Are g and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-86)\/15 + 6)\/((-276)\/115). Which is the nearest to 11? (a) x (b) 26 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j - 10 + 11 - j. Let u(a) = a**2 - a. Suppose 0 = 2*i + 4, -2*l = 4*i + 8 + 2. Calculate l*n(r) - u(r).\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296510*v**3 - 8 + 112 + 296515*v**3 - 593027*v**3.\nAnswer: -2*v**3 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 1603709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.71 + 0.31. Let y = -26.2 + 26.4. What is the nearest to -1\/4 in -3\/4, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 7*y - 6. Calculate the common denominator of -105\/22 and (-3 - 45\/40) + y\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 4*q - 80. Give c(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-3)\/2))\/(5\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182336 and 3663296.\nAnswer: 40296256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -1 (c) 0.582\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a\/(a*a**17\/a)*a\/(a*a*a**(1\/15)\/a) assuming a is positive.\nAnswer: a**(-211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 673*q - 2473*q + 14 - 155*q - 19 + 7 in the form y*q + v and give y.\nAnswer: -1955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/10 - 4412*m**2\/5 + 185767*m\/10 + 19459 = 0. Calculate m.\nAnswer: -8845, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m - 43. Let l be j(-14). Which is bigger: 5\/24 or l?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 22*m - 49. Calculate j(19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 4*d**3 + 2694. Let j(p) = 212*p. Give y(j(z)).\nAnswer: 539328*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 n, and 1 f when four letters picked without replacement from uhnhnufuyffuffun.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -28, -2, 62, 182, 376, 662, 1058, 1582?\n\"Answer: 3*j**3 + j**2 + 2*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 2\/4743, 93, -3\/4 in descending order.\nAnswer: 93, 2\/4743, -0.05, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8041*i**2 + 595*i. Let q(x) = 335*x**2 + 25*x. Determine -119*q(r) + 5*s(r).\nAnswer: 340*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**5\/30 - 251847*s**2. Let q(m) = 2*m - 4*m - 2*m. Calculate i(q(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 - 1062*l**4 + 11391*l**3 - 24588*l**2 - 37044*l = 0. Calculate l.\nAnswer: -1, 0, 6, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 4*m - 4. Determine q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3)**(-8\/3))**(-1\/8) assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 28*w - 35. Let b be m(-29). Let q be b\/4*(-1 + 4 + -70357). Let h = -404531 + q. What is h rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10391\/6 - 1722. Calculate the common denominator of x and 105\/(-2)*(-7)\/42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005201552126 to six decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2. Let g(d) = 16*d + 149. Let a be g(-10). Let f(b) = -105*b. Let v(u) = -523*u. Let s(x) = a*f(x) + 2*v(x). Give s(i(t)).\nAnswer: 109*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41455 - 41451. Suppose 3*m = -l - 6, 4*l = 2*m - 5*m - 15. What is the closest to -7 in x, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -449 divided by -3177?\nAnswer: 449\/3177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 407779, 815573, 1223367?\nAnswer: 1631161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(10)\/sqrt(2)))\/(sqrt(4)*2*2).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3676\/927 + 324\/103. Factor -m + 0*j + 4\/3*j**2 - 2\/9*j**3.\nAnswer: -2*(j - 4)**2*(j + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1969 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48082, 192336, 432760, 769354, 1202118, 1731052?\nAnswer: 2356156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1119746 divided by 2.\nAnswer: 559873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*v - 177*v + 11 - 88 + 69 + 8.\nAnswer: -226*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 2 = 74. Solve -x = 2*d + 10, 8 = 4*d - b*x + x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 12) in base 16?\nAnswer: dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02888649 (b) -0.5 (c) -3 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 u when three letters picked without replacement from euwwfubww.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4167*m - 1321*m - 1360*m - 12*m**3 - 1402*m.\nAnswer: -12*m**3 + 84*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/30*(-5)\/(-2). Suppose 0 = h - 8 + r. What is the second derivative of -6*g - 7*g + 9*g**h - 4*g**4 + 8*g**4 wrt g?\nAnswer: 156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/249 in -0.29, -1.4, -5?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 278 and 4693891?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/56)\/(23\/(-161)))\/(39\/(-598))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -775966 not equal to -775962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w + 152. Let o be w\/(-64) + (-2)\/(-1). Suppose 0 = -3*f - 10 - 2. Which is the smallest value? (a) f (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:01 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 + -125.56. Let v = b - -4.7. Let a = -0.4 - -0.3. Is v > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16194224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 623*a**5\/5 + 865*a + 1017. Differentiate u(k) with respect to k.\nAnswer: 2492*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -10.5 (b) 3\/32 (c) 328 (d) 0.5 (e) -3 (f) -5\/2 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4)*(-5*o**3 - 4*o**2 + 4*o**2)*(-11*o + 18*o + 12*o) + (-7*o**3 - 7*o**3 + 8*o**3)*(-o + o - 2*o).\nAnswer: -273*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 89 - 123 - -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/3, 76, -2\/7, -1014, 1.\nAnswer: -1014, -17\/3, -2\/7, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115254134 - -45?\nAnswer: 115254223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*s - z, 2*s - z - 2 = 4. Let h = -38 + 53. Suppose k - h + 13 = 0. Solve -3*d - k = -s*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214274 * 0.4\nAnswer: 85709.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125870014?\nAnswer: 2, 62935007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -743 and -8186\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.008 in 0.28, 0.039, -7\/2?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.5124425 - 0.2007485. Let h = 5.286599 - g. Let i = 26 - h. Round i to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 146*l**2 + 156*l**2 + 115*l**2 + (-4 + 2*l + 4)*(5 - 5 + 3)*(2 - 2 + l).\nAnswer: 423*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 5*l - 5. Let y be x(-6). Let t = 15 + y. Let j(f) be the first derivative of -f**4\/4 + f**3 + 3*f**2 - 5*f - 2. Determine j(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l = 37 - 23 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -38. Suppose -2*k + 6 = 4. Are w and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 (base 5) in base 4?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 43 - 14681*m + 19 + 6 in the form f + x*m and give x.\nAnswer: -14681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7968341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 310509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 2482.8?\nAnswer: 2482.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r + 0)*(4*r**3 + 4*r**4 + r**2 - 2*r**3 - 5*r**4).\nAnswer: -2*r**5 + 4*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.14 - -0.13999976. Round w to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3580511 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 140\/126*2\/10. Let g be 10\/4 + (-2 - 0). Let m be 2\/(2*-1 - 0). Which is the nearest to g? (a) j (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:49 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5203, -5212, -5211, -5194, -5155, -5088, -4987?\n\"Answer: b**3 - b**2 - 13*b - 5190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.9. Let x = 0.5 + t. What is the closest to -2\/5 in -3, x, -1\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**3\/6 - 5*t**2\/2 + 4*t. Let p be b(-7). Solve 5*y - p + 7 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, 2\/3, -1, 0.09101?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -48, -1, 2 in increasing order.\nAnswer: -48, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 16, t: 4}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**3 - 11*u - 19. Let r(x) = -2*x**3 - 6*x**2 + x - 3. Let k be r(-3). What is the hundreds digit of h(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - p - 4*p + (4*p + 0*p - 3*p)*(1 + 0 + 5).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 3, h: 1, y: 6, o: 1}. Give prob of sequence gh.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1084761 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (16\/40)\/(4\/(-20))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-3) + 12\/(-18). Let s be (-8)\/(-4)*(-20)\/c. Suppose -149*u + 153 = -64 - 81. Solve u*l - 2*t + 1 = -7, s*l - t + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159\/4 + -39. Let t = 3\/4 + p. Which is the third smallest value? (a) 1\/94 (b) -1\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 15*g**2 - 12*g - 57. Calculate m(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635783 (base 11) in base 12?\nAnswer: b26287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2072*n**2 + 3*n - 51007 wrt n?\nAnswer: -4144*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1327*s**4 - 105*s**3 + s**2 + 1550*s + 138 wrt s?\nAnswer: -15924*s**2 - 630*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -46, -114, -220, -370, -570, -826?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-33)*22\/(-12). Sort -1\/4, 2, -6, f in increasing order.\nAnswer: -6, -1\/4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23576\/9 in -1, -14, -1.1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, p: 2}. What is prob of sequence ddpd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27885 + -27880. What is the second smallest value in 1, 4, p, -15, 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/4269356 and -199\/5460.\nAnswer: 64040340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 8398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 + 2002002?\nAnswer: 2001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (0 - 538\/(-5)) + 22\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 651\/5794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 6*u + 3. Let s be i(-6). Let f be s\/15 + 44\/80. Factor 0*d**2 - f*d + 1\/2 + 1\/4*d**3.\nAnswer: (d - 1)**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -38?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtrt when four letters picked without replacement from rhtrrhtjtrhhhtrjhh.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1574860 and 27244?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 14. Let k be (3\/j)\/3*-3. Let a(q) = -71*q - 2. Is a(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 26. Let q be (4\/(-5))\/(o\/125). Let l be q\/30*(-12)\/22. Which is the third smallest value? (a) -2\/19 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 23 = 2*o, -2*o + 10 = -3*q + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -161 + 5*x**3 + 3\/4*x**4 + 12*x**2 + 12*x. Find n, given that i(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.0875 + -215.8295. Let u = -216 - v. Round u to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10759 and 1484?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1166164156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -328\/13 - 111\/26. Suppose -9*l + 38 = -70. What is the common denominator of (-153)\/66*l\/9 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53720668 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((0 + sqrt(448))*-1 - sqrt(448) - (sqrt(448) + 2 + sqrt(448) + 1)) + -4 + (sqrt(448) - (sqrt(448) + -2))*1)**2.\nAnswer: -21579 - 960*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 8*w**2 - 8*w**3 - 3*w**2 + 15*w**3. Let y(o) be the first derivative of 11*o**4\/4 + 8*o**3\/3 + 12. What is -8*a(s) + 5*y(s)?\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1)*(5 + -2). What is the first derivative of j**3 - 2*j**f - 2 + 1 + 3 wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -4.562636?\nAnswer: 4.262636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -0*r + 4*r + 5*l, -4 = -l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3234 and 22.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttyp. What is prob of sequence ty?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*f**3)*(0*f - 3*f + f) + 0 + f**4 + 0 + 3*f**2 - 3*f**2 + f**4 + 7*f**4 - f**4 - 4*f**4 + 0*f**4 - 2*f**3 + 4*f**3 - 3*f**4.\nAnswer: 5*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(3) + sqrt(12) + sqrt(243) + -1))**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135.989 + -0.011. Let i = 196 + v. Let a = -59.9999838 + i. What is a rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-180 - 1045 + 457 + 157)*(-u + u - 7*u) in the form x*u + y and give x.\nAnswer: 4277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3442 = -2*o + 105*o + 2515 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1146 is divided by 1012.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)\/(g*g**0)*(g*g\/(g**(1\/8)\/g))\/g**(-4))\/((g\/g**(-1))**(-43\/2))**(-2\/3) assuming g is positive.\nAnswer: g**(-185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2*j)\/j**(1\/2))\/(j\/(j*j**2)*j\/((((j*j**0)\/j)\/j)\/j))*((j**(2\/7)\/j)\/(j\/j**(-1\/2)))**24 assuming j is positive.\nAnswer: j**(-723\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/45 and 52\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 115810 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 18010*y + 324161. Determine m(-18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -5*c + 85, -2*x = -0*x - 5*c - 62. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6556*t - 38 = -6554*t + 16*i, 2*i + 106 = -4*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*v**2 + 212*v**2 - 70*v**2 - 2*v**3 - 80*v - 2*v**4 + 4*v**3 - 66*v**2 to r*v**4 + w + s*v**2 + h*v**3 + i*v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.53906mm in kilometers?\nAnswer: 0.00001753906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 496 and 248.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -19. Sort 3\/7, 3\/5, h.\nAnswer: h, 3\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 13. Let m be h(9). Let s = 1 + m. Let t(a) = 4*a + 0*a - s*a. Let u(x) = -x. What is u(t(p))?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 321509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = a + 3217, -23*g = -18*g - a - 8035. Calculate the smallest common multiple of 10 and g.\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 732, 1140, 1548, 1956?\n\"Answer: 408*t + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1986 - 1991. Let w = 0.6 + -0.1. Sort w, 5, b in increasing order.\nAnswer: b, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) + 10\/(-4). Let w(f) = -f**3 + 41*f**2 + 39*f + 118. Let a be w(42). Which is bigger: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 28390603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 16, f: 2}. What is prob of sequence fpfp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71612, 90554, 109496, 128438, 147380, 166322?\n\"Answer: 18942*z + 52670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 5, 10, 3\/2, 5\/4 in descending order.\nAnswer: 10, 5, 3\/2, 5\/4, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b**3 - 959*b**2 + 1900*b + 41. Calculate s(2).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 406191 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86667774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4904\/(-540666)*(-9)\/8\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 + 3*v**2 - 9*v**2 + 2*v**3 - 3 + 0*v**3. Let h(a) = -a**3 + a**2 + 1. Give 3*h(q) + z(q).\nAnswer: -q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 2*m**3 + (-m**3 + 0*m**3 - m**3)*(3 - 5 + 0) + 267*m + 1085*m**3 - 267*m in the form v*m + c*m**3 + a*m**2 + s and give c.\nAnswer: 1087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 7*j**2 - 5*j - 5. Let k be c(5). Suppose 0*o - 2*o = -172. Suppose -3*n = -o + k. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1820 + 5459 - 1819 + 9387*x - 1820 in the form y + f*x and give f.\nAnswer: 9387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 810, -3, 3, 917?\nAnswer: 810","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 68310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 114610, 114612, 114614?\n\"Answer: 2*d + 114608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -302 = z + 5*l - 216, 10*z = -2*l - 44 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(1\/2)*q)))**(1\/5)*q**(-4)*q*(q*q**(-2\/11))\/q*q*q assuming q is positive.\nAnswer: q**(-97\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 13*x + 2. Let a be c(13). Suppose 0 = a*p - 3*p - 9. Is -2\/3 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-50) - (-22)\/5. Solve 2*q + 18 = -h*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.79.\nAnswer: -0.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8070152*u**3 + 2*u**2 + 90131985.\nAnswer: -24210456*u**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 1:06 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18800 = 1058*u + 2930 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 1 + (4 - 5 - 1)*(1 + 4 - 4))*(2*f**2 - 1 + 1).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -20*k + 3*k**2 - 5 - 17 - k**2. Let t be r(11). Suppose -6 = 3*w - 3. Which is bigger: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-14) - (-276)\/(-14). Let m be ((-32)\/12)\/((-2)\/12). Let u be (m\/64)\/(1\/(-82)). Is d >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3775*z + 2180*z + 1 - 1 - 2461*z to x*z + q and give x.\nAnswer: -4056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 4725 + 4743 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**3 - 3*m**2 - 3*m - 4. Is b(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-212)\/(-3339))\/((-6)\/21)*(-9)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 13, 3 in increasing order.\nAnswer: 3, 13, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*t + 176*t - 13164*t**4 + 2 - 2*t**2 + 13165*t**4 as y*t**2 + r + g*t**3 + q*t**4 + v*t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -584*51098\nAnswer: -29841232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.252 - 0.3. Round z to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6888 and 861?\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(18) + (sqrt(126)\/(1*sqrt(7)) - sqrt(18)))\/((2*sqrt(42))\/sqrt(7)*6).\nAnswer: -5*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, 1\/5, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1887*h = 838*h - 440*h - 126565 for h.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 175*o**3 - 1760*o**2 - 3840*o.\nAnswer: -5*o*(o + 3)*(o + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -94529 and 4576?\nAnswer: 99105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (3 + sqrt(112)*-5))**2 + -4 + sqrt(7)*-3 + -2.\nAnswer: -147*sqrt(7) + 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20450, -40973, -61488, -81995, -102494, -122985, -143468?\n\"Answer: 4*f**2 - 20535*f + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 26*i**2 + 287*i - 189. What is the remainder when n(-35) is divided by 52?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**2*z**3 + 2*b**2*z - 2*b*r*z**3 - b*r + 5*r*z**2 wrt z.\nAnswer: 12*b**2 - 12*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26611774 = 26611835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 + -7.49. Let k = 0.07 + 3.93. Let o = k + z. What is o rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*z)*(-5 + 2 + 4)*(-646082 + 2062*z + 646082)*(4 - 1 + 0)*(-5 + 2 + 0) to q*z + d*z**2 + t and give d.\nAnswer: -37116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 461932085.0000109 - 461932046. Let m = 315 - 276. Let d = k - m. What is d rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1441*u + 404*u + 1040*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 187302934 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 4287152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 8. Let s(x) be the second derivative of x**4\/12 + x**3\/6 - x**2 - 12*x. Calculate s(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 1, u: 7, b: 2}. What is prob of picking 2 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-209875)\/(-219))\/(-1 - 94\/(-96)). Round d to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33008 + 33672. What is the lowest common multiple of n and 4?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -881*i**2 - 30*i + 30*i + ((0 + 1 - 2)*(3 - 2*i - 3) + 5*i - 2*i + 0*i)*(-2*i + 3*i + 0*i).\nAnswer: -876*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32004 (base 5) in base 14?\nAnswer: ac1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 89510255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1360.3 - -1791.3. What is the third biggest value in m, 4, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -399 + 565. Let s = -166.000019 + c. Round s to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 22 + -165 + 140.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r**2 + 4*r - 4. Let h be (-26)\/4 - 205\/(-82). Let f(z) = z**2 - z + 1. What is h*f(b) - c(b)?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2082 and 12318153?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {x: 1, q: 2, n: 6, k: 1, m: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = -243. Let u be (n\/(-4))\/(8\/(-32)). Let z = -55 - u. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181135 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + 36*h**2 + 62*h - 27. Give r(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*q + c**3*z**2 - 31*c**3 - 5952*c**2*q*z - 12*c**2 with respect to z.\nAnswer: 2*c**3*z - 5952*c**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6117 = -7332. What is the remainder when m is divided by 79?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3065 divided by -613\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3326?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66501311, -66501310, -66501309, -66501308?\nAnswer: -66501307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -21 - (-36 + -2 + -19 + 23 - -4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4*f + 17, 2*y - 3*f = 6*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9.76 times 10.7\nAnswer: -104.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 2 (c) 38731\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 304.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -9*y + 2. Let a be (-16)\/36*3*y\/8. Is a less than -190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2500 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12589509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70618.22 litres in millilitres?\nAnswer: 70618220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1752 divide 551431488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 501625927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6) - (35\/21 + -3). Factor -66*y**u - 15*y**4 - 21*y**3 - 69*y**2 + 129*y**2.\nAnswer: -3*y**2*(y + 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 7b?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2585988 and -77\/783.\nAnswer: 7757964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (4 - (8 + 1) - -13) + -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/281520 and 143\/1020.\nAnswer: 281520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4133.\nAnswer: 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*h**2*s - 61*b*h - 2*b*i*s + 2*b*s + 3*h**2*s - 2*h**2 + 49*h*s + i*s - 2 with respect to b.\nAnswer: -2*h**2*s - 61*h - 2*i*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a milligram in micrograms?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5212 + 0?\nAnswer: -5212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*o + 5914 + 2006 = 0. Suppose -v + 20 = v + 4*j, 10 = v + 3*j. Calculate the remainder when o is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.51, 194, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011876576 rounded to four dps?\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10377, 10373, 10367, 10359, 10349, 10337?\n\"Answer: -f**2 - f + 10379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235928376 a multiple of 5048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5789 = -3*l, 1780 - 7555 = -2*i + l. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14676 is divided by 69?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -3154.\nAnswer: -7\/3154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150898377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(3*r - r**2 - 3*r) - r**2 - 2*r**2 + 2*r**2 + 2 - 2*r**2 - 2 - 4*r**2 - 32*r + 20*r + 3*r**2.\nAnswer: -2*r**2 - 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44412403 (base 5) in base 16?\nAnswer: 5ed7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4455) + 2*sqrt(4455)*-1 - sqrt(4455) - sqrt(4455))\/(2*(1*sqrt(88))\/sqrt(8)) + 2)*2.\nAnswer: -27*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3582343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r = -4447 - 8575. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 3*j - 2. Let c be a(-4). Let k(o) = -7*o**2 + 6*o**c + 3 - 7*o - 8. Suppose -t + 0 = 5. Determine k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k - 5*p = -20, -p - 6 = -4*k. Calculate the remainder when (-1)\/2*(-35 + 1) is divided by 7\/2 - (-1)\/k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39082125 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: Simplify -5 + ((sqrt(3) + 1)*1 - sqrt(3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.8 + 4. Let m = -0.4 + v. Let f = -3.9 - 0.1. What is the nearest to 1 in 2\/5, m, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 1 - 133*s**2 + 12*s - 3 - 4*s + 546*s**2 in the form v*s + j + m*s**2 and give m.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + -55)*(-6)\/6 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1788233665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25202, 100901, 227102, 403805, 631010, 908717, 1236926?\nAnswer: 1615637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5386 - 4443. What is the highest common factor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 464.\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Suppose -4*b = 99 + 65. Let d = b - -68. What is the greatest common factor of d and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92831676.0000068 - 92831692. Let q = r + 16. What is q rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1933082*c**6 + 240504*c**2 + 3 wrt c.\nAnswer: -231969840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**2 - 27*d - 70. Determine f(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53254296 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 2:31 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 7 = 3*j, 50*q = 4*j + 49*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1195\nAnswer: -3585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*n + 100 = 0, -h = 2*n - 6 - 44. Let k = h - 43. What is the second derivative of -175*m**2 + 38*m + k*m + 215*m**2 wrt m?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -937, -7546, -25485, -60418, -118009, -203922, -323821?\n\"Answer: -944*a**3 - a**2 + 2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*z - 1856 = -384*z - 313*z for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 3. Let r be l(-6). Suppose r*n = -1 + 7. Find the common denominator of -97\/12 and (-4)\/(64\/(-83)) - n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 3*a. Suppose a*v = 4*v - 2*r + 43994, 0 = -3*v - 5*r - 66015. Round v to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 242 + -249 + (1 + -3 - (2 - 0)) - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7596 is divided by 2526.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1364 - 1364. Solve -227*u + 230*u + 12 = a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016546 to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 83\/16 (b) 12.5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, g: 1, h: 8, l: 1}. What is prob of sequence hl?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3936*q - 89*q**2 + 96*q**2 - 3936*q. Let v(x) = -120*x**2. Calculate b(v(u)).\nAnswer: 100800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000894808 to seven decimal places.\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*m - 2\/5*m**3 - 1\/5*m**2 + 0 + 1\/5*m**4.\nAnswer: m*(m - 2)*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*t - 4, -4 = 4*a - 3*t - 27. Let f be 0 - -1*(-4)\/(a\/(-434)). Suppose -303 - f = -8*o. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/6? (a) -0.4 (b) 4 (c) 9091 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**3 - 3*h**2 + 9*h - 60. What is the hundreds digit of l(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118908 = -35*f + 32*f - 51*f. What is the smallest common multiple of f and 66?\nAnswer: 24222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 2*m**3\/3 - m**2\/2 + 7*m. Determine n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/5)\/(2\/15). Which is the nearest to 1\/3? (a) 2\/37 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -27*s + 5. Let p = -83 + 80. List the prime factors of v(p).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383873779, 767747557, 1151621335, 1535495113, 1919368891, 2303242669?\nAnswer: 2687116447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(1\/1*-5). Let t(s) be the first derivative of 0*s**2 + 0*s**4 + 0*s**5 - p - 1\/6*s**6 + 0*s + s**3. What is the third derivative of t(q) wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.82 - -3.92. Let l = -1.32 - -4.32. Which is the second biggest value? (a) j (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -270.9 + 283. Let p = m + -12.09855. What is p rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2*c + 4*c)*(-107 + 67 - 52 + (1 - 3 + 4)*(0 + 0 - 1)).\nAnswer: 94*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.2 (c) 1 (d) -0.4 (e) 0.9 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.096063 micrograms?\nAnswer: 0.008096063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from {e: 2, z: 2, j: 1, h: 8, l: 1, t: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 91 = -81 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5\/7 - 4*z**4\/7 + 18*z**3\/7 + 4*z**2\/7 - 16*z\/7 = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64777?\nAnswer: 211, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-736)\/1008 + (-4)\/(-3 - -5)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37958010 divided by -5.\nAnswer: -7591602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 943 + 151573*n - 151573*n - 277 - n**2 to m*n + i*n**2 + k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 9. Let t be u(7). Let x(n) be the first derivative of -1\/4*n**4 - t - 1\/6*n**2 + 1\/3*n**3 + 0*n + 1\/15*n**5. Factor x(k).\nAnswer: k*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12460.45 - 0.2?\nAnswer: -12460.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*i + 3)*(-4 + 4 + 2)*(3*i**4 - 4*i**4 + 53*i**2 - 56*i**2).\nAnswer: -4*i**5 - 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -r, -r + 2*o + 4 = -0*r. Let u(s) = -20*s**2 + 841*s + 61. What is the remainder when u(42) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2776 (base 10) in base 2?\nAnswer: -101011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4660 is divided by 58?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 562829532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 791602 (base 11) to base 14\nAnswer: 24b889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -647820373.4 to the nearest 1000000.\nAnswer: -648000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*h = -5*r + 24, -3*r = -2*h - 11. Let v = r + -1. Is 67 - (v - 4\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m + 3 = 269*m + 3. Determine q so that 2*q**2 - q + 1\/4*q**4 + m - 5\/4*q**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**8\/10080 + t**5\/12 + 15*t**2. Let p(r) be the third derivative of z(r). Let f(u) = -3*u**2. What is f(p(y))?\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 8*w - 15. Give l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Suppose -c*g - 3*g = 0. Let d = g + 25. Calculate the greatest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.099 + -0.099. Which is the closest to 1? (a) u (b) -1\/2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32477.52 nanograms in kilograms?\nAnswer: 0.00000003247752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 8*g + 7. Let z be b(7). Solve z = 2*q + 1 + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3*i + 3. Let j be c(-3). Suppose 10 = j*h - h. What is the least common multiple of h and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(76) - 1*sqrt(76))*-1 - sqrt(76)) + sqrt(76) + sqrt(76) - -4*(2*sqrt(76) - sqrt(76)))\/(-2*(-1*sqrt(4)*-3 - sqrt(4))*2))**2.\nAnswer: -2375\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-6) - (-6)\/9. Suppose -n + s = -1, -l*n + s = -3*s - 8. Solve -9*h**2 + 9*h**2 + 2*h**n - 4*h**3 + 4*h - 2 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5 - 1 = 0, -o - 6 = 5*a. Suppose 5*u - 40 = -4*p, -4*p = -0*p - o*u - 40. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - b + 6*b)*(0 + 3 - 2) + 10*b - 17*b - 16*b to the form s + d*b and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(176)*2*-5)\/(sqrt(400) + 5*-4*sqrt(400)).\nAnswer: 6*sqrt(11)\/19 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 126113522.53 to the nearest 1000000.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119 - 95) + (-17 - -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 49835?\nAnswer: 49835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 + 33*i**2 + 5*i - 14*i**2 to l + z*i**2 + p*i and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -723 - -253. Let t = 784 + j. What are the prime factors of t?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 275063 = -27*i. List the prime factors of i.\nAnswer: 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112010 - -21100?\nAnswer: -30310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 20, -75*f + 70*f = -3*i - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5*r + 3*r)*(7 + 4 + 7).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in -1\/2, 2, -2\/6391, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.77 - -6.8. Round m to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 4*a. Suppose 4*z - 1 = -s, s + 3*s - 5*z = -17. Let v(w) = 2*w**2 - 3*w. Let h(g) = s*o(g) - 4*v(g). Let y(d) = -16*d**2. Give y(h(k)).\nAnswer: -64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 27266, 27252, 27240, 27230?\n\"Answer: b**2 - 17*b + 27282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0726286604824794 - -0.1.\nAnswer: 0.1726286604824794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b**3 - 67*b**3 + 22*b**3 + 23*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -68947.287 less than 53?\nAnswer: 69000.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1591290 rounded to the nearest ten thousand?\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -31031013201?\nAnswer: -31031013223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(108) + 4) - (sqrt(243) + 1)**2.\nAnswer: -220 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/2, -2\/79, 5, -3.9?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245773.\nAnswer: 11, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-2)*(-1)\/((-20)\/2). Let s = 0.72 - 17.72. Let x = -13 - s. Which is the nearest to x? (a) 0.3 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k - 62 + 222. Let g = k - 17. Suppose -j = -n - 35, g*n = -j + 2*j - 45. Is j a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29483880*c**3*h + 2*c**2*h + 28*c**2 + 9*c - 46*h - 24 wrt c?\nAnswer: -176903280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -1\/12*t**4 + 0 - 21*t**2 - 1\/3*t**3 + 1\/420*t**7 + 1\/60*t**6 + 1\/40*t**5 + 2*t. Find r such that v(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131097193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 6*s + 12. Suppose z - 14 = -z. Let l be y(z). Suppose -5*t + 865 = l*g, 5*t - 262 = -3*g + 593. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1463 and 65\/11781.\nAnswer: 223839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010000000 (base 2) to base 5.\nAnswer: -14102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -5.2. Sort 0.3, w, -0.2.\nAnswer: w, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1540 - 110 = -275*j. Solve -5*c + 3 = 3*t, -5*t + j + 30 = -2*c for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 204623.370093455.\nAnswer: 204626.370093455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/12)\/(182\/(-462)). Let w = b + -1\/13. What is the common denominator of w and -87\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**10\/1680 + r**6\/360 + r**3\/2 - 3*r**2. Let z(s) be the first derivative of i(s). Find the third derivative of z(w) wrt w.\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2\/j)\/j)\/j*j\/j**(6\/5)*j*j**(-5\/3)*j*j*j**(4\/5)*(j**(-6)\/(((((j*j**(-1))\/j)\/j)\/j)\/j))**(-3\/13) assuming j is positive.\nAnswer: j**(467\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = d - 2072, -2*v - 3*d - 2*d + 1403 = 0. Let z = v + -2105\/3. Calculate the common denominator of 41\/3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0.2. Let w = 8 - 7.5. Let b = w - o. Sort 2\/5, b, 3\/5 in descending order.\nAnswer: 3\/5, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -73670331495\nAnswer: -73670331494.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 5*b**2 + b - 16. Let c be g(4). Let a be ((-9)\/3)\/((-6)\/c). Let 14\/9*n**3 + 2\/9*n**4 + a*n + 0 + 10\/3*n**2 = 0. Calculate n.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -16.40749.\nAnswer: -16.30749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 54*o. Let g(d) = 23*d**2 + 4*d + 2. Let z(n) = 20*n**2 + 6*n + 3. Let f(b) = 3*g(b) - 2*z(b). What is f(l(h))?\nAnswer: 84564*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6a (base 13) to base 14\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from 633.\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14470973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8*q**3 + 25*q**2 + 24*q + 48. Let s be y(-8). What is the highest common divisor of s and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 7:29 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1220.59 * -5.\nAnswer: 6102.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o + 5*b = -26*o, 3*b - 2 = 4*o. Let r(n) = 12*n**2 - 6*n - 11. Let g be r(o). Calculate the highest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10961*p**2 + 331*p - 1 wrt p?\nAnswer: -21922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6524 divided by 7?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14559282 and 135886632.\nAnswer: 407659896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zztzzkzzzzz. Give prob of sequence zzk.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 4*h)*(-297 + 42 + 34)*(4*h - 6*h + h) to r*h**2 + g + n*h and give r.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - m + (3*m - 2*m + m)*(2 + 1 - 1) + 5 + 6*m - 5)*(-51*m + 204 - 101 - 103) to the form p*m + z*m**2 + n and give z.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from ccubtcccbbtch.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = 0, -2*y + 5*z = z + 6. Suppose -5*p + 6 = -14. Factor -6*h**2 + p*h - y*h + 2*h**3 + 7*h - 2.\nAnswer: 2*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -416 divided by 23\nAnswer: -416\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x = 9*x - 16*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - 490. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**2 + 6*f - 2. Determine m(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 914600 (base 12) in base 3?\nAnswer: 11021020010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(98\/30)*(-1)\/(-7).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 11\/((-22)\/(-52)). Solve -11*m - a = -6*m + 3*j, 0 = 5*j - 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8754 less than 50?\nAnswer: -8704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.631*-31.9.\nAnswer: 52.0289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(30\/(-8))*580\/(-696)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592807 is divided by 296307.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -75, -87, -99, -111?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 0*s + 0*s + (4*s + 0*s - 2*s)*(0*s - s - s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 593, 1186, 1779, 2372, 2965, 3558?\n\"Answer: 593*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 2:36 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 20. Suppose -n*f - 131 = -563. Suppose 77*b = f*b + 182000000. What is b rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3366?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-36)\/(-24)*(-4)\/6. Solve q = i - 1 + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from pwwhwwhhwwwp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825*n = 830*n - 15. Let t = 11 - 7. What is the remainder when t is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/34 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39082 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52457486.\nAnswer: 2, 26228743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13139.6 * 982.\nAnswer: -12903087.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f + 20 + 20 + 27 + 2*f**4 - 5*f + 9*f**3 - 66 to the form t*f + m + u*f**4 + q*f**2 + k*f**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**4\/4 + 7*h**3\/6 - 5*h**2. Is o(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 45870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1982243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b + 120. Let n be -1 + 1 + -3 + -4. Calculate the remainder when l(n) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c1d (base 14) to base 2\nAnswer: -1010000000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -18e4?\nAnswer: 18e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 420 + -502. Let u be 9*p\/123*(-1)\/2. Let i(q) = -2*q + 1. Calculate i(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 1179082*y**5 + 4*y**4 - 14148984*y**3 - 18865360*y**2 - 64*y = 0.\nAnswer: -2, -2\/589541, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30098891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = -5*k + 99, -4*k = -3*d - 70. Suppose -k*l + 21*l - 24 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - 22*j + 32*j + 321 - 9*j as a*j + z and give z.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -6423 (b) 0.5 (c) -3\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2766, 5533, 8300, 11067, 13834?\n\"Answer: 2767*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-1 - (-5 - 4 - -11). Let g be ((-402)\/99 - p)*-51 + -3. Find j such that -1\/11*j**2 + 1\/11*j**3 - 1\/11*j + g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0280645 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 791 and 23125789.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(42*3\/2016).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*p + 0 - 15 = 0, 2*z + 3 = -p. Solve 4*c - 6*c - 4 = z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -2637, -12, 7 in descending order.\nAnswer: 7, 4, 1, -12, -2637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 43. Put -4, k, -3 in decreasing order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/171120 and 65\/368.\nAnswer: 171120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.145 and -0.5?\nAnswer: 0.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/5 in 2\/7, -2679, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) + 1\/(-3). Let g be b*142*(-2 + 100002). Round g to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124066864*f**3*q**3 + 4*f**3*q + 176*f*q**3 - 2*f*q + 114*f - 7*q**3 + 2*q + 2 wrt f?\nAnswer: -744401184*f*q**3 + 24*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16346 and 694133?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o + 98. Let l be m(19). Factor 8*b**4 - 5*b**2 - 3*b**l - 12*b**4 + 7*b**4 - b**2.\nAnswer: 3*b**2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 900.7867 tonnes?\nAnswer: 900786700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*t + t**2 + 44*t + t**2 - 3*t**5 + (t**5 - t**4 + t**4)*(-1 - 1 + 4) + t**2 + 6*t**5 - t**2.\nAnswer: 5*t**5 + 2*t**2 + 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**3 + 6*w**2 + 6*w - 1. Let v(r) be the second derivative of -9*r**5\/20 - 17*r**4\/12 - 17*r**3\/6 + 3*r**2\/2 + 10*r. Determine -17*q(n) - 6*v(n).\nAnswer: 3*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -256349.6.\nAnswer: -256349.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/14 - (-1 - (-10)\/(-7)). Let y be 8 + (-1 - 1\/(-1)). Suppose n - d = y, n + 4*d = 5 - l. Calculate the remainder when 27 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2731.944 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 222222 (base 4) in base 2?\nAnswer: 101010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(51)\/sqrt(3) - sqrt(17)) - sqrt(68)\/(sqrt(8)\/sqrt(2)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3*l**3 - 3)*(13*l + 199 - 199) in the form y*l**3 + v*l**4 + o + b*l + w*l**2 and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 + (15 - 11). Suppose -b + 84 = y. Suppose -m = -b - 6. What are the prime factors of m?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*d*j**5 - 2*d*j**2 + 8*d*j + j**3 + 5*j wrt j?\nAnswer: -740*d*j**3 - 4*d + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w + 3*w. Let p be (w - (-3 + -1)) + -7. Let t be 0\/1*(-1)\/(-2). Put 5, t, p in increasing order.\nAnswer: p, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034400 divided by -1568?\nAnswer: -32325\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -120 (b) 16 (c) -2\/3 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -924, -1935, -2946?\nAnswer: -3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -4*a + 296000. Round a to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 24*n**2 - n - 49. Let g be b(-24). Let q = 87 + g. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 3*a**2 - 2*a + 2. Let t(f) = f + 11. Let c be t(-8). What is l(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*f + 55*f - 15*f - 747 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8067 - -8067.004657. What is i rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069 is divided by 229?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 2443 - 2443 + 2*a**2. Let j be m(1). Solve -j*h - h + 2*r + 14 = 0, 7 = -3*h - 2*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 143 + 136 + 136 + 1127*p - 415 as w + y*p and give y.\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(7) + -2))**2 - (5 + -2*sqrt(7)).\nAnswer: -62*sqrt(7) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -117. Calculate the remainder when b is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9128027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -550, -1925, -4612, -9049, -15674, -24925, -37240?\nAnswer: -53057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53 - -7?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3)*c**(-6))\/(c**(-2)*c**0))**(8\/15))**(4\/3) assuming c is positive.\nAnswer: c**(-224\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skfj when four letters picked without replacement from vsfvtkjt.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 1:49 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -19*x**4\/12 - 79*x + 117. Let g(n) be the first derivative of r(n). Let c(t) = t. Determine g(c(w)).\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9189899, -9189901, -9189903?\nAnswer: -9189905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13663\/15 greater than or equal to -40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -999760*k**3 + 723932*k**2 wrt k?\nAnswer: -5998560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 648?\nAnswer: -5\/648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -5 - 10) + 9 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/((-8)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -bb0f (base 16) to base 3\nAnswer: -2102200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1087318 - -0.03491.\nAnswer: -1087317.96509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(72)\/sqrt(36))*-3.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - 2*w**3)*(2664*w + 2743*w + 2478*w - 1709*w + 2719*w).\nAnswer: -17790*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: (4\/5)\/((-54)\/(-162)*(-3)\/25)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmmm when four letters picked without replacement from {p: 12, m: 4, e: 4}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 9692336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2633, 2124, 1615, 1106?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*o - 12, -6*m + 4 = -5*m - o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - 32 - -27) + 3 - -31.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((25\/90)\/(30\/81))\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:42 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*i**3 - 526*i**2 + 526*i**2 - 9*i**3.\nAnswer: -86*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.37392956 minus 139325?\nAnswer: -139320.62607044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c66 - -4?\nAnswer: 2c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 2*b - 6512, 13*b - 18*b = -4*a + 5236. What are the prime factors of a?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -663 + 2376. What are the prime factors of m?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, and 1 t when three letters picked without replacement from dldllzzzglkztlz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24941*y**2 - 24919*y**2 + 800*y**3 - 794*y**3.\nAnswer: 6*y**3 + 22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10920162 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7594073 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.25787 - -0.04213. What is the closest to -21 in r, -0.05, -5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-8)*2*2. Put v, -18, -5 in descending order.\nAnswer: v, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1464*c**2 + 4970 wrt c?\nAnswer: -2928*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21594679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7838453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85902*o + 12226 with respect to o.\nAnswer: -85902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 - 432 = 0. Let q = 423 + a. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-5 + 5 - 2*h) + 0*h - 2*h + 0*h - 5*h + 5*h + h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19205, -19206, -19207?\n\"Answer: -s - 19204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + 1. Let j be ((-6)\/(-4))\/((-1)\/(-4)). Let g be b(j). Solve -13 = -3*m - 2*i, -i = 4*m - 0*m - g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o. Suppose -5*z + 35 = -0*s - 5*s, 23 = 5*z - 2*s. Let d(k) = 4*k + 22 - 22 - z*k. Determine 9*d(x) - 2*h(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(28*232\/23142).\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -270? (a) 4 (b) -0.89 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556649 is divided by 1862.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 - 3*u**3 + 5*u**3 - 4*u**2.\nAnswer: -3*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6609.499mm to nanometers.\nAnswer: 6609499000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = s - 23, -4*q - 11 = 9. Suppose -43 = -3*j - s. Calculate the remainder when j is divided by 27\/(-3)*(-2)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 - j**2 + 4*j**2)*(-713889*j + 713889*j - 172*j**2 - 1) as o + t*j**3 + r*j + q*j**2 + i*j**4 and give i.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28780667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4 - 2608255*c**3 + 15649650*c**2 - 31299380*c + 20866280 = 0 for c.\nAnswer: -521657, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 528 + -524. Sort 29, 1, 0.3, u in increasing order.\nAnswer: 0.3, 1, u, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10\/7 + -13\/14. Let p = -4.8 + 5. Let x = 18 - 13. Which is the closest to 1? (a) d (b) p (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 (base 7) in base 10?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*h = -116, 4*l = -3*h - 81 - 28. Let r(q) = -q**3 - 23*q**2 - 25*q - 53. What is r(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -60*t**4 + 632*t**3 - 4*t**2 + 59*t**4 - 9*t**2 - 647*t**3 + 14 + 15*t = 0.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -115, -264, -473, -742, -1071, -1460?\nAnswer: -1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-55))\/(-12)*3.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q + 346. Calculate the remainder when 234 is divided by m(-25).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63803, -127152, -190501, -253850?\nAnswer: -317199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14849, 4, -175 in increasing order.\nAnswer: -175, -4, 4, 14849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from zmeezemmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -38, 0.5, 1 in ascending order.\nAnswer: -38, 0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 2786059 + 2786059 - k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*t**2 - 3*t**2 + 4*t**2 in the form d + v*t**2 + k*t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 81, 4, 1, -2 in increasing order.\nAnswer: -11, -2, 1, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 8*h**2 - 7*h - 18. Let f be b(-8). Suppose -3980 = -f*j + 28*j. What are the prime factors of j?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + -0.1. Let u = -7 + 11. Let f = -0.06683 - 0.93317. What is the second smallest value in y, f, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2844\/1254)\/(-6) + 1 + (-68)\/76.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 2*r + 4. Let i(z) = 2*z**2 - z + 4. Let v(q) = 5*h(q) - 6*i(q). Let s be v(-2). Is 14 a factor of s\/(-2) - (8 + -123)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6872218 to the power of 1\/2, to the nearest integer?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -14*v - 412. What is k(-29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1584) + 1 + (sqrt(1100) + sqrt(1100) + 3)*-2)**2.\nAnswer: 520*sqrt(11) + 29769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.3. Let d = z - 1.4. What is d rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4055382 is divided by 289669?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**2*u**3 + 11*d**2*u - 542*u**3 wrt d?\nAnswer: 6*d*u**3 + 22*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/14 and -79\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, 113, 321, 611?\n\"Answer: 41*d**2 + 3*d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6))\/y*y**(-2\/17)\/y*(y**(-3)*y)**13 assuming y is positive.\nAnswer: y**(-359\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -3075650.18594788?\nAnswer: 3075648.18594788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -14 - 1\/2*z**2 + 0*z. Let p(u) be the second derivative of -3*u**3 - u. Calculate t(p(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31128?\nAnswer: 2, 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -298704967*n**3 - 318611376*n**2 wrt n?\nAnswer: -1792229802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -153 - -30656?\nAnswer: 30503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(80) - -4*(sqrt(80) - sqrt(80)*1)) + (4*(sqrt(80) + -2*sqrt(80)) - sqrt(80)))\/(sqrt(810) + -2*sqrt(810)*2).\nAnswer: 8*sqrt(2)\/27 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2264, -13704, -32772, -59468, -93792, -135744, -185324?\nAnswer: -242532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 220*p**4 + 416*p**4 - 193*p**4 + (4*p - 5*p + 3*p)*(2 + 2*p**3 - 2) + p**4 + 4*p**4 - 3*p**4 - p + p**4 + p.\nAnswer: 450*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-5) - (-10 + (-364)\/(-35))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52978*5.\nAnswer: 264890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 74784*p + 108110972.\nAnswer: 4*(p + 1579)*(p + 17117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Suppose 2*h = -0*c - 4*c - 22, -2*c = 10. Let f be -1 - (-66)\/(-3)*h. Let j = f + -17. Give t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5952?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.04 and -44.1548.\nAnswer: -45.920992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 834636409457 - -212.\nAnswer: 834636409669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3336955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 + 84*y**3 + 666*y**2 + 324*y - 9477 = 0. Calculate y.\nAnswer: -13, -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l. Let v(k) = 4*k + 7. Let z(n) = -5 - 55*n + 24*n + 28*n. Let u(g) = -5*v(g) - 7*z(g). Determine h(u(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4366*y**2 + 2269*y**2 + 2 + 23*y**3 - 1 + 2214*y**2 to the form n*y**2 + j*y**3 + m + d*y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1417, 9, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310816 and 25696?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 4:37 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 1. Let u(o) = -o**3 + 5*o**2 - o + 2. Let n(j) = 4*i(j) + u(j). Let f be n(4). Factor -a - 2*a**f + 2*a**2 - 2 + a**2.\nAnswer: (a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/11)*i**0\/i*i*i**8*i*i**(-1\/8))**(-4\/31) assuming i is positive.\nAnswer: i**(-813\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*j**3*q*t**2 - 7*j**3*q - 9*j**2*q*t**2 - 3*j**2*q + j**2*t**2 - 2*j*q*t wrt j?\nAnswer: 402*q*t**2 - 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 - -4084530?\nAnswer: 4084483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75531\/8 + 9453. What is the common denominator of 57\/10 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141246094?\nAnswer: 2, 11, 37, 73, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5381, -4907, -4431, -3953?\nAnswer: -3473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - l = -41, -o - 84 + 90 = 14*l for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three quarters of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 30 = 29*s + 10. What is the closest to 1 in s, 0.4, 1\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w, -3*g - 2*w = -18. Solve -3*m - g*q + q = 34, -5*m - 3*q - 30 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.2714 + 1.0654. Round g to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -3. Let r be 1 + 4\/((-8)\/g). Find the second derivative of 0*v**4 + 2*v + v**r - 6*v wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (1 + 0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10571730?\nAnswer: 2, 3, 5, 13, 27107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) - (-1*sqrt(384) + sqrt(384)) - sqrt(24))\/(sqrt(432) + (sqrt(432)*2 - sqrt(432)) - sqrt(12)) + sqrt(4)\/sqrt(1152) + -3.\nAnswer: -3 + 83*sqrt(2)\/264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -253*t**3 - t**2 + 4*t + 5. Let w be u(-1). What is the greatest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-199)\/(-3) + 40\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5188.767 millennia in years?\nAnswer: 5188767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152305 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -382\/5 - -76. Let w = -38\/145 - 4\/29. Is w greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 1.85.\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from {u: 1, b: 1, i: 6, q: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*a + 46*a + 132. What is the remainder when 267 is divided by (-168)\/(-7)*(-4 + (-75)\/a)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1287*s**2 + 13*s - 2*s**3 - 7 + 1280*s**2 - 2570*s**2 as w + z*s**3 + k*s + h*s**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-56))\/(20\/35).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07320317 rounded to 5 decimal places?\nAnswer: -0.0732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38397\/5 - 7679. Sort 62, c, 2, -2, -2\/5.\nAnswer: -2, -2\/5, c, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -136923\/3890 - 1\/778. Let i be (-1 + 33\/12)\/(12\/(-240)). Let n = f - i. What is the common denominator of 14\/3 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1496.299979909 - 1496.3. What is y rounded to 7 dps?\nAnswer: -0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 + -296. Let k = v - -166. Let z = 898 + -857. Calculate the remainder when k is divided by z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, 0.4, -0.2, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*u + 35 = 62*u. Suppose 2*g - 155 = u*b, 15 = -3*g - b + 239. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {u: 2, q: 1, a: 1, i: 2, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/6 (b) -0.054 (c) -11 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21237\/2 or -10619?\nAnswer: -10619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(9\/7)*v)*v\/v**(-1\/3))\/(v**(1\/5))**(-4\/5) assuming v is positive.\nAnswer: v**(109\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b + 16. Suppose -2*m = 3*m - 175. Let u = 53 - m. Solve 2*z - 5*c = u + b, 5*c = -20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 168*1 - (8 + 78\/(-13)). Let n = 168 - z. Solve 4*p = 3*k + 16, -6 = n*p - 2*k + 4*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1521 from -0.2627498.\nAnswer: 1520.7372502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222142 = -209*z + 146325. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 4*n**2 + 8*n + 17. Let v be a(-6). Suppose 38*g = v*g - 615. Calculate the smallest common multiple of 5 and g.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(700) + 1*sqrt(700) - sqrt(700) - sqrt(700) - sqrt(700) - (sqrt(77)*2)\/sqrt(11)) + 0 + 0.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 23*x**2 - 140*x + 106. Give q(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136165 + -949.\nAnswer: 135216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*s + 13 = 4*s, a + 2*s = 6. What is the highest common divisor of 44 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 53 + 53)*(-3*x + 4*x**4 + 3*x) + 3*x**2 - 3*x**2 + 2*x**5 + 4 + 3 - 12 + 2*x**5.\nAnswer: -16*x**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 1550 = -1543. Are y and 17\/39 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/11425430 and -65\/30333.\nAnswer: 34276290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 19*v - 101. Let j(a) = -5*a + 29. What is 9*j(q) + 2*w(q)?\nAnswer: -7*q + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 56\/16*60\/21. Let p(q) = q**3 + 24*q**2 - 28*q + 15. Let t be p(-25). What is the highest common factor of c and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 7*b**2. Let w be ((-7)\/(-2))\/(2\/(-4)). Let t be v(w). Suppose t*p = -3*p - 3. Put p, -5, 4\/9 in ascending order.\nAnswer: -5, p, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -3c3?\nAnswer: 3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 33*x - 1410. Calculate the remainder when 291 is divided by d(43).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(300) - sqrt(300) - sqrt(300)) + 0 + -1 + sqrt(300)*2)*-1)**2 - (-6*1*sqrt(300) + -5)*-5.\nAnswer: -340*sqrt(3) + 1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 276 divided by 12\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 62359228?\nAnswer: -62359228.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113\/171 - (-96)\/(-912)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 - 399120*h\/7 - 57033262\/7.\nAnswer: -2*(h + 143)*(h + 199417)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 331946.4ml in litres?\nAnswer: 331.9464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/2*(2 - 0). Suppose 0 = -n - f + 54, 0*n + 3*f = -2*n + 110. Suppose g = -j + n. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 244*r**2 + 484*r + 2. Give z(242).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/30 + 11*p**4\/6 - 93*p**2. Let s(v) = -2*v. Give 44*s(d) + 2*x(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 8*g - 2*g. Which is the second smallest value? (a) -5 (b) g (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575335 (base 8) in base 14?\nAnswer: 51257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 20 = o, 2*o - 3*w = 3*o - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let x(i) = -24*i - 2. Let z be x(d). What is the smallest common multiple of 6 and ((-11)\/z)\/(2\/(-44))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v = -k + 35*v + 16, v = 3*k - 40 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*w - 251*w - 270*w**2 + 121*w.\nAnswer: -270*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128928 and 31990260?\nAnswer: 255922080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 5*l + 11, -3*t + l = 0. Let m = 0.5 - 3.5. Let d be (-3 + 172\/54)*(-162)\/(-135). Which is the nearest to t? (a) d (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1909, 1957, 2005, 2053, 2101?\n\"Answer: 48*n + 1861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113.49 + -114. Let a = 0.3 - 0.29. Let c = a + g. Put -4\/3, c, 5 in descending order.\nAnswer: 5, c, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 286 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9102 = 4*l - 16294. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, q: 1, j: 2, f: 2}. Give prob of picking 1 l and 1 f.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -114.07.\nAnswer: -114.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 plus 12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z - 9. Let s be t(13). Let a = 65 - s. Is a smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00371279 to 4 dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (430\/5375)\/(116\/(-11890))?\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1033\/10 + 207\/2. What is the third smallest value in 1, -0.3, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.056423724 rounded to 3 decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173.69942873 + 2.\nAnswer: -171.69942873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:20 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/4 (b) -1\/6 (c) -0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 8*z - 6*z + 196, 0 = -p - 4*z - 113. Let q = p - -254. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -17877.\nAnswer: -5363.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134896707?\nAnswer: 3, 11, 509, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 7213*s + 258377. What is z(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**3 + 50*j**2 - 51*j**2 + 2 - 4*j + 7*j + 5*j**4 - 6*j**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 27*k**2 + 22*k + 38. Let i be l(-9). Suppose i + 1053 = 8*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -2, 0.5, -245?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -19*t - 25. Let x(u) = 10*u + 11. Give -6*r(p) - 13*x(p).\nAnswer: -16*p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 35. Let r be z\/(-6) - 6\/18. Which is the third biggest value? (a) -2\/9 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4761 and 1326111.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.3 (b) 6 (c) 0.4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 2:23 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1837e049 + 0?\nAnswer: 1837e049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -17. Let u be -6*(-2)\/18 - (-48)\/9. Which is smaller: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 147 + 451. Let o be 10\/(-45) + g\/18. Solve -15 = -l - o*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 16*c. Let s(z) = -z**2 - 96. Calculate s(t(f)).\nAnswer: -256*f**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 401389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 325, 3\/5, -17, 5\/6 in increasing order.\nAnswer: -17, -2\/9, 3\/5, 5\/6, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/((-1932)\/(-575)))\/(10\/12 - 1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 162 - 0.1\nAnswer: 161.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7387\/5 (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49457 and 262086?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*d + 5*h - 76, 5*h - 77 = -4*d. What is the greatest common divisor of 126 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3213 divided by 3.\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 27 + 135 - 3.\nAnswer: -2*t + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -28759\/6, -0.6, 0.5?\nAnswer: -28759\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/856 + -1705\/5992. Which is the third biggest value? (a) n (b) -2\/5 (c) 0.0581\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(320)*-1 - ((sqrt(180) - -2*sqrt(180)) + sqrt(180)))\/(-1*sqrt(1440)*-4)*-6*-5.\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -279171*v**3 - 2*v**2 - 7*v - 15 wrt v?\nAnswer: -1675026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 8*d**5 - 134*d**4 - 58*d**3 + 418*d**2 - 166*d - 68 = 0.\nAnswer: -2, -1\/4, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, a: 1, o: 2}. Give prob of sequence oeo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368521.9 rounded to the nearest 1000?\nAnswer: 1369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17179 (b) 0.3 (c) 10\/871\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*c**4 + 15639*a*c**3 + 102*a*c**2 + a*c + 60*a - c**4 + 2*c**3 + 34*c**2 - c wrt c.\nAnswer: -24*a*c + 93834*a - 24*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(20)\/sqrt(80) - sqrt(4))*-4*1.\nAnswer: 16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(-3*t**4 - 3*t**4 + 2*t**4 + 0*t**4 - 5*t**4 + 2*t**4 + (-1 + 0 + 2)*(t**4 - 4*t**4 + t**4) + t**3 - t**4 - t**3).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1009 - -1019. Let v = 1387 - 9637\/7. Do v and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8208395511 - -39.9\nAnswer: 8208395550.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1 - 2 + 0 + k. Let q be z(-3). Let y(i) = -2*i - 1. What are the prime factors of y(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/15 + (-13)\/(-2)*52\/1690. What is the fifth smallest value in -3, 4, i, 0.01, 0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18751.\nAnswer: 17, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 603\/10?\nAnswer: 603\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 36. Put 8, u, 5 in ascending order.\nAnswer: u, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 7:15 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-18\/11)*g\/g**(3\/4) assuming g is positive.\nAnswer: g**(-61\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -28*h - 1712. Let r = 556 - 366. Calculate the remainder when r is divided by l(-62).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1255 + -190. Let n = d + -711. Suppose 0 = -2*m + 3*g + 2*g + 399, -2*m + n = 4*g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2560*m**3 - 5099*m**3 + 2544*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8246*m + 11 = 8248*m - 3*y, -m + 7*y = -11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -30*q + 14 + 1, -2*a = 5*q - 65 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/818 and 69\/398.\nAnswer: 162782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 8*u + 53*u**2 + 8 - 96*u**2 + 44*u**2. Let i be t(-3). Let l(a) = a. Let x be l(5). Solve -x*m + 13 = -4*q, i*m - 17 = -5*q + 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -317.6 to the nearest 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 242.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 15*o**2 - 99*o + 508. List the prime factors of p(-41).\nAnswer: 2, 14891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1379, -1413, -1461, -1517, -1575, -1629, -1673?\n\"Answer: f**3 - 13*f**2 - 2*f - 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -370, -568, -788, -1036, -1318, -1640, -2008?\nAnswer: -2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/15 - 4\/10. Suppose -3*k - x = 1. Let q = k + 0. Is q less than or equal to 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 2, f: 1, k: 1}. What is prob of sequence xf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1974127, -3948252, -5922377, -7896502, -9870627?\n\"Answer: -1974125*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -159927, -319853, -479779?\n\"Answer: -159926*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1074 and 17542.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 40923*k**2 + 18921*k**2 + 18163*k**2 + 3.\nAnswer: -3839*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 plus 1.1?\nAnswer: -304.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 3*i**2 + 2*i - 3. Let a be n(3). Let u be 1 + 2\/6*a. Suppose u*q = t + 120, -2*q + 2*t + 45 = -77. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y + 5. Solve 3*j - 2*a = -3, y*a = 3*j + 2*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2144 - -33042230?\nAnswer: 33040031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(1 - -1). Let w be 3 - 1\/1*x. Let s = -8203 + 8205. Solve -10 = s*t + 2*u + w*u, -u = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppfppfffppp. What is prob of sequence pppp?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 113752 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*m**4 - 117*h**2*m - h**2 + h*m - 39*m**4 wrt m?\nAnswer: 12*h**2*m**2 - 468*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*u = -22, -2*z - u = -6 + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2330707555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001111 + -11000011?\nAnswer: 100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/33)\/((-6)\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 336 from 0.75.\nAnswer: -335.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 5 + -4 - 1 - (-87 - -81)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -18. Let y = 18 + s. Let n = 19 - y. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*n = -3 - 0, 4*i + 3*n = 12. Suppose 0 = 4*v + i*x, -2*v = -6*v - 4*x. Solve 5 = -v*c + c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17 and 0.0384.\nAnswer: -16.9616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5959 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**3\/6 + 7*i + 7. Let m(s) = -18*s + 102. Let h(y) = -1. Let f(q) = -612*h(q) - 6*m(q). Determine d(f(t)).\nAnswer: -108*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 10. Let c be m(6). Suppose 5*o = -5*d + 155, 5*d - 2*d + c*o = 96. Let a = 55 - d. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/(-1750)*(-4*4\/28)\/(70\/245).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002379 to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eknzw. What is prob of sequence ezk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1317000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 12480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 7. Suppose 0 = 5*p + 18 - 3. Calculate the remainder when 2 + (p + 3 - -12) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 89, -208, -695, -1366, -2215?\n\"Answer: v**3 - 101*v**2 - v + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000003.\nAnswer: 1000003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, h: 13}. Give prob of sequence hg.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1254 and 1539.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/3)*m\/m**(-13))**(1\/7)\/((m**(-1\/6)\/m*m*m)\/(m*m\/(m**(-1\/5)*m))*m**5\/(m\/((m**0*m)\/m)*m)) assuming m is positive.\nAnswer: m**(-41\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158869?\nAnswer: 79, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001361 rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 232741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 96\/(-60) + 2*2\/(-10). Let m(u) = 84*u**2 - 4*u - 5. What is the units digit of m(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 8 - 4*v + 0*v - v**2. What is the remainder when 38 is divided by j(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 17 + (18 - 14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3325269820?\nAnswer: 2, 5, 53, 61, 51427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21370, -42740, -64110, -85480?\n\"Answer: -21370*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 28.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 79 - 72)*(-4*c**2 + 4*c**2 + 2*c**2) + (0 + 0 + c)*(1 + 2*c - 1).\nAnswer: 200*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c + c**2 + 7*c + 6 - 9*c = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**(-1\/3)*j*j)\/j**(-7))**(1\/5)\/((((j**(-2\/9)\/j)\/j)\/j)**38)**(-9) assuming j is positive.\nAnswer: j**(-3299\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0*d**2 - 17*d + 1\/24*d**4 + 0 + 2\/3*d**3 - 1\/24*d**5. Let o(u) be the second derivative of w(u). What is o(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 853 - 65. Suppose f = 4*j - j. Let x(b) = 4*b**2 - 168*b - 1219. Let o be x(-7). Calculate the greatest common factor of j and o.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 139 + -3?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-2 - (1 - 1)). Suppose l - 2 = -2*t, d*l + 5*t - 5 = -2*l. Is 0 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**2 + 3*d**4 - 4*d**2 + (d**2 + 5*d**3 - d**2)*(8*d - 7 + 7) to b*d**4 + o*d + u*d**3 + g + j*d**2 and give b.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y**2\/5 + 234*y\/5 + 36\/5 = 0. Calculate y.\nAnswer: -6, -3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**8\/112 + r**4\/2 - 4*r**2 - 6. Let a(t) be the second derivative of f(t). What is the second derivative of a(w) wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (12 + (-6 - 4) + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 = 5*j - 6, 0 = -j + 5*d - 10. Let u(f) = -12*f + 14. Let l(z) = 5*z - 6. Let m(h) = j*l(h) + 2*u(h). Calculate m(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8653847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 613.5 + -1011943.01019.\nAnswer: -1011329.51019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -0*k + 5*f + 86, 0 = 3*k + 2*f + 61. Let g(u) = 2 - 9*u - 22 - 1. What is the hundreds digit of g(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -52, -49, -46, -43?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a kilogram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2410\/90 - 31) + (-1 - 1) + 9 + 3.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/8, 0.2, 0, 2.19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let i = k - 1.99. Let q = i + -0.0102. Round q to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 8*h**2 + 5*h - 8. Let j be p(-8). Let g = j - -48. Let w = g - 0. Solve w = n - 2*n, -2*z - 2 = 3*n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**5*y + 5*x**5 + 13*x**3*y - 2*x - 262*y - 4 wrt x?\nAnswer: -40*x**3*y + 100*x**3 + 78*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(180) + (sqrt(15)\/sqrt(3) + 1)*3.\nAnswer: -2 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*f + 180. Suppose 0*t + f = 6*t. Solve 32 = -t*y + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-15))\/(6\/225). Let f = y - -165. Suppose -23*h + 414 - 69 = 0. Calculate the greatest common factor of h and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/((-4)\/8)*3. Suppose -s*n + 14*n = 0. Suppose 12*b - 2*b - 350 = n. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**3\/3 + 5*s**2 + 13*s + 40. Calculate a(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7272604 is divided by 454531.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.6, -3, -0.1, -1\/4, -2\/15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-22)\/(-4)*-2. Let i = f - -5. Let h = i + 166. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1*sqrt(300) - sqrt(300)) + sqrt(300) - sqrt(300)))**2 - ((sqrt(363) + (sqrt(363) - (-1 + sqrt(363))))**2 - sqrt(363) - (-2 + (0 + sqrt(3))**2)).\nAnswer: -363 - 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i - 11. Let f be (-2 + -2)*(-9 - 10). Let l = f - i. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*h - 3)*(-3 + 1 + 5)*(-2*h + 3*h - 2*h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - 10) + 2 - (80 - 86)) + 17.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20305, 3, -2 in increasing order.\nAnswer: -2, 3, 20305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(-5)))\/v)\/v**(-1\/7)*(v**(-2)*v)\/(v*(v*v**(1\/9))\/v))**(-5\/8) assuming v is positive.\nAnswer: v**(1255\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**(-32)*k)*k*k**(-3\/16)\/k)**33 assuming k is positive.\nAnswer: k**(16797\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2851 + 13*n - 73*n + 2691 wrt n?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/6 + 69*i**2 - 6749*i\/6 = 0.\nAnswer: 0, 17, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 14 = 0. Solve -m**2 + 3*m**2 - 3*m + 0*m**3 - 2*m**4 - 4*m**3 + t*m = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.9642 rounded to two decimal places?\nAnswer: 231.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 47?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3910*w + 52397 - 52397)*(2*w**3 - 4*w**3 + 3*w**3).\nAnswer: -3910*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -278*q + 5801. Calculate t(20).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*h - 9*h + 7*h)*(-16*h**2 - 299*h + 299*h).\nAnswer: 416*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2 = 42. Let f(g) = 5*g - 34. Let r be f(v). Solve -2*o + 4*h = -18, -2*o + h + r = -0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15902\/17 or -935?\nAnswer: -15902\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2 - 8*x + 6. Let i be g(-6). Suppose n - i - 6 = 0. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -1687, -5793, -13873, -27277, -47355, -75457?\nAnswer: -112933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944710 is divided by 157444?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-64)\/(-20) + 171\/1045*11. Let y = -9 - -5. What is the smallest value in d, 50, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -1. Let a = -16 - o. Let z = -11 + a. What is the second smallest value in -1\/3, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008698 rounded to six dps?\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 26. Let g = i - -9.7. Let v = -0.242 - g. What is v rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, 0.079, 44\/3, -2\/3 in increasing order.\nAnswer: -2\/3, -0.2, 0.079, 2, 44\/3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 45?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 112.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, and 1 t when three letters picked without replacement from {a: 2, e: 1, s: 1, f: 2, g: 7, t: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**13*z**13 assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 22657.146 months?\nAnswer: 1888.0955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -67. Suppose 1710 = -17*r + w*r. What are the prime factors of r?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-1 - 3 + 6)*(12 + 15 - 38)*(-91*n**2 + 91*n**2 + 20*n**3).\nAnswer: 880*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w - 25*w - 17*w + (-2 - w + 2)*(-2 + 0 + 4) - 14*w + 27*w + 1 - 18*w + 4 - 4 - 3*w.\nAnswer: -45*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 10. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -3, 10, -6 in ascending order.\nAnswer: -8, -6, -4, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, t: 2, u: 1}. Give prob of sequence bo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 7 = -0*m + 2*o, -22 = -4*m + 2*o. Let r(u) be the second derivative of 0*u**2 - 1\/45*u**6 + 0 + 1\/9*u**m + 1\/10*u**5 - 1\/6*u**4 + 3*u. Factor r(a).\nAnswer: -2*a*(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4953443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5520, -11113, -16778, -22515, -28324?\nAnswer: -34205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1676, 3341, 5004, 6665?\nAnswer: 8324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from zzzwtpzbzzztzzzbzzzz.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 80010 greater than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1260, -4879, -10890, -19281, -30040?\nAnswer: -43155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 divided by 2.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 9*c + 5. Suppose -5*i + 4*i = -7. Is 7 a factor of d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) - 12\/7 - 5. Let g be s\/2*(-8)\/28. Solve -2*x - 9 = g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223687 and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 10*s**3 + 6*s**3 + 4*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -2*h + 8, 110*h - 101*h - 5*d + 10*d + 34 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107 - -21?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83 - (-77 + 0)) + 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31720 (base 16) in base 4?\nAnswer: -301130200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1610, 1332, 866, 212?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/2*a**4 + 0*a - a**3 + 3\/2*a**2 = 0. What is a?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -513 * 5.2.\nAnswer: -2667.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1664627 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-6*(sqrt(136) - sqrt(136)*-4 - sqrt(136)))\/(((sqrt(88) - sqrt(88)*-1) + sqrt(88) - sqrt(88))\/sqrt(11) + sqrt(8) + sqrt(80)\/(-2*sqrt(10))))**2.\nAnswer: 352512\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -37. Suppose -o + 3 = l, 4*l - n*l - 3 = 3*o. Let c(p) = -11*p**2 + 1 + 12*p**2 + 2 + o + 5*p. Calculate c(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 430*l**2 - 168*l + 486. Does 6 divide r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8245 or 1153?\nAnswer: 1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2*b = -88, 4*b - 9 = -1. Let u(k) = 6 - l*k**2 - 12 + 6. Let x(p) = 6*p + 32. Let w(m) = -m - 6. Let i(j) = -16*w(j) - 3*x(j). Give i(u(s)).\nAnswer: 46*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-1)\/2*12. Is x <= -38\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14770 + 14794 + 1340*i**3 - 1270*i**3 as w*i**2 + c*i + l + n*i**3 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 9. Determine x(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.35122 to 1 dp.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxc when three letters picked without replacement from {w: 6, o: 3, p: 2, c: 1, x: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Let f(y) = 69*y + 808. What is f(q(s))?\nAnswer: 138*s + 808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/72 and -145\/74304?\nAnswer: 74304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-128)\/24 - -7)\/(-1). Suppose t + 2*l + 3 = 8, -18 = 3*t - 5*l. Do j and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 - 15*n\/4 - 9.\nAnswer: -(n + 3)*(n + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (137\/(-12) - -7)*(-9)\/2. Let b = 653\/24 - a. Factor b*p**3 + 16*p**2 + 4\/3 + 10*p.\nAnswer: 2*(p + 1)**2*(11*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 438401\/23115 - 1275\/67. Let y = -3\/23 - k. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443581861 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26\/(-104))\/(1\/(-20)). Suppose 3*z - 1373 = -2*b, o*z - 4*b - 104 = 2177. What are the prime factors of z?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d - 3. Let f(n) = -15*n + 6. Let o = 121 - 127. Let a be (12\/15 - 0)\/(o\/(-45)). Let t = 10 + 1. Give a*f(j) + t*u(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55419 and 56985.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/22 (b) 1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = 9*q - 14*q. Let k = 77 + q. Suppose -b = -k*p + 102, -p + b + 2*b + 20 = 0. Solve 5*j - p = d + 3, 4*d = 2*j - 26 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171186\/7361 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w = 527 - 767 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.1. Let k be (-1)\/(4\/(-24)) - -1. Let v be -3 + 44\/(-12) + k. Which is the smallest value? (a) 4 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18*(156\/8)\/3.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/1621?\nAnswer: -8\/1621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204209\/23205 - 1\/4641. Solve 56\/5*p**2 + 4\/5*p**5 + 12\/5 - n*p - 24\/5*p**3 - 4\/5*p**4 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162765 and 870?\nAnswer: 9440370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -8, c + 5 = -v - 2*c. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-7)\/28*-20. Let j = -47 - -39. Let l be ((-2)\/(-4))\/(j\/(-80)). Solve l*d - 4*d + 3 = -y, 0 = 4*d + a*y + 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -1, 1, 516?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 43. Let i = -12 - m. Let x = 6 - i. Put x, -4, 3 in decreasing order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81\/28 - 22\/7. What is the nearest to x in 2, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 49*q + 1 + 7327*q.\nAnswer: 7376*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 2, h: 4, l: 4, n: 8}. Give prob of picking 1 l and 2 n.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-6 - -6 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + t - 1. Let z(y) = 14*y - 27460*y**2 + 13727*y**2 + 13727*y**2 - 7 + 4*y**3. Give -6*g(h) + z(h).\nAnswer: 4*h**3 + 8*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55594071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -958, -1908, -2852, -3790, -4722, -5648?\n\"Answer: 3*n**2 - 959*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40259 and 381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1399842, 1399841, 1399840?\n\"Answer: -z + 1399843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 685186 != 685186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -16 + -1 - (1 + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26767*w**3 + 11*w**2 + 164*w**4 + 24*w**4 + 2 - 26769*w**3 - 9*w**2 to the form a + d*w**3 + i*w**4 + r*w + k*w**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1110*m + 4. Let d be s(3). Suppose 0*w - w = -2*h - d, -2*w = h - 6688. Is (-3)\/(-6)*w\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392 divided by 98.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -126167\/32 < 8.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-18))\/((1 - 3)\/(-6)). Let t(y) = 3*y + 5. What is t(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 3*p + 10, 0 = -4*g - 5*p + 6. Suppose -g*c + 61 = 5. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o. Let c(a) be the third derivative of a**8\/20160 - a**5\/12 - 12*a**2. Let x(z) be the third derivative of c(z). Give v(x(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.053 - -0.453. What is the closest to -4 in -0.2, 0.1, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 1 + 4. Let b be -7*f*3\/3. Let h = 0 + b. Solve -h*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 2. Let w(n) = 11*n - 17. Let x(o) = 5*o - 8. Let u(t) = 6*w(t) - 13*x(t). Let l be u(2). Which is the smallest value? (a) 0 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 54 = 7*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c + 12. Suppose -77 - 16 = -c*d. Suppose 6 = m - d. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158.119 + -158. What is z rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 + 110 + 34*k - 36*k - 15 in the form t*k + l and give l.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 918342511?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*d + 897 = 106*d. Solve 25*c - d*c + 8 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17166593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -162379, -162374, -162367, -162358?\n\"Answer: p**2 + 2*p - 162382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + -4 + sqrt(1088) + sqrt(1088)*1*-1 + -2)**2.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13774 is divided by 3442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 52*d**2 + 250*d**2.\nAnswer: 302*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**4\/4 - 2*l**3 - 8*l**2 - 4*l - 420. Determine y(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -3. Suppose 2*m - 8 = -5*t + 1, 12 = 4*m + 4*t. Does 8 divide h\/m + (-17)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 460175?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100311 + 3?\nAnswer: -100302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (58 - 22) - (-1 + 1 + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 4) in base 14?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**4\/2 + 9471*u**3 + 92459449*u**2\/2 + 13068123684*u + 951929539208 = 0.\nAnswer: -9323, -148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = t + 3, 5*t - 2*t - 11 = c. Solve z = 3*z - 3*l - 15, 15 = -4*z - t*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.32536 and 43.6672?\nAnswer: 47.99256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1682 = 7*n + 1682 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 195\/6*(-8)\/(-10). Let v be (-4*31\/(-18))\/(s\/(-39)). Which is the third biggest value? (a) 0.3 (b) v (c) 0.2 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13493?\nAnswer: 103, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20834546*u**2 - 110550*u + 37.\nAnswer: -41669092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 83*h - 67. Let n be d(2). Is n > 301\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 5366108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 28*v**2 + v + 1. Suppose 0 = 5*d + 4 + 1. Let f be u(d). Suppose -2*n = -14 - f. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 690*v - 29240.\nAnswer: 5*(v - 172)*(v + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175 - 175. What is the least common multiple of 60 and -2 - x - -5 - (-20 - 1)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101001000000100 (base 2) to base 4.\nAnswer: 1011020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 12 = -4*w, 2*w - 6 = 2*n + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) -0.179 (c) 0 (d) 1.8 (e) -7\/3 (f) 1\/4 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001827 rounded to seven dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-119)\/35 + 4)\/(((-1)\/15)\/(306\/459))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14046 - 114351?\nAnswer: -100302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240063 is divided by 10558.\nAnswer: 7787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (176\/28 - 1) and 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -107*r. Let j(w) = 8721*w. Let t(l) = -5*j(l) - 408*v(l). Suppose 0 = 48*n - 6 - 42. Is 21 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*y + 37*y - 15730 = 11531 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.002229422088 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*u - 5*u**2 - 9*u**3 - 73*u wrt u.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*w**2 - 409*w**2 + 109*w**2.\nAnswer: -450*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/(-36))\/(2\/(-8))*897?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(18\/5)\/(r**1\/r*r*r**(-2))*(((r\/r**3)\/r)\/r)\/((((r**5\/r)\/r)\/r)\/r)*(r**0)**(-1\/40) assuming r is positive.\nAnswer: r**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 815 divide 2543615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3181 (base 15) in base 10?\nAnswer: 10471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 147079610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9665928?\nAnswer: 2, 3, 17, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roo when three letters picked without replacement from rrooorrrrooor.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -16*v + 437. Calculate the remainder when a(-7) is divided by 142.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03991072779 minus -0.243?\nAnswer: 0.20308927221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 4)*(2 - 2 + 1)*((-24 + 42 - 4)*(-2*p - 3*p + 3*p) + 6*p - 4*p - 3*p) to k*p + t and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 98. What is the remainder when (-3)\/((-6)\/64) + 1 is divided by k(27)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -0.41.\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.148 - -0.148. What is the second biggest value in v, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.53 in -4, -3, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-43)*2\/6*1. Is q <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3479*k**5 + 96*k**4 - 35*k**3 + 385392655*k**2.\nAnswer: 208740*k**2 + 2304*k - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-44) - 18816\/154)*-13*1. What is the highest common factor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 + -12 + 4 + 10. Solve 0 = f + 4*h - 11 - 7, 3*f = 5*h - x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 359.8 - 360.8. Let c be 2\/3 - (-8)\/(-21). What is the closest to b in c, 5, 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 5)*(4 - 2 - 1)*(0*n**2 + 5*n**2 - 2*n**2) as u + s*n**2 + d*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*m = 61*m - 64 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-2499)\/(-136))\/7)\/((-5)\/(-2)*(-78)\/52)\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 277*r + 10. Let b be l(1). Let u = -271 + b. What is the least common multiple of u and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.15 and 0.486?\nAnswer: 0.0729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**7\/15 - m**5\/12 + 10*m**2 - 11. Let q(v) be the second derivative of t(v). Find the third derivative of q(k) wrt k.\nAnswer: 336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-33)*z\/(z\/(z**(3\/5)*z)) assuming z is positive.\nAnswer: z**(-157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*u + 167 + 697*u - 167 to v*u + l and give v.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/5 or 6987?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -36322 to the nearest 100.\nAnswer: -36300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.261 + 133.044.\nAnswer: 133.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21222101202 - 1221210?\nAnswer: 21220102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -2599\nAnswer: -26\/2599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21515 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 prob of sequence uu when two letters picked without replacement from {n: 2, g: 8, u: 2, h: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 15303 + s**2 - 2*s + 2*s**3 - 15301 + 3*s + 19*s**4 as d*s**2 + n*s**4 + z*s**3 + l*s + f and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3567*p - 9. Let o(c) = -1189*c - 2. What is -2*k(q) + 7*o(q)?\nAnswer: -1189*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 - 81*d\/5 - 2142\/5.\nAnswer: (d - 102)*(d + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(-1)\/(1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17066 and 950712?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917836813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661 - 167 - 183 + 9*d - 164 - 149.\nAnswer: 9*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {e: 2, c: 2, d: 2, j: 1, a: 1, k: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7876 is divided by 246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1740410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/400676590 and 61\/240405954.\nAnswer: 1202029770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 4*o = 0. Suppose -5*r + 4*j = -433, o*r + r - 74 = 5*j. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 34*v**2 + 131*v + 10. Let g be p(-4). Solve -16*q + 50 = -g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*v + 22*m**3 - 6*m**2*v + 59155*m**2 + 12*m*v - 85756*m - v + 3 wrt m?\nAnswer: 6*m*v + 132*m - 12*v + 118310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 504 = -4*k, -3*t - 4*k - 120 = -2*t. Let s = t + 73. Let g = -10 - s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -17, -67, -169, -341, -601, -967?\nAnswer: -1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21185 and 285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 325 in descending order.\nAnswer: 325, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 832605.2 millennia in months?\nAnswer: 9991262400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + (-1776)\/(-765). Let v = 7221\/527 - 443\/31. Let g = i + v. Which is the second smallest value? (a) 3\/4 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w**2 - 309*w - 280. Calculate x(-61).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*d - 331 - 185 = 0, g - 252 = 3*d. Suppose -2*t - 2*z = -130, 4*t + 3*z - g = z. Calculate the highest common divisor of t and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 966 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.3 - -10. Let q = i - 3. Let k = q + -0.2. What is the smallest value in -4, k, -6\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-5))\/(16 - (-2483)\/(-155)). Let k(q) = q**2 - 30*q - 36. Calculate k(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*f**2 - 233 - 13*f**3 + 10*f**3 + 2*f**3.\nAnswer: -f**3 + 325*f**2 - 233","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69270 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 + 8 = 0, 2*c = -h - 6. Suppose 290 = h*t - y, 103 + 45 = 2*t - 2*y. Calculate the remainder when t is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 15*i + 11*i + 0)*(-51 - 172 - 4 - 11).\nAnswer: 952*i + 476","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x**2 + x - 13. Let r(f) = -9*f**2 - 14. Let t(u) = 7*k(u) - 6*r(u). Let o(y) = y**2 - 3*y + 3. Give -5*o(j) - 2*t(j).\nAnswer: -j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**18\/((m\/m**(-11))\/m)*m**(1\/11)\/(m\/m**(1\/4)) assuming m is positive.\nAnswer: m**(279\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38574.36s in nanoseconds?\nAnswer: 38574360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 - 4*z**3 + 0*z**3 + (3 + z - 3)*(z**2 + 5 - 5) + 16 + 10*z**3 - 16 + (2*z**2 + 0*z**2 + z**2)*(z - 4*z + 2*z) - 3*z**3 + 2*z**3 - 2*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 d when three letters picked without replacement from {d: 3, c: 4, m: 7}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from disdazsvssvasav. Give prob of sequence dizd.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 34391.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-42))\/(-3)*2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 3*c - 3. Let q(z) = z**3 + 5*z**2 + 8*z + 43. Let b be q(-5). What is l(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -44, -73, -120, -191?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3655, 0.5, -0.42?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 124. Suppose -2*p = -5*p. Let q be (120\/(-50))\/(p - -2). Put q, 0.2, j in increasing order.\nAnswer: j, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 359 (b) -0.3 (c) -19 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**6\/1320 + h**5\/132 - h**4\/33 + 2*h**3\/33 + 4*h**2. Let k(i) = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((-759)\/176)*-2*15\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4350262 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6466766143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2454584525 to two dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168265)\/46100 + (-17)\/(-5))*6*(-4)\/(-510)?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 91. Let b(i) = 32*i + 1. Calculate the least common multiple of z and b(1).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 + d + 6. Let l be f(0). Suppose -2 = l*g - 14. Calculate the highest common divisor of g and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 + -1 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 + -215. Let o = 88 + d. Let l = -2 - -1.7. Which is the closest to o? (a) 1 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100229.\nAnswer: 73, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4567? (a) 0.2 (b) 1\/9 (c) 5 (d) 3.4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/52 + 287\/(-91). Put 1, q, 45 in decreasing order.\nAnswer: 45, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49559465993 and 2.27.\nAnswer: -49559465990.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3986319 (base 12) to base 15\nAnswer: eea1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 121564.\nAnswer: 121564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 22119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141595 is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915*k + 8*k**3 + 621*k + 3 + 0 + 294*k + 1.\nAnswer: 8*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 5:33 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256233 + 1.\nAnswer: -256232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:39 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 517884, 517893, 517902, 517911, 517920?\n\"Answer: 9*z + 517875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*k = -44 - 127 + 7. Determine t, given that 2\/5*t**k + t - 2*t**3 + 2\/5 + t**5 - 4\/5*t**2 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.054 + 0.354. Which is the closest to -0.15? (a) 0.2 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 7. Let k = 12.55 + -12.65. What is the nearest to k in 0, q, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -14, -9, -4, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594 (base 11) to base 9.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -3*n - 965, -2*g = 2. Let w = n + 943. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001111 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 1. Let u(j) be the first derivative of -j**4\/4 + 3*j**2\/2 + 3*j + 6. Calculate -3*m(q) - u(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4 - 12*d**3 + 16*d**2 + 12*d - 18 = 0. What is d?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 6780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 7, -1\/14.\nAnswer: -0.4, -1\/14, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seusususxusu. What is prob of sequence eu?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Let c(t) = 34*t**3 + 1. Let b be c(1). Suppose -5*u = -3*u + f*g + 7, -5*g = -5*u + b. What is the remainder when 10 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 2. Suppose 0 = -21*l + 43 + 20. Let t(j) = j**3 + 4*j**2 - 3. What is l*f(o) - 2*t(o)?\nAnswer: -2*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*r + 21 = 0, -46*r + 45*r - 9 = c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 152 = -9*p. Let q = -38 - -52. Calculate the remainder when p is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2*i**5\/15 - i**4\/6 - 2*i**3\/3 + 5*i**2\/3 - 4*i\/3 - 12. Determine w, given that k(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 7:02 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -544703\/592 + -135\/296. Let z = f - -920. Let w = -10653\/182 - -786\/13. Calculate the common denominator of w and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.528 and 67313 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513882 is divided by 256860?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 9*k = -16*k. Suppose 0 = 6*j - 3*j - 15. Solve -7 + 1 = u - 3*a, k = -j*a + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1608 - 963. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4 + 44239784*c**3 + 44239780*c**2 - 44239784*c - 44239782 = 0 for c.\nAnswer: -22119891, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14*3*5\/(-90)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 6*k. Let d = 3 - -3. Let w be q(d). Let z be ((-6)\/(-4))\/(3\/28). Solve p - 5*n + z = w, n - 2 + 1 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, x: 1, z: 1, t: 2, p: 2, m: 4}. Give prob of picking 1 d and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246926, 246890, 246854?\nAnswer: 246818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 122643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**3\/x)\/x)\/x**(-4))\/(x*(x*x\/((x**1\/x*x)\/x)*x*x)\/x)**(-27) assuming x is positive.\nAnswer: x**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**3 + 872434*o**2 - 581620*o.\nAnswer: -2*o*(o - 145405)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**3 + 57*t**2 - 42*t - 16. Let i be b(8). Calculate the highest common factor of 496 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011110110100010110 (base 2) to base 7\nAnswer: -10520552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*v - 632 = -213*v + 3388 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -919110.265 - -0.1?\nAnswer: -919110.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1957 - -634. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482797723 rounded to the nearest 10000?\nAnswer: 1482800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1502 * -1191.\nAnswer: -1788882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 13*k**2 - 13*k + 39. Suppose -24 = -2*w + 4*q, 3*q - 21 = -5*w - 0*w. Is s(w) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -37 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5247634.369 rounded to the nearest ten thousand?\nAnswer: -5250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(12) - sqrt(36)\/sqrt(3)) + sqrt(12) - sqrt(12))*-4)\/(sqrt(324)*2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgjg when four letters picked without replacement from ggggjgggggjgg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - 9*c + 41*c - 5*c - 4 + 4 + (-c + 0*c + 3*c)*(0 - 2 + 0) in the form n + b*c and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 1894?\nAnswer: 5\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - l = 247, 2*z - 2*l - 144 = -z. Suppose 5*t + 95 = -z. Let y = t + 107. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12815562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/6, 1, 0.1, 12 in decreasing order.\nAnswer: 12, 5, 1, 1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 38*n + 43*n - 359 = 0, -2*n = 3*h - 566. Suppose -12 = 180*f - h*f. Is f <= 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8375?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1\/595052?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hdedd. Give prob of picking 3 d and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 33\/178?\nAnswer: 33\/178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 h, and 1 p when four letters picked without replacement from {m: 1, k: 2, h: 1, p: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -2\/11 (c) -3\/7 (d) -3.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 8*v**2 + 18*v - 4. Let p be s(-6). Let w be 4*(-85992)\/p - 6\/(-16). What is the highest common divisor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (5 - 3 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207051.\nAnswer: 3, 13, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*k - 18. Is k bigger than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0*r**6 + 0*r + 0*r**5 - 17\/3*r**3 + 0 + 34\/105*r**7 + 0*r**4 - 78*r**2. Differentiate b(i) wrt i.\nAnswer: 272*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*q + 12733 - 1552 = 0, -2*u - 3*q + 7459 = 0. What is the highest common factor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-7 + 1)*9*32\/(-432).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, e: 3, s: 2, z: 4, g: 3, k: 1}. What is prob of picking 2 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*q + 65*q + 27654 = 0. What are the prime factors of q?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) 82\/35 (c) -19.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/502*((-14)\/245)\/1. Let k be 333806\/21084 + (-2 - -1). Let u = k - d. Calculate the common denominator of u and 73\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31122498 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 43. Let m(z) = -z**2 + 5*z + 3. What is m(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1\/7)*q**(-5))\/((q*q**(2\/5))\/(q**(-3)\/q)) assuming q is positive.\nAnswer: q**(-299\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f. Let a = f - -20. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(88)*-3)\/(sqrt(392)*1 - sqrt(8) - sqrt(8)))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565920.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -79 - 1. Let c(d) = d**2 - 10*d + 40. Let j be c(7). Let n = j + g. Solve -3*q = q - 5*m + 5, 3 = -q + n*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 408 + 247*s + 407 + 692*s - 813 to the form h*s + y and give h.\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 0)\/((-1)\/1). Let o = -5 + 5. What is the second smallest value in 0.03, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 21*m**2 - 6*m + 7. Let d be s(-4). Let w = 159 + d. What are the prime factors of w?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 - 2553*b**2 - 2165103*b - 610162551 = 0. What is b?\nAnswer: -951, -801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - 1 - (-2808 - -2847)) + (0 - 19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.843364ml to litres.\nAnswer: 0.002843364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2073)\/(-33) - -1) + 6\/33. Let v = f + -61. What is the tens digit of 232\/v + 14\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 13*o + 21. Let y be n(10). Let z be (-2)\/y - 20\/90. Solve 0 = m - z*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 447920 or 447919?\nAnswer: 447919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.32 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103300 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 3. Let q be 5\/(5\/(-6)) + 0. Let r be m(q). Let k be 2064\/387 + (1 + -2)*5. Which is the third smallest value? (a) 5 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -15*y - 265. Let k be x(-18). Solve 4*s - 5*t + 16 = 6, k*t = 3*s + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37836099047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 less than -104.3849?\nAnswer: -104.5549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3*z**3 - 12)*(-8*z**2 + 8*z**2 + 4*z - z**2).\nAnswer: 3*z**5 - 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9482 divide 749893452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w - 6*w - 10*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*p - 493, -p - 198 = 2*u - 2*p. Let o = u + 144. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 903049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3\/15 - 20*n**2 - 199*n\/5 - 3403. What is u in r(u) = 0?\nAnswer: -199, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 - 19*o + 13. Let n be (-4)\/(-5) + (-1343)\/85. Is p(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 - 13*l + 155. What is x(-14)?\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + -173.7. Let t = 19.6 - q. What is the closest to 0 in -0.08, 3, t?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (8 - (-12 - -11 - 10))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -167 (b) 93 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0251301226875 + 2.\nAnswer: 2.0251301226875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5\/7 - 3040*o**4\/7 + 9180*o**3\/7 + 18280*o**2\/7 - 3488*o = 0.\nAnswer: -763, -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*-2*(-2)\/(-4). Suppose 82*q = 85*q - 2*s + 11, -2*s - 44 = 2*q. Sort h, q, -1, 5.\nAnswer: q, h, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*o**5*y - 16*o**5 + 286*o**3*y - o**2*y - o**2 + 19*y - 3490 wrt o?\nAnswer: 840*o**2*y - 960*o**2 + 1716*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0.04, 3262 in increasing order.\nAnswer: 0.04, 1\/6, 3262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -1.94. Let d = 1\/18 + -11\/36. Which is the closest to 1\/3? (a) p (b) -1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nineteen quarters of a tonne?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326521 and 4238.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -2 - (-19 - -10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2\/19 (c) 11 (d) -0.2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/60880 and 67\/3044.\nAnswer: 60880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 413844, 827490, 1241136?\n\"Answer: 413646*y + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**8\/6720 - a**6\/720 + a**4\/4 + 4*a. Let x(z) be the third derivative of k(z). Factor x(d).\nAnswer: d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 559 (base 12) to base 10\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -46*j - 20. Let x(t) = -t + 1. Let i(p) = -n(p) + 12*x(p). Differentiate i(v) with respect to v.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16aa + 21?\nAnswer: 16cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.5832 rounded to one decimal place?\nAnswer: -61.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-8)*5\/(-15) - -1. Let h(n) be the second derivative of 0 - f*n**4 - 1\/40*n**5 - 6*n + 0*n**2 + 0*n**3. Let h(z) = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.35 - -0.35. Let s = 19 + -22.7. Let h = r + s. Which is the closest to -2? (a) -0.1 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33\/5 of a microgram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14040)\/(-390)*899\/(-522).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 1\/24*j**4 + 18*j**2 + 0 + 1\/60*j**5 + 0*j + 3\/2*j**3. Calculate the remainder when 58 is divided by b(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 0.07, -0.4, -0.203, 0.2, 2?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 906770375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.0758216 + -134\nAnswer: -134.0758216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72784.9 and -5?\nAnswer: 363924.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5855\/6 - -971. Find the common denominator of r and -71\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 116 = -11*v + u, -3*v + 76 = 2*u. Suppose -4*n = 5*t - 5, t + 23 = -5*n + 3. Suppose -t = m - v. Calculate the remainder when m is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 19. What is m(-13)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5 times 2?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-5\/3))*v\/v**9*v)\/(v**(-1\/4)\/(v*v**(-5\/3))))**(-7\/5))**(-5\/9) assuming v is positive.\nAnswer: v**(-161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/231, 0.0271 in ascending order.\nAnswer: -5, -2\/231, 0.0271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 404532?\nAnswer: 809064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 7*q + 2. Let v be x(7). Suppose -20 = 5*k, 10 = 4*t + k - v. Suppose -2*j - 4490 = -t*a, j - 3370 = a - 4*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 58*j + 35*j - 27*j. Let l(q) be the second derivative of -q**3\/6 - 318*q. Calculate i(l(x)).\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.063 + -0.937. Let d = -0.6 + 0.1. Sort d, z, -5 in increasing order.\nAnswer: -5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*h - 3140396 = -100*h + 1434017. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - x**2 + x + 5. Let a be w(0). Suppose a*m = -25*m + 90. Solve -m*o + 30 = 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -106*f + 11. Calculate v(3).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1072)\/8)\/(1\/(-2)). Suppose -x + 2*x - w = 54, -g = -5*x + 4*w. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*q + 1 + 6 = 0, 5*w - 3*q = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in -4, -1, 2\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -22. Suppose i = -8*z + 6*z. Let b(x) be the first derivative of -x**3\/3 - 3*x**2 - 9*x + 2065. Give b(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**7\/42 + g**5\/6 + 19*g**2\/2 + 16. Let c(j) be the second derivative of f(j). Find the third derivative of c(r) wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - t**2 - 5*t + t**3 + t + 3*t**4 + 2*t + 3 to the form l*t + v*t**2 + s + d*t**3 + g*t**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/50 and -101\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -9. Let k = 32 + s. Is (148\/(-10))\/((-4)\/k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 0.4 (c) -2 (d) -11 (e) 2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 636180654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 2. Suppose k + 15 - 2 = -4*y, 2*k = -4*y - 10. Let h be d(y). Let z = h - -17. Calculate the highest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0.14. Let d = 0.0600001 - a. Round d to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14411 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + 5*t - 1 + 0 - t. Let b be r(4). Let j be (-3)\/18 + (32\/(-12))\/(-8). Sort b, -1, j in descending order.\nAnswer: b, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 10*q**2 - 10*q - 9. Suppose -4*s - 18 = 2*a + 30, 2*s = 2*a + 42. Let h = a + 13. Let l be k(h). Let y(m) = -m**3 - m + 6. Give y(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((2*sqrt(2496) - sqrt(2496))\/(sqrt(3) - (sqrt(6)*2)\/sqrt(2)))**2 + -5).\nAnswer: -4135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2. Suppose 7*p - 3*p = 60. Suppose 10*y - p*y = -25. Put y, 0.3, b in descending order.\nAnswer: y, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 10*r**2 - 15. Let i be m(8). Is i greater than or equal to -143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - 8*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -340*c**3 - 380*c**3 + 37*c**4 + c**5 + 123*c**2 - 361*c**3 + 920*c**3.\nAnswer: c**2*(c - 3)*(c - 1)*(c + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 1134 = 1806. Is c a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*q + 1208 = -3179 + 167 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8678 divided by -4339?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - (2 - 4)) + (-543 - -543)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 4:11 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116921627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63960 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111 + 65. Let k = -46.000006 - i. Round k to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*i - 18 + 15 = 0, 4*v - 4 = 3*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/3 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -241 or -2\/9?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 5, -1, -4\/5.\nAnswer: -1, -4\/5, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13187 divided by 1894\nAnswer: 13187\/1894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.10234 - 3.\nAnswer: -19.10234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2 + 1. Let l(r) = -774*r**3 + 12*r**2 + 2 + 483*r**3 + 293*r**3. What is -l(j) + 4*u(j)?\nAnswer: 2*j**3 - 8*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122 - 1102122002011?\nAnswer: -1102122012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-96)\/(-6))*120\/(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.31 - 1.71. Which is the third biggest value? (a) u (b) 13\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*c - 3*c - 0*c + 27, x + 0*c + 4*c - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose 0 = -3*q + 9, -a + 3*q + 13 + 4 = m. Suppose -b + 24 = 4*p, -2*b - 2*b - 2*p = -a. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 27 + (15 - (-5 - -18)) + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*w + 4*z + 32 = 430*w, 4*z + 38 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 45 = 4*x, 34163*v = 5*x + 34169*v + 51 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 11 = 5*j - 4, -4*n + j = -6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -24. Solve 15 = l*g - 3*g + 4*w, 2*g + 14 = 4*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981.7 rounded to the nearest 10?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 5*s - 1. Let m(g) = 9*g**2 - 3*g + 1882. Let u(d) = m(d) + r(d). Differentiate u(h) wrt h.\nAnswer: 14*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -28. Suppose -l + 3*l = i. Suppose 2*k + 4 + l = 0, k + 125 = 5*z. 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 3705367522 to the power of 1\/3, to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -16176215 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 7. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-4)\/(-4) + 4. Calculate the remainder when 17 is divided by x\/3 + (-7)\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 13*o**2 + 5*o - 2*o**2 - 5*o**2 - 5*o**2.\nAnswer: -4*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 259 - 251. Let y be (-3170)\/(-6) - (g\/(-12) - -1). What is the highest common factor of y and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 212100?\nAnswer: 636300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -2, -23, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.28 + 0.98. Let q = v + 2.1. Sort -2\/7, -4, q in decreasing order.\nAnswer: q, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 1. Let z(q) = 6*q - 3*q**2 + 2*q**2 - 1 - 5*q. What is -k(g) - z(g)?\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 169 = -3*q. Suppose -148 = -5*i - q. Suppose 0 = 8*h - 36 - 36. What is the lowest common multiple of i and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 567\/(-6)*(-14 + 6)*-24. Is g equal to -18145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130002132200 - -2?\nAnswer: -130002132143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(4\/13))\/v*v)**20\/(v**(2\/31))**(-2\/27) assuming v is positive.\nAnswer: v**(150712\/10881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 296 (c) 160 (d) 0.4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 8181056.\nAnswer: 1\/8181056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(315)*1)\/sqrt(5))\/(sqrt(9) + -3*sqrt(9)*-6).\nAnswer: -sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*z + 365 + 96 = -34 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 731938 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.26 + 4.31. Let d = -0.02 - 0.03. Let v = m + d. What is the nearest to 0 in -4\/9, v, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -31. Are 70 and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*a**4 + 68*a**2*f - 239*a*f + 8*a - 221*f - 46746 wrt a?\nAnswer: 60*a**3 + 136*a*f - 239*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 502234208 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 3*i**3 + 5*i**3)*(0 - 2*i**2 + 0) - 20*i**5 + 20*i**4 - 20*i**4.\nAnswer: -26*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 3*c + 2*c + 6*c - 3*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -5, -4\/9, 0.06, -2\/181?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/5 - 771*o**4\/5 + 7787*o**3\/5 - 17973*o**2\/5 - 7786*o\/5 + 18744\/5 = 0. Calculate o.\nAnswer: -781, -1, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10*8\/16*-2. What is the least common multiple of x*4\/(-5) + 22 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1204 + -1198. Let c(z) = z**3 - 7*z**2 + 5*z + 5. Determine c(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(130) - sqrt(130))\/sqrt(10).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1652 = 4*o - 864. What are the prime factors of o?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1005197\nAnswer: 2010394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -136*z - 13. List the prime factors of r(-6).\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and 26.963.\nAnswer: -3019.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*f - 18247 = 32*f + 24409. Solve -f*x = -175*x - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16472234 - -16472200.999974. Let b = -33 - m. Round b to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*s - 16370, -4*h + 96*s - 13081 = 97*s. Let y = -1832 - h. What are the prime factors of y?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*m + 2*m - 13*m - 5*m in the form c + n*m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1329 - 1315 - 2444 - 366*n**2 - 3*n**4 - n**3 wrt n.\nAnswer: -12*n**3 - 3*n**2 - 732*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 * -4.97\nAnswer: -15.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/((-258)\/90 + 3)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, -5\/6, 35 in ascending order.\nAnswer: -5, -5\/6, -0.4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let l be 10\/2 - g*1. Find the third derivative of s**2 + 3*s**4 + s**6 - l*s**4 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 13618*v - 368474. Give r(27).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = 0, 0*k + 1388 = 2*h + 4*k. Suppose -5*g + 987 = -h. Suppose -3*p = -4*p + g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -305.7 + 329. Let s = j + -23. Which is bigger: s or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9488 equal to -11488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82 + 142 - 65)*(6 - 2*j - 1 - 4).\nAnswer: -318*j + 159","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6) + (-34 - -44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -855\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 10*y**2 - 13*y + 24. Let o be m(11). Let w be (o\/4)\/((-5)\/10). Let c be 2*(-3)\/(6\/5). What is the closest to -2 in 2\/9, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.09 + 3.83.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6746, -13508, -20270, -27032, -33794, -40556?\nAnswer: -47318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 38, -4\/3 in ascending order.\nAnswer: -4\/3, 38, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i - i - 3*i + (-21*i - 9*i - 2*i)*((1 + 0 + 1)*(-6 - 2 + 1) - 1 + 1 + 2) to x*i + u and give x.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 1. Let v(g) = -g - 13. Let k be v(-9). What are the prime factors of s(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.34833 milliseconds?\nAnswer: 0.00434833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32332*c**3*l - 25827*c**3 with respect to l.\nAnswer: 32332*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281 (base 10) to base 5.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2071 divide 8820389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + y. Let f(k) be the first derivative of -k**4\/4 + k**3\/3 + k**2 + 2. Let d(h) = -2*f(h) + 3*o(h). Factor d(r).\nAnswer: -r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 3*p**2 + 2 - p**3 - 2 + 1 + 2. Let f be m(2). Solve -f*c - 20 = -10*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 31. Let z(f) be the first derivative of -3\/2*f**2 + 0*f**4 + 3\/5*f**5 + 3 + 0*f + v*f**3. Find the second derivative of z(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m - 43. What is t(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10110083 * 2.1\nAnswer: 21231174.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 107, -7, 3.\nAnswer: -7, -4, -2, 3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -81, -78, -75?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n + 665. Calculate l(-75).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 436 - 443.4. Is 1\/4 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 7 + 5 + 2.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-1)\/(12 - 2). What is the second biggest value in 0.3, 1, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + -22 + 19\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 25*s + 187. Suppose d - 32 = -2*n, -n + 2*d = 2*n - 62. What is the least common multiple of x(-7) and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -74 - (51 + -12)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*v - 55, 2*z - 3*v = -3*z + 20. Solve -z*p + 8*p = -5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n + 332 = 0. Let l be ((-3)\/(-2))\/(9\/708). Let s = n + l. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.999485 + -68. Round a to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 9*r**2 - 9*r + 8. Let p = 10 + -4. Let o be (-30)\/(-4) + (-3)\/p. Is d(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0785+2592923235\nAnswer: 2592923234.9215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 225\/(-20)*10*(-86)\/3225\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1539) - 3*sqrt(1539)*-5)*-6 + -1)*-5 + -1)*-2)**2*-6.\nAnswer: -8510054784 - 829440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9*(676 + -673).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/5*90\/12. List the prime factors of 3\/(c\/20) - -14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 266757977?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -290431, -290420, -290407, -290392?\n\"Answer: i**2 + 8*i - 290440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Suppose 0 = -g - t + 77. List the prime factors of g.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-2\/23)*g))\/g**(-9\/5)*g**(-10\/13)*g*(g**(-28)*g)\/g)**(-15\/7) assuming g is positive.\nAnswer: g**(116082\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**4\/2 + f**3 + f**2 - f + 80. Let w be (2\/4 - 1)*4. Is t(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (109 - 109 + 13*p)*(-38 + 29 + 47)*(0 + 0 - 1) to the form z*p + j and give z.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 462 - 579. Let m be ((-27560)\/k + (-8)\/(-18))*-3. Is m at least -708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*m**3 + 426*m**3 - 82*m**3 - 89*m**3 - 84*m**3 - 84*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 4*y - 516 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 4*d**7 - 40*d**3\/3 + 39. Find the third derivative of j(z) wrt z.\nAnswer: 3360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3005.4778 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:02 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfggggffgggggggggfg. Give prob of picking 2 g.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9100\/1400*80\/(-2210)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 9\/2*w**2 - 2*w - 26 + 2*w**3. Let r be i(-2). Is r > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.751989 * -1\nAnswer: -1.751989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*h - 70*h + 64 = 0. What is the remainder when 29 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l**2*o**3 + l**2*o**2 + 2*l*o**4 + l*o**2 + 170*o**4 + 63*o**2 wrt o.\nAnswer: 42*l**2 + 48*l*o + 4080*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 + 3. Let b = 0.1315 - 1.1315. What is the nearest to b in i, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 121*h + 6. Let p(u) = 241*u + 12. Determine 7*a(q) - 4*p(q).\nAnswer: -117*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 11817 = 3*k, -51*k - 3*s - 15777 = -55*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2918 and -37\/7.\nAnswer: 20426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270.8666 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-858)\/4914*-27)\/(((-1)\/(-6))\/(77\/22)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.9 + 51.4. Round m to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1235 - -2649. Factor -1424*f + q*f + 15*f**4 + 1 + 10*f**3 - 15*f**2 - 1.\nAnswer: 5*f*(f - 1)*(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341164868?\nAnswer: 2, 11, 163, 47569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1770, 2283, 3122, 4281, 5754?\nAnswer: 7535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -807, -3317, -7637, -13869, -22115, -32477, -45057?\nAnswer: -59957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2937139*o**5 - 2498620*o?\nAnswer: 58742780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, q: 11}. What is prob of sequence qq?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1260207180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8212.4 - 105.2.\nAnswer: -8317.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/782 + ((-1004)\/92 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.96 + 7.96. Let d be (-7)\/(-7) + (7\/(-4) - -1). What is the closest to -2\/3 in v, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -5. Let f be 14\/4*16\/28. Calculate the remainder when f\/3 + (-116)\/(-6) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658979533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Suppose -t + 0*t = a. Solve -4*l = -3*r + 2, t = -4*r - 5*l + l - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0298 - -0.672956?\nAnswer: 0.643156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3d (base 16) to base 6\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 730 = 2186\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3533 - -123321?\nAnswer: 127054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4*j + 24*j + 31*j.\nAnswer: 51*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*d**5 - 10*d**5 + 19*d**4 - 7*d**5 - 620*d - 8*d**4 wrt d?\nAnswer: -340*d**3 + 132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/6)\/(55\/30)*-10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 9:04 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(11 + 2 + 35)*(3 - v + 0*v - 1).\nAnswer: -48*v + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 + 4 + 2*l**3 + 0*l**4 + 2*l**4 + 4*l + 0 as z*l**3 + t*l**4 + n*l + w + a*l**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 10 = 2*s, -s = w - 2*w - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 3. Let u be x(-3). Let g(d) = d**2 + 6*d + 2. Let p be g(u). Solve -5*r - 22 = -p*z, -5*z - 4*r = 12 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -13. Suppose p + 3 = b. Solve -2 + b = 2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11231 is divided by 116.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3158 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 - 58880*f**4*i + 240759*f*i wrt f?\nAnswer: 40*f**3 - 706560*f**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -84*n + 86*n - 6, -3 = -n - 2*o. Factor 3\/8*k**2 - 1\/4*k + 0 - 1\/8*k**n.\nAnswer: -k*(k - 2)*(k - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19521910.71 to the nearest 1000.\nAnswer: 19522000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/4))**27*l*l**(-9)*l*l**(1\/2))**(-13\/2) assuming l is positive.\nAnswer: l**(689\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 21138\/585) + (-1)\/(-120)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*f - r - 128, 92 = 2*f + 3*r. Let v = f + -25. Calculate the highest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1547174 is divided by 5916.\nAnswer: 3098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 204. Let s = -116 + n. What is the highest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86717136 to the power of 1\/3, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 95*x**2 - 278*x**2 + 86*x**2 + 95*x**2 + 24*x. Let u(i) = i. Calculate u(r(m)).\nAnswer: -2*m**2 + 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(3\/4) + 7. Factor k - 2*k + 2*k**z - 2*k - 4 - 3*k.\nAnswer: 2*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 16 = 22*y. Let j be (y\/(-8) - 2\/8)\/(-1). Solve -x - 11 + 7 = j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*(4 + 132\/21). Let y = -8 + 16. What is the greatest common divisor of n and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2676476013?\nAnswer: 3, 853, 1045907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -48\/525809 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -513304 divided by -6.\nAnswer: 256652\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**2 - 12. Let u = 10 + 3. Let c(h) = -h**2 + 15*h - 19. Let w be c(u). Is y(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9680 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1539*s = 20068 + 28169 + 16401 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -47*v**2 - 15*v - 37. Let o(s) = -31*s**2 - 13*s - 36. Let c(w) = 2*h(w) - 3*o(w). What is c(13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*1 - (1 - -1). Suppose 145015 = -5*z - 3*i, -d*i = -3*z - 0*i - 86990. Round z to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 - 3*v**4 + v**4 + (4 - 4 - 2*v**3)*(-4*v + v + v).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 65967?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37223253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 6*d**2 + 109*d + 7. Let s(f) = 2*f**3 - 14*f**2 - 221*f - 17. What is 3*s(m) + 7*x(m)?\nAnswer: -m**3 + 100*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16*-367598\nAnswer: -5881568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4702?\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*c**4 - 851666*c**3 - 64830*c**2 + 3*c - 32 wrt c?\nAnswer: -384*c - 5109996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**5\/8 - 5*v**4\/8 - v**3\/2 + 17*v. Let u(k) be the second derivative of x(k). Let w(g) = -7*g - 7. Give -6*u(y) + 13*w(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5*w + 2*w - w + 8 as t*w + n and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1522 + 1815?\nAnswer: 3437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/2))**(-3))**(6\/11)*(z**(2\/5)*z)**(-38)\/(z\/z**(-2\/7))**(2\/5) assuming z is positive.\nAnswer: z**(-4325\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(264)*2)\/sqrt(11))\/(sqrt(48)\/(3*sqrt(4))))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-4 + -10 + 28).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1720 and 2360485.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0809 * -1.2\nAnswer: -0.09708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880*n**2 + 3 - 641*n**2 - 577*n**2 - 8 + 5.\nAnswer: -338*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25939302?\nAnswer: 2, 3, 4323217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-810)*10*-3 - 314\/66\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 - -181. Calculate the highest common divisor of w and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 1. Let k(u) = -4*u + 30. Let i(v) = k(v) - 3*n(v). Let r be i(16). Solve r*w - 22 = -3*q + 6*w, -w + 1 = 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15311 - 24724 = -15*p. List the prime factors of p.\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x + 17. Let j(d) = 2*d + 3. Let o(g) = -34*j(g) + 6*p(g). Let r(h) = -3 + 2*h + 5 - 2. Determine r(o(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5 (c) -10\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s + 15. Let b be z(5). Let u be (12\/(-6))\/10 + (-156)\/(-30). Solve -3*a + a = b, g - u = -a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (103 - 3 - (242 + -227)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6835169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 - (-10 + -4))\/((-1)\/(-5)). Suppose -z = 7 - 24. Solve 0 = -3*x + r*a - z, -4*a + 29 = 4*x + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13255040.5 rounded to the nearest one thousand?\nAnswer: -13255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118 + 184*g + 205 + 437*g.\nAnswer: 621*g - 913","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 15 + 15)*(3011*j - 3011*j - 62*j**2) + (-3*j**3 - 2*j**3 + 3*j**3)*(-6 + 3 + 4).\nAnswer: -64*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*z**3 - 71*z**3 + 60*z**3 + z + 8*z**2 - z to the form l + m*z + s*z**3 + w*z**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 less than -26?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**4*d*d**8*d*(d**1)**(-10\/7))\/(d\/d**(-2\/7)*d**(-6)*d)**(-6\/5) assuming d is positive.\nAnswer: d**(319\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - 2*h + 3. Let w(m) = 6*m**2 + 52*m + 52*m + 46*m - 204*m + 8 + 49*m. Suppose 32 = -0*l + 4*l. Calculate l*a(p) - 3*w(p).\nAnswer: -2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187528061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-14) + 3 + (-6)\/(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 46\/(-20))*(-56)\/(-49). Which is the closest to 17? (a) 4 (b) 0.3 (c) y (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*r + 60 = 7, 0 = 3*x - r - 60. Suppose 0 = x*n - 5*n - 196. Suppose 3*v - 102 = -39. What is the greatest common factor of n and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(637)*-1)**2 - (sqrt(65) + (sqrt(65) + sqrt(65)*-4)*3 + sqrt(65))\/sqrt(5).\nAnswer: 7*sqrt(13) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - o + 2 = 0, 46*s - 50*s + 3*o = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 4*a - 13, -20*w + 25 = -23*w - 4*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 - k**3 + 5*k**2\/2 + 3*k. Let w be h(-6). Calculate the greatest common factor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -4)*3\/(-3)*-2. Suppose -11 - 1 = 4*y. Sort y, d, 4 in increasing order.\nAnswer: d, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57\/31 + -1055\/186. What is the common denominator of p and -59\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24742\/5 + 4932. Let i = x + 16. Which is the second biggest value? (a) -1\/2 (b) i (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2788367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -25*b. Let y be t(-2). Suppose 281*q - 165 - 653 = 587. Solve q*l = -y + 40 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922747160.\nAnswer: 2, 5, 19, 1214141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(16) + sqrt(16) + (sqrt(16) - sqrt(64))) - sqrt(48)\/(sqrt(3)*-2))*1)\/(-3*(sqrt(648) + sqrt(648)*2 + sqrt(648) + sqrt(648))*-4).\nAnswer: -sqrt(2)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-2))\/3)\/(13\/26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34953578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 + 356*u - 3263. Calculate f(8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -39740 at least 0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3425 = 7*k - 13606. Suppose 4*n = -3*g + 1457, 5*g - n - k = -3*n. What are the prime factors of g?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*l - 464 - 232 - 492 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*-4*sqrt(104)*5)\/(6*-2*(sqrt(288)*2 + sqrt(288))).\nAnswer: 5*sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 1222033?\nAnswer: -1222038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 12. Let a(z) = -z - 1. Let l(i) = -i**2 - i + 13. Let y(t) = -5*a(t) - l(t). Let s be y(c). Is s at most -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85998508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + -9 + (6 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 933, 1890, 2857, 3834, 4821, 5818, 6825?\n\"Answer: 5*o**2 + 942*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 32*k**3 + 9*k**2 - 9. Suppose w = -3*w + 8. Let h(q) = -5*q + 8*q**3 - 102*q**2 + 104*q**2 + 5*q + 82 - 84. Calculate w*p(t) - 9*h(t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8625889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - 118546?\nAnswer: -118606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31, -33, -35, -37?\n\"Answer: -2*g - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 487*l - 3792. Let k be v(8). What is the highest common factor of k and 25792?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -33. Let t be 2 + -3*(-2)\/g. Suppose -135 = -t*a - 3. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26494 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53)\/((-689)\/(-39)))\/(2\/(1*-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -10 (c) -1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*q)*(2*q - 2*q - q) - 2*q**2 + q - q - q - 2*q**2 + q)*(4*q + 0*q + 0*q).\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-2\/23)\/(g*(g*g\/(g**0\/g))\/g)**(-2\/9)*(g**(-1))**(-1\/5)\/(g**1)**(1\/43) assuming g is positive.\nAnswer: g**(9932\/14835)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244134487 to the power of 1\/2, to the nearest integer?\nAnswer: 35272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34060 and 910?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1492 + 22205*p - 1488 + 4466 - 1486 in the form m*p + q and give m.\nAnswer: 22205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/2 - (-3)\/(-6). Let v = f + 49. Suppose 4*j = 5*r + 36, 2*j = -0*r + 3*r + v. Which is bigger: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12632366 + -861?\nAnswer: -12633227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 877 = 22*r + 85. Calculate the lowest common multiple of 7 and r.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 78. Which is greater: q or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m**2 + 40*m - 76. Determine i(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.056 - -40.056. Let r = -39.0648596 - 0.9346704. Let m = l + r. Round m to five dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5400*t - 3464 - 331 = -5229*t + 4413 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87 - (281 + -87 - 49).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2. Let u(l) be the second derivative of 2*l + 0*l**2 + 0*l**3 + 0 + 1\/3*l**4. Give j(u(o)).\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (1 + sqrt(76))**2 + -4 + sqrt(76) + (-5*(-1 + sqrt(76)) - sqrt(76))**2 + sqrt(76))*-1.\nAnswer: -2834 + 110*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8627*l**2 + 0*l + 8*l - 8*l.\nAnswer: -8627*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + s**2 - 6. Let j be (-1 - 0) + (-1)\/(-1). Let o be l(j). Let w(i) = -2*i - 9. What is the units digit of w(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*t*u + a**2*t - 126887*a**2*u**3 + 6*a**2*u - 50301*a*u - 627*t*u**2 - 2*t*u - t - u wrt u.\nAnswer: -761322*a**2*u - 1254*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 10696 in decreasing order.\nAnswer: 10696, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 23*n - 61. Give b(16).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1068727 times 3?\nAnswer: -0.3206181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 0.2, 77, -34, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 34*d**2 - 4*d + 132. Let k be p(34). Sort 4, -3, -21, k.\nAnswer: -21, k, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2423172 + 16*t**2 - 2423172 + 5*t**3 + 23*t**2 - 39*t**2.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**3\/9 + 11*i**2\/3 + 31*i\/9 - 4\/3.\nAnswer: -(i - 4)*(i + 1)*(10*i - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*d + 115*d + 75*d + 183*d.\nAnswer: 663*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/25 or -154?\nAnswer: 28\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 281*i**2 - 355*i + 12. What is the units digit of g(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 44 = -48. Suppose -l*m - 2*m = -752. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*v + 154*v + 6 = 0. Sort v, -5, -4, -2 in increasing order.\nAnswer: v, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2 + 192096*o - 768432 = 0. What is o?\nAnswer: -64036, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by -3\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61691*a**4 + 2918*a + 4.\nAnswer: 740292*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-6)*102\/(-85). Let h(k) = 9*k**2 + 2*k + 2. Let i be h(-2). Suppose -8 = -30*b + i*b. What is the closest to 0.2 in q, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.1 (c) 140 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26 + 9 - 1)*(-4 + 4 - q) + (2*q - 3*q + 2*q)*(-4 + 0 + 3) - q + q + 2*q + (238 - 165 - 152)*(2*q + 1 - 1) to j*q + l and give j.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 137939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 705*-0.3\nAnswer: -211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-3))\/(3\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936842253 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 3*u + u)*(-4 + u + 4) - 6 + 6 - 28*u**2 + 2*u**2 + 2 - u**2 + 0*u**2 + (u + u + 0*u)*(0 - u + 0).\nAnswer: -31*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/18)\/q*q\/(q\/(q\/(q*q\/q**12*q))*q) assuming q is positive.\nAnswer: q**(145\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -5, 1\/4, -0.2 in increasing order.\nAnswer: -5, -0.2, 0, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 19*u + 16. Put 3, u, 7 in decreasing order.\nAnswer: 7, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 152852*h**2. Let j(v) = -41*v + 3. Determine j(l(i)).\nAnswer: -6266932*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -0.5, 4, 0.22 in decreasing order.\nAnswer: 4, 0.22, 0, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -38253, 4, -3, 1, 0, -5 in descending order.\nAnswer: 4, 1, 0, -3, -4, -5, -38253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 523, 279, 39, -197?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.2 - 42. Let d = h + 0.6. Let y = -11\/56 + -3\/8. What is the closest to -3 in y, d, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -30. Let l = h - 23.027. What is l rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssvsss. Give prob of picking 2 s and 1 v.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (98 + -107)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 7*s + 1. Let x be d(-3). Suppose 149 = -x*w + 3796. What are the prime factors of w?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 13333*y**3 - 13493*y**3 + 108*y**2 - y**6 + 59*y**2 wrt y?\nAnswer: -120*y**3 - 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1527 = -42*m + 376 - 559 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soujshohssuf. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00069499321 to 7 decimal places.\nAnswer: 0.000695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7477 - -2594521\/347. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5323240132?\nAnswer: 2, 7, 4099, 46381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 623, 625, 627, 629, 631, 633?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - 2 + 8 + 43 + 2*i + 31.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17789 - 4410 - 4454 - 4449 - 4476 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 10:43 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c3da4b (base 15) to base 14.\nAnswer: -13450cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*8*(-14)\/(-224)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s**2 - 1. Let h(p) = 3*p**3 - 5*p**2 + p - 31. Let t(j) = -h(j) + 4*r(j). Is 11 a factor of t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -907 - 803 = -2*k. Factor -576 - 57*q**2 + 827*q + k*q + 3*q**3 - 1346*q.\nAnswer: 3*(q - 8)**2*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26195, -55696, -85199, -114704, -144211?\n\"Answer: -c**2 - 29498*c + 3304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(240\/(-25))*((-126)\/(-60))\/(-7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/945 - -2339\/1890. Let m = 24042 + -528829\/22. What is the common denominator of d and m?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -708599 - 0.09808.\nAnswer: -708599.09808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-56925)\/616)\/(-15)*8\/6 and 77\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46243*m**2 + 81419*m wrt m?\nAnswer: 92486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-27))\/(7\/42). Let s be (-22)\/12 + 18\/12. What is the second smallest value in r, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -2.02386\nAnswer: -0.1416702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/559 and 23\/11?\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*q - 2 + 0 = 0, 5*r + 5*q = -5. Suppose -3*y + 3*w = -w - 68, 4*w = -r*y + 32. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -2952 (c) 5 (d) -0.5 (e) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 7:54 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/4, 143, -4 in ascending order.\nAnswer: -4, 1\/4, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 27*o - 2. Let s(r) = 16*r. What is d(s(q))?\nAnswer: 432*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 - -212. What is the tens digit of 907\/3 + 58\/q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, -641, -650, -661?\nAnswer: -674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36\/7 + -187\/35. Let x = -208 - -213. Which is the third biggest value? (a) x (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*d*v - 24*b**2*d**2*v - b**2*d**2 + 2*b*d**2*v - 3*b*d*v + b*d - 93*d**2*v wrt b.\nAnswer: -12*b*d*v - 48*d**2*v - 2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1437715*a*j - 2787064*a wrt j.\nAnswer: 1437715*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 57*l - 32 - 56*l + 19 + 11. Let w(f) = -5*f + 11. Suppose 3*h + 4 = -29. Let t(v) = h*n(v) - 2*w(v). Let q(g) = -g - 4. What is q(t(i))?\nAnswer: i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 47 - -2 - 2*1. Let j(s) = -s**3 - 5*s**2 + 2*s - 10. Let r be j(-5). Let a = w + r. 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(g) = 2*g**2 - 6*g. Let x be a(5). Suppose -x = -0*u - 5*u. Calculate the remainder when u is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 8*m + 305. Let y = m - 33. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 10. Let t = -10 + s. Let p = t - -2. Is 4\/3 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 117052, 117040, 117028, 117016?\n\"Answer: -12*a + 117064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 + (31 - -73) + 26.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -41. Suppose h - 209 = -2*c + 731, -q = -3*h. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62483?\nAnswer: 62483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -1\/116, -3114.\nAnswer: -3114, -1\/116, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -1\/11, 3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/171627 and -47\/228836.\nAnswer: 686508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**2 + q**5 - 7*q**2 + (q**4 + q**4 - q**4)*(-3*q + 0*q + 2*q) + 0*q**2 + 0*q**2 - q**5 + 4*q + 2*q**5 - 4*q + 367 + q - 367 - 16*q**5.\nAnswer: -15*q**5 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 5}. Give prob of picking 2 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x - 75 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 1\/3 (b) -2\/11 (c) -1\/419\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -881550 - 2.76918?\nAnswer: -881552.76918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1298374l to millilitres.\nAnswer: 129.8374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.98987 - -451.\nAnswer: 455.98987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -7*c**5\/10 + 5*c**3\/3 + 14*c. What is the second derivative of x(z) wrt z?\nAnswer: -84*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 3592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2. Let j(y) = 1154*y**2. Calculate v(j(c)).\nAnswer: 3995148*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -282406959*a*m**3 - a*m + a + 3061795*m + 1 wrt m.\nAnswer: -1694441754*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/(-84) - (-30)\/8. Which is the closest to g? (a) -0.5 (b) 2 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*s - 21*s - 46*s - 6*s**3 + 0*s as u + d*s**2 + b*s + h*s**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 193 and 0.3?\nAnswer: 57.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -23, 2, 0.4, 1669 in increasing order.\nAnswer: -23, -5, -4, 0.4, 2, 1669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 1666 (c) -3\/7 (d) 17425\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1617 divided by -77.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 8:27 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 5:43 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = -5*n + 2923980, 0 = -4*u - n + 2923996. What is u rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*u - 27 = -24, 0 = -3*b - 5*u + 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 408*k - 7677 = 67*k - 32949 for k.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 5*i - 6*i - 5 + 14*i in the form s + q*i and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*y + 2*m - 43 + 71, 4*y - m = -2 - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxsxxxxxsxxxxsxx. What is prob of picking 3 s?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.5 - 167.5. Let h = -153.42 - b. Round h to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 236450058 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b - 22*b + (-b - 5*b + 7*b)*(1 - 2 + 3) - 3*b + 7*b - 3*b - b + 3*b - 4*b.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -34142300 divided by -8535575\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -5230620?\nAnswer: -5230620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0052 and -0.02052?\nAnswer: 0.01532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*a - 22419 = -4580 + 4145 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - 0. Let z(n) = -n**3 - 6*n**2 + 10*n - 8. What is the units digit of z(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 9*u - 4. Give y(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3699.864 nanoseconds?\nAnswer: 0.0000000616644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-231)\/22 + 10)\/(2\/80).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -513 + 510. Which is the closest to g? (a) -8 (b) -0.4 (c) 3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Suppose -13 = 4*f - x*t + 5*t, -3*f - 5*t = 16. Solve 4*k + 5*i - 10 = 0, -f*i + 2 = k - 2*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 1 + 2 + -6 + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 189.81787 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.2 - 0.06.\nAnswer: 13.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 less than -199352428?\nAnswer: -199352400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -35*a**5 + 30*a**4 + 40*a**3 - 30*a**2 - 5*a = 0?\nAnswer: -1, -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(11\/3)\/(h**(-2))**(-2\/43)*((h\/((h*h*h**(-1\/6))\/h))\/((h*h**(1\/3)\/h)\/h))\/(h**(-9)*h*h*h**(-5)*h) assuming h is positive.\nAnswer: h**(2083\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31 and 73?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23701756, -23701765, -23701774, -23701783?\n\"Answer: -9*b - 23701747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by -74?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 12*w**2 - w - 6. Let q be m(-12). Let o(k) = -88*k + 41*k + 40*k - q. Determine o(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1 = -11. What is the remainder when g is divided by (6\/8)\/(3 - 21\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aourooauspprrurpp. Give prob of sequence saa.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98*360\/(-13230)*9\/(-5).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2021112022 (base 5) to base 11\nAnswer: 2338a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.028 - -0.148. Let p = -1.32 + 1.1. Let q = l + p. Is q at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 0.2. Suppose 5*j - 83 = -3*b, -3*b + 2*j - 29 = -4*b. Let w = -22 + b. What is the nearest to w in q, 0, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/64 and 71\/49664.\nAnswer: 49664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 13 - 3*g**2 + 3)*(0*g**2 + 0*g**2 + g**3)*(5 - 4 + 2)*(-4 + 6 + 4).\nAnswer: -54*g**5 - 504*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/8*v**2 - 2*v.\nAnswer: v*(v - 16)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2025 by 9.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2590*w - 39*w**2 + 2590*w)*(5*w**2 - 5*w**2 + 3*w**2) + 3 + w**4 + 0*w**4 - 1 in the form x*w**3 + z*w + b*w**2 + f*w**4 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5896 in 2\/19, 4, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 17*y**2 - y + 2. Let d(f) = -48*f**2 + 1. What is -d(z) + 2*v(z)?\nAnswer: 82*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((64\/20)\/4)\/((-10)\/(-1550)). What is the second derivative of 54*l - b*l**3 - 16768*l**2 + 16768*l**2 wrt l?\nAnswer: -744*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:23 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -247 and 41999.\nAnswer: -10373753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*o + 4146 + 30198 = -5672 for o.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - 1*sqrt(102))*-1)\/((sqrt(12)*3)\/sqrt(2)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(117) + 0)*-6)**2 + -3 + sqrt(117)*2)*4*-1.\nAnswer: -33672 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606 divided by 2.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 900797*r**2 + 900827*r**2 - 1801621*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + k + (4 - 3 + 0)*(k + 0*k + 0*k) + 1 + 2*k - 1 - 2 - 29*k + 25*k - 24*k.\nAnswer: -24*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.027 - 0.027. Which is the nearest to 1\/4? (a) -1 (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*w = 9. Suppose -102 = -10*k + 4*k. Suppose 7*p - 4 - k = 0. What is the remainder when w is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c + 5. Suppose -2*p + 3*p = 5. Suppose -3*w + 13 = -5*o - 2, p*o = -5*w - 55. Let z(u) = 11 + 19 - 43 + 14 - 2*u + 3*u. What is o*z(q) + y(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(720) + -1 + (sqrt(720)*-1 - sqrt(720))))**2.\nAnswer: 600*sqrt(5) + 18025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*k - 61*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/9, -0.1, -3\/8, 8 in descending order.\nAnswer: 8, -0.1, -2\/9, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -19*l**2. Let h(k) be the third derivative of k**4\/12 + 9*k**2. What is g(h(f))?\nAnswer: -76*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77252 divided by 19313.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -479 rounded to the nearest ten?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4618313405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -52?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9372, -1, 4, 1, -5 in descending order.\nAnswer: 9372, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 53*y**2 - 2787*y + 18096. Give o(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*r - 3*r. Suppose r = -6*v + 505 + 839. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*1*(-3188)\/(-3985).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (0 - (4 + 1 - -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1424 by 30258.\nAnswer: 712\/15129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(612) - (sqrt(17) - -5*(3 + sqrt(17)))) + (0 + sqrt(1700) + -1 + sqrt(1700))*5 + -1.\nAnswer: -21 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66714027 to the nearest integer?\nAnswer: 8168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 9. Let r(g) = -7*g - 55. Let u(b) = -39*p(b) + 6*r(b). Let l be u(9). Let q(a) = -a**2 - 5*a + 7. Let f be q(l). Is f != 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -23*v**4 + 4*v**2 - 3*v - 68. Let k(f) = 4*f**4 - f**2 + f. Let u(d) = -4*k(d) - t(d). What is the second derivative of u(p) wrt p?\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 - 1556094*o**3 + 1210714268418*o**2.\nAnswer: o**2*(o - 1556094)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -150420000 rounded to the nearest 1000000?\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8*170\/119?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.4. Let i = -3.1 + l. Let h = i + 2.9. What is the closest to 1 in 2\/11, 4, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000000110010 (base 2) to base 5\nAnswer: 113041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/((-147)\/14))\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*l - 5 = 0, 2*b = l + 4 + 6. Let m be ((-8)\/10)\/((-2)\/5). Suppose -i - m = -b*i. Put 5, 4, i in descending order.\nAnswer: 5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 15) + -6 + 11. What is the nearest to 1 in j, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-27)\/270)\/(1\/(-6) - 0). Let j = 0.1418 + -0.1818. Which is the third smallest value? (a) k (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 30 = -110 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 239326526?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33163 is divided by 6575.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -x + 3*i, x - 12*i - 1 = -11*i. Suppose -r - x = -6. Solve 4*y + 24 = 3*m, 3*m - m - r*y = 23 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/7 >= -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6 + 0.6. Let k = 74.5 - 74.8. What is the second biggest value in k, -1\/2, y, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (8 + -2)\/(-1). Suppose -29 = 4*d - m*a - 9, -2*d = -5*a + 22. Let v be (d*(0 + 2))\/(3\/(-21)). What is the highest common factor of 28 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2634 is divided by 132.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -7.9. Let f = -7 - w. Let x = 19 - 96\/5. Which is the nearest to f? (a) 0.1 (b) x (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546.9 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 q when four letters picked without replacement from {q: 5, o: 6, d: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*a*g**3 - 2*a + 270*g**3 wrt a.\nAnswer: 21*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119262 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2424919 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114553.\nAnswer: 114553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183 - 177. What is the lowest common multiple of d and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*a - 24*a + 840 = -0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2*g**2 + 30*g - 30*g)*(-14 - 29*g**3 + 14).\nAnswer: 58*g**5 - 290*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -575?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*b**2 + 3*b**4 - 2*b**3 + 23*b**2)*(7 + 82*b - 153*b + 77*b)*(5 - 9 - 5).\nAnswer: -162*b**5 - 81*b**4 + 126*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 3*a. Suppose s = -3*h + 1, 0 = 5*h - 5*s - 6 - 9. Let l be h\/(1 - 4\/6). What is v(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 9*r**2 - 2*r + 1. Let h be i(1). Let u = h - 14. Let f be ((-1)\/(-3))\/(1\/u). Which is the nearest to f? (a) -1 (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 997\/14 - 143\/2. Let l = 2349\/14 + -167. Let i = l + j. Put 2\/7, 0, i in decreasing order.\nAnswer: i, 2\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12206 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/19)\/(t\/t**(-26)))\/(t**12*t)**17 assuming t is positive.\nAnswer: t**(-4711\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5799428.\nAnswer: 2, 947, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 53681089, 3, -0.5, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(242) + 0 + -1 + 5*((sqrt(14) - (sqrt(1694)*2 - sqrt(1694) - sqrt(1694))) + sqrt(14))\/((sqrt(189)\/sqrt(3))\/sqrt(9)).\nAnswer: 3 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 + -2. Let o = -0.3 + 1.3. Let n = -778\/17 + 4651\/102. What is the nearest to 0.1 in o, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 13*w - 8. Let l be y(8). Suppose 0 = 2*x - 5*c - 226 - 523, -2*c - 2 = 0. Let z = x - l. What is the remainder when z is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4829 (base 14) to base 12.\nAnswer: -7345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 55*y - 2*y.\nAnswer: -59*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n + 6 + n**2 + 8 - 2*n. Let p be w(-6). Let z be (0 + -4 - -4)\/p. Solve 0*t + 3*t = z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776223.1 litres in millilitres?\nAnswer: 776223100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 6308159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(3)*-3 - (sqrt(1152)\/sqrt(6) - sqrt(3)).\nAnswer: -22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 85*k + 25. Let v(j) = -7*j - 2. Let y(s) = 2*b(s) + 25*v(s). Let z(w) be the second derivative of 5*w**3 - w**2 - 16*w - 42. Calculate y(z(m)).\nAnswer: -150*m + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 times 0.881\nAnswer: -0.24668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 8 + (-8 - -8) + -72 - 3) + -10.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u\/u**(1\/3)))\/u*u))**(3\/11))**(-21\/5)\/((u**2)**43)**(-2\/95) assuming u is positive.\nAnswer: u**(1094\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-7\/4)*v)\/(v\/(v\/v**(-6))))**(1\/9) assuming v is positive.\nAnswer: v**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 2, 4451 in decreasing order.\nAnswer: 4451, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166553907?\nAnswer: 3, 13, 929, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 521*f**4 + 23*f + 11.\nAnswer: 6252*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from hhhhhoo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*s**4 + 23*s**4 - 13*s**4 + 2*s + 10*s - s**2 + s**5 wrt s?\nAnswer: 60*s**2 - 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + ((sqrt(98) + 2)*-1 + sqrt(98) - sqrt(98)) + 5*(sqrt(98) + -2))*3)**2.\nAnswer: -5544*sqrt(2) + 15203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 42*u**2 + 288*u + 160. Calculate x(-48).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 19 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 364790224 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -9431721?\nAnswer: -9431726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*8918\nAnswer: -1426.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 3*s + 27 = -7*w, -24 = 2*w + 5*s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*i**4 + 41830*i**3 - 1776772*i**2 + 3374792*i + 26896 = 0.\nAnswer: -1\/126, 2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -6*q + 9*q. Suppose -7*f + 2*f = -560. Calculate the highest common factor of f and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(16\/8 - 0). Suppose 0 = -r*m + 559 + 1421. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 3*f**3 + 0 - 6*f**3 - f**4 + 2 + 2*f**4 to the form c*f**3 + s*f**4 + d*f**2 + z*f + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-3)*(0 + 0 + 3). Suppose -21*j = -m - 10. Is -1\/169 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 5*k**2 - 13*k + 55. Give q(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.25 + -0.25. Let b = -29 + v. Let m be (-2)\/(-39)*(4 - 7). What is the closest to m in b, 2\/13, -6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -270, -272, -274, -276, -278, -280?\n\"Answer: -2*p - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*6\/(-6)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 17, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - y = -298, -4*i - 596 = y. Let l = -110 - i. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 1\/15*t**6 - t**2 + 0*t + 1\/105*t**7 + 0 + 1\/5*t**5 + 1\/3*t**4 + 1\/3*t**3. Factor d(v).\nAnswer: 2*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 17. Suppose 5*w = 2*k + 26, -5*k + w = -2*k + 26. Let i be v(k). What is the units digit of ((-4)\/(-1) - 2) + i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4 = 0, 4*g - 4 = 157*k - 152*k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/43954567 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4 + 9*t**2 - 3*t**3 + 0 + 15*t + 3 + 3 = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/135 (b) 2 (c) 28\/207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 7:56 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iki when three letters picked without replacement from zzzizzrzrrirkrzrrzzr?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from vtqyytttqvq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 171553?\nAnswer: -171546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.75 to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtddeeteddettd. Give prob of picking 3 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5746291 to the power of 1\/2, to the nearest integer?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*3 + -5)**2.\nAnswer: -150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lplqlpqypp. Give prob of sequence yq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7*f + f**4 + 17*f - 4 - f**3 - 10*f to the form v*f**2 + y + o*f + p*f**4 + k*f**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 9*l**2 + 2*l - 18. Let h be p(9). Suppose h = 7*i - 47 - 37. Calculate the common denominator of ((-61)\/(-3))\/((i\/18)\/1) and -19\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (3 - (5 + 8\/(-4))). Let u be (-1)\/d + 2\/6. Let v(r) = -r**2 - r - 10. Calculate v(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or -1\/39?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9200)\/(-100))\/184*28*(-8)\/(-1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-48)\/9 + 6 - (-4)\/(-42). What is the smallest value in 0, z, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 + 1071 = 135*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23301 + -23319. Sort w, 19, 3 in descending order.\nAnswer: 19, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -2*k**2 - 46*k - 1560. Determine j(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 31*k**3 - k**2 + 3*k. Let a(i) = 32*i**3 + 2*i. Determine -3*a(f) + 2*g(f).\nAnswer: -34*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10105234 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*y**4 + 6*y**3 - 324*y**2 wrt y.\nAnswer: -1128*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*f - 33*f - 26*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (648\/945)\/(5\/35).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3321 and 60270?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2, 6, 0.44, -1546?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34*((-26)\/17)\/13)\/(-8).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115820 divided by 20?\nAnswer: 5791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124? (a) 2\/13 (b) -5 (c) 0.2 (d) -7 (e) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1115239, -1115232, -1115223, -1115212, -1115199?\n\"Answer: m**2 + 4*m - 1115244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6433*n**3 - 22865*n**3 + 195*n**3.\nAnswer: -29103*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.18 and 2288946991913?\nAnswer: 2288946991913.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.339 * 0.2.\nAnswer: 0.0678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 19\/5, -0.2, -2.1?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -509 and 0.0806.\nAnswer: -41.0254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 32*x + 1. Let t(v) = 63*v + 2. Determine 11*d(a) - 6*t(a).\nAnswer: -26*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14551542240 + -10?\nAnswer: -14551542250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 7:05 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39568*s**5 + 97366*s**2 wrt s?\nAnswer: -2374080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -303.08 - -303. Let d be -1*(-4 + (-9)\/(-6)) + -2. Which is the third biggest value? (a) d (b) 4\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j = -5*s - 5, -4*s - 4 = 0. Suppose 54 = -2*t + 3*t + 3*f, j = -2*t - 5*f + 111. Calculate the remainder when 124 is divided by t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) -7\/22 (c) 942\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217691921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1107*y - 22096. Determine k(22).\nAnswer: 2258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 - -1))*(-18)\/72.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7*x = -5. Let n = 714 + -712. Factor 69*b + x + 4*b**n - 65*b + 0*b**2.\nAnswer: (2*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/(-39) - 6\/(-39). Factor -4*d**2 - t + 5*d**2 + 3*d + 3 + 1.\nAnswer: (d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290 + 101 = 27*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3103 (base 6) to base 2\nAnswer: 1010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -4*o - 11*o. Let b(u) be the second derivative of 1\/6*u**4 - u + 0*u**2 + o*u**3 + 0. Let x(s) = 5*s**2. Determine b(x(y)).\nAnswer: 50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 41.8. Let q = -0.24 + -2.76. Which is the third biggest value? (a) i (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246\/16 + (14 - 9\/(-360)*-575)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401 + 401.6. Which is the biggest value? (a) 3 (b) 0.002 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 15*g = -80. What is the remainder when g is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 6*g - 2*s + 1515, 0 = -2*g + 3*s + 606. Suppose g = i + 6*y - y, i = -4*y + 299. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 divided by 29085?\nAnswer: 334\/29085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6417 + 5?\nAnswer: 6424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(24) + sqrt(600) + 2*sqrt(600) + sqrt(48)\/sqrt(2)*-1)\/((3*sqrt(108) - sqrt(108) - sqrt(108))\/sqrt(9)*-6).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*q**2 + 56*q - 41*q - 29*q + 27*q**2 + 14*q.\nAnswer: 200*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 206*i**6\/3 + i**4\/4 + i**3\/3 + 96*i**2 + 364. What is the third derivative of y(u) wrt u?\nAnswer: 24720*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -984 and 2?\nAnswer: -1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let l(m) = 14*m - 6. Let q(w) = -5*j(w) + l(w). Let y(b) = -3*b. Give y(q(k)).\nAnswer: -12*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3 and -0.013217.\nAnswer: 1.286783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243714 and 203246?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 1. Let p(u) = 4*u**2 - u + 2. Let n be ((3 - 2) + 0)*(4 - 5). What is n*p(f) - 2*i(f)?\nAnswer: -4*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 24*(-8)\/(-54). Is -6 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + -2.3. Let k = -3.100012 - o. What is k rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5410, -2, -0.00675.\nAnswer: -2, -0.00675, 5410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-7))\/o*o\/(o*o**(-30\/11)) assuming o is positive.\nAnswer: o**(-36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46368 is divided by 9270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 31*f + 110. Let n be r(27). Which is the nearest to 3\/17? (a) -0.2 (b) 5\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 1:25 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 29 + 25 + 73 + 125 - 18*o to the form r + z*o and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00119599 to five decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.26 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1489\nAnswer: -744.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2 + (-6)\/(-3). Suppose 6*r - 10*r = v. Let g be -30*((-48)\/(-15))\/r. Calculate the greatest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 742*q**2 - 45903824*q - 371190.\nAnswer: 2*(q - 61865)*(371*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 7:21 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -39.843, 0.051?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -542 - -1905. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**5)\/x**9*x*x*x**(-1)*x**(-2\/3)*(x\/(x\/(x\/x**(-1\/2)))*((x*x*x*x\/(x\/(x*(x\/(x\/(x**(-1\/23)*x)))\/x)))\/x)\/x)**35 assuming x is positive.\nAnswer: x**(15085\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496565721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -19.069.\nAnswer: -3.8138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6753940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 29*y**3 - 8*y. Let o(m) = -19*m**3 + 5*m. Determine 5*b(z) + 8*o(z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7720?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36602.74281 - -1.5.\nAnswer: -36601.24281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352223?\nAnswer: 17, 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o. Let u(r) = r + 9. Let y be u(-5). Let q(s) = -5*s + y*s - 2*s + 2*s. What is n(q(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1. Let s(c) = -3*c - 3. Let y(a) = s(a) + 3*t(a). Let i(o) be the first derivative of 5*o**3\/3 - 13046. What is i(y(b))?\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2001.\nAnswer: 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/677 - -653\/2031. Factor 0 - n*j + 1\/3*j**2.\nAnswer: j*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 5*d + 3. Let o be m(-6). Let f = 8 + o. Solve -3*c = 1 + f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -4. Suppose a*b + b = -j + 34, -3*j = -3*b + 18. Suppose -5*w = -0*w - b, 4*y - 24 = 2*w. What is the highest common divisor of y and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40587 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 + 0.8. Suppose -3*w = -0*w. What is the third smallest value in w, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2052)\/180 + 72\/30\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v - 3*v - 4 + 8*v. Give t(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**5\/5 - 131*o**4\/5 + 75*o**3 + 235*o**2 - 2956*o\/5 + 1536\/5 = 0. Calculate o.\nAnswer: -3, 1, 4, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 942 divide 210940041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(1\/3))**(-21))**(-31))**42 assuming v is positive.\nAnswer: v**18228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -3 + (-3 - -3) + -6 + 10\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21086497 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2 and 61\/580?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 3*i**2 - 2*i**2 + 212*i**3 - 193*i**3 to u*i + g + b*i**3 + k*i**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 4\/(-18)*-35 - 1296\/(-216)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136202544.\nAnswer: 2, 3, 945851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 - v**2 + v - 1. Let m be w(2). Let u be -2 - (m + 2)\/1. Does 4 divide (u\/9)\/(1\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 61*s - 887. Let h be i(15). Solve 14 = n + 5*r, -h*r - 8 = 5*n - 29*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9996*j**3 + 18*j**2 + 54*j - 3 wrt j.\nAnswer: -59976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d4 + 6?\nAnswer: 4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 9. Suppose -4*b = -3*q + 2, -3*q + 2*b - 6*b = 38. Determine d(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 6*n = n - 56, 0 = -5*n for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 10*w**2 + 38*w - 12. Give h(13).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + 6 - (14 + -11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8192*h + 10 = 5*d + 8189*h, d = -2*d + 9*h + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -86*c + 7. Let i(s) = -262*s + 15. Determine 2*i(f) - 7*m(f).\nAnswer: 78*f - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 12*h**2 + h. Let v be b(-1). Suppose 5*u - 1 = -f, -4*u + 2*f + 1 = -v. Let z(j) = -36*j**2 - j + 1. Let a be z(u). Round a to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 b when four letters picked without replacement from {y: 3, b: 3, v: 5, u: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 56 = -34 - 18 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*6\/(-36))\/2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0020489 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.0082 - -0.0082. Let x = 580252817.00000336 + -580252762. Let y = x + m. What is y rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1380803690 to the power of 1\/2, to the nearest integer?\nAnswer: 37159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((51\/18)\/(-17))\/((-1)\/(-10)). What is the nearest to 1\/2 in -2\/11, l, -7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -143*a + 11596. Give h(81).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1266 divided by 6.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 75\/2 of a century?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z**2 + 234*z - 464. Let u(c) = 10*c**2 + 235*c - 470. Let v(m) = 5*p(m) - 6*u(m). Factor v(a).\nAnswer: -5*(a - 2)*(a + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {h: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/8)*r\/r**(-2))\/(r\/(r\/r**0))**(-6\/13)*((r**(2\/7))**(3\/4))**(8\/3) assuming r is positive.\nAnswer: r**(207\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 3*x**4 + 2*x**4)*(4*x + 4 - 4) - x**2 - x**5 + x**2 + (x**2 - x**2 + 2*x**4)*(0 + 0 - 2*x).\nAnswer: -17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -1808, -6203, -14842, -29159, -50588?\nAnswer: -80563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29.5 and -0.15.\nAnswer: 29.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*o + 2788, -2*o - 13*h + 10*h = -1110. Calculate the greatest common factor of 62 and o.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 2, 17, 52, 113, 206, 337, 512?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.251, -3, -126?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 13 + 7*y - 11*y.\nAnswer: 4*y - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -r + 4, 0 = -6*n + 4*r - 98 + 84 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -108*u + 470. Let d = 10 + 0. Suppose 5 = -5*h + 15. Put d, u, h, 4 in descending order.\nAnswer: d, u, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - 8*f**2 + 30*f + 130. Let z be o(-5). Solve -2*q = -b - 2, 4*b - 25 = 27*q - z*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*z**2 - 6 + 26 - 13 - 6 - z**3 as d + y*z**2 + n*z**3 + m*z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0219518367 and 15.988.\nAnswer: 15.9660481633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 42566.\nAnswer: 1\/42566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 124, 125, 126?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h + h - 4 + 4*h - 11. Let n be c(-10). Solve n*t = -17 + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1472657 - 860148. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*b + 1649, r - 2*b + 10 - 335 = 0. Let c = r - 122. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 5*b**2 - 2*b + 12. Let v be m(6). Find the third derivative of 72*x**2 - v*x**3 + 5*x**3 + 27*x**3 wrt x.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -361*n**3\/9 - 718523*n**2\/9 - 39685760*n + 39765636 = 0 for n.\nAnswer: -18918\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 + 4*q - 5. Suppose 48*d = -15 - 81. Let p be -1*(d\/(-8) - (-114)\/24). Give c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 104, -0.02, -0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 12*q + 17. Let w be p(15). Let t = 185 + w. Let h = -60 + t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93750 is divided by 46865?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/12 and 9\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6183 (base 11) to base 4.\nAnswer: 2000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -254bb4 (base 14) to base 13\nAnswer: -35b0cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14777620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 126292*m - 5058080.\nAnswer: 4*(m - 40)*(m + 31613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or 3\/13?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 107*c**2 + 5*c + 27. Let f(j) = j. What is f(p(a))?\nAnswer: 107*a**2 + 5*a + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 + 5*a + 5. Let w = 5 + 0. What is the tens digit of n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*h**2*o**3 - 88*h**2 + 5*h + 38*o**3 + 1 with respect to o.\nAnswer: -120*h**2*o**2 + 114*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35450964 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -3822.94 (c) 0.7 (d) 0.4 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112? (a) -10\/3 (b) 276 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*w**2 - 790*w**2 - 3 + 961*w**2.\nAnswer: -113*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o, -3*o + 0 = 2*r - 3. Let l(s) = 0*s + r*s - 2*s. Let d(u) = -3*u**2. Give l(d(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -114.766 - -0.1895021\nAnswer: -114.5764979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - (-49 + 75 + -29).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7472, -14943, -22414, -29885?\n\"Answer: -7471*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7249461181.\nAnswer: 17, 439, 971387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 20, -5*b + 3*q + 107 - 14 = 0. Suppose 3*p = m - 7, 3*m - p - b = -2*m. Solve 15 = -d - m*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:07 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((339 - 344)*6\/220)\/(18\/(-120))\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -880 - -878. Which is the nearest to -82? (a) 0.1 (b) -2\/19 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-241)\/(-2))\/((-6)\/(-36))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8872 + 8874. Suppose 5*l + 0*l - 5*m = 45, -5*m + 25 = 2*l. Sort q, -1, -5, l in ascending order.\nAnswer: -5, -1, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -796859 = -796855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 9, a = 2*g - 367 - 152. Suppose 21*k - g = 18*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - -4. Let q = t + -20.4. Let o = 1022\/3 + -339. Put -1, o, q, -6 in descending order.\nAnswer: o, q, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547 = 4751*h - 4619*h + 1735 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-one fifths of a century?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -352*v**2 + 77*v. Let a = -11832 - -11909. Let x(w) = -27*w**2 + 6*w. Calculate a*x(h) - 6*o(h).\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4514*w + 117513. What is g(-26)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 5636*f**2 - 1492484*f - 3150642180.\nAnswer: 4*(f - 705)*(f + 1057)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2. Let g be 12\/15 - (-6)\/5. Let p(k) = -2*k**2 - 2*k**2 + 3*k**g. Give o(p(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -0.39. Let v = w + -4.91. Let z = 4.9 + v. Which is the third smallest value? (a) z (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 12*m - 3. Suppose -7*p = -2*p + 5*l + 80, 3*p + 56 = -5*l. Let k be y(p). Is 4 a factor of -6*2\/k - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -842*b*t**5 - 3*b*t**3 - b*t + 3*b - 62*t + 5 wrt t.\nAnswer: -16840*b*t**3 - 18*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 176\/10 + 2\/(-35)*-7. Suppose -p + t = p. Calculate the remainder when 15 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8178447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 31*z + 9. Let j(b) = 31*b + 8. Let v(n) = 2*g(n) - 3*j(n). Differentiate v(w) wrt w.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/(-14))\/((-144)\/126) + -2. Which is the closest to k? (a) 3 (b) -0.3 (c) -5 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -485\/312?\nAnswer: -485\/312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 3*i**2 + i + 2. Let s be u(-3). Let q be -1 + 4 - 0 - s. What is the derivative of 2*t**4 + 4*t**2 - 2 - q*t**2 wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920 = 4*n + 6*n. Let r = n - -83. What is the units digit of r\/6 - (-890)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - r = -11, 364*u + r + 24 = 362*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*p + 738 + 163 + 2*p + 20*p as u*p + y and give y.\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*r - 27, 1114*s - 4*r + 26 = 1115*s for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b**2 - b - 347. Let p be o(0). Let m = 594 + p. What is the greatest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 4 = -2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7) - (sqrt(112) + 2)).\nAnswer: 4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 25, -0.1, 0.1.\nAnswer: -6, -0.1, 0.1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 27078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 2444.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 9*y**2 - y + 5 + 11*y**2 - 8*y**2 + 2*y**2. Let q(j) = j + 19. Let v be q(-18). Let w(t) = -t**2 - 1. Let k(x) = v*b(x) + 5*w(x). Calculate k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 694 and 0.085703.\nAnswer: 59.477882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29*-238.88.\nAnswer: 69.2752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(7\/(-6)) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-23 + 0)*(-4 - (9 - 12)). Let u be 4\/28*o + 10\/(-35). Solve u*m + 3*y + 22 = -2*y, -5*m - 30 = 5*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -303*h + 83. What is the tens digit of z(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from wcwccyccdwwcc?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 3, t: 17}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1782\/(-12))\/(-33)*25*6\/(-15).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17209.07159 + -17209. Let x = q + -0.0671. What is x rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3564 (base 8) in base 6?\nAnswer: 12500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/186*32 + (-4 - 15\/3 - 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-6)\/(-3))\/(522\/(-29))\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 73 + 0)*(-3*h**3 + 0*h + 0*h) as b*h + a*h**2 + y*h**3 + o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 52*w**2 - 18*w - 12. Let f(c) = -c**2 - 2*c - 2. Determine -6*f(r) + q(r).\nAnswer: 58*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5198*y = -235470 + 86830 - 184032 for y.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(1 - (-15)\/(-12)). Let n be (-42)\/(-9) + b\/6. Let r be 1 + -1 + 1\/n. What is the second biggest value in 4, 1\/6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2225, 2234, 2251, 2276?\nAnswer: 2309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -11523.\nAnswer: -11525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 512\/(-48))\/((-2)\/(-3)) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -53 - ((5 - ((10 + -4 - 9) + 19)) + 19)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - 0) - (-8 - -14) - 7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*h - 26 = 0, -7686*h + 11 = -3*u - 7685*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 394167 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 54993*m**2 + 9*m - 81. Let j be v(16). Let n = 20868271 - j. What is n rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2465 - 12858 - 12561 = 998*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/120 - g**5\/12 - g**3\/2 + 19*g**2. Let k(a) = 3*a - 1. Let s be k(2). What is d(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a, -4*p + 3*a = -6400 + 6389. Solve -4 = -20*f + 24*f + 2*i, -12 = f - p*i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75c (base 13) to base 10\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.4598, -4, -0.1141?\nAnswer: 3.4598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 17*z - z = -816. Suppose -2*u - 28 = 46. Let h = z + u. Calculate the lowest common multiple of h and 25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 90 = -24*u. Let d be -4 + (950\/u - 20\/(-30)). Let h = d - 74. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 1372.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 13*z + 2*z + (2*z + 2 - 2)*(-2 + 0 + 4) - 5*z + 3*z + z - 38 + 38 - 25*z)*(-2 - 2 + 2) - 7*z + z + 2*z as j + o*z and give o.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003162954 to 7 dps.\nAnswer: 0.0000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 1372*j + 156544. Calculate q(-218).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12020221 (base 3) in base 14?\nAnswer: 157a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1494*i + 25 + 2980*i + 218 - 1478*i in the form f + q*i and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 9*g**4 - 2*g**3 + 11*g**4 + g + 2*g**2 - 2 in the form h + x*g**2 + v*g**4 + u*g + y*g**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*x = 5*p - 48316, 0 = -4*p + 3*x + 38655. List the prime factors of p.\nAnswer: 3, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135250684484 + -17041683265151\/126. Let m = u - -770008. Let x = 65\/9 - m. Calculate the common denominator of 43\/5 and x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 897 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 + -11?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 8*n + 10. Solve n*w - 6 - 19 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -3*m**2\/2 + 17*m + 2. Let z(b) = 2 - 9 + b + 1. Let c(v) = -6*o(v) - 17*z(v). Let d(p) = -3*p. What is d(c(y))?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 890159 + 47872738?\nAnswer: 48762897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (4 - (8 - (-2 - 5))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35345.\nAnswer: 5, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.43473225 to 4 decimal places.\nAnswer: 1.4347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-7)\/(42\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221000 - -22010?\nAnswer: 1020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 90320 - 5776561 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 100 - 166 = 0. Let a(n) = 6539 + x*n - 6539. Let g(b) = b**2. Give g(a(s)).\nAnswer: 1444*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-4) - -5) + 670\/276. Let z = v - 4675\/552. What is the common denominator of 65\/27 and z?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*m = 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 i, and 1 b when three letters picked without replacement from bbrpibqrqqiiibbq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356759 is divided by 2146?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11638608, 11638609, 11638610, 11638611?\nAnswer: 11638612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.4? (a) 2\/19 (b) 2\/105 (c) 0.06 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6 - 6. Suppose 14*t - 10*t - 2*z = 28, 3*t = 2*z + 23. Solve 5*o - 24 = -w, o - t*w + v = -w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-1\/9)*i*i*i*(i*i**(-12)*i)\/i*(((i*i*i**(-7)\/i*i*i)\/i)\/i)\/i*i**(-1\/8) assuming i is positive.\nAnswer: i**(-1025\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4844 divided by 7.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1054205 (base 7) to base 5\nAnswer: 13144004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from {p: 1, u: 2, l: 2, y: 2, w: 3, k: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/14 and 25\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 8:11 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1158 + -646. What is the remainder when j is divided by 174?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28765 = 51*d - 85577. What is the greatest common factor of d and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 + 11*f + 22. Suppose 5*g = -22 - 3. Let a be j(g). What is a rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -894 (b) -23 (c) -2 (d) 4 (e) -3\/11 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/24*5178\/(-18986)?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45088778 + -23688778. What is u rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004313 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**6\/40 + k**5\/20 + k**4\/8 + 5*k**3\/6 - 2*k**2. Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*m**2 + 488*m**2 + 495*m**2 - 2445*m**2 + 491*m**2 + 490*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(0 + 0 - 2*v)*((-15 - 9 + 16)*(-2 + 0 + 0) + 10 - 4 + 4)*(1 - 4 + 2).\nAnswer: -208*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 times 138\nAnswer: -42.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 3\/28*a**4 + 3 + 0*a**3 - 3\/14*a**2 + 0*a. Suppose g(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152 + 152.187. What is o rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3606174 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7392 + 16858. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 1 = -11*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0. Suppose 15 = 3*u - p, 78*u - 2*p + 3 = 83*u. Let c be 2 + -2 + 5\/1. Solve 0 = c*x + 2*n - u, t = -3*x - 4*n + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*n - 10, 4*i + 0*n + 8 = -2*n. Let v be (1\/i)\/(94\/8). Let y be (-184)\/(-368)*(0 + -2 - -2). Are y and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(4\/11))\/(s*(s\/(s\/(s\/(s\/(s*s**(-2\/17)))))*s)\/s))**18)**(14\/5) assuming s is positive.\nAnswer: s**(-24444\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4142597326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2714*x + 122127. Give m(45).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 24. Let f(q) = -51*q - 3. Is 11 a factor of f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1268 - 79886\/63. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -5, 206, 7 in descending order.\nAnswer: 206, 7, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120571516 and 3.\nAnswer: 361714548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -2 - -330 - 0) + -3 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(45\/(-27))\/(11\/((-1540)\/(-50))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.56485158 to 2 decimal places.\nAnswer: 120.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -729055731749317\/4051436 + 14215913780\/79. Let r = -15\/12821 - x. Let z = r + -1689. What is the common denominator of z and 87\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 17*a**2 + 9*a - 16. Let j be q(-15). Let k = j - 467. Is 21 a factor of -1*(-3)\/(-6)*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 29.7. Let q = r + 1.4. Let g = q - -0.2. Is g at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180410788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32*(3 + (-20)\/8). Let i = 35 - x. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from rxxrxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(72) + (sqrt(72) - sqrt(72)*-2)))**2 + (0 + sqrt(72))*-5.\nAnswer: -30*sqrt(2) + 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13090.5 and 0.03.\nAnswer: -392.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 - (-1 + (2 - 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose -3*w = 4*j - 40, j + 4*w + 1 = 6*w. Suppose -6*b + 26 = j*b. Solve v*m = -b*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47716241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lj when two letters picked without replacement from jljnjyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, -211, -476, -847?\nAnswer: -1324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (6 + -28) - 3) + -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31012, 63386, 95760?\nAnswer: 128134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 4:00 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1886171.\nAnswer: 7, 59, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 8. Let q be h(-10). Is (q - (-14)\/6)*147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - 3*h - 3*h)*(-h + 4 - 4)*(45 - 16 + 49) as w*h**2 + o + k*h and give w.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3*u - 4. What is the tens digit of u\/((-2)\/(296\/(-4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 184176\nAnswer: -36835.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 339240.\nAnswer: 339240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200102212100112 - 0?\nAnswer: -200102212100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 + 4*x**3 - 6*x**2)*(-3 + 4 + 2).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 216010429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 180, 168, 142, 96, 24, -80?\n\"Answer: -s**3 - s**2 - 2*s + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**7*f**30\/f assuming f is positive.\nAnswer: f**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26364051433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1262*i - 1261*i - 418 = 0, 2*m - 2*i - 184 = 0. Solve -21*y + 64 = -m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 972073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8564136 + 82711339.\nAnswer: 74147203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 22 - 8)*(-g**3 + 0 + 0 + (2 + 0 - 3)*(g**3 + 5*g**3 - 4*g**3) + 2*g - 2*g - g**3).\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2\/3, -2, 7.8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 467\nAnswer: -2\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -447441, -5\/2, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 487 = -26. Calculate the lowest common multiple of 24 and p.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1)\/3 + 28. Suppose -5*a - 5*n = -45, 0 = -a + 5*n + h + 5. Solve 0 = 4*x + r + a, -x + 6*x = -2*r - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 16*a - 12 = 0. Suppose -3*g + 0*g - 3*i = 3, 0 = 5*g + a*i + 15. What are the prime factors of (-2 - -32)\/(g\/(-21))?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/903 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + 8 + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*1 + -2.\nAnswer: -2 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-36) - (2 + (-27)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 2 = -2*f + 2*n, -5*n - 25 = -f. Let l be f*2\/((3 + 1)\/2). Let s be l\/(-15) + (-4)\/6. Which is the second biggest value? (a) s (b) 1\/3 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:40 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14597771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/15, 40.15, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109207*c**6*f - c**2*f + 152*c**2 - 630*f wrt c.\nAnswer: 13104840*c**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -2.9?\nAnswer: -69.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 18*j = 1080. Let c be -3 + 531758\/j + -1. Let b = 7383 - c. Calculate the common denominator of b and 89\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23132221230 - 2?\nAnswer: -23132221232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*16\/30*-3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 100.3021*-0.1\nAnswer: -10.03021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 52*q**2 - 108*q + 13. Let w be o(-54). Let t(n) = -11*n + 119. What is t(w)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 2*r + 24 = 0, -r = -3*q + 3*r + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4317383 + 30517383 = 0. What is a rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 16*c - 4 + 4*c + c**2 - 2*c**2 - 7*c. Give i(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9176, -9132, -9016, -8792, -8424, -7876, -7112, -6096?\nAnswer: -4792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + sqrt(75) + sqrt(75) + 0 - sqrt(15)\/sqrt(5)*-4)**2 + (-5 + sqrt(12) + -4)**2.\nAnswer: -36*sqrt(3) + 1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3156256*j**3 + 1964322*j - 4 wrt j.\nAnswer: -18937536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*a - 46, -4*b - 5 = -3*a + 2*a. What is the remainder when 62 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.04998 rounded to two dps?\nAnswer: 43.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + 23*j - 14. Suppose 5*v - 20 = -90. List the prime factors of s(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/63185 and 25\/3513086.\nAnswer: 17565430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*f - 117*f - 4382 + 64 = 326 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4845 is divided by 1608?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 124302*y - 248592.\nAnswer: -3*(y + 2)*(y + 41432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64 + 2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/20)\/(((-35)\/(-175))\/(9\/18))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 16. What is the second derivative of -1 - 25*z + 1 + 41*z - s*z**2 wrt z?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -826f4 (base 16) in base 12?\nAnswer: -219218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5325*r - 30. Suppose 0 = -2*s - 5*a + 10*a - 37, 3*s = a - 23. Let m be j(s). Round m to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9198865507 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 25. Solve 3*j = 2 + l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3 - 4 + 3*i + 6*i + i - 5*i. Let n(z) = 14*z - 8. Let g(a) = -14*a + 7. Let u(m) = -5*g(m) - 4*n(m). What is 11*j(b) - 4*u(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -25. Let t(i) = i**3 - 4*i**2 + 5*i - 3. Let g be t(3). Find the second derivative of w**4 + 2*w + 7*w**3 - s*w**g wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3928819 or -3928820?\nAnswer: -3928819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 117045033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 9608*l - 416860. Determine i(-43).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 1179840.9.\nAnswer: -70790.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)*i*i)\/i**(-36) assuming i is positive.\nAnswer: i**(416\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -153, -146, -129, -96, -41, 42, 159?\n\"Answer: i**3 - i**2 + 3*i - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d = -53*d. Solve 16 = -d*c - 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71790209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 8 + 13 - i)*(-46*i - 24*i + 2*i + (-1 - 4 + 3)*(3*i + i - 2*i)) to the form p*i + h*i**2 + q and give p.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (66 - (7 + -2)) + (1 - 7) + 4\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -4 + 7 + 0 + 0 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-30)*(-26)\/(26\/51).\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 568 = -26*u, -1421 = 3*p + u - 1396 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 - 6*v**2 + 3*v. Let z be g(4). Let s be 3\/z + 12\/66. Let t = -31.1 - -31. Which is the nearest to s? (a) t (b) -5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 33*i**3 - 53*i**3 + i**2 - 52*i**3 - 15*i**3.\nAnswer: -87*i**3 + i**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 903308637378\nAnswer: -903308637382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1086*w**3 - w + 349 - 1084*w**3 - 28*w**4 + 27*w**4 as r*w**3 + d + s*w**2 + t*w**4 + k*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:22 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28219998 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -23*w + 5. Suppose -3*z + 40 = 2*z. Let i(l) = -34*l + 46. Let b(d) = 11*d - 14. Let r(j) = 10*b(j) + 3*i(j). Determine z*r(c) + 3*t(c).\nAnswer: -5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u + 16*u - 10*u in the form a + x*u and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*g - 55652, 254*g - 27817 = -c + 251*g. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11496139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -152*y**3 - 79*y**2 + 2*y - 1275. Let s(o) = -76*o**3 - 40*o**2 + 2*o - 637. Let l(u) = -2*k(u) + 5*s(u). Find the second derivative of l(i) wrt i.\nAnswer: -456*i - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96642581*g**4 + 110860605.\nAnswer: 386570324*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -23. What is the first derivative of 17 - x**3 + x**3 - 307*x**m + 300*x**4 wrt x?\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*l + 317, -2*y - l + 6*l = -632. Let a = -211 + y. What is the greatest common divisor of 44 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(1 - (-7)\/(-6)). Let f(d) = -d**3 - 6*d**2 - d - 1. Let g be f(n). Suppose -l = -g*l. Is 0 equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 + -307\/2. What is the closest to -2 in t, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 0, 19, 21, -3 in decreasing order.\nAnswer: 21, 19, 3, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7+-182529.8\nAnswer: -182536.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:24 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (11 + -2 + -3)) + 26 + -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(3800)*4)\/((sqrt(14) + sqrt(896))\/sqrt(7) - sqrt(12)\/(sqrt(6)*5)).\nAnswer: 50*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*j + 2*g - g, -2 = -j + g. Suppose 4*w = 5*c - 9, -j*c = -w + 4 - 9. Let q = c - -11. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(432) + 0)*-6)**2.\nAnswer: 139968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2090*o + 286. Let l be ((-44)\/(-5))\/(132\/(-8580)). Let w(n) = -22*n - 3. Determine l*w(s) - 6*i(s).\nAnswer: 44*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 2*v - 3. Suppose 0 = d + w - 17, d - 7 = 3*w - 2*w. Let c = d - 16. Give t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2966\nAnswer: 2\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-46*(-29)\/11339)\/((-1)\/(-221))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/17, 6\/76367, 1\/8, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*1)\/(111\/(-74)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 6*p + 1. Let q be x(-4). Let z be q\/36 + 314\/(-8). Let c be (z\/(-65))\/((-1)\/(-25)). Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 319038141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -153 (b) 2\/11 (c) 1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -1\/2 (c) 72 (d) -2\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*i + 4*i + 2, 4*k = -2*i + 4. Let z be k\/(3 - (-31780)\/(-10591)). Round z to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 348895\/18 + -19389. What is the common denominator of p and 15\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 15*r**3 - 2*r**2 - r + 2. Let z be i(2). Suppose 4*v = 528 - z. Suppose -a + v - 27 = 0. Calculate the highest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from zzhzzzzhzh?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42.92 + 43. Sort -1, x, -3, 2\/3.\nAnswer: -3, -1, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/8, 1\/6, -2\/11, 4, 2\/87?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 3. Let f be b(-3). Let d = -19 - -21. Suppose h = -d*h + 12. Solve o + 16 = -f*o - 5*k, -h = o + 2*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 23, 17, 1 in ascending order.\nAnswer: 1, 3, 11, 17, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1628074*r**3 - 4224135 with respect to r.\nAnswer: -4884222*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24705566 is divided by 1235278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 23 + a - 8*a - 8 in the form d + z*a and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/309691?\nAnswer: 2\/309691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (13 - 20\/(-4))*(-2800)\/(-24) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1528, -12218, -41232, -97732, -190880?\nAnswer: -329838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.392 rounded to two dps?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 23274222 = -1824222. What is a rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 15.6. Let u = j + 0.7. Which is the biggest value? (a) 5 (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7485, 7467, 7439, 7401, 7353?\nAnswer: 7295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 20*s**2 + s - 16. Calculate the remainder when 17 is divided by w(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-9)*(2079\/11)\/(-21)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71331186 divided by 171058.\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 b when three letters picked without replacement from ibbibbibibiibi?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -19*y**6\/120 - y**4\/8 + y**3\/2 - 763*y**2. Let t(c) = -475*c**3 - 76*c + 76. Give 76*h(b) - 3*t(b).\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/128, -2\/3, 116, 0.2, 2?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3)\/u)\/u**(-1))**(-4\/11)\/((u*u\/(u\/(u**(2\/5)*u*u))*u)**(-9\/10)\/(u**(4\/7)\/u*u*u**(-1\/4)\/u)) assuming u is positive.\nAnswer: u**(81401\/23100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 8*s**3\/3 - 3*s**2\/2 - 8. Solve j(y) = 0 for y.\nAnswer: 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b = 11*b - 84 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + ((sqrt(1700) + 1 - (sqrt(17)*-3 + 2))*-4)**2)*-5.\nAnswer: -229933 + 2080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.051877629 - 29.679089371. Let n = 29.782 + b. Let p = n + -0.051. What is p rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -1 - (9 - (94 + -5)). Let q = x - 75. Solve n + q = -1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**23*u*u)**(-13\/4) assuming u is positive.\nAnswer: u**(-169\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 152, 422, 988, 1958, 3440, 5542?\nAnswer: 8372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 5) to base 13.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101536 is divided by 986.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(2\/3)))**(-32)\/((l*l*l**(-4))\/l*l**(-6)) assuming l is positive.\nAnswer: l**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14b989 (base 15) in base 10?\nAnswer: -1001154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5831\/11 - 530. Let h = -51 - -511\/10. Which is the second biggest value? (a) 0.3 (b) l (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 + k. Let x be (-68)\/(-6) - 12\/36. Suppose 0 = 3*c + 8 - x. Determine d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, n: 5, i: 3}. What is prob of picking 1 n and 1 j?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 109\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let u(t) = -2*t**2 + 3*t + 4. Let i be u(3). Let h = x - i. Solve -12 - 4 = h*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 29024942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5704524 to the nearest integer?\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2953 divide 182899961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10375*w**4 - 9*w**2 + 296*w + 2?\nAnswer: -249000*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3966\/(-13881))\/(1\/28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476663563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 557962187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 109*k - 3093. Determine a(28).\nAnswer: -1609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-4\/5)*r)\/r)\/(r*r**(2\/49)))\/(r*r\/((r*r**(-8)\/r*r)\/r)*(r\/(r**(2\/17)\/r))\/r) assuming r is positive.\nAnswer: r**(-52992\/4165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2877 divided by -44\nAnswer: -2877\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 180830\/48 + 0 - 1\/4. Let c = r + -3761. What is the common denominator of c and 73\/51?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 35*b**2 + 119*b - 1588. Let f be v(37). Calculate the highest common divisor of 3245 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*q - 29 = -2*g, 3*g - 6 = -2*q. Suppose 5*b = g*y - 53, -y + 45 = 3*y + 3*b. Solve 2*x = -x - y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l + 1. Suppose 0 = l*x + 12 - 54. Put -11, x, 0 in decreasing order.\nAnswer: x, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 772327041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2102, -1858, -1460, -908?\n\"Answer: 77*b**2 + 13*b - 2192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*w + 256, 0 = 4*a + 5*w - 477 + 89. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 6. Let y(q) = -33*q + 33*q + q**2 - 1. Suppose -2*h = -u + 6, -h - 13 = 76*u - 79*u. What is h*l(p) - 6*y(p)?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575*s + 15434 + 5841 = 0. Suppose 0 = 5*z - z + 152. Is s greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*i - 646, 3*g + 0*i + 482 = i. Let a = -103 - g. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.217, -2, 0.5, -14, 6\/43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 14\/3*i**6 + 1\/2*i**4 + 102 - 11\/2*i**2 + 0*i**3 + 2*i + 0*i**5. Find the second derivative of n(v) wrt v.\nAnswer: 560*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1302*a + 18130 = 562*a + 481*a for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -7369417?\nAnswer: -18\/7369417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**3 + 1\/15*y**5 + 0 - 7\/24*y**4 + 0*y - 39*y**2. Let z(d) = 5*d**2 - 8*d - 7. Give 6*c(l) - 5*z(l).\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 550040072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and -0.05.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4bb1 (base 12) in base 16?\nAnswer: 21b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/21*(-14)\/(-3))\/(680\/(-3060)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 114 + 14. Suppose 2*i + 24 = 2*y, -i = -y - 6*i + 36. Calculate the highest common factor of t and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/131 or 30.9?\nAnswer: 30.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {h: 2, s: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 114\/20*((-369)\/36 - -9) and 50\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 606273 (base 8) to base 9\nAnswer: 334144","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 41. Suppose q*m = 3*m. Suppose j = -4*u + 385, 3*j + m*j = 3*u - 300. What are the prime factors of u?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 = l + c, -5*l = -5*c + 729 + 901. Let u = l - -325. Solve 8 = -0*x + u*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*r, 61*m = -5*r + 62*m - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + q + 3*q)*(-8 + 8 + 6*q)*(-4*q + 2 - 2) + (4*q**2 - 4*q**2 - 2*q**2)*(3*q - q + 0*q) + 6*q**3 - 3*q**3 - 2*q**3.\nAnswer: 45*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1450459, 1450463, 1450467, 1450471, 1450475?\nAnswer: 1450479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*b + 58 = 0, 0*b = b + 4. Suppose -t = 13*m - 20*m. Suppose -12 = 4*y, -m*u + 0*y = 2*y - 102. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192434 (base 11) to base 12\nAnswer: -12336b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -5, -3, -666 in descending order.\nAnswer: 5, 1, -3, -5, -666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e43 + -3?\nAnswer: -1e46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*t + 5*z = -147*t + 3, -12 = -4*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*i + 34 = -121, -2*i - 460 = -5*k. Suppose 2*x + 0*z = -2*z + 94, 4*z = -2*x + k. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**4 - 5*j**3 - 3*j**2 + 5*j - 1. Let x(q) = -19*q**3 + 10*q**3 + 2*q**4 + 7*q**3 - 2*q**2 + 2*q. Let a(b) = 4*u(b) - 10*x(b). Factor a(s).\nAnswer: -4*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128847 is divided by 3979?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 55*z - 27. Let i be v(-28). Is i >= -2\/6137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.92517 or -840?\nAnswer: -840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1 + 13*t**2 + 1 - 2 - 11*t**2 + 180*t**3. What is the units digit of f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**9\/504 + 23*c**5\/60 + 34*c**2. What is the third derivative of g(v) wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 8, -7, -1, 63, 5 in increasing order.\nAnswer: -7, -2, -1, 2, 5, 8, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (2 + (sqrt(80) + -2 + (sqrt(80) - (sqrt(80) - -1*sqrt(80))) - sqrt(80)) + 2 + sqrt(80) + 3)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 341461, 341463, 341465, 341467?\n\"Answer: 2*q + 341459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1666493465 from 0.21.\nAnswer: -1666493464.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982979.1ml to litres.\nAnswer: 982.9791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a04a7 - -2?\nAnswer: a04a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -112.47821739 rounded to one dp?\nAnswer: -112.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**3 + 0*m + 0*m - 4*m + 2*m**3 + 4*m + (4*m + 0*m - 3*m)*(m + 2*m**2 - m) - 2626*m**3 - 401*m**3 + 1602*m**3 as o*m + c*m**2 + f + s*m**3 and give s.\nAnswer: -1414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 6*l + 24. Let k(s) be the third derivative of -2*s + 5\/6*s**3 + 1\/12*s**4 + s**2 + 0. What is k(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3782 - -3769. Let s = 12.1 + -0.1. Let b = s - 11. What is the second smallest value in 5, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -539*a**2 + 8*a - 8277 wrt a?\nAnswer: -1078*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - i**2 + 6*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -88592 divided by -3164\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 + 95. Find the third derivative of q*d**5 + 5*d**5 - 68*d**4 + 68*d**4 - d**3 - 45*d**2 wrt d.\nAnswer: 2160*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p. Let h(u) = 295075*u. What is v(h(z))?\nAnswer: -1770450*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3441194?\nAnswer: 2, 1720597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 times -2678.6?\nAnswer: 251788.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 9143 = 9159 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213705?\nAnswer: 3, 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + -13. Let v be 2\/(-4) + (-15)\/z. What is l in 0 - 2\/3*l**4 - 1\/3*l**5 + 2\/3*l**2 + 0*l**3 + v*l = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*i**5*x**3 + 6*i**4*x**3 + i**2*x - 12*i*x**2 - 3*x**3 wrt i?\nAnswer: -3600*i**2*x**3 + 144*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 3*q - 1. Let o(u) be the first derivative of u**2\/2 - u + 2. Let s(b) = b**3 - 23*b**2 - 139*b + 4. Let f be s(-5). Determine f*o(i) + y(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32102, -33172, -34242, -35312, -36382, -37452?\nAnswer: -38522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.267 * -980.\nAnswer: 261.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/4*7656\/660*(-5)\/(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.47 - -21.3. What is the fourth smallest value in 0, -2\/9, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 77599 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 56 times -10.89\nAnswer: -609.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 96. Let u be 38\/3 + (-16)\/o. Calculate the highest common divisor of u and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12*56\/(-350) - 695374\/(-2387730).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 71932804\nAnswer: 71932798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**6\/27 + 2*h**5\/9 + 5*h**4\/18 - 50*h**3\/27 - 40*h**2\/9 - 32*h\/9 - 18. Factor z(y).\nAnswer: -2*(y - 4)**2*(y + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(4\/9))*p**(-7))\/(p**5\/((p**7*p)\/p)))\/(((p\/p**(1\/22))\/p)\/(p**7*p))**20 assuming p is positive.\nAnswer: p**(15391\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1653296 and 54053.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*u = -9, 0 = -0*u + u - 4. Let s = l - -4. Differentiate 0*r**3 + 3 - 2 - r**s with respect to r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3847, -750, 4 in descending order.\nAnswer: 4, -750, -3847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 5*q + 2. Let c be w(-5). Let x be (-3377)\/22 + c\/4. Let z = -70 - x. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -17*z**3 - 11*z**2 + 760*z - 14. Let o(b) = -6*b**3 - 4*b**2 + 253*b - 5. Give 11*o(i) - 4*u(i).\nAnswer: 2*i**3 - 257*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 19*a - 114. Let y be 3*2\/a - (-20 + -3). What is the greatest common factor of 108 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + m = -34, 0 = -p + 24*m - 27*m + 26. Put -28, p, -3 in increasing order.\nAnswer: -28, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1363 divided by 4\nAnswer: 1363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, q: 6}. What is prob of picking 2 i?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 8*b. Suppose b*z - 23 = 2*o - 5*o, -z + 10 = o. Let i = -3142 - -3141.9. What is the third biggest value in i, z, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, o: 3, n: 1, c: 4, s: 1}. What is prob of sequence ans?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjq when three letters picked without replacement from jjggqm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 - (-12)\/12. Do i and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d + 2*d + 2*d - 4*d + 0*d + 3*d + (6*d - d - 3*d)*(2 + 1 - 1) + 0*d + 2*d + 0*d + 4*d + d - 3*d + (-2 + 2 + 2*d)*(-3 + 3 + 1) - d - 20*d - 6*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 260 + 1022*m**2 - 35 - 1021*m**2 + 30*m = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4413935l?\nAnswer: 441.3935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194983.\nAnswer: 73, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*u - 16*u**3 + 38*u + (-2 + 1 + 0)*(0*u**3 - 6*u**3 + 0*u**3) + u**3 - 2*u**3 + 0*u**3)*(-u + 4*u - 2*u).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - -0.3283979.\nAnswer: 0.3683979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 454?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/4 + -1\/4. Suppose -4*q - 1 = -17. Suppose 0*z - q = -z. What is the smallest value in z, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/328653?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Suppose -3*i - u + 6 + 9 = y, -i + 5*u = -5. Suppose 2*a = -5*b + 6*a + 100, 75 = i*b + a. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622514007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u + 4. Let t be v(4). Suppose 0 = 3*i - 7*i - t. Let n(b) = b - 4 + 5 - 2. What is n(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - 210?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 + -9 + (3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 680?\nAnswer: 15640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 414209529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 15 = 5*j, -1333*b + 2*j = -1335*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 39*s + 68 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 44 - 14)*(-98 - 4*b + 189 - b**2 - 90) as w*b**2 + g*b + q and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209032?\nAnswer: 2, 17, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(46*h - 46*h + 41*h**2).\nAnswer: 41*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6758 times 22?\nAnswer: -148676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220 + 1000012?\nAnswer: 1010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 242*d**2 + 90*d + 18. Let j be b(-6). Calculate the highest common divisor of 28 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**6\/18 + 3*z**5\/5 + 7*z**4\/4 + 11*z**3\/9 - 2466. Find l, given that a(l) = 0.\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5974069, 11948137, 17922203, 23896267?\n\"Answer: -a**2 + 5974071*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 7*b = -10. Let v be -1 - (1 + 4\/b). Suppose 2*p - 12 - 12 = v. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.12 + -1892.\nAnswer: -1902.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 7:55 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/3 (c) 0.191 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46202933279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1dc?\nAnswer: -1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 18\/37405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 53 = -17. Let y be (-4)\/(12\/k) - -3. Is y + 1 + 45\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60593264683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -428 + 312?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400)\/(sqrt(40)\/sqrt(4)))\/(sqrt(288)*1))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 15. Let v be c(6). Sort 1, 3, v.\nAnswer: v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/240*10*28 + 3\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 277616 and 116528.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0*t + 3*t + 2*t**2 + 0)*(-2294*t - 280*t + 183*t) as g*t**3 + v + j*t + z*t**2 and give z.\nAnswer: -7173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/81634 and -62\/5831.\nAnswer: 81634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -34 times -1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116090 and 245024?\nAnswer: 57580640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 3543212?\nAnswer: -3543202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 23*v**2 - 71*v + 610. Calculate u(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*s + 5 = 0, l + 3*s - 8 = -3. Let b = 0.003 + -0.113. Put b, l, 0 in decreasing order.\nAnswer: 0, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + 77. What is the closest to 0 in c, 2\/3, 13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2920747?\nAnswer: 23, 126989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s**2 + 3*s + 5. What is the units digit of k(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 952?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 2, d: 1}. What is prob of sequence eev?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -87. Suppose -252 = -11*x + v*x. Suppose -24*z + x = -18*z. What is the highest common factor of z and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 0*t**2 + 7*t - t**2 - 1. Let k be y(7). Suppose 234 = 3*n - 2*j - k, 3*n = -5*j + 240. Calculate the highest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w - 1. Let t = -13 - w. Let g(o) = o - 1. Let h(i) = i - 2. Let a(d) = t*g(d) + 3*h(d). Let s(b) = 6*b**2. Give s(a(l)).\nAnswer: 54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (sqrt(5)*-3 + 1 + (sqrt(1125))**2 - ((sqrt(80)\/sqrt(4))\/sqrt(4) + -1)**2*-5).\nAnswer: -13*sqrt(5) + 1158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/434 and 125\/1302.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374678393 is divided by 3655.\nAnswer: 3653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 13 and 4616\/333 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/154 and 131\/23694.\nAnswer: 165858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7000686 divided by 5051\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12 - 40 - 14*t + 0*t - 3*t wrt t.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000121 + -1012102012212?\nAnswer: -1012110020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3303508 divided by 5?\nAnswer: -3303508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 52.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 9}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -7. Let q = 9 - 9. What is the smallest value in q, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {n: 3, v: 2, i: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b = 5856833 + 782869. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*z + 3*q + 31, -15 = -3*q. Suppose 2*v + 7*w - 170 = 12*w, -3*w = -v + 83. What is the remainder when v is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, h: 2}. What is prob of picking 2 h and 2 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.80638611*-2\nAnswer: -1.61277222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -5 (c) 368973 (d) -2\/15 (e) 1 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -126\/11611333?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*v**6 + 18*v**4 + 9558*v**3 + 16388*v**2 - 6267*v?\nAnswer: -1800*v**3 + 432*v + 57348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 461 = -4*v - 469, 4 = -2*v + 4*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvvrrr. Give prob of sequence rvrr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-391)\/(-68) + ((-6)\/8 - -1). Let l(j) = 0*j + i*j - 7*j. Let y(m) = 1. Determine l(s) - y(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2319 and 177017.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, u: 1, e: 1, p: 6, c: 4}. Give prob of picking 1 e and 3 c.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + 2*t**2 - 3*t**2)*(0 + 1 - 3*t + 5*t) to the form w*t**2 + p*t**3 + f + r*t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - e8?\nAnswer: -ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 + -2.1. Let n = j - 1.3. What is the nearest to 0.1 in -0.3, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 6 = o, 3*o + 0*o = 4*a + 2. Suppose 98 = o*k - 200. Suppose -3*u - 2*z = -k, 0 = z + 2. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 33 = 3*y. Let r = y - -27. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12422*w**2 - 24823*w**2 + 12397*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 3, q: 1, j: 5, w: 8}. Give prob of sequence wjc.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1893499 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*k + 20, 1 = 5*k - 2*j - 2*j. Let v be 1725\/225 - (-5)\/k. Solve -2*z + 16 = -v*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 7 + -12 + 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 5, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 11*x - 1844 = 15*x, -4*i + 5*x = -1486. What is the remainder when 766 is divided by i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6486*b**3 + 986 + 44855*b**3 - 986 + 4336*b**3)*(0*b + b + 0*b) as r*b**3 + n + u*b**4 + w*b + x*b**2 and give u.\nAnswer: 55677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.8 (b) 0.3 (c) 0 (d) -41.1 (e) 3\/8 (f) -6 (g) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/68902 and -43\/1222.\nAnswer: 895726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4754887 is divided by 149?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.00472 * 0.53.\nAnswer: -43.9925016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 + 6187*s**4 - 6189*s**4 - 3*s**2 - 2*s + 5*s**3 as f*s**4 + m*s + t*s**2 + w + r*s**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.64 + 22.64. Put -5, -1\/7, b, 0.3 in increasing order.\nAnswer: -5, b, -1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*f + 3*v - 4, -2*v + 40 = 4*f. Let s be 3\/2*f\/6. Suppose -3*t + 15 = 3*h, -2*h - 2*h = -5*t - s. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56, -105, -154, -203, -252?\n\"Answer: -49*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24405899.\nAnswer: 7, 19, 183503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.66 + -1.7198. Let y = -0.05 - z. Round y to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.237 - -29569125\nAnswer: 29569126.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13766046.\nAnswer: 2, 3, 7, 31, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 + 8*x - 9. Let h be c(1). Solve -h*k - 3*d + 1 = 0, 2*d = 3*k - 2*k - 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**3\/3 - 3*s**2 - 2*s. Let j be c(2). Sort j, -4, 10.\nAnswer: -4, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2532411?\nAnswer: 3, 7, 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -93812 and 2.4.\nAnswer: -225148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/122542080 and 173\/245760.\nAnswer: 980336640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.71 - -0.95. Let d = i + -6.04. Round d to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -485556 divided by 4\nAnswer: -121389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 - (4 - -10 - (25 + -11)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-6) - 8\/12. Let a be u - (-2 - -4)*-2. What is the second derivative of -a - 3*m**2 + 6 - 2*m**2 + 12*m wrt m?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -5.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 326317.5 and 1.\nAnswer: 326318.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**3 - 19*d**2 - 1210*d - 18. Let x(h) = h**3 - 3*h**2 + 2*h - 3. Give -i(p) + 6*x(p).\nAnswer: -p**3 + p**2 + 1222*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6703681.010200474 - 6703681. Let m = -0.0102 + y. What is m rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 + 33*t - 33. Let v be k(1). Solve -l + 6 = v*o, -l + 0*l - 14 = -5*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 4*h**2 - h**2)*(-266 - 113 - 20).\nAnswer: 399*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5316 or -31891\/6?\nAnswer: -5316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 7 + (8 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -6956?\nAnswer: -6956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 28701*t**2 + 344414*t - 6. Calculate k(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 941*d + 93. Let v be y(1). Calculate the greatest common divisor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*u*v**2 - 430*u - 18*v**3 + 2 wrt v.\nAnswer: 76*u*v - 54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 281, 2226, 7417, 17450, 33921, 58426?\n\"Answer: 266*i**3 + 27*i**2 + 2*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1753, 1856, 1955, 2050, 2141, 2228, 2311?\n\"Answer: -2*c**2 + 109*c + 1646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 - 5 - 4 + 10 + 1 to the form o*i + x + b*i**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3\/4, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5494100 at most 5494099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**2 + 5*l**2 + 6*l + l**3 + 8*l**2 - 2*l**2 in the form a*l + h + x*l**3 + v*l**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16085326?\nAnswer: 2, 23, 89, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 11897\nAnswer: -11897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3*x**4 - 5*q**3*x**2 - q**3*x + 12*q**3 - 10*q**2*x + 74*x**2 - x wrt x?\nAnswer: -24*q**3*x**2 - 10*q**3 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5*f = 0, -5*u - 2597*f + 2600*f = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -268940, -1075679, -2420246, -4302641, -6722864, -9680915, -13176794?\n\"Answer: -268914*l**2 + 3*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:15 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/v*v)**9*v**(-6\/5)*v**(-3) assuming v is positive.\nAnswer: v**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/5)\/(r*r**(-2\/5)) assuming r is positive.\nAnswer: r**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.31294 - 4.8968. What is w rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(3\/2))**(-1\/3))**(-13))**33 assuming i is positive.\nAnswer: i**(429\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 6 - 0)*(-12)\/8. Let v(n) = 1. Let o(r) = r - 4. Calculate y*v(l) - o(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(-15)\/g*g))\/(g**(-1\/2)*g) assuming g is positive.\nAnswer: g**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w - 4. What is the units digit of q(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-3)\/(4*-9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.225 times 30.6?\nAnswer: -741.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*s**3 + 55480*j**2*w**2 - j*w**2 - 710*j + 4*s**3*w**2 + s**3 + s wrt j.\nAnswer: 2*s**3 + 110960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(30) + sqrt(90)\/sqrt(3)))\/((sqrt(90)\/sqrt(3))\/sqrt(3)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 618 = -8*a. Let t = a - 115. List the prime factors of t.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-8\/3))\/t*t)\/((t\/t**(-10))\/t))**(1\/7) assuming t is positive.\nAnswer: t**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2909 - 870. What are the prime factors of j?\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -9. Let b be (-2)\/(-3) + (-40)\/z. Solve 7*c = b*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100226 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 6, 2\/51, 0.5?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3975, 4018, 4149, 4416, 4867, 5550?\n\"Answer: 8*k**3 - 4*k**2 - k + 3972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) - 39\/(-12). Find the common denominator of -11\/5 and (l*1)\/(-1 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (sqrt(3) + 2)**2).\nAnswer: -16*sqrt(3) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -22, -8, 24, 80?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1389, -2, 2 in increasing order.\nAnswer: -1389, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/4, -3667, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1007 divide 57636143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -6\/7, 2.6, 4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -147, -101, -27, 69, 181, 303, 429?\n\"Answer: -b**3 + 20*b**2 - 7*b - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80590 - -644723\/8. Determine w, given that 51\/2*w - 18*w**2 - 12 - x*w**4 + 39\/8*w**3 = 0.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzrd when four letters picked without replacement from {d: 3, r: 2, g: 2, z: 6, j: 6}?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5562.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212 - -215. Solve -n - 8 = -k*o, -8*n + 7*n - 3*o = 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(121) + (sqrt(121)*-2 - sqrt(121)) + sqrt(121))*-3)\/(((sqrt(88) + sqrt(88)*2)\/sqrt(2))\/sqrt(4)).\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3 - 6968*m**2 - 140160*m = 0. What is m?\nAnswer: -20, 0, 3504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 2 + 5 + 6*g.\nAnswer: 6*g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 1. Let j be b(-3). Suppose 116 + 32 = j*h. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from bshgbbbl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.4515 + 0.4165. Round l to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 477 and 151959?\nAnswer: 24161481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -218006, -217989, -217960, -217919?\n\"Answer: 6*d**2 - d - 218011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 + 5620?\nAnswer: 6040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 7 = 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 7684716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62\/3 - 685\/33. Which is the closest to -26? (a) 3 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/7 - 482*q**3\/7 + 68307*q**2\/7 - 2348172*q\/7 + 1676484 = 0.\nAnswer: -602, 6, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*z - 77*z + 6549. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1 - (-268)\/(-264)). Suppose -2*h + y = 2*v, -2*h + 2*v = h - 109. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4952*q - 10028*q + 5 + 5061*q.\nAnswer: -15*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-10)\/(-5)*2*(-1)\/48)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -46.1. Let j = 0.2 - 1.5. Let g = l + j. Which is the smallest value? (a) -0.4 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(720) + -4*sqrt(720) - (-4 + (sqrt(5) + -2*sqrt(5))*6 + 0))**2.\nAnswer: 60*sqrt(5) + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqebbfebbebbffeeee. What is prob of sequence bq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owliooowlw. What is prob of sequence oi?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -44*i - 1. Let g(y) = 4*y. Determine r(g(q)).\nAnswer: -176*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 74. Let l be z(0). Suppose l = -j - j. Let f = -16 - j. Calculate the greatest common factor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5133, 10173, 15119, 19971, 24729, 29393?\nAnswer: 33963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 1075 = -28*d. What is the least common multiple of d and 69?\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 0.8595.\nAnswer: 1.8595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5886*b*h**2*m - 5*b*h**2 - 18*b*h + 164*b*m - 76*b + 2*h**2 - 7*h + 2*m**2 + 3 wrt m?\nAnswer: -5886*b*h**2 + 164*b + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*p - p, -2*p + 41 = 5*w. What is the common denominator of 2\/3 - 1235\/(-342) and ((-85)\/w)\/((-144)\/(-56))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*(sqrt(13)*1*-3 + 3))**2*-2.\nAnswer: -6050 + 600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 24 = 8. Let n be p\/(-14) + 128\/56. Let v(h) = 5*h**2 - 6*h**2 - h**n. Let y(l) = 2*l. What is v(y(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/((-1)\/(-5)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) 15529 (c) 1\/4 (d) 4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86.8795 + -0.0795. Let q = -87 + w. Which is greater: -0.4 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374112097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-1)*(-32)\/(-288)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**4\/4 + 8*q**3\/3 - 11*q**2\/2 - 6*q - 10. Let r be g(-9). What is the units digit of 399\/r - (-5)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by 57?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1057*l**4 + 500*l**4 + 520*l**4 + (-4*l**3 + l**3 + l**3)*(-3*l + 4*l + l).\nAnswer: -41*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**3 + 14625*p**2 - 131844*p + 117216 = 0.\nAnswer: -4884, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvh when three letters picked without replacement from lqvhxvn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -28. Let f = 17 - d. Which is the nearest to 0.1? (a) 3 (b) f (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 20, 2*g + 0 = 4*p - 14. Let q = -42 - -50. Solve -a - g*a = q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49\/8646282 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -21*g + 22. Let s be h(7). Let p = -877\/7 - s. What is the nearest to p in 2, -3\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (7 + (-12 - -20) - 23)) + (11 - 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by ((-4)\/3)\/((-1)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102*u**5 - 75635*u**4 + 2*u**2 + 67*u + 179 wrt u?\nAnswer: 6120*u**2 - 1815240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 9 = -57. Let h be (1*4)\/(-6*v\/48). Let n = -8 - -5. Sort n, h, -5 in descending order.\nAnswer: h, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(7270\/43620).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-5*sqrt(66))\/sqrt(6))**2 + sqrt(11))*4.\nAnswer: -4400 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24996 divided by 6249\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 * 0.03\nAnswer: -0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -23) + 13 + -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*w = 1. Let k be (w - 4)*8\/6. Let r = -238 + 235. Sort k, r, -5 in ascending order.\nAnswer: -5, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*1\/8*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/m**(-9\/4))*m)**43 assuming m is positive.\nAnswer: m**(-387\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27\/364 - -1772\/273. Calculate the common denominator of 99\/16 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + r - 9 = 3*d, 9 = -d - 2*r. Let b be (-3)\/(0 + (-2)\/12). Let o = b + d. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*w + 240, -w - 192 = -4*a + w. Suppose -r + 21 + a = 0. Is (5\/3 - 0)*r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*s - 11 - 4 = 0, -3*t + 38 = s. What is the remainder when 49 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265598.1 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0921 + -4.1221. Let p = -0.03 - g. Which is the closest to -1? (a) p (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.24787 centuries to millennia.\nAnswer: 2.224787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 8*i + 4. Let t be (-3)\/5 - 33\/(-5). What is the tens digit of d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 12 = -3*j - 8, -3*j - 2 = -5*a. What is the common denominator of j\/22 - 1588\/(-264) and 37\/52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 1335, 4340, 10197, 19860, 34283, 54420?\nAnswer: 81225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.038 + 5.\nAnswer: 5.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 2 - 3\/20*l**4 - 2\/5*l - 9\/10*l**2 - 2\/3*l**3. Factor s(f).\nAnswer: -(f + 1)*(f + 2)*(3*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*y + 8. Let c(k) = 2109*k**y - 2108*k**3 - 5*k**2 - 17*k + 3*k + 5. Let w be c(7). Solve 4*g - 5 = -z + 7, -3*z - 32 = -w*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(3*d - 33*d + 15*d)*(12 + 6 + 10*d - 16).\nAnswer: -300*d**2 - 60*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*w + 40679, 4*i + 40680 = 4*w + 8*i. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817416958 to the power of 1\/2, to the nearest integer?\nAnswer: 28591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/(-15) + (4 - 7)*2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*v - 203 - 391 = 80*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 1. Let l(s) be the first derivative of s**3\/6 - s**2\/2 + 3*s - 2. Let v(g) be the first derivative of l(g). What is 3*c(m) + 4*v(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -548 + 361. Let t = k - -337. Suppose -207 - t = -3*m. What is the remainder when m is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*p - p. Suppose -5*c + c = -p*q - 4, 3*c = 2*q + 3. Solve -3*h - 11 - 1 = q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/16 - (-1245839)\/(-420). Let s = o - -2972. What is the common denominator of s and 31\/55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 940051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p = 2*l - 29*p + 22, 2*l - p + 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*g*s**3 - 746*g*s**2 + 168*g*s + 12878779*s**3 wrt g?\nAnswer: 4*s**3 - 746*s**2 + 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from {x: 1, o: 3, i: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 170643 and 170643 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 2. Let f(k) be the third derivative of k**4\/24 + 88*k**2. Give b(t) + 4*f(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**3 + 44*n**2 - 73*n. Let v(u) = -u + 3. What is the remainder when f(-10) is divided by v(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 5*d**2 + d - 3. Let m be a(5). Let z(g) = -m*g + 9 + 5*g + 3*g + g**2. Let y be z(-6). Solve y = -4*n + n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 16*m**2 + 15*m + 4. Give u(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/109 in 5, 1\/3, -3, 315, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 4\/7 (c) 732 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -242, -362, -482, -602, -722?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 43203 - -2925702255\nAnswer: 2925745458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4517136 and -57.\nAnswer: -257476752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/540*4)\/(-4*5\/(-120)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (56 - 133 - -83) + (1 - -33) + (-1 - 1)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + w + 134. Let s(h) = 89*h. What is s(y(r))?\nAnswer: -178*r**2 + 89*r + 11926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -751512776*l - 263990331 wrt l.\nAnswer: -751512776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1629315 and 24300.\nAnswer: 32586300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 12*c = 270 - 300. Let t(l) be the first derivative of 2\/5*l**3 - 11\/10*l**4 + 38 + 0*l - 8\/25*l**c + 0*l**2. Factor t(m).\nAnswer: -2*m**2*(m + 3)*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/11 + 4140\/22. Is ((-3)\/(-6))\/(2\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1015 and 153960.\nAnswer: 31253880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.20962393 rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1910 + -1908. Sort -5, y, 0.3, 0.5.\nAnswer: -5, 0.3, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:57 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 - 42*b**2 - 8*b - 99. Calculate v(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015653561 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - f)*(3 - 2 + 1 + (2 - 3 - 1)*(-6 + 1 + 3))*(18 + 11*f - 18) + (2*f + 0*f + 0*f)*(-12*f + 2*f + 7*f) to h*f + s + p*f**2 and give p.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = s + 3*z, 3*s - z - 12 = 0. Calculate the remainder when (-78)\/(-8) + 4\/16 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 - (26 - 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 54, 56, 58, 60, 62?\n\"Answer: 2*a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 276, 1126, 2810, 5598, 9760, 15566, 23286?\nAnswer: 33190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54180 and 442630.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - -31) + (-3 - (15 + -5)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/(3\/24). Let w(f) be the third derivative of 1\/12*f**v - 4\/15*f**3 + 0*f - 1\/150*f**5 + 13*f**2 + 0. Factor w(c).\nAnswer: -2*(c - 4)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -32*r + 26 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1424815 divided by -284963\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001873 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2. Let g(b) = -396*b**2 + 1218*b**2 - 407*b**2 - 405*b**2. Determine -g(l) + 10*v(l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827818 is divided by 2815?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1136818 and 14279?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130 - -130.4. Let n = -8.5 + -4. Let g = -13 - n. What is the closest to b in 1\/4, 5, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 4 + 4 + (3 - 3 - u)*(-6 + 4 + 1) + u + u - 5*u)*(-166*u + 104*u - 226*u) as w*u + r*u**2 + p and give r.\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 29 + 3*o**3 - 4*o**3 - 29 to the form d*o + h*o**2 + a*o**3 + r and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*k - 2*z + 12, 15 = 5*k + 5*z. Let l(i) = -i**2 - 2*i**2 + k*i**2 - 6*i + 2 - i**2. Let x be l(-6). Solve -x*t = 2*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4831.708 to the nearest one hundred.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**3 - 46*f + 2*f**3 + 6*f**3 - 15*f**3.\nAnswer: -2*f**3 - 46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/6, -0.1, 43050, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 454 + -261. Let q = 522 - f. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/132 and -113\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 162 - 651\/4. Let q = 2.68 + -2.38. Put q, h, -4 in increasing order.\nAnswer: -4, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obt when three letters picked without replacement from tcbouytc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*w**4 - 2708*c*w**3 - 169721*c*w - 4*w**4 + w**2 wrt w.\nAnswer: -24*c*w - 16248*c - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gozuqzpp. Give prob of picking 1 o and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -836, -84\/23, 5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aak when three letters picked without replacement from sasassasmsqkm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}