diff --git "a/data/dm_maths/full_data_2/2239_11255.jsonl" "b/data/dm_maths/full_data_2/2239_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2239_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the jth term of 44608472, 44608470, 44608468, 44608466?\n\"Answer: -2*j + 44608474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 8 = 0. Let r be (48\/10)\/(k\/20). Let z = 0 - -6. What is the greatest common divisor of r and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8125 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)\/(74\/60). Let j = 108\/407 + m. Find the common denominator of 22\/9 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19c + 11201?\nAnswer: 1139d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - 17 - 4 - ((-11 - -17) + -21 - -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-1)\/16)\/((-433)\/1732).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*f = 117, -13 = -3*i - f + 54. Calculate the remainder when i is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = 41 + 4. Is (-889 + l)\/(6\/(-12)) - 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxe when three letters picked without replacement from {t: 4, e: 1, g: 1, x: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 2. Suppose f + 0 = -4*h + 2, 4*h + 22 = -5*f. Let o(a) = -2*a - 3. Let b(y) = f*o(y) + 11*k(y). What are the prime factors of b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 873.62 - 10.32. Round a to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424614, -424613, -424612, -424611, -424610, -424609?\nAnswer: -424608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -44170955 divided by -3\nAnswer: 44170955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -665?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 33678962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-1 + 3 - 1)*(2*i + i + i) + 190031 - 70*i - 190031.\nAnswer: -62*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -300.9746 + 1047.04371. Let s = i + -787.0697. Let c = s + 41. Round c to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*s - 46, 6 + 14 = -5*s. Suppose -3*x = -w*x. Let f be 0 + 3 + -1 + 2. Put -5, f, x in decreasing order.\nAnswer: f, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -24*k**2. Let d(p) be the third derivative of 8*p**2 + 0*p + 0*p**3 + 0 + 1\/24*p**4. Calculate d(m(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + -ba?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*i = -4*i - 9, 4*t - 2*i - 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -5*c + 349. Let z be ((-27)\/(-12))\/(9\/c). Let x be (z\/10)\/((-6)\/(-20)). Is x at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 338?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -68*n**3 + 46*n**2 + 2*n. Let w(g) = -g**3 - g**2 + g. Let j(h) = -p(h) + 2*w(h). Find the third derivative of j(r) wrt r.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjq when three letters picked without replacement from jqqqjq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248 divided by -124.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*b**2 + 142*b**2 - 441*b - 450*b + 895*b to t*b**2 + g*b + p and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37347205.\nAnswer: 5, 7, 1067063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 5*o - 14, 5*y - 2*o + 0*o + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - 44\/6. Let s(o) = 5*o**3 + 11*o**2 - 2*o + 4. Let m(q) = 14*q**3 + 32*q**2 - 5*q + 13. Let d(z) = 4*m(z) - 11*s(z). What is d(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229.7*97749.\nAnswer: 22452945.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 388?\nAnswer: -116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39957)\/12*-1 - 8\/(-32). Let x = -2302 + m. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 3*c**4 + 0*c**4 + 2*c**2 - c**3 as p*c**2 + g + f*c**4 + y*c + l*c**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - r. Let g be 210\/49 - 2\/7. Let v = 2 - g. Is i(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*t**3 + 1050935955593*t - 1050935955593*t.\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 3*g - 17, 3*j + 0*j + 3*g = 15. Let q(d) = -54*d - 2053. Let l be q(-38). Sort j, l, -3 in increasing order.\nAnswer: -3, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + 7. Suppose -4*l - f = -67. 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: Let b(m) = 2*m**2 + 2*m + 1. Suppose -t + 5 = 5*w - 20, -5*w - 4*t = -40. Let s be 1\/(-1 + w\/8). Determine b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, m: 10, x: 4}. Give prob of sequence mt.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(1\/(-4)). Let s be 2 + (4\/(-2))\/2. Let h be 3*2\/3*s. Solve 2 - 29 = 3*q + 5*v, -a*v = h*q + 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 117831*m - 1296123. Give o(-11).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30405717535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 2715556.\nAnswer: 19008892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -5, 1, -1, 310?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(3 - 1)\/(6\/(-1659)). Suppose 7*x - 420 - n = 0. List the prime factors of x.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7097*f = -7101*f - 36 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 76*t + 10 + 5*t**2 - 4*t**2 - 19 in the form w*t**2 + b*t + y and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 3, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-660)\/2860*(-6)\/8*8\/36.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -73, -292, -663, -1192, -1885, -2748?\n\"Answer: -f**3 - 70*f**2 - 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7503257 is divided by 577171?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325757803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448.34 decades in years?\nAnswer: 14483.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901412791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 - 160*i**2 - 30*i + 1058. Determine k(-53).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 481*m**3 - 6*m**2 + 477*m**3.\nAnswer: -4*m**3 - 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 131*m + 2 = -130*m, -5*m + 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o + 1. What is k(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 2*r + 31, -2*r + 7 = 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, 4.\nAnswer: -3, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 6. Suppose -4*k = 18*k + 7062. Let l = -325 - k. What is u(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 573627661?\nAnswer: 573627661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -358*a**2*o**3 - 95*a**2 + 5*a*o**3 - 20986077*o**3 wrt a.\nAnswer: -716*a*o**3 - 190*a + 5*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1199 = -11*h + 407. Let b = h - -334. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2620)\/36 - (-2)\/(-9). Let h = a - -113. Suppose h = 3*x - x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-8) + (-3)\/6. Suppose 3*a - 397 - 236 = q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + -66.074. Let s = -1775.126 + 1764. Let r = s + u. What is r rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/(-8 + 2 - -3 - -2). Suppose -4*s + 2*s = -p. Does 27 divide -4 + 0 + 4 + s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 18687?\nAnswer: -18684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.713096 litres?\nAnswer: 6713.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z + 11. Let f(d) = 2*d**2. Give f(l(o)).\nAnswer: 8*o**2 - 88*o + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*v - 21*v - 10*v + 81*v - 20*v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -46*d. Determine z(-2).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 984773942 to the power of 1\/4, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/28 (b) 10 (c) 9 (d) -4 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*215\/731 - -10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10145*o = 9355*o + 97960 for o.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52577614*d*z + 56856628*d wrt z?\nAnswer: -52577614*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z - 2 + 2)*((0 + 4 - 6)*(2608 + 2490 - 4509) + 4 - 3 + 1) to the form x*z + o and give x.\nAnswer: -3528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 468059339?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3069*s + 742617. What is y(242)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 12 + 1 - 9 - 2*x.\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 18*t**2 - 7*t - 10. Determine h(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22 (b) -4 (c) 2\/6987 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2 - 15*w - w**2 + 10 + 2*w. Let l be v(-14). Let n(q) = q**3 - 1. Let m(t) = -3*t**3 + 3*t**2 + 2*t + 5. Let r(b) = l*n(b) - m(b). Determine r(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*z - 4, 5*j = 4*z - 38. Let n be 71\/2 + 9\/j. Is (n - (0 - -3)) + 1 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2363334 is divided by 3687.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*a**4\/11 + 309380*a**3\/11 - 687574*a**2\/11 + 446936*a\/11 - 68760\/11 = 0. What is a?\nAnswer: -17190, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6332*h**2 + 4 + 1844*h**2)*(6 + 11 - 4)*(0*h + 0*h - h**2).\nAnswer: 58344*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 + -4 + -2 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*q - 190*q + 11 = -3*m, -3*m - 5*q + 29 = 0. Solve -24*c - m*c - 4*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a - 4*a - 925 = 0. Suppose a*n - 6305 = 12*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**4\/6 + 3*c**3\/2 - 2*c**2. Let p be o(6). Is 4 a factor of 1\/(-2)*2 - p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0220275 nanograms to kilograms.\nAnswer: 0.0000000000000220275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*z + 646*z + 22 = -2*m, 28*m + 5*z = -147 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 335610 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111 + -10100111?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 + 2*h + 10. Let t(f) = -9*f**2 - 3*f - 16. Suppose -18 = -3*c - 42. Let y(u) = c*x(u) - 5*t(u). Let n(z) = -2*z. What is n(y(k))?\nAnswer: 6*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**5 - 3*a**5 - a**5 + (0*a**4 - a**4 + 0*a**4)*(2*a - 5*a + 2*a) + 6*a**5 + 12 + 6 - 19.\nAnswer: 8*a**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - s - 3)*(-2 - 1 + 2) + s - 2*s + 7*s)*(-7*s - 5*s**3 + 7*s).\nAnswer: -35*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 14*f. Let t(g) = g**2 + 8*g - 8. Suppose 3*y + 18 = -9. Let u be t(y). Is 7 a factor of n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7936 + -0.2064. What is the second smallest value in -9, b, 0, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 485, 1341, 2497, 3947, 5685, 7705, 10001?\n\"Answer: -p**3 + 156*p**2 + 395*p - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - b93?\nAnswer: -b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 4*r + 2*r + (4 - 4 + 3*r)*(2 - 3 + 0) - 483*r - 517*r + 1133*r)*(4 + 2 - 4).\nAnswer: 262*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8164*p**2 + 5*p**4 - 35*p**3 + p + 4083*p**2 + 4084*p**2 - 3*p**4 to r + y*p + q*p**3 + b*p**4 + k*p**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(595\/2397) + 20.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 209 - 26947132.5\nAnswer: -26946923.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:52 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104421 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 564761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1\/28)\/(4655\/(-4655)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8414 - 17645. What is q rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07122 and 0.1473?\nAnswer: 0.07608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 5 = 19. Let c be (1\/2)\/((-1)\/10). Sort c, m, 0 in descending order.\nAnswer: 0, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -1, 3 in ascending order.\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 3*q**2 - q - 4. Give d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 + 264*t\/5 + 104.\nAnswer: 2*(t + 2)*(t + 130)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 844091990 divided by -5\nAnswer: -168818398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290928\/(-608)*16\/6*-1 is divided by 183.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9027.64 * 2\nAnswer: -18055.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*l + 6 = -63*l - 122*i + 126*i, -4*i = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1061 and 1?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 29 = -94. Calculate the remainder when g is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(11) - (sqrt(11) + -2*sqrt(1331)))*1)**2.\nAnswer: 5\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 6. Let u be v(-6). Suppose u = 4*f - f. Suppose -62 = -4*s + 2*a, 3*s = -f*s - 4*a + 19. Solve -3*k = -t + 3*t - s, -k = -1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 9. Let q be s(0). Let t = -2 - q. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + (0 - (0 + -4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 12:42 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 43*r + 0*r - 32*r.\nAnswer: -75*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.92, 2, 5, 1.76 in decreasing order.\nAnswer: 5, 2, 1.76, -2.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.066 and -0.226?\nAnswer: 0.014916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53\/141 - 2\/47. Let o be 4\/6 - 2\/6. Factor o*k**3 + s*k**2 + 0 + 0*k.\nAnswer: k**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 - 3*k**2 - 3*k + 4*k**2 + 0*k**2)*(4449*k - 8950*k + 2570*k) to the form p*k**4 + v*k**3 + c*k**2 + l + s*k and give v.\nAnswer: -1931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f**4 + f**4 - 4*f**4 + (6*f**2 - 6*f**2 + 4*f**3)*(-6*f + 0*f + 4*f).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43774777 (base 8) in base 6?\nAnswer: 534123315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 2\/121, -1\/4, 0.221.\nAnswer: -2, -1\/4, 2\/121, 0.221, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35*(76\/(-20) + 3))\/1. Let z = q - -31. Suppose 25 = -4*s + 33. Solve s + 1 = -z*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246598551 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 7. Let x be 11 - (0\/(-2) - -2). Let t = 15 - x. Calculate h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2414, -0.21, 7?\nAnswer: 0.2414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35066 - 35049. Solve 492 - 611 = u*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -8*i - 50 - 5, -3*f = -4*i - 25 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-2 - -2) - ((119 - -41) + -162)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2025, 4048, 6071, 8094, 10117?\nAnswer: 12140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*a = 4*a - 12, 3*a - 9 = 0. Suppose 8*k = 5*k + 33. Suppose 0 = k*f - 6*f - 30. Calculate the least common multiple of q and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.162852686 and -30.46?\nAnswer: 30.622852686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*y + 4*a - 48 - 12, -18*a = 3*y - 120 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 19323 + 4132. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 47 = -7. Let q be (-4)\/n - (-4)\/10. Suppose 4*f = -q*f + 220. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.145 and 0.5.\nAnswer: -0.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406397 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**6 - 189356*z**5 - 4459836*z**2?\nAnswer: -120*z**3 - 11361360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2035 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 2574?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 = 4*x + 110. Is 227 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/(-4)*(18\/21)\/((-33)\/(-168212))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(2 - (-12)\/(-8)) + -1. Let y be (-4)\/(19 - 3) + (-993)\/(-4). What is the greatest common divisor of r and y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*x**3 + 171*x**3 - 169*x**3.\nAnswer: 599*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 22 + 14 + 9)*(24*b - 5*b + 29*b) in the form h + o*b**2 + z*b and give z.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-one halves of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byybybbbbb. Give prob of sequence yyyb.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 960 divided by -20\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161137742 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 3. Let x = 1 - b. What is the least common multiple of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27918, -55849, -83788, -111735, -139690?\nAnswer: -167653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*o**3*v**2 + 439*o**3*v - 2*o**3 + 2*o**2*v**2 + 2*o**2*v - 276*o**2 - 3*v**2 wrt o?\nAnswer: -84*v**2 + 2634*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((420\/35)\/(-12))\/((-645)\/30)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 11*v - 570 = -84*v. Solve 2*i = -v*i + 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -3*j - r - 4*r, -10 = 5*j + 128*r - 133*r for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*y**2 + 0 + y**2 - 5*y**2 + 3*y**2 + (-y + 0*y + 0*y)*(1 + 2*y - 1) + 41*y**2 + 2*y**2 - 5*y**2 + (-1 - y + 1)*(0*y + y - 2*y).\nAnswer: 38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.4 - 12.34. What is c rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1919155*b*q - 31288*b + 60 wrt q?\nAnswer: 1919155*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4559301 rounded to 3 dps?\nAnswer: -4.456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-567)\/18)\/((-6)\/16). What is the highest common factor of 24 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 = 13*z + 24. Let h be (z\/14)\/(-3) - 318\/(-7). Solve -48*i = -h*i - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*f - 209*f + 43*r = 272, 4*f - 36 = -3*r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5513 + -5712. Which is bigger: -198 or z?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 67*i**2 - 594*i + 171. Does 155 divide b(76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -865, -3442, -7759, -13834, -21685?\n\"Answer: -3*y**3 - 852*y**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 60*c + 58*c + 7912 = 0, d = -3*c + 1585. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 797 = 4*r - 967. Calculate the highest common divisor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1194 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*q - 8 - 8 = 0, -2*c = -5*q + 5. Let t be ((-1)\/2*-2)\/(-6 + 1). Let i = -0.1 + 0.2. What is the closest to i in t, c, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvpvvvvvvvp. What is prob of sequence vvpv?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 24, 1, -58, -165, -332?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**4 - 720*l**2*r**2 - 9*l*r**2 + 3*l*r - 46*r**2 wrt l?\nAnswer: 24*l**2 - 1440*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = b + l, -4*l - 30 = -b - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1050 and 154?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 3*i**3\/2 + 27*i**2\/2 + 87*i. Let s be w(-3). Is -4\/49 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1424, 2842, 4260, 5678, 7096?\nAnswer: 8514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1200*i + 215*i - 20705 = 37137 + 62433 for i.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((54\/15)\/3)\/(6\/20). Suppose 98 = -4*w + 9*w + 4*x, 3*w - 78 = k*x. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942*k + 167670 = 516*k for k.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 875661\nAnswer: 5253966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2475 and 106084.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/17 + -62\/153. Let w = 2\/9 - x. Which is the biggest value? (a) w (b) 0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2983391.\nAnswer: 863, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 14, w: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 335 + -330. Suppose -2*g = -3*g - 4, -j*a + 5*g + 600 = 0. Is a >= 116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*s + 2*h + 5269, 1070 = s - 5*h. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -12*u - 5*u + 18*u. Let b(d) = -22*d**2 + 6. Give c(b(t)).\nAnswer: -22*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36367 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*s - 96*s - 15. Which is greater: -11\/12 or s?\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 - 38*t**2 + 9*t**2 + 4*t**2 - 191 + 12*t**2 - 263.\nAnswer: -t**2 - 454","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166416 is divided by 856.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13980 divided by -10\nAnswer: -1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m - 1 + 0 + 2. Is 17 a factor of o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 862 - 12?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 + -94 + (12 - -1) + -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**4 - 98751186*a - 175748234.\nAnswer: -4*a**3 - 98751186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let k = -2 - -6. Let t be (1 - b)\/(k\/6). Solve -5*s - 5 = -5*m, t*s + m + 2*m = 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4\/4 + 7*s**3\/3 + s**2\/2 - 3*s + 3. Let o be p(7). Put -4, -5, o in descending order.\nAnswer: o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 - i + 0 - 4*i + 6*i. Suppose n = 5*l - 12, -2*n + 4*l = n + 25. Let u = n + 7. Give d(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 13*b - 1. Let a be b*(-12)\/(-42) - (-228)\/14. Calculate the greatest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1, 21, -637, 0 in descending order.\nAnswer: 21, 1, 0, -1, -3, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-24)*(8 + 1) + 14. Calculate the greatest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, v: 4, n: 11}. Give prob of picking 2 w and 1 n.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) 2 (c) -4 (d) 35 (e) -38 (f) -17 (g) -62\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veegfeffev. What is prob of picking 2 v and 1 f?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-18)\/15*(-76 - -5)\/((-6)\/(-30)) is divided by 114.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 83.19585ng?\nAnswer: 0.08319585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -19. Suppose 10 = 3*v - 5*n, -4*v - 3*n = -d*n - 18. Suppose -20 = 5*x - 125. Solve -3*r = -7*r + 3*o - 18, v*r - 3*o = -x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 16*d**2 + 16*d - 7. Let l = -346 - -361. What is r(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 826895.2l?\nAnswer: 826895200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193 - -108. Let p = 133 + d. Let i = -47.999946 + p. What is i rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89005, -178009, -267013, -356017, -445021?\nAnswer: -534025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 5*q + 5. Let u be (2\/4 - (-2)\/(-12))*2. Let d(r) be the second derivative of 0 - 2*r**2 - 4*r - u*r**3 + 1\/12*r**4. Give -3*b(h) - 4*d(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -27*f**2 + f. Let w(b) = 90*b. Calculate w(k(t)).\nAnswer: -2430*t**2 + 90*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b**2 + 4*b. Let x be ((-45)\/10)\/(42\/(-28)). Let w(i) = -7*i**2 - 3*i. Calculate x*u(n) + 4*w(n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14418, 57713, 129880, 230925, 360854, 519673, 707388, 924005?\nAnswer: 1169530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 4*p**2 + 4*p - 3. Let q be y(-5). Let i = -6.6 - -7. Sort i, -2, q in ascending order.\nAnswer: -2, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 597771.\nAnswer: -13\/597771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 + 5*l**2 - 3*l - 5. Let k(t) = -7*t**3 + 11*t**2 - 7*t - 11. Let g(j) = -5*c(j) + 3*k(j). What is g(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*a = -308, -11984 = -150*n - 107981*a + 107977*a for n.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (52\/(-10))\/(1\/(-50)). Let b be -3 - (k\/(-36) - -2). Let -2\/9 - 8\/3*x**2 - 2\/3*x**4 - b*x**3 - 4\/3*x = 0. Calculate x.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -9. Let k(m) = 17*m + 135. Let h be k(-7). Is h < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 19*b**2 - 43*b + 23. Let k be j(21). Suppose k*f - y - y - 3512 = 0, -3513 = -2*f + y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64572 is divided by 315.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 843, 839, 835, 831, 827?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -440.022?\nAnswer: 2640.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, k: 4, s: 1, l: 1, b: 1}. What is prob of sequence kdd?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*c = -68, 3*c - 111 = -5*o - 39. Suppose 25*u - o*u = 39. Solve -5*d = -u*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/8 + (-2)\/(-8). Let z(g) be the second derivative of l*g - 1\/6*g**4 - g**2 + 0 + 0*g**3. Differentiate z(d) with respect to d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 53*l**5\/6 - 7297*l**4\/24 + 3*l**2 + 12*l - 15. What is the second derivative of w(j) wrt j?\nAnswer: 1060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -118 - -67. Let p = i + 52. Let k(n) = 56*n. Let x(q) = 3*q. Let j(a) = 4*k(a) - 77*x(a). Give j(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91214777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (975\/(-170))\/(-15) + (-6)\/(-51)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 379\/8. What is the biggest value in b, 2\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2468744 - 3*r**2 - 151*r**3 - 2468744.\nAnswer: -151*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 775451\/44 - 17623. Let v = -5843\/24 + 243. Find the common denominator of v and j.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48303*l**2*w - 119*l**2 - 2*l*w - l - 106762753*w wrt l.\nAnswer: 96606*l*w - 238*l - 2*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18168 and 152472.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*a + 38. What is the greatest common divisor of 19 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112223031 (base 4) to base 11.\nAnswer: 63864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3810*t**6 + t**4 - 35896*t**2 wrt t?\nAnswer: 457200*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113\/415 - 6\/83. Let c be 17\/5*(11 - 221\/26). Which is bigger: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**2 + 16*f - 22. What is the hundreds digit of q(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8434.672 minutes?\nAnswer: 506080.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*m + 10259 = 0, 94*y - 5*m + 6871 = 96*y. What are the prime factors of y?\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 124. Let c(q) = 7*q**2 + 4*q. What is c(o(w))?\nAnswer: 28*w**4 - 3464*w**2 + 107136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -16521\nAnswer: 4\/16521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 502964 and 58646?\nAnswer: 29674876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 22 = -q - 3*l, 3*q = -5*l + 86. Suppose -3*y - 12*y = 1350. Let x = y + 125. Is q smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854\/((-581)\/(-83))*(-3)\/6?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2)*i**6)**(14\/11)\/((((i**(-2\/3)\/i)\/i)\/i)**(-38)*i*i**(-1\/12)\/i*i*i*i**(-2)*i) assuming i is positive.\nAnswer: i**(-5751\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 44*f**2 - 44*f - 25. Let t be n(-43). Let h be 288\/30*((-12)\/t)\/(-2). Determine r, given that 12\/5*r**3 - 2\/5*r**4 - 24\/5*r**2 + h*r + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -111, -104, -83, -42, 25, 124?\n\"Answer: v**3 + v**2 - 3*v - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:25 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/2)\/(-14*5\/(-140)). Sort 9, 2, u, -1 in ascending order.\nAnswer: u, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 36.9. Let f = -0.3 - -1.3. Let c = f - l. What is the smallest value in -2, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*n)*(20*n - 13 + 13) - 6*n - 20*n**2 + 6*n.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 38. Let b(l) = l - 3*l + l + 24. What is the smallest common multiple of 30 and b(s)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*l - 6736 + 6750 = 0, -3*j + 21 = -7*j + 3*l for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4\/(-12)*222*(-315 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z**2 - z - 12. What are the prime factors of p(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/660229239?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 5*d + 43 - 133, 2*j + 3*d - 41 = 0. Calculate the remainder when 62 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 274 + -292. What is the units digit of (-42)\/(-189) + 166*(-17)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 371\/((-18660558)\/664)*(-9)\/4?\nAnswer: 3\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 1, e: 2, i: 1, v: 2, p: 1}. Give prob of picking 1 e and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 = -2*s + 2*j, 4*s - 463 = j + 570. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*z + 120*z = 455328. Calculate the greatest common factor of z and 432.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11712 - -23425\/2. What is the closest to v in 4.822, 1, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvfbbfjfvbavbjcvfac. Give prob of sequence bjv.\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 158383, 158378, 158373, 158368, 158363?\n\"Answer: -5*c + 158388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*n + 33. Let p be (n\/1)\/((-9)\/(-963)). Suppose -5*w + 0*w + p = 0. What is w rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2446208638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 times -1937?\nAnswer: -1181.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9023\/76 or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 741026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bib when three letters picked without replacement from libllpjpilbp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*d - 3 + 6 = 0, 2*k + 6 = 4*d. Let u be ((-76)\/(-16) - 2) + k\/4. Solve 0 = -3*b + 9*l - 7*l + 3, 0 = 4*b - 2*l - u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**3\/3 + 9*u**2\/2 + 8*u + 2. Suppose -a - 4*a + 120 = 0. Suppose a*f = 15*f - 54. Calculate s(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19518724*b**2 + 17672*b + 4.\nAnswer: 4*(2209*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648035793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 9*h**2 + 23*h + 14. Let j be c(11). Solve 2*z - 35 = -5*n, -n - 2*n = 2*z - j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183318 is divided by 3535.\nAnswer: 3033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 12:56 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8243633 + -1?\nAnswer: -8243634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3 = 5*r, -u = u - 4*r + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -247*u - 32*u - 78*u. Let a(y) = -y. Determine a(p(x)).\nAnswer: 357*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1511*p + 14. Let l(f) = 1889*f - 17. Determine 11*g(r) + 9*l(r).\nAnswer: 380*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 147\/255167 or -1?\nAnswer: 147\/255167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 28. Let w = 28 + o. Calculate the lowest common multiple of 2 and 1177\/66 + w\/(-2 + 8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**3 + 51*u**2 - 67*u - 19. Let v(r) = r**3 + 13*r**2 - 17*r - 5. Let i(p) = 2*k(p) - 9*v(p). Let w = 25 + -11. List the prime factors of i(w).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/68166 and -2\/184779?\nAnswer: 199930878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -854 + 1208. Suppose h - u = 5*r, h = -r - 2*r + 362. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6673465.\nAnswer: 5, 19, 199, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110 + 485357.\nAnswer: 485247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - (-28)\/8. Determine y, given that 3*y + 2*y**2 - 3*y**2 + 2 - w*y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*c = -138 + 188, -2*u + 14 = c. Let r = 22 + -18. Solve -u*b = -r*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-42)\/(-133) - 70102837\/(-361) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 - 10 - (-1065)\/4. Let w = c + -273. Suppose 1\/4*q + 1\/4 - w*q**3 - 1\/4*q**2 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 35 - (-3)\/((-6)\/8). Let g = m + -29. Let k(n) = 2*n**2 - n - n**g + n. Let u(c) = -8*c. Calculate k(u(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**2*z**3 - 7*b**2*z**2 - 799*b*z**3 + 66*b*z**2 wrt z.\nAnswer: 6*b**2 - 4794*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0, 5, -4\/7 in decreasing order.\nAnswer: 5, 0, -1\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2. Let u(g) be the first derivative of 823*g**3 + 360. What is k(u(o))?\nAnswer: -6095961*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 - (217 + (-6 - 115)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 549195841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 44454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 31905728*-5\nAnswer: -159528640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1460 in 0.4, 0, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.37 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 20 = 100. Let v = 253 - p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(432))**2 - (sqrt(30) - (-3*sqrt(1920) - sqrt(30)))\/sqrt(10).\nAnswer: -50*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9791695 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39\/5 - -8. Let z = 6 - 3. Suppose -2*d + m - 1 = z*d, -d + 2*m + 7 = 0. Which is greater: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 120, 92, 18, -126, -364, -720, -1218, -1882?\n\"Answer: -4*x**3 + x**2 - 3*x + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 4*f - 7. Let w = 47 - 41. Let s be (22\/(-1))\/(0 + -2). Let j = w - s. Determine k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-5\/4)*f**(2\/15)*f*f**(-1)\/f**(-2\/5) assuming f is positive.\nAnswer: f**(167\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/58233 and 20\/274527.\nAnswer: 1921689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4573*f - 2287*f + 10 = 2288*f, -13*w + 2*f = 3*f - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127474 + 488947. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*r - 10 + 21*r - 2*r + 22*r)*(-1 - 7 + 4).\nAnswer: -404*r + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/512490 and 39\/7.\nAnswer: 3587430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:52 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16633466 (base 7) in base 14?\nAnswer: -3092dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 6 = -86. Let m(g) = g**2 - 9*g + 10. Let k be m(8). Let j be (3 + -6)*k*(-21)\/9. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2386 + -2401. What is the third biggest value in -5, f, 0.31?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + p. Suppose -2*c - 2*c - r + 29 = p, 0 = -4*c + 5*r + 47. Let k = -13 + c. Put 3\/2, k, -1\/10 in ascending order.\nAnswer: k, -1\/10, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3300 - -3306. What is the highest common divisor of u and 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*d - 35, -2*h + 12 = 2*h. What is the remainder when d is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from wwhwhhhwhhhwhwwh?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*g**2*t**3 - 15*g**2 + 8*g*t**4 - 3*t wrt t?\nAnswer: -258*g**2*t + 96*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -3) + 0 + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 + 40*f**2 - 22*f**2 - 24*f**2 - 13*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 307764421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + 12)*2\/4. Let t be (-20)\/(-9) + 2\/(-9). Find the second derivative of -2*y**t - 2*y**2 + 4*y**u - 3*y - 2*y**3 wrt y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.5 (c) 20.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521215?\nAnswer: 5, 104243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/8 + 162\/216. Solve h + l + 3*l = 9, -5*h + 21 = -n*l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**2 - 2*u**2 + 6*u**2)*(u + 4*u - 4*u) - 819*u - 85*u**3 + 819*u + (-1 + 1 + u**2)*(-u + 2*u - 3*u) + u**2 - u**2 - u**3 - u**3 - 4*u**2 + 4*u**2.\nAnswer: -79*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -2. Suppose 0 = 3*f - 5*f + 46. Let o = f + n. Calculate the least common multiple of 14 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -55. Suppose 0 = o - 2*z, -2*z + f = 3*o - 0. Let 1\/5*t**4 + 1\/5*t**3 - 3\/5*t**o - 2\/5 - t = 0. What is t?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1 (b) -80 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3979\/2 + 1905. Is q bigger than -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1748, -1747, -1746?\nAnswer: -1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3663.6 and 30.\nAnswer: -3633.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 318.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f = -36. Let m = f - 1. What are the prime factors of m?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*g + 8872 + 4435 + 5514 - 182 = 0 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 - 193*x + 60. Determine l(32).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 1848?\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 6*w**2 - 7*w + 3*w**2 to the form x*w + v + z*w**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -23, -28, -5, -141, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x + 21. Give w(-17).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4210*i**5*q - 4*i**4*q - i**2*q + 60852*i**2 wrt i.\nAnswer: -252600*i**2*q - 96*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68777 is divided by 3526?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcqh when four letters picked without replacement from {c: 1, k: 1, h: 1, j: 1, q: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/291 or 1?\nAnswer: -7\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 a, and 1 e when four letters picked without replacement from {a: 2, f: 1, e: 2, o: 9}.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 327 and 25832019.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.129\nAnswer: 0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 27 in descending order.\nAnswer: 27, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b - 4*h - 12, -h - 3 = -2*b. Suppose 4*z - 143 + 51 = b. What is the remainder when 86 - -3 - (-1)\/(-1) is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 73*t + 20. Determine s(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51216 is divided by 25584?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 95\/2 of a tonne?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (340\/(-765)*27\/2)\/(10\/(-60))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7440, 1, -2, 4, -1, -209, 0 in descending order.\nAnswer: 7440, 4, 1, 0, -1, -2, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*z, 5*i - 495 = -4*z. Calculate the remainder when i is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*h - 2*m, 6*m - m = 3*h + 6. Calculate the least common multiple of h and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5 - 5 + 2*i + 1. Let y(h) = h - 5. Suppose 5 = 3*l - 1. Suppose 11 = -v + l*v. Give v*y(k) - 6*c(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -4.04. Let y be 0 - 0\/(12\/(-3)). What is the closest to y in 2\/21, l, 1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -221*k - 160*k - 56*k - 44*k in the form s*k + z and give s.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6\/47, 2\/11, 11 in descending order.\nAnswer: 11, 2\/11, -6\/47, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6682 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 4*b + 5. Give n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(12\/2016*28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -12058*l - 9417284. Determine b(-781).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 7*i. Let n(b) = 51*b. Let k(x) = -30*x. Let m(s) = -5*k(s) - 3*n(s). Calculate m(q(f)).\nAnswer: -3*f**2 - 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22202022001102 (base 3) to base 8.\nAnswer: 21574062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3*a - 4)*(0 + 5 - 3)*(-2*a - a + 7*a) as c + m*a**2 + s*a and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = 3*a, 0*p - p + 28 = 2*a. What is the lowest common multiple of 168\/p + 2\/(-5) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = 0. Suppose o = j + 5*j - 162. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1803*y + 1803*y + 266*y**3 + (-2 + 2 + 2*y**3)*(5 + 5 + 0).\nAnswer: 286*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1744695811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*u = 20, -4*m + 17 - 29 = 3*u. Sort m, -5, -426 in decreasing order.\nAnswer: m, -5, -426","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 63 = -3*r - 13, 3*t - r = -2*t + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27db0 (base 15) to base 11.\nAnswer: -88162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*y = 5*b - 95*y + 3, 3*b - 3 = 3*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 11*y**2 - 17*y + 5. Let r be 11*(3\/(-6) + 1)*-2. Does 25 divide x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + 0 + sqrt(500) - (sqrt(500) + (sqrt(500) - 1*sqrt(500))*5)) + ((sqrt(500) - -2*sqrt(500)) + 3 - 6*sqrt(500)*-2))**2.\nAnswer: 2700*sqrt(5) + 112581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*h + 54*h + 36 = 4*b, 2 = -2*b. Put 12, -5, -4, h in decreasing order.\nAnswer: 12, -4, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277 + 314. Suppose 33*h = j*h - 1344. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**24)\/t*t**(2\/13)*t*t**(7\/9)*t*t*t**29*t assuming t is positive.\nAnswer: t**(1279\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**6\/9 - 38*o**5\/15 - 137*o**4\/6 - 626*o**3\/9 - 296*o**2\/3 - 200*o\/3 + 176. Let i(m) = 0. What is m?\nAnswer: -2, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11574 or -11582?\nAnswer: -11582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (sqrt(52) + 1)**2) + 1 - -2*-2*sqrt(117).\nAnswer: -52 - 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4)*(4 - 2 - 5)*(-6*c - 4*c**2 + 6*c)*(-3*c**3 + 5*c**3 - 4*c**3).\nAnswer: 96*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13904, 13891, 13866, 13823, 13756, 13659, 13526, 13351?\nAnswer: 13128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c + 3*c)*(-c + 341*c**2 - 142*c**2 + 449*c**2).\nAnswer: 2592*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -2*b - 5, v = 4*b - b - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44.79 - 45.29. What is the closest to -3 in g, 4, -2.4, -3\/2?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8510 - -8510.04. Which is the nearest to 0? (a) 1\/10 (b) 0.5 (c) t (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-5)\/(-80)*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 387147*t + 2322860. Determine k(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -22. Let k = -20 + 8. Let z = -7 - k. Solve -z*f + 2*f = -x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 5*z**7\/42 - 329*z**6\/6 + 26895*z**5\/4 + 45375*z**4\/4 + 1208*z - 5. Let i(n) = 0. What is n?\nAnswer: -1, 0, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 7167138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a meter in centimeters?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 71*q + 1998, -10*w + 15*w = -5*q - 150 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 = 2*d - 3, 3*d - 2*z = 2. Let o be ((-10)\/(-8))\/((-1)\/(-4)). Let q be -1*(-1)\/2*-2. Sort d, o, -3, q in ascending order.\nAnswer: -3, q, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23155*x**2 + 28940*x**2 + 107198*x**2 + 21245*x**2.\nAnswer: 134228*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16840 = 5*o + g, 64*o - 3*g = 62*o + 6719. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2294*j + 11 = -2283*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = 0, 6 = -4*z + 3*k + 32. Solve 0 = -0*t + 2*t - z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 390 - 232. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1555046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 12*w - 5 + (w - 1 + 1)*(3 + 2 - 7) - 2 - w + 2.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.2, 2\/25, 6\/13, 243, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 2)*-3*(-108)\/81. Sort 3, d, 1 in ascending order.\nAnswer: 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(15)*-3)\/((sqrt(500) - sqrt(500)*-2) + sqrt(5)).\nAnswer: -6*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*j + k, -k + 3*k + 14 = 4*j. Suppose 2*l = 4*s + 10 - j, 5*l = 3*s + 15. Put 10, l, 1 in decreasing order.\nAnswer: 10, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*l**5 + 927*l**4 + 5*l**3 - 7*l**2 - 148*l + 1276 wrt l.\nAnswer: -780*l**2 + 22248*l + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3536114 (base 7) in base 12?\nAnswer: 19633b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - w**2 + w + 3. Let x be o(0). Suppose -x*j = -5*j + 2. Suppose -5*k = 5*d, k = -2*d - 1 - j. Solve 4*n + k*m - 14 = -0*m, 20 = 4*n + 4*m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1\/353767 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-426)\/240*(-2 + -2) + (-10)\/(-25).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(((g\/((g*g*(g**(-5\/8)*g*g)\/g*g)\/g))\/g)\/g))\/(g**(-4\/23)\/g)*(g\/(g\/((g\/(g*g**(-1\/39)))\/g*g))*g)\/(g\/g**24) assuming g is positive.\nAnswer: g**(219403\/7176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 6) in base 3?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2412 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*(sqrt(425) + -2))**2 + -1)*-2.\nAnswer: -107248 + 5000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 294 = 3*r, 5*r - 450 = -0*j - 5*j. Let c = 132 - r. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71884 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 5*l + 6. Let n be 4 + -8 + -1 - -6. Suppose -n - 6 = s. Calculate w(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 28121*y + 478082. What is f(-17)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14710257 - 3.\nAnswer: 14710254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -23. Suppose 2*f = 4*f + 4*w - 2, -5*f = 2*w + 19. Let t = f + b. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29455000 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*80551.\nAnswer: -2094326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2*s*s)\/(s**(-2)\/s))**(10\/11)\/((s**(-1\/4))**44*(((s\/(s\/((s**(-1)*s*s)\/s)))\/s*s)\/s)**(-5)) assuming s is positive.\nAnswer: s**(136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21230213 (base 4) in base 3?\nAnswer: 2000111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12 + 9 - (4 - 1)) + -3. Suppose 0 = -j*k + 16*k. Let -6 + k - 3*s**2 + 0*s**2 - 9*s + 0 = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r - 5. Suppose r*f - 19*f - 1064 = 0. Let u = -44 - f. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4252 and -73586.\nAnswer: -77838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*(-21)\/56 - 23.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -1944*b**3 + 5*b**2 + 5*b + 1. Let x be a(-1). Let g = x + -545. Does 56 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 4. Let x be c(-1). Suppose 3 = -x*a - 6. Let y = a - -15. Calculate the remainder when 22 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1306*m**3 + 851*m**3 + 1198*m**3 + 15*m.\nAnswer: 743*m**3 + 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*s + 84*s + 196 = -386 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by -195449.\nAnswer: -47\/195449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:44 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-14))\/(240\/280)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**4 - 1930*q**2 + 1968*q**2 + 4*q**4 - 41*q**5 wrt q.\nAnswer: -2460*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 1 = -34. Suppose 0 = j + 3. Put j, -4, d in ascending order.\nAnswer: d, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 249.6397532\nAnswer: -249.1397532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-15)\/4)\/((-48)\/128). Let l be 42\/(-9)*(-18)\/12. Solve -2*j + l*j + u = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2682 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 143 + -203?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + f**3 - 8*f - 5028 + 3*f**4 + 5030 - 5*f**4 as p*f**2 + u + w*f**4 + b*f + a*f**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2919615 and -4.\nAnswer: 11678460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, m: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7.3. Let b = 3.625 - -0.075. Let s = h + b. Sort 3\/2, s, 1 in decreasing order.\nAnswer: s, 3\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -308557641*w**3 + 1035562*w**2 - 83 wrt w.\nAnswer: -1851345846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 38717.3, 3 in decreasing order.\nAnswer: 38717.3, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 14. Let g be q(-8). Suppose 4*k - g*k = -10. Suppose k*l + 0*l = 20. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10000001010000111000001 (base 2) to base 4\nAnswer: 100022013001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40412?\nAnswer: 2, 10103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62894 + 47094 = 1774*u for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v + 746. Calculate u(53).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 193 = -278. Suppose 14*h - v*h + 24 = 0. Solve -c + h = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 7*o = -8*s + 14, 4*o + 8 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19701531 and 618?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*n = 336 - 130, -2*p = -n - 100. Let x = -1557 + 1558. Suppose -50*z = -p*z - x. Calculate the highest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/3565 and 61\/5022.\nAnswer: 577530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 24*h - 26. Let i be f(9). Suppose 0 = 24*d - i*d + 20. Factor 0 + 0*c**3 - 8\/3*c**4 + 8\/3*c**2 + 4\/3*c - 4\/3*c**d.\nAnswer: -4*c*(c - 1)*(c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -3, 2 in descending order.\nAnswer: 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 23 = 4*d, 0 = -d - 2 - 0. What is the remainder when 23 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*l - 5*u - 61, -2*l - 3*u + 28 = 0. What is the remainder when l is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28391 less than -0.0179?\nAnswer: -28391.0179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 71155127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12507317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5539500 and 27143550.\nAnswer: 271435500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 + 2*r + 9. Let m(b) be the first derivative of -1\/2*b**2 - b**3 - 5*b - 75. Calculate -6*j(f) - 11*m(f).\nAnswer: 3*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c\/(c*c\/c**(3\/19)))\/c)\/((c*c**15)\/c) assuming c is positive.\nAnswer: c**(-282\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4453 (base 7) to base 15.\nAnswer: -721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + a8d4?\nAnswer: a8d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7 - 1 = 5*c, 2*b - 5*c = 4. Let m(i) = -4*i**2 + 6*i**2 + 4*i**2 + 4*i**b. Let v(u) = 4*u. Calculate m(v(f)).\nAnswer: 160*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**2 + 0*v**2 - 3*v**2 + (-74*v - 309 + 309)*(-170*v + 133*v - 120*v))*(v + v - 3*v) as i*v + s*v**2 + x*v**3 + f and give x.\nAnswer: -11620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153628817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2, -4, -3, 0 in ascending order.\nAnswer: -4, -3, -2, 0, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from lklkklkokkkokclk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*u - 34, 3*u + 31 = 4*o - 30. Let h = 31 - o. Solve -2*g - 2*d = g - 17, 2*d - h = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 11*z - 57. Determine f(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -15*s + 13. Suppose -48*x = -50*x - 10. What are the prime factors of t(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, -54, -112, -170, -228, -286?\n\"Answer: -58*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(200)*-2*3)**2.\nAnswer: 180000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + (42 - 16) - (0 - 0)) + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 7 + 7 - 4*p to f*p + j and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = 18*p - 1872. Factor -4*w + 22*w**2 - 27*w**2 - 27*w**2 - 29*w**2 - 19*w**2 - 148*w**3 - p*w**4.\nAnswer: -4*w*(w + 1)**2*(18*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.14 - -1.84. What is the third smallest value in -0.1, -2, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3265676409 a multiple of 807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 divided by -80.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -5878, 18, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1690 and -0.06757.\nAnswer: -114.1933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/8 - (-57)\/(-36)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 12:22 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, f: 1, c: 1, p: 1, o: 3, i: 2}. Give prob of sequence ocfi.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*21\/(-63)*18\/6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -1247.\nAnswer: -28\/1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 192087.78 months in centuries?\nAnswer: 160.07315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2040166 and 1684?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 + 11)*124256\/12708?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10 and (22\/21)\/((-26)\/195)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 6*z + 4*z)*(-2 + 3 + 1) - 2*z + 3*z - 3*z + 2 + z - 2 - 10 - 20*z - 33*z + 75*z.\nAnswer: 19*z - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = -6*t + 384 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o + 8 = -77*o. Calculate the remainder when 73 is divided by o - 5 - 5\/15*-66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*f**2 + 23*f**2 + 19*f**2)*(f - f + f) - f**3 - f**3 + 3*f**3.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 10:50 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 473, 596, 733, 890, 1073, 1288?\n\"Answer: q**3 + q**2 + 113*q + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3018, 3019, 3020?\nAnswer: 3021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7743*269.\nAnswer: 2082867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, b: 3, e: 7, l: 3}. What is prob of picking 1 d and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -596*y**3 - 62*y**2 + 55*y + 3. Give h(1).\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 49*l - 139*l - 2406 - 590 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154847 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141 + -53. Let h = 118 - o. Find the third derivative of h*d**5 - 1069*d**3 + 19*d**2 + 1069*d**3 wrt d.\nAnswer: 1800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 4:21 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 4*p - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3092358, -6184744, -9277134, -12369528?\n\"Answer: -2*n**2 - 3092380*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.113178772 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 41 = -5*z + 3*z, -f + 5 = 0. Let y = -14 + z. Put 0, 3, y in ascending order.\nAnswer: 0, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -18*c**4\/5 + 147*c**3\/5 + 1287*c**2\/5 + 2472*c\/5 + 252 = 0.\nAnswer: -3, -2, -5\/6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3\/4 - 53135*a**2\/4 - 1302840*a.\nAnswer: -5*a*(a + 99)*(a + 10528)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 84. Let m = -13.68 - -0.18. Let u = l + m. What is the closest to -0.2 in 0, u, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*90\/(-1134)*(-801)\/445\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 + 153. What is the nearest to -2\/9 in -0.04, t, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68529712, 68529711, 68529708, 68529703, 68529696, 68529687?\nAnswer: 68529676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.05578288 + -1569\nAnswer: -1569.05578288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-9)\/(63\/154))\/(1\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2457\/4 + -603. Let q(o) = 48*o - 1. Let g be q(-1). Let b = -388\/9 - g. Find the common denominator of w and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/93 at most 0.605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 226*a**2 + 56*a.\nAnswer: 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 - 1.3. Let j = 2.3 - 1.9. Which is the second biggest value? (a) j (b) -0.04 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 55 - 47. Let g = 4 - 7. Suppose -3 = -t + 5*u, -4*t + 2*u + 7 = -5. Sort t, g, w in increasing order.\nAnswer: w, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11730 and 11370?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/25600 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((9 - -1) + (8 - 11) + 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6021 + 6022. Let w be (-5)\/(-587)*6\/(-15). Is l > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365 plus -31411?\nAnswer: -29046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*k**2 + 17*k**4 - 5*k**4 - 6*k**2 + 8*k**2 wrt k?\nAnswer: 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(170) - (sqrt(170) + sqrt(170)*2)) + sqrt(170) - sqrt(170)) + sqrt(170) - sqrt(170)))\/((sqrt(30) + sqrt(30) + sqrt(120) - sqrt(30))\/sqrt(3)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89609216 - -29353216. Round h to the nearest one million.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4822.58 + -4806. Which is the nearest to 0? (a) -5 (b) -4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((429\/(-495))\/(62\/1395))\/((-3)\/10).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**5 - 27*p**5 - 47*p**5)*(117 - 185 + 402 - 65 + 686).\nAnswer: -72580*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 4 - -3) + (42 - (-21 - (-5 + -11))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhkkpzzkfhhnhfk. What is prob of picking 2 h and 1 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189451885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2632)\/(-423))\/((13680\/54)\/38).\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -188175*m**3 - 455. Let u(c) = -1238*c**3 - 3. Calculate -455*u(o) + 3*z(o).\nAnswer: -1235*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9706386401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(0 + 0 - 5*g) + (4 + 2 - 4)*(-2*g + 3*g + 0*g) + 4*g - 4*g + g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.2 + 7.5. Let q = -3 + j. Let p = -48556\/121365 + 2\/24273. What is the smallest value in p, q, -1\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**3*y**3 + j**3*y**2 - 3*j**3 + 670*j**2*p*y**3 + 2*j**2*p*y**2 - 3*j*p*y**2 + 40*j*p*y + 488*p*y**3 + 17*p*y**2 - 9*y**2 wrt y.\nAnswer: 24*j**3 + 4020*j**2*p + 2928*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 852815 - 852814.9658277. Let p = r - 0.0342. What is p rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8919427 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118)\/7140 + (-4794)\/285243?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011004 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, 2\/5, 0.11, 5 in ascending order.\nAnswer: -1.8, 0.11, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6390062 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 3*b**2 - 3*b - 4. Let y be z(4). Suppose -u = -y*u. Suppose -159 - 6 = -30*s - 3*s. Solve s*x = -u*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1221802591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17081.6 - -17087.6. Let o = 6 - 5. Sort l, -0.09, o.\nAnswer: -0.09, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 8*t + 13. Let c be h(9). Calculate the remainder when 6\/c*244\/6 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242 and 178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007826 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4063607581 to the nearest integer?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.3 + -939663515026?\nAnswer: -939663514997.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3852 and 90322.\nAnswer: 173960172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -o + 30. Sort -6, 0, o.\nAnswer: -6, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.19, 512, -1, -0.5, 0.1, 1, 0?\nAnswer: 512","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.77, -0.4, -7, -0.2, -16, 1\/4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 892 + -893.963. Let y = i - 0.037. Let s = -2\/3 - 0. Which is the smallest value? (a) y (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 48*b. Suppose 3*s + 28 = 5*s + 3*n, -5*s + 3*n + 28 = 0. What is the lowest common multiple of s and k(1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23937*p - 3*p**3 - 23925*p + 5*p**3.\nAnswer: 2*p**3 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.5, 1\/2, 3 in decreasing order.\nAnswer: 3, 1.5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/(10\/(-3160)). What are the prime factors of s\/(-12) + (2\/(-12))\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 21. Let r be 28\/c - 3\/(-5). Let m(v) = -v**2 - 5*v - 1. Give m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004986644546 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 55*b**2 + 204*b - 54. Calculate k(51).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72163 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.564307 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) 7\/38 (c) -0.054 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + 2 + (-53)\/(-18) and 11\/14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iisyi. What is prob of sequence isi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2 = 3*b + 2*d, 0 = 2*d - 4 - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13112 less than 2?\nAnswer: 2.13112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(72)\/sqrt(48)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 66. Let d = 3743\/63 + -77\/9. Let o = d + p. Which is the second biggest value? (a) 0 (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 266 - 281 + 5*o + o. Let w(b) = -3*b + 7. Let z(s) = s**3 + s - 9. Let v be z(0). Let m be 6\/(-12) + (63\/(-2))\/9. Give m*r(h) + v*w(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78485 (base 9) to base 10.\nAnswer: 52160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -252 + 257. Let j(a) be the third derivative of 0 + k*a**2 - 1\/8*a**4 + 0*a - 1\/20*a**5 - 1\/120*a**6 - 1\/6*a**3. Factor j(x).\nAnswer: -(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5341.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 633.\nAnswer: -5\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/7*y**3 - 4*y - 52\/7*y**2 + 0 + 4\/7*y**4.\nAnswer: 4*y*(y - 7)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2116, 2121, 2126?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -23*q**3\/3 + 13*q - 8. Differentiate k(a) with respect to a.\nAnswer: -46*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.987 less than -749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000153074 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 11*j**2 - j + 8. Give x(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i*q**3*s**2 - 102*i*q**3 + i*q**2*s + 2*i*q**2 + q**5*s - 356*q**2*s**2 + 2*q*s**2 wrt q.\nAnswer: 30*i*s**2 - 612*i + 60*q**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 228. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*m**6 + 16*m**3*s*u - 3*m**3 - 6*m**2*u - 4*m**2 - 5*m*s*u - 4*s*u wrt m?\nAnswer: 5880*m**3 + 96*s*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-980*n**4 - 162572 + 162572)*(-4 + 5 + 1).\nAnswer: -1960*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.7 + 1.3. Let z = b + -54.99999899. What is z rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/49, -2, 4\/9, -5 in decreasing order.\nAnswer: 4\/9, 6\/49, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 187*i - 187*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 4*s - 9. Let l be m(4). Let r be 7 + -3*(-12)\/l. Solve -2*t - 1 = -r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032222029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/225 and -55\/333.\nAnswer: 8325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 376 - 416 = 0, 4*x + 2*h = 24. Factor -38\/5*w**2 - x*w + 8\/5*w**3 + 0.\nAnswer: 2*w*(w - 5)*(4*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.097, -2, 4, -5, 2\/7, -60, 6 in ascending order.\nAnswer: -60, -5, -2, 0.097, 2\/7, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 22*y - 47. Let x be n(-13). What is the third smallest value in -1, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 19 + 17 = 0. Solve 5*v - u = -0*v - 18, -4*v = t*u + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z + 5*c = -684, 0 = -5*z - c + 1656. What are the prime factors of z?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32109 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 4*h**2 - 2*h + 1. Let w be o(-3). Let n = -33977.1 - -33974.1. Which is the nearest to -1? (a) w (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 4, b: 4}. What is prob of sequence wbt?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2036*g + 17450 = -3953*g + 2266*g for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 5*v + 0*v + (-2*v + 5*v + 2*v)*(1 - 3 + 3).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 0\/1)\/(1496\/272)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 f when four letters picked without replacement from chffgfffcgff.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 21 = -3*u. Suppose 9*a - 12*a = 0. Calculate the remainder when u is divided by 3 + -1 + a + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/7, -2\/167, 4801.\nAnswer: -3\/7, -2\/167, 1, 4801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5.18?\nAnswer: 4.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**4\/4 + p**2\/2 - 110. Let m(d) be the third derivative of -d**6\/120 - d**4\/4 + d**3\/3 + 2*d**2 + 296*d. Give m(h) + 2*n(h).\nAnswer: h**3 - 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 17)\/(2\/(-1)). Suppose -m = -6*r + 2. Suppose -x = -r*x. Put -12, x, -3 in decreasing order.\nAnswer: x, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02541 rounded to three decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 929*144 - (-4 + -1 + 1). What is q rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -57*d**3 - d**2 + d. Let h be y(-2). What is the common denominator of (-9)\/15 + (-3205)\/h and 63\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 10*m + 8. Let p be w(-6). Let t be -1*(7\/p)\/(9\/36). Calculate the highest common divisor of t and 413.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12977 plus 18.9?\nAnswer: 12995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - 75.67. Let z = 0.33000064 - f. Round z to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 5*k + 0*k**2 + 5*k**2 - 3*k**2. Let w be (5 + -6)*1\/(-1). Calculate z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 3627, -4\/5, -3, -5 in ascending order.\nAnswer: -69, -5, -3, -4\/5, 3627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by 120\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*q + 132*q - 61*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gggoggoogggggg?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 + d**2 - d - 1. Let y be h(1). Solve 9 = y*r + 2*x + x, 5*r + 15 = 5*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((63\/(-15))\/(-7)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -319.7 + 320.7. Which is bigger: b or 44\/15?\nAnswer: 44\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 1:36 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -329975 or -329977?\nAnswer: -329975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from beeeeebb?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -297*c + 20453*c**3 - 10226*c**3 + 7*c**2 - 10230*c**3 + (2 - 2 + c)*(c**2 + c**2 - c**2).\nAnswer: -2*c**3 + 7*c**2 - 297*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/6 - (441 + -479).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87334006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 731.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 162103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-8) - (-1 - -3). Let a(w) = w**3 + 10*w**2 - w - 6. Let z be a(-10). Suppose z*m + 75 = 51. Sort m, -0.1, v in increasing order.\nAnswer: m, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 55, 115, 199, 307, 439, 595?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -16102?\nAnswer: 16111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 3*x - 15. Let i be d(8). Let w = i - 73. What is the biggest value in -2, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = 3. Let p(b) = 6*b**2 + b. Let i be p(r). Let f(h) = 61*h**2 + 4 - 57*h**2 - h**3 + 13*h - 10*h. What is f(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = i - 8, 4*i + 3*x - 8*x - 15 = 0. Suppose -5*t = -o - 45, 5*t - 15 = 4*t - o. What is the greatest common factor of i and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.083 take away -1.5?\nAnswer: 24.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + -487554?\nAnswer: -487569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -197*j**2 + 1\/2*j**3 - 1\/4*j**4 + 101\/60*j**5 + 0 + 0*j. Find the second derivative of i(v) wrt v.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*t - 211 - 175 - 202 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 0)*-1 + 6. Let h = w + -7. Let q be (-7 + 4)\/(6\/h)*4. Solve 0 = 3*j - 3*y - 6, 0*y - q = -4*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*n - 12420 = 172*n - 285*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -910039 and 99.\nAnswer: -909940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**3 + 4 + 4\/3*s**4 + 16*s**2 + 40\/3*s.\nAnswer: 4*(s + 1)**3*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127 - -634\/5. Which is the smallest value? (a) 2 (b) q (c) -0.5 (d) -935 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -12. Let v(b) be the third derivative of 0*b + 1\/6*b**g + 0*b**6 + 0*b**4 + 0*b**5 + 0 - 1\/210*b**7 + 2*b**2. Differentiate v(y) wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29326 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -2*y**3 + 71*y. Let p(z) = 3*z**2 - 6*z + 6. Let n(x) = -9*x**2 + 17*x - 17. Let o(s) = 6*n(s) + 17*p(s). What is o(v(h))?\nAnswer: -432*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 298 divided by 76\nAnswer: 149\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, t: 7}. What is prob of sequence tvvv?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**6\/36 + w**5\/30 - w**4\/12 - w**3\/9 + w**2\/12 + w\/6 + 4. Suppose u(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798059619 to the power of 1\/2, to the nearest integer?\nAnswer: 28250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6. Find the third derivative of s*h**5 - 3*h**2 + 0*h**2 + 3*h**5 wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*k**3 + 118309480*k**2 - 1478877875*k + 4621503125.\nAnswer: 5*(k + 1478881)*(4*k - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -13*v + 48. Suppose 4*a - 5 = 115. Let n(k) = a*k - v*k - 15*k. Let q(f) = 3*f**2. Determine q(n(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.04, 2, 1, 3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 57*x**2 - 598*x + 1860. Determine f(-18).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -34, -3929341 in increasing order.\nAnswer: -3929341, -34, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -147378116.76.\nAnswer: -147378113.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 1. Let j(o) be the first derivative of 4*o - 8\/3*o**3 + 0*o**2 + 20. Give -4*d(r) - j(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/60 + r**4\/8 - r**3 - 6*r**2. Let t be y(-5). Suppose t*c - c = 21. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(891) + sqrt(891) - (sqrt(11) - (4 + sqrt(11)*2)))**2*-3.\nAnswer: -11963 - 456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 8:48 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 2*x**2 + 2*x - 4. Let z(k) = -5*k**3 + 3*k**2 + 2. Let g(j) = 4*j**3 - 3*j**2 + j - 3. Let b(n) = 3*g(n) + 2*z(n). Give 2*b(o) - 3*v(o).\nAnswer: o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 - 2*o - 7. Suppose -2*m = 2*v - 12, 15 = v - 0*m + 4*m. Suppose -2*a + v = -7. Let g(n) = 2*n**2 - 2*n - 6. Calculate a*g(s) - 4*y(s).\nAnswer: -2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1289 or -1290?\nAnswer: -1290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101110111101001 (base 2) in base 9?\nAnswer: 1185011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75, 311, 705, 1257?\n\"Answer: 79*y**2 - y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/334 and -85\/334.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*1.58.\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 10 + 17. Let q = -79\/3 - a. Let i = -30 - -61\/2. What is the closest to -1\/2 in q, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + 6*-2*-6*-2*sqrt(475) + -3)**2*4.\nAnswer: 11520*sqrt(19) + 39398416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z**2 + z - 2. Let p(i) = 857*i**3 + 5*i**2 + 5*i + 718. Let c(u) = p(u) - 5*q(u). What is the derivative of c(a) wrt a?\nAnswer: 2556*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 497873 - 497865. Let l be (1\/2)\/((-1)\/(-26)). What is the greatest common divisor of l and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625710601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.95 - -0.05. Let x = q + -11. Let h = 2.1 - 2. What is the closest to h in 4, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8609 + 1\/((-6)\/36))*4. Round q to the nearest 100.\nAnswer: 34400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 15 + -1 + (-51 - -47)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69040, 2, 0.04 in decreasing order.\nAnswer: 2, 0.04, -69040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 68945 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -646*i**2 + 8*i - 57. Let c be q(25). Let m = 12996393 - c. What is m rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -5*b - 14, 3*j + 10*b - 12 = 13*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -26862753\nAnswer: 1\/26862753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -164 + 0*c**2 + 0*c + 140\/3*c**3. Let k(f) = -2*f**2. Determine m(k(h)).\nAnswer: 560*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363741.\nAnswer: 2363741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 - 208. Let r = -39 - -19. Let m = w + r. Sort -2\/13, m, -1\/7 in descending order.\nAnswer: -1\/7, -2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(8\/48). Suppose -4*k + 36 = j*y, -1 + 7 = k + 2*y. Suppose 0 = b + 3, -1 = 3*n + b - k. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/294 + (-18)\/(-42)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1578316 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + 55. Let p = g + -72. Let w be (2 + p\/(-12))*-4. Solve 0 = w*l - 0 - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10254*f**4 - 12579*f**2 + 4?\nAnswer: 246096*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-24)*-4 - 67\/(-13). Let s = 197 - 783\/4. Which is the second biggest value? (a) h (b) s (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7059 (b) 23.7 (c) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 1 - 1)*(1 + 3 - 2)*(1 - 1 + 2)*(0 + 1 + 0)*(-4 - j + 4)*(6 + 79 + 53).\nAnswer: 552*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3276.31 micrometers?\nAnswer: 0.00000327631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 484 = 12*b, 2654*a - 28 = 2655*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1437101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4517 is divided by 364?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 88*f**2 + 52*f - 67*f**2 - f**3 - 34 - 6*f - 43*f**2. Let g be q(-24). What is the highest common divisor of g and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-24))\/(75\/(-40) + 2). Sort 1, -0.3, -5, j, 0.2 in descending order.\nAnswer: j, 1, 0.2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 151, 236, 319, 394, 455, 496, 511?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*t)*(3*t**3 - t**3 + 0*t**3) + 0*t**4 + 3*t**4 - 5*t**4.\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-7)*-6*21*-2. Let o = 41 + n. Solve -u = -6*c + 3*c + 11, 4*u + 23 = o*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((0 - (2 - 1)) + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2889)\/(-72) - (510\/(-272) + 3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488 = 47*w + 65*w + 1080 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0. What is the closest to 0.2 in g, -5, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7996897*i**3*w**3 + i**3*w**2 + i**3 - 581497*i*w**2 wrt w.\nAnswer: 47981382*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1037200985, 1037200983, 1037200981, 1037200979, 1037200977, 1037200975?\nAnswer: 1037200973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**3 + 27*h**2 - 8*h - 5. Give n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 greater than 206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 5*u + u + (0 + 2 - 1)*(-5*u + 2 - 2))*(-u - 3*u + 2*u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350) - -3*1*sqrt(350))\/(sqrt(7)*-2*4))\/(6*(sqrt(440)*-1)\/sqrt(11)))**2.\nAnswer: 5\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3543812 divided by 885953?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 8, 85, 250, 533, 964?\nAnswer: 1573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 10. Suppose 0 = -7*h + 8*h - 6. Suppose -3*d - 3*p = h, 2*d + p + 2*p - 1 = 0. What is r(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15501225 (base 6) to base 3\nAnswer: -1001001202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356147 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -19 + (-7 - (-3 - (18 - 9)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61832 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 373 or -3?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1409*m + 1414*m + 2*u - 406 = 0, -68 = -m + 4*u. Calculate the greatest common divisor of m and 1810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a meter in centimeters?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7421 + 7427. What is the remainder when w is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -386, -795, -1360, -2081?\nAnswer: -2958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.07 + 1.97. Put 2\/5, d, 0.2, 2 in increasing order.\nAnswer: d, 0.2, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 33, -7, -4, -1, -13 in decreasing order.\nAnswer: 33, 6, -1, -4, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 187027964 divided by -46756991\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*k = y - 5, -3*y + 2*k + 2 = 0. Suppose -2*x - 2*x + 16 = y. Calculate the least common multiple of x and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (15 - (-2 - -7) - -12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.4201919 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 11*w**2 - 6*w + 16. Let x be 39\/9 + (-14)\/(-21). What is the units digit of a(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*p**5 - 8 - 33*p**5 - 31*p**5 + 36*p - 24*p**4 + 56*p**3 - 64*p**2 = 0. What is p?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 15. What is j(7)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62111813 to the power of 1\/2, to the nearest integer?\nAnswer: 7881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((2 - 0)\/2). Let n(q) = -q**3 - 5*q**2 + 6*q + 18. Let o be n(-5). Let g(m) = m + 24. Let x be g(o). Put b, x, -3 in ascending order.\nAnswer: -3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of -6 - q**2 - 2\/3*q**3 - q**4 + 2*q. What is the tens digit of b(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 741 = 5*p, 0 = -2*p - 3*s + 130 + 180. Let q = 155 - p. What is the remainder when 11 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5746 + 5686.06. Let v = z + 70. What is v rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/60 + 72\/32 + -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (4 - (-17 - -19))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - 2*f + 4. Let q(b) = -3*b**2 + 3*b - 5. Let l(r) = -5*n(r) - 4*q(r). Let k be l(2). Solve k = -3*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62730 is divided by 8953?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194321 divided by -1298.\nAnswer: 194321\/1298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23113102 (base 4) in base 3?\nAnswer: -2100211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d, -5*h + 4*d - 2*d = -15. Suppose 0 = 3*s - 3 - h. Let i(k) = 3*k**2 + 0*k**s + 0*k**2. Let v(u) = -2*u**2. Determine v(i(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*377\/(-116). What is the second smallest value in x, 4\/9, 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0 (base 12) to base 14.\nAnswer: -14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 341 - 370.9. Let s = a - -59.8. Let c = s - 28.11. What is c rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -3. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 - 61. Let z = 776 + -722. Let h = z - o. Solve 0 = -r - 2 + h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -8, 20, 56, 100, 152, 212?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2647 - 2638) + (-2 - -2 - 13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and 2492?\nAnswer: -4485.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 84*g**2 + 94*g - 892. What is the remainder when ((-62)\/(-3))\/(2\/6) is divided by t(83)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*y**2 + 38*y**2 - 2 + 35*y**2 + y - 85*y**2 to g + k*y + b*y**2 and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 14*r**2 + 13*r + 39. Let u be p(15). Suppose -3*o + 12 = 0, 2*g + 10*o = u*o + 712. List the prime factors of g.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxffxfxyyfx. Give prob of sequence yx.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-12)*2)\/2. Let v = 0.2 + -0.2. Let h = -1 - v. What is the nearest to h in 5, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-347 + 0)\/((-20)\/15 + 1). Let g = -410 + p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -283.\nAnswer: 7\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90594 and 189.\nAnswer: 271782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -391.1 + 397. Round n to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-285)\/114*(-2)\/(-10))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/70 + (-174)\/(-180).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 629, 628, 627?\n\"Answer: -i + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -456*n**3 - 31*n + 538. Let u(y) = -684*y**3 - 43*y + 807. Let r(v) = -7*g(v) + 5*u(v). What is the second derivative of r(w) wrt w?\nAnswer: -1368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.194 * -2432.8.\nAnswer: -471.9632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 24. Suppose -j = -9*k + 5*k. Suppose 4*o + 0*o - k*y - 14 = 0, 3*y = 3. Solve 4*a - o = -12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 516, -83, -5 in ascending order.\nAnswer: -83, -5, 3, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62617 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 145397024570 and 0.14.\nAnswer: 145397024570.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a*y**3 + 190*a*y - 1873913*a + 32420*y + 48 wrt y?\nAnswer: 6*a*y**2 + 190*a + 32420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -76 and -0.117?\nAnswer: 8.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 11746592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**5\/390 + 445*g**4\/26 - 594075*g**3\/13 - 5*g**2 + 113*g. Factor z(r).\nAnswer: -2*(r - 1335)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 241*g**3 + 8*g**2 + 12*g - 6. Give f(3).\nAnswer: 6609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 423180799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1902841 rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-8)\/(-4)*(-2800)\/525?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 14712?\nAnswer: -14705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2))**12)**(1\/3)*(w\/w**(-5))\/w**(-1)*(w\/(w*w*w**(-1\/4)\/w))\/(w**(2\/3)\/w) assuming w is positive.\nAnswer: w**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 204 (base 10) to base 12.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82852881\/33456170 - -2\/196801. Let i = 2\/85 + r. What is the biggest value in i, 0.3, 1\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 0*z + 5*z + 6*z - 2*z**2 - 9*z to the form g + y*z**2 + s*z and give g.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 692, 588, 40, -1174, -3276, -6488, -11032, -17130?\nAnswer: -25004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*4\/(-12)*(-6)\/12. Which is the second biggest value? (a) 0.5 (b) -74 (c) x (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 24 + 168 = 0. What is the remainder when 13221 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 11*i**2 + 19*i - 10. Let s be h(9). Let r be (-10875)\/(10\/(-16) - s). What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -831*f**2 - 2*f + 2*f + 759*f**2.\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -32797 < -32795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/((o*o*(((o*o**(-10))\/o)\/o)\/o*o)\/o))**(25\/2)\/((o**(2\/3)*o)**(-22)\/((o**7\/o)\/(o*o**7*o))) assuming o is positive.\nAnswer: o**(776\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 2. Let c be ((-4)\/(-10))\/((-19)\/95). Give a(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**15*u*u\/(u*((u*u**(2\/69))\/u*u)\/u)*(u**(-1\/15))**(-14) assuming u is positive.\nAnswer: u**(1944\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*r - 3*r + r)*(-4 + 2 + 1) + r + r + 2*r)*(-1 + 7 - 3)*(-5 - r + 5).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 49*o**2 + 138*o - 27. What are the prime factors of b(-18)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18650212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 51*x**2 + 2*x - 79. Let u be d(51). Suppose -14*b + u*b = 477. List the prime factors of b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -25\/3. Let i = 127 + -123. What is the third smallest value in i, -0.1, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**5\/110 + 175*c**4\/66 - 353*c**3\/33 + 177*c**2\/11 + 54*c + 43. Factor b(t).\nAnswer: 2*(t - 1)**2*(t + 177)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -153747*c - 11069799. Calculate x(-72).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -37. Let j be 8 + -14 - (m - 1). Let z be 996\/1 + (-2 - j). Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/12 + 5*y**3\/6 + 2*y**2 + 4*y + 7. Factor n(w).\nAnswer: (w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d - 5*a - 5, 0 = -3*a - 3. Calculate the common denominator of -23\/6 and (-351)\/144 - (-3 + (d - -2)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxqm when four letters picked without replacement from {g: 3, m: 2, x: 2, q: 2}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7022 divided by -2\nAnswer: 3511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**2. Let d(q) be the first derivative of 0*q**2 - 1\/3*q**3 + 0*q - 1. What is d(y(u))?\nAnswer: -100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16809 divided by 13\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 1. Suppose -5*n - 10 = -0. Let j be g(n). Solve 3*x - 4 = -2*d + j*d, -30 = -5*x - 3*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, -102, -8, -0.1 in decreasing order.\nAnswer: 0.3, -0.1, -1, -8, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 223*b**2. Let d(y) be the third derivative of -y**4\/12 - 4*y**2 - 33. Give j(d(f)).\nAnswer: 892*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*c - 54, 4*w = 3*c - 4*c + 152. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16595 divided by 5.\nAnswer: 3319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3. Let f = -8220 + 8218. Which is the closest to f? (a) -23 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d - -141d?\nAnswer: 145c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/244 and 2\/5487377?\nAnswer: 21949508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 822\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, s: 5}. Give prob of sequence sbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = -139*u + 136*u + 15, 15 = 2*t + 3*u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35361690013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -80236*l + 2893 - 2893. Let h be w(-1). Is (h\/(-130))\/(2\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49418?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -87*j - 417. Calculate i(-6).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 115654000 to the nearest 100000.\nAnswer: 115700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305063 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 t = 20 - 11. Solve -5*a + 6 = -t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -211.\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11*t = -16*t + 9, -19 = 5*w - 3*t. Let j be (w\/(-2) - 2)\/(15\/60). Let o(m) = m**3 + 4*m**2 + 3*m - 2. Calculate o(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 103 = 5*m - 37, -5*m + 155 = -2*n. Let b = m + 21. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.222 times -0.19\nAnswer: 0.04218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*t**2 - 3*t**4 - 2*t**3 + 2*t + 8 - 4 as l*t + w*t**2 + v*t**4 + h*t**3 + a and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 152696938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**4\/24 + 5*j**2. Let m(g) = g. Give n(m(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 7*o + 16 = 0. Find the common denominator of ((-58)\/40 - o) + 0\/(-1) and (-2)\/(-8) + 66\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*g - 5*g. Suppose g*l + l - 570 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**2*d**3 + 10*c**2*d + 134*d**3 with respect to c.\nAnswer: 14*c*d**3 + 20*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1340?\nAnswer: -1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 1383359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885*p + 1238*p - 138750 = 248*p for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 6.\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 j, and 1 z when four letters picked without replacement from {e: 3, s: 2, y: 2, z: 1, g: 3, j: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 + a - 3. Let j(y) = 57*y**2 + 9*y - 24. Let m(t) = -4*j(t) + 33*s(t). What is the units digit of m(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microsecond in nanoseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.87 + 4.61. Let t = 10.3 + d. Let p = t - 0.04. Is 1\/3 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2291, 168, -2 in decreasing order.\nAnswer: 2291, 168, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 16*b + 2. Let j(n) = -125*n + 16. Calculate -j(r) + 6*s(r).\nAnswer: 221*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 3*x**4\/4 - x**3 + x**2\/2 + x - 12. Let m be p(1). Let l(g) = 5*g + 8 - g**m + 4 - 3*g - g. Determine l(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1002 - -991 - (0 + 1 + -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/5)\/((-8)\/120). Let q(r) = -r**3 - 5*r**2 + 6*r + 4. Let g be q(a). Factor -6*p**3 + p + 2*p**2 - 3*p - 8*p**2 - 2*p**g.\nAnswer: -2*p*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 548 = -4*r - 0*g, 3*g + 279 = -2*r. Let t be -5*(r\/30 - -4). Solve t*j - 6*j = -8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggxogxxgx. Give prob of sequence xgg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 307676201?\nAnswer: -307676201.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10839*j**2 + 20017*j**3 - 10839*j**2.\nAnswer: 20017*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*x. Let o be x\/(-2) - (-13)\/(-1). Is 1120\/3 - (-5)\/o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6 = d. Let o be (d - 1) + (-1 - -2). Let q(t) = -t**2 - 8*t - 5. What is the lowest common multiple of q(o) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2508*t - 275247 - 140785 = -1964*t - 71688 for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 126*s**2 - 334*s**2 to the form y*s**2 + u + o*s and give y.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.55376ug in kilograms?\nAnswer: 0.00000003355376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1, 5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 72\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/51570 and 67\/216.\nAnswer: 206280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -252, -322, -392, -462, -532?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34728, -34708, -34692, -34680, -34672?\nAnswer: -34668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -112 + 111 + 8 + 1 - (8 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8301 is divided by 8278.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2143 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 + 17 + 72 + 100?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/420 and 5\/1321019.\nAnswer: 79261140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -145*g**3 - 2*g**2 + g. What is k(1)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16950 - -6601.8?\nAnswer: 23551.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44013\/220015 + -2\/44003. Sort 0.14, -0.1, -11\/5, d.\nAnswer: -11\/5, -0.1, 0.14, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mak when three letters picked without replacement from {a: 3, t: 2, g: 1, z: 1, k: 1, m: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -210201210?\nAnswer: -210202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1948792, -0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45446507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(72)\/sqrt(192)*4)\/(sqrt(8)\/sqrt(4)*-6 + -2*sqrt(72)).\nAnswer: -sqrt(3)\/18 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -2 + 5*1. Let m = 1 - 2. Let a = p - m. Calculate the greatest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*d + 18168, -3*q - 36*d = -34*d - 10904. Is q a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4723932 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 105648\/(-5416)*(-4)\/(-9). Let m = y + 2\/677. What is the common denominator of m and (-2 + -1)\/(-111)*43?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333340177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x + 17*x - 199034 = -19*x. List the prime factors of x.\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/484)\/(24\/7788)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgwgbgwwbwbgwwbgww. Give prob of sequence bgw.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -10, -4, 199 in ascending order.\nAnswer: -10, -5, -4, 0, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 546*j**6 - 2*j**2 - 103*j.\nAnswer: 65520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fek when three letters picked without replacement from hkehskhsekhkfhh.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -5*x. Let h be (x + 2 + 1)*5. Suppose 3*c + 0*c - 3*z - 99 = 0, 101 = 3*c - 2*z. What is the greatest common divisor of c and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 140*d**3 + 110*d**3 - d.\nAnswer: -30*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 9. Let v be b(-12). Let m be 0 + v\/(-6)*0. Factor 2\/5*r + 7\/5*r**2 + m.\nAnswer: r*(7*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + -5 + 12 + -7 + 1 + -11?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.25 and -53.\nAnswer: -53.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 2675?\nAnswer: 16050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 3.\nAnswer: -12, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154262*a**6 + 2*a**4 + 249*a**2 - 280*a - 2 wrt a.\nAnswer: -18511440*a**3 + 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 60804 = 19*h. What are the prime factors of h?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + 3*(sqrt(432) + 0))**2*1*5.\nAnswer: 720*sqrt(3) + 19460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 102420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 3:43 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 233 and -0.06?\nAnswer: -13.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432956500 divided by -43295650.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2086.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3163456 (base 7) to base 3.\nAnswer: -201120201001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 5741098.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 14. Let t be f(-13). Let r = -4 + t. Sort -2, 5, r in decreasing order.\nAnswer: 5, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 58*q = 2430 for q.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 1 + 71*a**3 + 15*a**3)*(-8 - 9 + 12)*(4 - 4 - 2*a**2).\nAnswer: 820*a**5 + 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 163 = -545. Let y = -98 - d. What is the smallest common multiple of 4 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30074289, -30074288, -30074287, -30074286?\n\"Answer: q - 30074290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 1\/20*m**5 + 7\/12*m**4 + 0 - 3\/2*m**2 + 12*m - 3\/2*m**3. Let b be f(-8). What is the highest common divisor of 2 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 1, k: 1, x: 3, s: 1, j: 1}. What is prob of picking 1 s and 1 b?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3)*s**(4\/3))**(-44)\/(s**(-4)\/s**1*((s**(-4)*s)\/s*s)\/s**2) assuming s is positive.\nAnswer: s**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -x + 2*h, -h - 13 - 13 = -3*x. Suppose -3*i + 3 = l - 14, 0 = l - 3*i + x. Suppose 0 = -3*b + 4*b - 4, 4*p - 40 = -5*b. Is l equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3006 at most as big as -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (-33 - (-40 - (30 - 59)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2 + 368*a - 7132. Determine z(31).\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onn when three letters picked without replacement from nononoonooo?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 394351\/7052 - 20\/5289. Let g = 56 - a. Is -1 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - (sqrt(4) - sqrt(400)*3))\/(1*sqrt(72)) - ((-3 + sqrt(200)*-2)**2 + -2 + sqrt(200) + sqrt(200)*1).\nAnswer: -807 - 135*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {v: 1, a: 2, y: 2, b: 3, u: 4, m: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3232)\/46 - 4542\/(-17411).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -28*q - 279. What is k(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-624)\/14040\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1004 + -1004.0000455. Round z to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17298*w**2\/13 + 2325000*w\/13 - 78125000\/13.\nAnswer: -2*(93*w - 6250)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -44518046 - -310.4?\nAnswer: -44517735.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210194994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) -0.2 (b) 0 (c) -0.02 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 97*w = 74*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 5. Let r be l(0). Suppose -2211*c + 2231*c - 100 = 0. Solve 50 = c*j + r*d, 5*j + 0*d = -3*d + 40 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 104.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*p + 5. Let s(m) = m + 16. Let g be s(p). Suppose -g*j = 5*i - 60, 5*j - 31 - 59 = i. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-19)\/((-152)\/48))*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:04 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p + 6. Find u, given that -21*u**2 + 6*u - 16*u**2 + 0*u**4 + 28*u**2 + 3*u**p = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1148, 2340, 3546, 4772, 6024, 7308, 8630, 9996?\n\"Answer: v**3 + v**2 + 1182*v - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 875. Let u(k) = -167*k. What is u(j(v))?\nAnswer: -167*v + 146125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17251462*z**5 - 7*z**2 + 65*z + 380.\nAnswer: -1035087720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1213, 2430, 3609, 4726, 5757, 6678, 7465, 8094?\n\"Answer: -4*r**3 + 5*r**2 + 1230*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 177, 266?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 534\/1543?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321343012 - -10?\nAnswer: 321343022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 32.5 and -0.063.\nAnswer: -2.0475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q - 2*q**2 + (2*q + 0*q + 0*q)*(-13*q + 3*q - 3*q) + 47*q**2 + 0*q**2 + 186*q**2.\nAnswer: 205*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 49. Let n be (-2)\/10 - (-355)\/z. Solve -a - 4*u = -3*u + 7, -2*u + n = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2\/13, 2, -4 in decreasing order.\nAnswer: 2, -2\/13, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = 2*q, 5*w - 13 = 12. Let o(g) = 3*g**3 + 2*g**2 + g - 1. Let h be o(q). Which is greater: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42081 and 104?\nAnswer: 336648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 11 = v, 0*v = v + 4*a - 20. What is the highest common divisor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -4*y**3\/3 - 2*y. Let m(s) = -51*s - 33. Let r(a) = 3*a + 2. Let h(p) = -2*m(p) - 33*r(p). Give x(h(z)).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = -27. What are 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 630338 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + m**5 + 6*m**5 + 2 + m**5 - 2 + (-2*m**3 + 7*m**3 - 3*m**3)*(-4*m**2 - 2*m + 2*m) + 5*m**5 - 2*m**5 - 2*m**5 + 5*m**5 - 5*m**5 + m**5.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726 <= 1726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -220 or -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-513)\/855)\/(9\/(-120)). Solve 7*l + 5*w = 10*l - 10, 0 = l + 3*w - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6391 and 2079?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3425 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((-4)\/(-6)) - 0. Suppose 6 = -3*j + j. Let w = j - -3. Solve w = a - u + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1137 - -1140. Suppose 13 = 2*p - 35. What is the greatest common divisor of h and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -976*f**6\/3 + 184*f**3 + 935. Find the third derivative of s(x) wrt x.\nAnswer: -117120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-12 + 12 - 5*a**2)*(3*a - 1 + 1).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyyyyyykyjyyyykyyyyy. Give prob of picking 3 y.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v = -16. Is v > -14\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-30)*113856\/4151. Factor 124\/5*f - 4\/5*f**3 + 88\/5 + k*f**2.\nAnswer: -4*(f - 11)*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-1) + 18325\/(-875)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5)\/2)*10\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 231 divided by -21\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -18. Let i be -3 + (4\/p - -2). Is 0.1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrro when four letters picked without replacement from hrbddodhrbgrro.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-3) - (2 - 2). Let v be ((-3)\/h)\/((-12)\/8). Sort 0, 5, v in increasing order.\nAnswer: 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*m**5*u - 3*m**2*u - 2*m - 228*u wrt m?\nAnswer: 1180*m**3*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1792357284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 3627?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -184, -187, -192, -199, -208?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 73 - 101 = 0. Solve -v*x**3 - 21*x**2 + 540*x + 8*x**3 - 5*x**4 + 540 - 24*x**2 = 0.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - 19 - -10 - -6) + -6. Suppose 14\/5*r**3 + 2\/5*r**5 + 0*r + 2*r**4 + n + 6\/5*r**2 = 0. Calculate r.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 18*c - 14*c. Let q be (-1)\/1*18\/6. Let p(u) = -5*u + 4. Let l(v) = -9*v + 9. Let t(j) = q*l(j) + 7*p(j). Give t(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.6 + -0.4. Let o = 1 - y. Let r = o - 7. What is the third smallest value in 3, r, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250 (base 9) to base 12\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*c - 24, -7*q - 8 = -8*q + 4*c. Calculate the smallest common multiple of 18 and q.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emtmtmeteme. What is prob of sequence ete?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 20*x**2 + 103*x - 5. Give w(12).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c - 1. Let a(b) = -b. Let r(m) = -4*a(m) - 2*k(m). Let s be (-1 + -1)\/(16\/(-24)). Suppose -4*l + 2*l = -s*j + 4, -3*l = 5*j - 32. Calculate r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -868*n + 875*n + 13 + 65. What is v(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429 = 8*j + 349 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 + -0.69. Which is the biggest value? (a) 2\/5 (b) 6 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 0.1 (c) 171 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose -2*g + 3*g - 4 = x. Suppose -3*k - 23 = -6*k - m, 4*m + 52 = g*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127214323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 - 56864*u**3 + 12*u**2 + 170584*u - 113728 = 0. Calculate u.\nAnswer: -14216, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let a = n - -8. Calculate the remainder when 28 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, 1, 140, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1620, -1621, -1622, -1623, -1624, -1625?\n\"Answer: -c - 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 10. Let u be k(9). Which is smaller: -4\/23 or u?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 - 75. What is the second derivative of -6*h**w - 12*h - h**2 + 10*h**4 + 8*h**4 - 12*h wrt h?\nAnswer: 144*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7497 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114310 + 4?\nAnswer: 114314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2 + 17\/(-9)). Suppose -c = -b - 1. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 2 + -2 - -1. Suppose m = 5 - h. Suppose -3*v + 0*v + 3348 = 3*f, m*v + 5*f = 3340. What is v rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 710810 to the nearest ten thousand.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w*w**3)\/w)*(w\/(w*w\/(w\/(((w*w\/(w**(-2)\/w))\/w)\/w)))*w)\/w)\/(w**(-1)*w*w**(3\/2)\/w))\/(w**(2\/5)\/(w\/(w\/(w*w**(-4)))))**38 assuming w is positive.\nAnswer: w**(-1357\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 202776 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -17*m**2 + 0*m**3 - 1\/4*m**4 + 0 + 0*m. Let l(x) = -6*x**2. What is s(l(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**4\/4 - q**3 + 3*q**2\/2 + 2. What is a(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 31*i + 1. Let q be c(5). Let a(p) = -76 + p - 74 + q. Calculate a(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c**2 + 6*c - 2. Let z(b) = -5*b**2 - 24*b - 6. Let j(r) = -10*r**2 - 37*r - 10. Let a(s) = 5*j(s) - 8*z(s). Give -5*a(k) + 6*m(k).\nAnswer: -4*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/11? (a) -2\/13 (b) 1249 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/65 and 113\/7758.\nAnswer: 504270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -7*d**3\/3 - 2*d**2 - 3*d. Let g be y(-4). What is the highest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-21))\/(1\/(-45)*-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 - 6 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11560246 - 474857 = 139*p. What are the prime factors of p?\nAnswer: 7, 11393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266, -250, -222, -176, -106, -6, 130?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 + 59*g - 78. What is the remainder when 3391 is divided by z(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*g**4 + 7*g**4 - 41*g**2 + 13*g**2 wrt g?\nAnswer: 480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (7 - 20) + -4 - 14\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1403242 + 120321?\nAnswer: 2024113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019?\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 3)*(2*h**2 - 4*h**2 - h**2)*(5 - 3 - 5) + (-11 + 4*h + 11)*(0*h - 4*h + 7*h))*(25 - 4*h**3 - 25).\nAnswer: -84*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/43 (b) 240643 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5331 - -5?\nAnswer: 5336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 6*g + 3*g = -4*p - 43, -15*p = 23*g + 188 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -0.005?\nAnswer: 0.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 320*h**3 + 8224*h**2 - 61440*h - 158400.\nAnswer: 4*(h - 30)**2*(h - 22)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(6\/7)\/(m*m\/m**(-4\/3)))**(7\/4)\/((m**(1\/4))**14\/(m**(-4)*m*m**(-9)*m)) assuming m is positive.\nAnswer: m**(-113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3390, 3351, 3296, 3231, 3162, 3095, 3036?\nAnswer: 2991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2720.996 + 2735. Let u = -0.31 + 14.31. Let f = u - r. Round f to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5805245273 rounded to three decimal places?\nAnswer: -0.581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 + 58 - 58.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p**4 - 8 + 10 - 14*p**4 - p - 284*p**3 as u*p**3 + q*p**2 + c + x*p + b*p**4 and give u.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(242) + -1 - sqrt(18)\/(sqrt(9) + (sqrt(315)\/sqrt(5))\/sqrt(7)).\nAnswer: 1 + 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*l + 3*x + 2*x, -3*l + 3 = 3*x. Let h be (-2)\/(l\/(-10)) + -2. Solve -j = -3*j + 5*i + 15, 4*j = i + h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(5\/(565\/2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*b**3*k - 62*b**3 - b**2*k**2 + 2*b wrt k?\nAnswer: -35*b**3 - 2*b**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, i: 2, j: 1, f: 2}. Give prob of picking 1 f and 3 l.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3481456 and 7336.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31.7 and 141693202347.\nAnswer: 141693202378.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 101*y - 883. What is the remainder when c(19) is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-2*k + 4*k + 0*k) + 171 + 297 - 470 - 453*k + (k + k - k)*(-1 + 4 - 2).\nAnswer: -450*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {u: 1, q: 1, j: 1, z: 1, i: 1, m: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 38*g**5\/5 - g**4\/4 + 130*g**2 - 990*g. What is the third derivative of w(h) wrt h?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + -35. Let d = k + 129. Let f(i) = i**2 - 3*i - 8. Calculate f(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9546*h**4 + 9545*h**4 - 7*h + h**3 + 55*h**2 - 9 - 54*h**2 to g*h**2 + p*h**3 + f*h + x*h**4 + l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 460\nAnswer: -3\/460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 7, y: 7}. Give prob of picking 1 e and 2 y.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105074?\nAnswer: 2, 107, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*o + 2*o = 22, -2*o = 2*b - 28. Let a(q) = 8*q**3 - 2*q**2 + 3*q - 2. Let p be a(2). Calculate the greatest common factor of p and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-15) - 7\/(-35). Suppose 3*j = u, 5*j + 11 = 5*m - 19. Let q(i) = 3*i - 20. Calculate q(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16163, 16112, 16035, 15932?\n\"Answer: -13*k**2 - 12*k + 16188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44917 is divided by 1531.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 581336684 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 597 = 3*t, -3*x + 11*t - 12*t + 906 = 0. Suppose -306*f + 12 = -x*f. Solve 3*a + 18 = 5*c, -f*a + c - 16 = -3*c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 22, 0.685 in decreasing order.\nAnswer: 22, 0.685, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -213*f**2*i + 7*f + 25*i + 29 wrt f.\nAnswer: -426*f*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77)*-4 - sqrt(77))\/(sqrt(33)\/sqrt(3)*-2))**2.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 1. Determine a(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.194 - -275.194. Sort -0.2, -5, w, -4 in increasing order.\nAnswer: -5, -4, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 856305 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15) + (-4158)\/(-98010)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21549 or -193948\/9?\nAnswer: -193948\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362899 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 55. Solve 0 = 2*h - 2*l + 10, -j*h - 4*l - 15 = -2*l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2095369373\/1374 + -1525014. Calculate the common denominator of d and 11\/6.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. Let r = -9 + u. Let y = -2 - r. Solve -2*f - y*g - 11 = -0*f, 11 = -5*f - 2*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - 70. Find the third derivative of 46 - t + 10*g**2 - 5*g**5 wrt g.\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39 - 13 - 10*s - 3*s**3 + 21 + 9*s**3 - 40 wrt s.\nAnswer: 18*s**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(225))\/(sqrt(320) + 1*sqrt(320) + sqrt(320) + sqrt(320)).\nAnswer: sqrt(5)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -1433\nAnswer: 38\/1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/27 + 80\/198. Let s = -0.325 + -178.675. Let y = -187 - s. What is the third biggest value in o, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 97*q + 57. Is i(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/12 and 35\/18346?\nAnswer: 110076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71321 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -7102*j + 7085*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78833.92l?\nAnswer: 78833920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 9\/50*f**5 + 13\/15*f**3 + 2\/3*f**4 + 2\/5*f**2 + 0 - 5*f. Factor z(p).\nAnswer: 2*(p + 1)**2*(9*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-29)\/(-2))\/(5\/10). Suppose 5*a + o = -h + 4, 0 = -4*a - 4*h - 36. Let g = a + 17. What is the remainder when 38 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {w: 4, s: 8, t: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 41.5. Let f = 22.5 + w. Let o = f + -25. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 170 = 42. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 545*z. Let f(v) = -8*v**2. Determine b(f(g)).\nAnswer: -4360*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -680253*u**4 + 1389038*u**2 wrt u?\nAnswer: -16326072*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0540379623 to five decimal places.\nAnswer: -0.05404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31833, 31854, 31877, 31896, 31905, 31898, 31869, 31812?\n\"Answer: -w**3 + 7*w**2 + 7*w + 31820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 197928, 1583496, 5344354, 12668154, 24742548, 42755188, 67893726?\n\"Answer: 197942*y**3 - 7*y**2 - 5*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1706147 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 157108 - 2*j - 78074 - 77635 - 2*j**2 as f + s*j + x*j**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = -0. Let v = 682 + -712. Is 6 a factor of y - v\/(-5) - -58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 20 - 12. Let s = 63 - c. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 - 6 = -2*d, 5*f + 5 = 5*d. Let q(h) = 5*h**2 - 8*h + 18. Let g be q(f). What is the greatest common divisor of g and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 19 - 129. Let g = -736 + 756. What is the greatest common divisor of d and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18388?\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1147, 2293, 3439?\nAnswer: 4585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68436?\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 14. Determine r(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2806191 != -2806192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2\/11*b**2 - 192 - 698\/11*b = 0.\nAnswer: -3, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -183372?\nAnswer: 183375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*n + 125*n = 104*n + 192*n + 1556 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 - 2*v**3 + 10*v - 4*v + 2*v**2 - 3*v**2 + 9. Suppose -4*p + p - 9 = 0. Does 27 divide f(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 0 + sqrt(1872) + sqrt(1872) + sqrt(1872)*-1 + -2)*5.\nAnswer: -60*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -1\/2 (c) 4\/7 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*t - 4*l, -4*l + 5*l - 22 = -4*t. Solve -4*j - 4 = 2*y, -j - 6 = -t*y + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -4.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 8*i**2 - 6*i - 36. Calculate c(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**3 + 2*b**2 - 2*b. Let l be 120\/(-50) + ((-12)\/(-5) - 2). Let i(f) = -f**2 + f. Give l*i(p) - v(p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*p + 1. Let z be p\/(-1*(-8)\/12). Suppose a = -3*l + 31, z*a = l + 10 + 63. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 204*r**2 - 2*r + 3. Let d be a(4). Let f = -8059 + d. Round f to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 91. Let w(t) = t - 30. Let a(f) = 6*c(f) + 17*w(f). Suppose 42 = 3*u + 3*g, 0 = u + u + g - 31. What is the units digit of a(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((13\/65)\/(4\/5))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**3 - 7*q**2 + 3*q + 12. Determine j(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p - 267143 = -269233 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h + b + 14 = 0, b - 2 = -h. Let t be h\/(-14) - (-32)\/14. Solve 4*q = -14 + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -575*v**2. Let o(r) = 82*r**2. Calculate -2*m(h) - 15*o(h).\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a. Suppose 11 = 2*n - 27. Let h(d) = 17*d + 4 + 15*d - n*d. Let z(y) = 272*y + 85. Let f(i) = 85*h(i) - 4*z(i). Give w(f(u)).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 45 + 10. Suppose -2*a = 4*q - 5*q + 4, 4*a + q = -2. Calculate the remainder when 6*(-3 + l - a) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from bwybkbbby.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 9*u**2 - 2*u**2 + 10*u + 7*u**2. Let l be (-3)\/(-27)*3*12\/(-4). Let c(m) = m. Calculate l*k(n) + 12*c(n).\nAnswer: 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -542.147 + -0.853. Let s = z - -580.7. What is s rounded to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*((0 - 1 + 2)*(-j - 1 + 1) - 5 - j + 5)*(-11*j**2 + 7*j**2 + 6*j**2).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.166 - 0.084. Let q = g + -61.75. Let z = q + 64. Which is the closest to 0? (a) -2\/3 (b) 2\/15 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 9 = -7. What is the highest common factor of 12 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6413 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**2\/6 - 5921057*h\/6 - 4934210 = 0.\nAnswer: -5921052, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -1687?\nAnswer: -1686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.02 (b) 0 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5145973, -5145979, -5145987, -5145997, -5146009, -5146023, -5146039?\nAnswer: -5146057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -18 + 18 + -11 + (9 - -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.9 - 9.926. Let k = 0.03 + w. Let f = k + -0.00400233. Round f to 7 dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let a(b) be the third derivative of 5*b**2 - 7\/60*b**5 + 0*b**4 + 0 + 0*b + 15\/2*b**3. Let d(z) be the first derivative of a(z). What is d(m(g))?\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63732464\/615 - 103630. What is the common denominator of -19\/369 and p?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.4221 + 0.5779. What is the biggest value in 3\/5, 0, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 24985.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sas when three letters picked without replacement from aasasasasssasssssss.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 8*o + 26. What is p(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 + 10146*z**2\/5 + 6085*z - 40572\/5.\nAnswer: (z - 1)*(z + 4)*(z + 10143)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13542 or -1990498\/147?\nAnswer: -13542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*o**3 - 153*o**3 - 68*o**3 - 106*o**3.\nAnswer: -440*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -5. Let d be h\/(-3) + (-9)\/27. Let w(f) = -2*f + 7. Let k(t) = 2*t - 8. Calculate d*k(b) - 6*w(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*m*p*x + 20*m*p - 957057*p*x + 2994*p - 23 wrt x?\nAnswer: -4*m*p - 957057*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2273 = -1579. Is 2\/17 + r\/51 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 cjg. What is prob of picking 1 c and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 10. Let q be v(8). Let f = q + 3. What is the derivative of -1 - 2 - j**4 + f wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18739 and 0.01356.\nAnswer: 254.10084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 3*d = 57, -4*z - 2*d + 64 = 0. Let j(g) = -g**3 + 18*g**2 - 18*g + 19. Let s be j(z). Put -1, -10, s in ascending order.\nAnswer: -10, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q - 92 = s, -17*q + 14*q + 20 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (-1 - -5) + (172 - 177) - -13\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7975350\/217 or -36753?\nAnswer: -7975350\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/32 (b) -0.8 (c) 5 (d) -1 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -5. Let l(z) = -5*z. What is l(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3868 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: b\"What is the cth term of 3, -2, -11, -30, -65, -122?\n\"Answer: -c**3 + 4*c**2 - 10*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6. Let o be (s + -1)\/(1\/(-178)). Suppose -c - l + 37 = -50, 0 = 2*c + 4*l - o. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*g**4 + 0)*(g - 4*g + 0*g) - 2*g**5 - 3*g**5 + 0*g**5.\nAnswer: -11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -51*d + 151. Let l be y(11). Let u = -284 - l. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9984 and 256.\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 - 4859\/30. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 + 60. Let s = 1.4 + -1.55. Let y = s - 0.85. Which is the smallest value? (a) 2 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5654 in 3\/4, 2, -2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j - 1. Let d = 4 + j. Solve -b + 16 = -4*o, 19 = -b - d*o - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) -3\/8 (c) -27 (d) 0.3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2529401 * 5\nAnswer: 12647005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 84. Suppose -k + 10 = z, z - 4*z = -5*k - y. Suppose -z*i + 9*i + 100 = 0. Solve 0 = -3*r - r - i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4161 = -5*c - 516. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -677, -688, -705, -728, -757, -792, -833?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (6 - 6)\/(-6). Is 14 a factor of (-2 + -9)*(-18)\/2 + d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -506 - -508. Let z be y\/10 + (-5)\/((-100)\/6). Factor -1\/4*k**3 + 1\/4*k - 1\/4*k**4 - z + 3\/4*k**2.\nAnswer: -(k - 1)**2*(k + 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289782759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2 + 706*z + 124609 = 0.\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*h - 113400 = -874*h + 727*h - 1164*h for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 399*r**3 + 6329*r**2 + 588*r**3 - 6643*r**2 - 2*r**6 - 11296*r**2 + 730*r**3 wrt r.\nAnswer: -240*r**3 + 10302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3 - 3460*a**2 - 24257*a - 41604 = 0.\nAnswer: -4, -3, 3467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - -220102200122121?\nAnswer: 220102200200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-19)*-2*1. Let g = 6.99 - -0.01. Let o = g + -4. Sort 4, i, o.\nAnswer: i, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56461109 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 4*a - 26. Let q(c) = -2*c**2 - c + 5. Let k(d) be the third derivative of 0 + 1\/12*d**4 - d**2 + 1\/15*d**5 - 3\/2*d**3 + 0*d. Give a*k(i) - 7*q(i).\nAnswer: -2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68922 divided by 126?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v - 17. Let j(w) = 5*w + 8. Let t(l) = -9*j(l) - 4*o(l). Let s(g) = g - 6. Let u be s(3). Calculate t(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w + 4*w)*(w + 3*w - 5*w) + 7*w**2 - 8*w**2 - 70*w**2 + (0*w + w - 2*w)*(5*w - 4*w - 3*w).\nAnswer: -71*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-14))**(-2\/3) assuming h is positive.\nAnswer: h**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13*i + 17. Let p(b) = 4*b - 6. Let x(u) = 3*f(u) + 8*p(u). Calculate x(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b0 (base 12) to base 6.\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*1*2886\/481\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**3 - 5*z**2 + 11*z + 2. Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 23*b**2. Let f(t) = 2135*t. Determine f(g(o)).\nAnswer: 49105*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 3 - p + 2*p. Let d be b(0). Let u be (-1 - 0)*3 + d. Solve 3*w + 1 + 14 = u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - ((-27)\/1 + -2). Suppose -4*p - z = -107. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 2*r**2 + r + 3. Let l be k(3). Let p = 17.9 + 0.3. Let s = p + -17.7. Put 2, l, s in ascending order.\nAnswer: l, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(6480) - (sqrt(6480) - 2*sqrt(6480)))*-3)\/(sqrt(63)\/(sqrt(7) - (sqrt(252) - (sqrt(252) + 4*sqrt(252))))))**2.\nAnswer: -81000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33743 - -33744.94. What is the third smallest value in 1\/3, a, 2\/39?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t = 124*t - 513 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7 and -283083.471.\nAnswer: -283084.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - v**2. Let a be n(-2). Let s = 25 + -24. Suppose m = -3*q + 24, 4*m + q = 4*q + 21. Solve m = 4*r - 3*l, -5 = -a*l - s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (6 - (27 + -12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-138)\/92)\/(12\/16))\/((-15)\/(-21) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1\/10)*d**(1\/7)\/d)\/((d*d**(2\/17)*d)\/d*(d\/(d**4\/d))\/d))**(-30\/13) assuming d is positive.\nAnswer: d**(-6873\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.05308 (b) -1\/5 (c) 3 (d) -2 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 40, 43, 24, -23, -104, -225, -392?\n\"Answer: -u**3 - 2*u**2 + 32*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**3 - 64*u**2 + 24*u - 841. Calculate p(-17).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 divided by 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:44 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 41. Let j = i + -57. Solve -2*y + 3 = -j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-1))\/(1\/4). Suppose 4*t = -2*a + 80, 4*t + 2*a + 64 = m*t. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(18)\/(sqrt(12)\/sqrt(2))) + -6*(sqrt(28) + 1))**2.\nAnswer: 132*sqrt(7) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Let t be (2 - (v + 4))\/(4\/(-6)). Suppose 2*b = -t + 23. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1268 + 511.8732. Let k = -517 + d. Put -4, 0.1, k, -1\/11 in descending order.\nAnswer: 0.1, -1\/11, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62163.7 seconds to nanoseconds.\nAnswer: 62163700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000000 + -110101001111010101?\nAnswer: -110101001101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-3))\/((-13)\/273) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 8 = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 325*l - 102. What is the tens digit of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l - 12*l + 12*l - 12*l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 * -27\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 8. Let s be h(-6). Suppose s*p = -6, 0 = -3*z - 5*p + p - 6. Find the third derivative of 4*t**z + t**2 + t**6 + 9*t**6 + 7*t**2 wrt t.\nAnswer: 1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 753887 and 11576.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1592 - 1074 + 445)*(t**4 - 5*t**4 + 2*t**4) - t**4 + 2*t**4 - 2*t**4 to the form r*t**3 + d*t**2 + n*t**4 + j*t + y and give n.\nAnswer: -1927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 139*w**3 - 17*w**2 + 8*w + 153. Let q(r) = -49*r**3 + 6*r**2 - 3*r - 51. Give 6*o(p) + 17*q(p).\nAnswer: p**3 - 3*p + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*y - 213*y + 28 = -p, -2*p = 5*y + 31 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5172531479\/2365 - 2187117. Let l = -1\/215 - p. Which is the closest to l? (a) -2\/5 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*x**2 + 144*x**2 + 202*x**2 + (-2*x - x + 5*x)*(-4*x - 2*x + 4*x).\nAnswer: 435*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 take away -20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44777 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -72926 (base 14) in base 11?\nAnswer: -17956a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40985, 82109, 123233?\n\"Answer: 41124*s - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + 185\/(-20). Let b(h) = h**3 + 10*h**2 + 6*h + 3. Let s be b(a). Calculate the highest common factor of s and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -8. Let n(d) = -6*d. Let r be n(-1). Suppose r + 29 = v. Calculate the highest common divisor of v and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4569, 1, 21 in increasing order.\nAnswer: 1, 21, 4569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 248\/1851 - 2\/3085. Sort d, -1\/10, -1\/3 in descending order.\nAnswer: d, -1\/10, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1603 - 1603.03. Put 0.4, -2, r, -2\/3, 3 in ascending order.\nAnswer: -2, -2\/3, r, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 3*a - 6, -5*i - 11 = -a + 3*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.02 or 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14800 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4644\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8768937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.75 - 0.75. Let d = m - 30.035. What is d rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 219410 and 10.\nAnswer: 219410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/sqrt(245) + 1)*-1.\nAnswer: -2*sqrt(13)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*sqrt(1331)*-2 + sqrt(1331) + (sqrt(1331) - (sqrt(1331) - (sqrt(1331)*1 + sqrt(1331) + sqrt(1331) + -3))))**2.\nAnswer: -2156*sqrt(11) + 260925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/(-12) - 1)*1\/(-4). Which is smaller: c or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 15 = -3*p, -5*p - 6992*x = -6988*x + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) 0.52 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1126 (base 7) to base 13\nAnswer: -259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 2*o - 1. Let a = 6 + -5. Calculate c(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/8560 and -3\/8045116?\nAnswer: 160902320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cvcecceecvvceecv?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (7 - -2) - -19?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85123419?\nAnswer: 3, 28374473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 53 + 5 = 0. Let l(c) = -c**3 + 8*c**2 - 13*c + 15. Let t be l(j). Solve -5 + t = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.74 - -1.74. Let j = -0.05 - 0.35. Suppose -3*m + z = -4*z - 8, 2*z + 4 = m. What is the nearest to x in m, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 379294749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 18. Solve -3 = b*l - 4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 - h\/4.\nAnswer: -h*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(132) + 1*sqrt(132)) - (sqrt(132) - (sqrt(132) + (sqrt(132) - sqrt(132)*-2*-2))))\/(sqrt(1728)*4*4 + sqrt(1728)).\nAnswer: -7*sqrt(11)\/204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 7*w**2 - 10*w + 9. Let o(x) = 2*x**2 + 4*x. Let g be o(-3). Let l be t(g). Let a = -6 - l. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 66.99774. What is h rounded to 4 dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p - p)*(-22*p + 141*p + 62*p).\nAnswer: 181*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzznzzzznzzzznzzz. Give prob of picking 2 n.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 3. Let v(a) = -90*a**2 - 90*a**2 + 261*a**2 + 3*a + 5*a - 4 - 82*a**2. Give v(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(0 - 2)*-21. What are the prime factors of (-46)\/(-3) - (-7)\/o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*w**(-5))**(1\/21) assuming w is positive.\nAnswer: w**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38710511 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7562 - -7600. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 9337.\nAnswer: 9336.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 3*l - 2. Suppose 2*q + 0*q = -8. Let c be z(q). What is the greatest common factor of 6 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 714719870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3\/1)*28\/(-1064).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3261 (base 7) to base 5\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 2 (c) -311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 16. Let x(s) = s**2 + s + 1. Let w(y) = 5*y**2 + 8*y + 4. Let q(u) = g*w(u) + 4*x(u). What is q(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 266 + -258. Solve 5*h = f + 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -805, -2, 2102, -4?\nAnswer: 2102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330201 - 112?\nAnswer: 330023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*p + 40, 0 = -p + 5*p - 20. Solve 3*z + 3*k = 3, -u*z + 0*k + 13 = 5*k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14615845?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**2 + 324*r + 37. Let v be a(46). What is the highest common divisor of 387 and v?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -175*y**3 - 63*y - 63. Let a(n) = -11*n**3 - 4*n - 4. Let k be 106\/26 - (-200)\/(-2600). Determine k*g(h) - 63*a(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3736, -439 in increasing order.\nAnswer: -3736, -439, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from ppwppwwppwppppppppp.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -6, 4\/7, 395, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 36 = -36. Suppose 0*n + 20 = 4*n. Suppose -4*p = -19 - n. What is the lowest common multiple of m and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from hhgugio.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 313 in -6, 4\/3, -0.02?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142310 divided by -95.\nAnswer: -1498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4 + 379*a**3 - 638*a**2 + 256*a = 0.\nAnswer: -128, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -4, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1456 = -69*y + 1304. Calculate the greatest common factor of 16 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2135992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85682.63g in milligrams?\nAnswer: 85682630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -240*t**2 + 113 with respect to t.\nAnswer: -480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -184.9 + 186.9. Let i = 0 - 0. Is i less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (-9)\/(-6))*30\/9. Solve 2*v + f = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32660)\/7632 + (4 - 3). Let b = a + 1\/636. Find the common denominator of ((-5)\/12)\/(2\/(-33)) and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-308))\/(13*385\/28028).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 + 14455205?\nAnswer: 14455301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3132 and 97\/4358688.\nAnswer: 1137617568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose -t*k + 2 = -22. Solve 0*v + j = -v, -v - 4*j + k = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870674 (base 10) in base 15?\nAnswer: 26e419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 54*g + 598. What is the lowest common multiple of d(-11) and 124\/3 + 4\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6 and -79792?\nAnswer: 79798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)\/(m\/(m**(4\/7)*m)))\/(m**(-2)*m**(-5)\/m)*(m\/(m\/(m*m\/m**(-2\/3)*m*m*m*m)))**12*m**(-5)\/(m\/m**(1\/2)) assuming m is positive.\nAnswer: m**(12821\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, 14, 4\/9, -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*-1*4*10\/(-400)*112\/(-84).\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -17*x + 10. Solve -l + 1 + x = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2278412 is divided by 759470.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 5*y = -44. Let x(l) = -l**3 - 10*l**2 + 24*l + 2. Let p be x(-12). Solve -3*b**2 + 2*b**p - 536*b**4 + 531*b**y - 10*b**3 - 4*b**2 = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + z**2 - z + 1. Let s(u) = 36*u**3 + 5*u**2 + 3*u + 2. Let j(r) = -s(r) + y(r). Is j(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-14))\/(113\/(-10283))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j = -195 + 239, 4*i - j + 14 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-8))\/(-126*70\/(-112455)*3\/(-8))\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/4 - (-11)\/44. Let b = t + -3. Does 4 divide (b\/12)\/(2\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-5)\/20*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-20)*(8\/(-33))\/(-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 12:05 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 4*h**6\/5 - 277*h**5\/12 - h**3\/2 - 4962*h**2. Find the third derivative of n(s) wrt s.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 15*w**2 + 16*w + 2. Let h be i(16). Find the third derivative of -12*y**h + 0*y**2 - 212*y**5 + 200*y**5 wrt y.\nAnswer: -720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2603 is divided by 288?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 - 2*k**2 + 14*k**2 + 2*k**4 + 16*k**2 - 16*k**3 = 0. Calculate k.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2768173 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 6\/5, -127, 4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4)*-6)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (-2 - 3 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*w**3 - 123*w**3 + 246*w**3 + 70*w**3.\nAnswer: 380*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17409.10075 + 17419. Let g = p - 9.9. Round g to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11059 or -4590?\nAnswer: -11059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33290 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 7*l**2 - 5*l - 1. Give q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 4*g**2 + 3895*g + 27225. Calculate i(-7).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/(-340) + (-1203)\/(-60). Let g be -135*(0 - 4\/10). Suppose -174 = -4*s - g. What is the greatest common divisor of u and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 9. Let f be h(-5). Let y be (-1 + f)*(-12 - -13). Suppose y = 4*u - 296 + 68. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*u - 36 = 0, 4*u = 5*b + 50 - 182. Let q be -975000*7\/(105\/b). What is q rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*sqrt(7)*2 + sqrt(7)))**2.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 5 + 20*t**2 - 3.\nAnswer: 20*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 360. List the prime factors of j.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1464, 1\/3, 4.\nAnswer: -1464, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n - 114 + 208 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/10800 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by (-1)\/((-3 + 3848\/1284)*3).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 68 = -2*o, -4*u - o + 4*o + 297 = 0. Let y = 26 - 0. What is the greatest common divisor of u and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**3 - 4*c**3 + 4*c**3 + c wrt c?\nAnswer: 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 110?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2)\/m)\/m**(-2\/39))**(-49) assuming m is positive.\nAnswer: m**(5635\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2. Let k(q) = -2*q**2 + 4*q**2 + q**2. What is k(l(s))?\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 32*d + 200. Let r be a(48). What is the highest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -76, -91, -122, -175, -256, -371, -526?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 - -2615bab?\nAnswer: 2615bc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, h: 1, b: 4, p: 1}. What is prob of sequence rbr?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + -114. What are the prime factors of (-5 - -416)\/(2 - g)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 17.6 (c) 0.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 153 = p. List the prime factors of 4 - (3 + 5) - p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o - 3. Suppose 0*t - 2*t + 6 = 0. Let p = -1 + 2. Put p, t, o in descending order.\nAnswer: t, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 39.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o**2 - o + 1. Let w be n(0). Let k = -780 + 780. Which is the closest to k? (a) w (b) 0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -217*c + 308. What is the hundreds digit of k(-19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2))**(-1\/41)*(i*(i**(-1\/5)*i)\/i)\/(i*i\/(i\/(i\/(i**(6\/5)\/i)))))**(-2))**(-49) assuming i is positive.\nAnswer: i**(-3822\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 8:09 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 5*x - 2. Let d be k(6). Let r = d - 1. Let y = r - -17. Solve -y = -4*w + 5*n + 2, 0 = -2*w + 5*n + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.50836116 and -0.05034056.\nAnswer: 0.4580206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 5)*(-l + l + 2*l) - 3 + 0*l + 2 + l to the form v*l + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 26*p**2 + 0*p**2.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -30. Solve -3*i + 21 = p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30004073977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 30689?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/3, 0.24, -0.7, 1\/5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -35*m. Let k(c) = 16*c + 10. Let w(q) = -39*q - 24. Suppose -161*x + 156*x + 25 = 0. Let y(i) = x*w(i) + 12*k(i). Calculate o(y(f)).\nAnswer: 105*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7199886*r - 182585773?\nAnswer: -7199886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 355077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 + -1.5. What is the biggest value in -0.4, x, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -23. Let m = h + 11. Suppose -2*n + 16 = -m*o, -5*n - o = 2*o - 40. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*d - 27, 0 = -2*n - n - 5*d - 4. Let u = n - 7. Suppose 5*c + 25 = u, z + 3*c = -z - 17. Is z at least as big as -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85207\/14 + -6091. Find the common denominator of 5*87\/(-18)*(-21)\/315 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a1 (base 16) to base 14.\nAnswer: -74d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 9, 12, 81 in decreasing order.\nAnswer: 81, 12, 9, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/432 - 1360\/9. Find the common denominator of -6 - (6 + v\/10) and -11\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 17, 4 in descending order.\nAnswer: 17, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*u*v**3 + 29*k**3*v + 20*k**2*u*v**2 + 15*k*v**3 - 2321*u*v**3 + 16*u*v**2 wrt v.\nAnswer: 12*k**3*u + 90*k - 13926*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (0 + sqrt(125) + -2*sqrt(125))**2) + ((0 + 2 + sqrt(125) - sqrt(125))*-3 + -4)**2)*-5.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 + -2. Let p = w + -0.3. Which is the closest to -2\/3? (a) 1\/5 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*v = v - 132, 0 = -4*q - 3*v + 193. Let i be 69\/q + (-2)\/4. Let w(l) = 299999*l**2 + 2*l - 1. Let p be w(i). Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330 by 9.\nAnswer: -110\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 650 - 1299\/2. Factor 0*l**2 - 1\/2*l + 0 + z*l**3.\nAnswer: l*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120 - -2100000?\nAnswer: 2101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 22\/7, -0.4 in decreasing order.\nAnswer: 22\/7, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:24 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12908709 - -17.7\nAnswer: -12908691.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/5, 0, -1\/14, -1 in increasing order.\nAnswer: -1, -1\/14, 0, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*(-3)\/(-2). Suppose 19*y = 24*y - 14*y. Sort 2, -4, j, y in increasing order.\nAnswer: -4, j, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 1:28 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32655 (base 8) in base 4?\nAnswer: 3112231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5701\/147926 + -4\/1999. Do 0 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4094.33 - -4113. What is z rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 0 (b) 1\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5569 divided by -1\nAnswer: -5569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 921 - 925. Which is the fourth biggest value? (a) 13 (b) -1\/3 (c) 3\/14 (d) 4 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 0.3 (c) -1 (d) -5 (e) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -1\/2 (c) 0.2 (d) 33\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145404358 a multiple of 1573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-238)\/(-60) + 8\/(-12) + -3. What is the second biggest value in j, -0.5, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -275\/3 - -1546\/15. Find the common denominator of (4\/(-5))\/((-12)\/(-170)) and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1547)\/(-1105) + (-8)\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699*f + 18126 = 2748 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.33 (c) 3 (d) 3.45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 3. Let p(o) = 6*o**2 - o + 8. Calculate 4*p(x) - 11*v(x).\nAnswer: 2*x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2 + 3*j - 3 - 4*j. Calculate the least common multiple of h(-5) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**5\/60 + 3*i**4\/8 + 3*i**3\/2 + 5*i**2. Let n be s(-8). What is the closest to n in 0.5, -2\/7, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 523.29 - 523. Sort -5, -0.4, q.\nAnswer: -5, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -159*x**2 - 44*x + 1. Let q(z) = 7*z**2. What is d(q(p))?\nAnswer: -7791*p**4 - 308*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-55) - (-48)\/22. Let r(d) = 2*d**3 + 2*d**2 - 3*d**3 + 0*d**u + d - 2*d. Give r(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 13 + 15 + 5 + 39*q.\nAnswer: 39*q + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 0, -70475, -8.\nAnswer: -70475, -8, 0, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**11*u\/u**(1\/23)*(u**3*u)**35 assuming u is positive.\nAnswer: u**(3518\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-77022)\/(-55))\/(4\/6*36\/540)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*f - 7*f - 139*f + 361*f to r + w*f and give w.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998700 rounded to the nearest ten thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 - 14*b**3 + b**2 - 29*b**3.\nAnswer: -43*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1342 - -1347. Let g = -5 + 9. Let x = 2 + g. Solve -2*y = -i*y - x, -h + 5*y + 12 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w. Let v(x) = -x**2 - 9*x - 4. Let l be v(-9). Let a be 1 + l\/(-16)*4. Solve w = 2*h + a*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/2 + 26013*y\/2 - 5397387.\nAnswer: -3*(y - 8234)*(y - 437)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-74)\/(-185))\/(2\/110)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (2 + -6 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 3528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (46 + -40)*(-87)\/18*-4. Let g = -376 - -262. Let x = g + d. Solve -10 = 3*l + x*l - 2*k, 5*l + k = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**5\/3 - 62*l**4\/3 + 26266*l**3\/3 - 17446*l**2 + 8712*l = 0.\nAnswer: -132, 0, 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 3231*j**3\/2 - 156*j**2 - 7450*j. Find the first derivative of f(m) wrt m.\nAnswer: 9693","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -35, -109, -253, -491, -847, -1345, -2009?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by -6 - -2 - -3 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 148\nAnswer: -5\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2764502, -2764501, -2764500, -2764499, -2764498, -2764497?\n\"Answer: u - 2764503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -23*f - 66. What are the prime factors of k(-12)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50686939.\nAnswer: 50686939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*s - 6*s - 5*d, 5*d = -2*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3145 (base 6) to base 3.\nAnswer: -222102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 + -149.0000077. Round h to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32909 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 160*z**2 + 156*z**2 - 1920*z + 161*z**2 - 479*z**2 in the form n*z + f*z**2 + w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c - 4. Let o(k) = -3*k - 2. Let z(a) = -3*l(a) + 5*o(a). Give z(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -a + 6, 2*p = -0*p - 4*a + 4. Suppose -g + 8 = 4*v - 7, 0 = -3*v + 3. Calculate the smallest common multiple of g and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 56.85019 centuries?\nAnswer: 568.5019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 2, -5, 3, -94?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b + 2*n + 110, 0 = -4*b - 2*n + 142. Let d(j) = -18*j**3 - 2*j**2 + 2*j + 4. What is the remainder when d(-2) is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120087 + 1788.\nAnswer: 121875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13573 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43788445*m**4 + 20341332.\nAnswer: 175153780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.351122 decades?\nAnswer: 0.3351122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -8\/3*b**3 - 5\/3*b**4 + 4 - 10*b + 2*b**2. Let h(d) = 0. What is d?\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 111*w**2 + 5*w - 38. Let h be a(4). Let d = -1757 + h. Suppose 2*y = -y - 72. What is the third biggest value in -2, d, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1134 = -2*t. Let o be 42\/t - (-4)\/18. Solve 5*i = 4*f - 6 - 5, -i + 3*f - 11 = o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b - -b9?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -2 - (-103 + 93 + -2 + 9 + -2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 35*r**2 - 134*r - 2207. Calculate the remainder when 503 is divided by y(-37).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -41*p**4\/24 + p**3 - 7*p**2. Is o(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 1. Suppose 7*o + 10 = 2*o. Let n be (5 - (-8)\/o)\/1. Let a be u(n). Is -6\/5 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4372 + 4372.92. What is the biggest value in 4, y, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b - 2097 = -h, 2*h - 526 = b. Let v = 921 + b. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u - 12. Calculate the smallest common multiple of 10 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*w + 4, -46*w + 47*w - c + 11 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*c = 0, 4*v + 3*c = 4*c + 22. Suppose -2*t + 4*r + 7 = 23, 3*r - 25 = -v*t. Solve 0 = -4*p + f, -2 = p - t*f + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(((-7)\/(-6))\/7). Is j at least 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, f: 3, j: 4, k: 1, w: 1}. Give prob of sequence kj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 10, h: 2}. What is prob of picking 2 r?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4446, -8988, -13614, -18324?\n\"Answer: -42*t**2 - 4416*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 441.85 - 418. What is k rounded to zero decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306000 rounded to the nearest 10000?\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/9)\/4 - (-133)\/(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12184639 is divided by 812309.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13137167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -826723.\nAnswer: -330689.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/108 and -93\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - 1d?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121000221 (base 3) to base 4.\nAnswer: -2312221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 1. Let d be o(3). Let b be -35*(-5)\/(d\/(-4)). Suppose -w - b = -6*w. What is the highest common factor of 35 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*r + 2. Let n be (-160)\/28 - r\/(-7). Let p be n\/(-10)*5\/(-30). Which is the third biggest value? (a) 2 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + 4. Let s(w) = -21*w - 33. Let x(j) = -16*j - 25. Let h(i) = 3*s(i) - 4*x(i). Give d(y) - h(y).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/9)\/m)**36\/(m**(-2\/3))**(23\/3))**(-2) assuming m is positive.\nAnswer: m**(700\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/27*(562 - -2). Find the second derivative of 18*x**4 + 12*x**4 - s*x - 13*x**3 - 4*x**5 - 30*x**4 wrt x.\nAnswer: -80*x**3 - 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y**2. Let m(s) be the second derivative of -s**7\/2520 - 5*s**4\/12 + 5*s. Let x(l) be the third derivative of m(l). Give x(d(h)).\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4914 is divided by 546?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.674, -1\/6, 348?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -67*z**8\/336 - 16*z**5\/15 - 3*z**2 - 38*z. What is the third derivative of s(j) wrt j?\nAnswer: -4020*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 8*o**2 + 2. Let t be p(8). Suppose h - 23 + 6 = 3*g, -8 = t*g. Solve h*v + 2 = 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -145 + 157. Let x(p) = 13*p - 7. Calculate the remainder when x(6) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 + 32*m - 12. Let r be i(-11). Put 2, r, 27 in decreasing order.\nAnswer: 27, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a - 35*a = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*o**3 - 11*o**3 - 16*o**3 + (-6*o**2 + 9*o**2 - 7*o**2)*(4*o + 3 - 3).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/18 and -31\/185358.\nAnswer: 556074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from ofc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 901639 to the power of 1\/2, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 24*o + 63. Let s(x) = 6*x + 16. Let b(j) = -4*n(j) + 15*s(j). Let q be b(-9). Let l = q - 29. Solve 4*p = 3*d - 25, 3*p = -d - p - l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4997137.\nAnswer: 439, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2726*v + 39. Is c(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 8 = -7*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 42\/(-24) + 375\/(-12). Let f be ((-24)\/(-60))\/(3 + a\/10). Let y(q) = -q - 9. Give y(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + o = 2*o + 1, 5*i + 4*o + 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -11, -14, -4, -50, -1.\nAnswer: -50, -14, -11, -6, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121*u**2 + 10*u + 15122 wrt u.\nAnswer: 242*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -19) + 24 - (18 + (-2 - 26))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-259)\/(39886\/308))\/((-4)\/528*3).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (20 - (10 + 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 60*n + 428. Let r be k(54). Calculate the greatest common factor of r and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/2296 and -41\/112.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2814, -11002, -24548, -43446, -67690, -97274?\nAnswer: -132192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268795322 to the nearest integer?\nAnswer: 16395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2652325*h - 5569710?\nAnswer: -2652325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12524 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: Does 47 divide 9165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1937?\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 199, 426, 735, 1120, 1575, 2094, 2671?\nAnswer: 3300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42768676, 42768674, 42768672, 42768670, 42768668?\n\"Answer: -2*v + 42768678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s - 92. Calculate k(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -5539.7613?\nAnswer: -5539.7613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12393 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y\/((y\/((y**(12\/7)\/y)\/y))\/y)*y)))\/y*y)\/y)\/y**(1\/3) assuming y is positive.\nAnswer: y**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let r(c) = 2*c. Suppose 74 + 3258 = 17*y. Suppose 195*k - y*k = 2. What is k*o(m) - 2*r(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -5. Let i = h + -29. Let v be (-4)\/(-14) + (i\/(-28) - 1). What is the smallest value in v, -1\/2, 2\/15, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b - 32. Let s be n(-10). What is the highest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-9)\/(-138))\/((-54)\/71) and 73\/2?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkzszkkkkkkzkkkzzk?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - 21*r**2 + 5*r**2 + 3*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = 3*h, 4*u + 0 = 4*h + 12. Let n = -81 - -76. Let p(l) = -l**3 + l**2 - l - 1. Let q(c) = -3*c**3 + 6*c**2 - 7*c - 5. Calculate h*q(k) + n*p(k).\nAnswer: 2*k**3 + k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121914719.\nAnswer: 1031, 118249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 133\/3. Let v = -141.809 - -142. Let p = -0.309 - v. What is the closest to -0.2 in m, p, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6246484950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1032?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6179*b**2 - 3*b - 5. Let t(j) = 2065*j**2 - j - 2. What is 4*g(w) - 11*t(w)?\nAnswer: 2001*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - n = -7, 15*c - 16*c = 4*n + 32 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 2451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -118*y**7\/7 - y**5\/5 - 138*y**3 + 563. What is the third derivative of g(k) wrt k?\nAnswer: -14160*k**3 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.4366581 to 0 dps.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-30))\/((-12)\/(-120)) and (14\/(-3))\/(8\/33).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/16*(-12)\/9*(-24624)\/(-228)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -51. Let m = -20 - f. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 17. Which is the third smallest value? (a) -0.5 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43694 rounded to three decimal places?\nAnswer: -0.437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * -0.2.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 59444 divided by -4\nAnswer: -14861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5870.\nAnswer: 2, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42 - 13 - 17 - 4*j - j**3 - 14 to the form z + m*j**3 + q*j**2 + p*j and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/((-36)\/(-8793)))\/1.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 2 (b) 4 (c) 0.466\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-44) + (1 - 1\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295788350 divided by -550.\nAnswer: -537797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71056780?\nAnswer: 2, 5, 3552839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 2*a - 3474 + 3468, 0 = -2*s - 3*a + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 495.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8590 and 9449.\nAnswer: 94490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -520 or -519?\nAnswer: -520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = -2*q, 0 = 2*o - q - 113. Suppose h - o = -2. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -33. Let b(z) be the second derivative of o + 3*z + 0*z**3 - 1\/12*z**4 + 1\/2*z**2. Factor b(s).\nAnswer: -(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -15*q + 616. Let d be g(40). Suppose 4 = -f + 16. Let x be (f\/32)\/(2\/d). Solve 0*c - c - x = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1758666 and -1758938 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*g**2 - g*u - g - 537*u wrt g?\nAnswer: 48*g - u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 10 = y, -f + 2*f + 3*y - 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 52*t**2 - 1. Let q(i) = -52*i**2 - i + 1. Determine 3*n(o) + 2*q(o).\nAnswer: 52*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703.664 weeks in milliseconds?\nAnswer: 425575987200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/((-225)\/42))\/(2\/82). Let z = 115 - s. Factor 0 + 2\/5*q**2 - 1\/5*q - z*q**3.\nAnswer: -q*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -237 - (-73 - (-98 + 137))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 67.1 times -0.4\nAnswer: -26.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53760611 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -167. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:04 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeb when three letters picked without replacement from {e: 3, m: 5, v: 4, b: 7}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exxx when four letters picked without replacement from {e: 4, b: 5, x: 3, o: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/(-187) + (-57)\/(-11). Let m = 9 - r. Solve -d = -3*d + m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1642508 and 1642550 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 98, 140, 182?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w = -15*w - 155. Solve 32 = w*n + 47 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.09, -5 in increasing order.\nAnswer: -5, 0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - sqrt(147)*-1) + 0)**2 + -2.\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Calculate the remainder when 2\/(-4) + 81\/t is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 58, 1, 4, -90 in descending order.\nAnswer: 58, 4, 1, -3, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 28 = 29*h - 26*h, 20 = -3*h + d for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -301280 and -301296 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 7. Let h = l - 14. Let a(i) be the second derivative of -i**5\/20 - 5*i**4\/12 + i**3\/3 + i**2 + i. Calculate a(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/15750 and -2\/97125?\nAnswer: 582750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1784 divided by -446004?\nAnswer: 446\/111501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2067 smaller than -2068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 26. Suppose -w + r = w, f + 3*w = 6. Let z = f + 13. Solve 0*g + o + z = g, -5*o + 1 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 64.\nAnswer: -23\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -1216, -4058, -9596, -18730, -32360, -51386?\nAnswer: -76708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -247*j + 8. Suppose u = 5 - 3. Let k be -2*u\/(-4)*-1. List the prime factors of o(k).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (17\/15 + 1). Let m = -4 - -5. Let d = m - 1. Which is the second smallest value? (a) d (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 1\/10*k**5 - 1\/3*k**4 + 3*k + 0*k**2 + 1\/3*k**3 + 0. Determine w so that z(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -777 - -844. What is the highest common factor of g and 871?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1336*g**3 + 196*g**2*w**2 + 2*w**2 + w - 6840 wrt g.\nAnswer: -4008*g**2 + 392*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15173 - -2?\nAnswer: -15171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168052382 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86466409.\nAnswer: 31, 2789239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:16 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -215391*h + 305. Let c(o) = -2*o**2. Determine a(c(s)).\nAnswer: 430782*s**2 + 305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -16*b - 1055. Let d be u(-66). Which is smaller: 33 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 7*y + 4*b - 14618, 3*y = -5*b + 7315. Is y > 2435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 109, 431, 1177, 2569, 4829, 8179?\n\"Answer: 37*a**3 - 10*a**2 + 93*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2. Let y(s) = 24*s + 6 - 51*s - 4 - 93*s. What is y(w(r))?\nAnswer: -120*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m + 36*m = -60. Let o(q) be the first derivative of -m*q - 40\/3*q**3 - 2 - 13*q**2. What is k in o(k) = 0?\nAnswer: -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l**2. Let k(t) = -6*t. What is k(y(r))?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 14. Calculate b(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {y: 2, m: 2, x: 10, r: 4, d: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*a**5 + 154*a**5 + 62*a**5 + (3*a**4 - 3*a**4 + a**4)*(-2*a + 3*a + a).\nAnswer: 315*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 2488691 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -11588?\nAnswer: -11581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429142 is divided by 381.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 12*p**2 + 11.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/53 in -122, 0.13, 1\/6?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(572) + 4*sqrt(572) + sqrt(572) + sqrt(572))\/sqrt(11) + (sqrt(208) + sqrt(208)*4)\/sqrt(4))\/((sqrt(100) + 2*sqrt(100))*2*-5))**2.\nAnswer: -4*sqrt(13)\/25 + 677\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 11*l**2 - 23*l + 30. Is 33 a factor of d(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3 + 21. Let x be (r\/5)\/(10\/175). Solve -5*t - x = -6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15758 is divided by 4849.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.9 in 4, -2\/17, 0.5, -3\/2, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -50, -68, -88?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -120? (a) -139 (b) 3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 56332 (b) -5 (c) -2\/631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19383 is divided by 589.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 2 (c) 5 (d) -0.5 (e) 5\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-2)\/4 - (-3)\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/3 + 58640*d**2\/3 + 117277*d\/3 + 19546 = 0.\nAnswer: -58638, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, g: 2}. Give prob of picking 2 k.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 9335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by 122.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -8.93. Let d = b + -2.43. Let l = -1.4 - d. What is l rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11)*b**(-2\/7))\/(b*(b*b*b**34)\/b*b**(6\/23)) assuming b is positive.\nAnswer: b**(-65046\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than 2953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 2*q**2 - 2*q - 4. Let p be l(-2). Solve v - 2*v = p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1.1 (c) 0.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74244 is divided by 2119?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783 - 5138 + 0*c**3 - 992 - 2*c**3 - 8671.\nAnswer: -2*c**3 - 15584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 + -100. Which is the closest to -0.1? (a) -2\/5 (b) 0.02 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -27*o + 31*o - 21, 0 = -5*o - i + 15. Let d be ((-754)\/o - -1)\/((-12)\/1560960). What is d rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95291.13m to nanometers.\nAnswer: 95291130000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3 - 11612*y**2 - 16344408*y + 1492773552 = 0. What is y?\nAnswer: -2946, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92 or 1?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 7720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + 3 - (5 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1103 - 24217\/22. Find the common denominator of -49\/8 and g.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p - 7. Let g be 43 - 42 - (-2 - (-4)\/2). Let d be v(g). Suppose 3*w + w + 20 = 0. Put d, 1, -4, w in decreasing order.\nAnswer: d, 1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**3 + 3*o**3 - 11*o**3 + o + 0*o**3 to c*o**2 + g*o**3 + f + d*o and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -516, -867, -1216?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023686 rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3)*(-810)\/12. Let n(c) = 5*c**3 + 4*c**2 - 11*c - 14. Let q(t) = -55*t**3 - 45*t**2 + 120*t + 155. Let d(h) = s*n(h) + 4*q(h). Factor d(f).\nAnswer: 5*(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 404827843 to the nearest integer?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*z + 5*d, -2*z - 10 = 5*d + 45 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/2 + -5)\/7. Let m = 0.174 - 5.174. Which is the smallest value? (a) m (b) v (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/6 + 13842*m - 3064710.\nAnswer: -(m - 82830)*(m - 222)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 20.993?\nAnswer: -2.0993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12246 and 62172.\nAnswer: 808236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*f, -101*t + 97*t + 5*f + 3609 = 0. Calculate the greatest common factor of 848 and t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1, 7 in decreasing order.\nAnswer: 7, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 226.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -26*v**3 + 517*v**2 + 59*v + 66. Let f be b(20). Let h = -3 + 2.9. Which is greater: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -3, 1598798, -1 in decreasing order.\nAnswer: 1598798, 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pap when three letters picked without replacement from {m: 1, z: 1, a: 1, x: 1, p: 2, i: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 8:42 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569623 to the power of 1\/2, to the nearest integer?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4 - -3) + 3 - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, 2, 32, 86, 170?\n\"Answer: s**3 + 3*s**2 - 4*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8885901 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211510 - -39596. Let z = 628086 - x. Round z to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(392) + 0) + 0 + (sqrt(162)*2 + sqrt(32)*5)**2 + 2.\nAnswer: 42*sqrt(2) + 2890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 31*w**2 - 31*w - 233. Is v(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -12 + -6 - 3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -487149 or -487147?\nAnswer: -487147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 times -0.2?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 368\/9. Find the common denominator of (-369)\/60 + 2\/5 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297803 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 187 (b) 0 (c) -28 (d) -2\/7 (e) 0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -830 divided by 3?\nAnswer: -830\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 - 7*n + 6. Let w be l(2). Let b be (4\/1192)\/(5\/w). Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -261, -381?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7029*b**3*i**4 + 1763*b**3*i**3 + 59773*b**3*i**2 - 1089*b**2*i**2 wrt i.\nAnswer: -168696*b**3*i + 10578*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*(n\/(n*n**(-1)))\/n*n)\/n*n))**(-18)*n*n**(-6)*n*n**(1\/8)\/n*((n**(-5)*n)\/n*(n\/(n\/n**4*n))\/n)**(-1) assuming n is positive.\nAnswer: n**(129\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, 2, -3, -5, 1 in increasing order.\nAnswer: -165, -5, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 500, 746, 992, 1238?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**4 - 44*c**3\/3 - 2*c**2 + 44*c - 1903. Factor d(o).\nAnswer: 4*(o - 11)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**(-2\/5))**(2\/153))**(-1\/37) assuming r is positive.\nAnswer: r**(-26\/28305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142879 is divided by 528?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51098 and 148008?\nAnswer: 4292232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 1, b: 3, y: 1, t: 2, h: 3}. Give prob of picking 1 n, 1 b, and 1 t.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/275 and -80\/99.\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**2\/3 - 58399*i\/3 - 642268\/3 = 0.\nAnswer: -58388, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*i - 2\/9*i**4 + 10\/9*i**3 - 8\/9*i**2 = 0. Calculate i.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 + 5 - 5 + (-4*d**2 - d**2 + 3*d**2)*(-134*d - 7*d - 90*d) as x*d + s*d**2 + n + r*d**3 and give r.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5 - 1. Sort 3, 6, -1, z in descending order.\nAnswer: 6, z, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 16*f**2 + 21*f - 15. Let g be b(-15). Let d = -7 - g. Calculate the highest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*t**2*x**2 - 3*a**3*t*x - 3*a**2*t*x**2 + 372926*a*t*x**2 - 9860867*t**2 wrt t.\nAnswer: 2*a**3*x**2 - 19721734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:51 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + q**2 - q**2)*(1 - 1 - 1)*(-2*q - q + q)*(-12 - 6 + 0)*(-3 + 1 + 1)*(-6*q + 3*q + q).\nAnswer: -216*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**2 + 3*z**3 - 9*z**4 + 15*z**4 - 7*z**4 + 1 in the form n*z + x*z**4 + q*z**3 + p*z**2 + c and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 204*t**3 + 8*t**2 - 10*t + 11. Is l(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 126580 - 40900. Is z a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7361023931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c4 - -4?\nAnswer: -3c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*(sqrt(136)*-1 - sqrt(136)) + 5*-2*sqrt(136))\/((sqrt(8) - (sqrt(648)*3 - sqrt(648))) + -6*sqrt(288) + sqrt(8)))**2.\nAnswer: -45*sqrt(17)\/13 + 18277\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + z = 0. Let n = -0.08 + 4.08. Let j = 0.1 + -0.2. What is the closest to z in n, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/(-5))*174\/(-203).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16769747009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74.49 - 1326.59. Let o = j + -1.92. Let n = o - -1403.000623. What is n rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 443 - 13?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110444955 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073250 divided by -1590?\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 8. Let n be a(13). Suppose 52 = 5*y + 3*r, -n*y - 5*r = -0*r - 60. Suppose 7*p - 60 + 25 = 0. Put p, 0.4, y in descending order.\nAnswer: y, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 18*k**2 - 1776*k + 98563. Let w(t) = -44*t**2 + 4440*t - 246408. Let j(i) = -12*m(i) - 5*w(i). Factor j(o).\nAnswer: 4*(o - 111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2700 - 4285 - 11118 = 3919*c + 26487 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i**(-2\/15)\/i)\/i))\/i*i)\/i**(1\/9))**(2\/79)*((i**(-2)\/i)**(-21\/8))**(2\/37) assuming i is positive.\nAnswer: i**(264221\/526140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6649 - 6649. Solve c = 6*v - 3*v + 2*u - 22, -v = 5*u - 29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 468 and 3501960?\nAnswer: 136576440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 11. Let r be m(4). Suppose g - 5*a = 4*g - 10, -12 = r*a. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/5965 and -13\/118107.\nAnswer: 590535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -0.18. Let p = -1.48 - b. Which is bigger: p or 11\/2?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210) + 5*sqrt(210)*-2)\/(2*sqrt(490) + sqrt(490) + sqrt(490)))\/(-1*(sqrt(192) - -2*sqrt(192))*3).\nAnswer: sqrt(7)\/224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5500)*-2*4)\/(sqrt(44) - sqrt(396)\/sqrt(225))*-6.\nAnswer: 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 12 = c. Let i = c - 9. Solve 4*u + i = -13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrs when three letters picked without replacement from {r: 2, v: 4, s: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 5*x + x)*(0*x - 7*x + 0*x + (0 + 1 - 3)*(-x + 0*x + 2*x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8966 + -1153?\nAnswer: 7813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*n - 6 = 0, 2*n + n + 15 = a. Let k = a + -6. Solve k*f = -4*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 31*w**2 - w**4 + 31*w**2 - 5*w**3 + (-w**4 + w**4 - 2*w**4)*(-2 - w + 2) + 34*w**2 + 9*w**5 - 34*w**2.\nAnswer: 13*w**5 - w**4 - 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -255653.83 and -0.1?\nAnswer: 25565.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 9:18 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a*p**2*s - 3*a*p**2 - 5*a*p*s**2 - 2*a - 4*p**2*s**2 - 5*p**2*s + 2*s**2 + 2 wrt s.\nAnswer: -10*a*p - 8*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 414627538 rounded to the nearest 10000?\nAnswer: 414630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + -6 + (14 - 27).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 486*f**3*u - 11*f**3*x - 826*f*u**2*x + 2*f*u**2 - 2*f*u - 4*u**2 wrt x?\nAnswer: -11*f**3 - 826*f*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8861 times 0.3?\nAnswer: 2658.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 243*l**3 - 6*l**2 - 6*l + 5. Let y(q) = -244*q**3 + 9*q**2 + 9*q - 6. What is 3*n(p) + 2*y(p)?\nAnswer: 241*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 + 958*c**2\/5 + 2544*c + 35424\/5.\nAnswer: -2*(c - 492)*(c + 4)*(c + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, 1\/5, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210587\/55 - 3829. What is the third smallest value in -1\/5, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 0 + 0*p - 2\/9*p**2 - 2\/9*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 23. Let p be 8 + (-13 - -1) + 4. Put 1, i, p, 5 in decreasing order.\nAnswer: 5, 1, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 577716733 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 8*f**2 + 10*f - 13. Let c(k) = 3*k**2 + 2*k - 401. Let n be c(-12). Calculate o(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -460*m = -458*m - 285394. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.37602055 to one decimal place.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 13212634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.53911 - -0.31578. What is s rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-45 - ((-22)\/8)\/(330\/(-2640))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 29 = 37. What is the smallest common multiple of h and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 595343, 1190563, 1785773, 2380967, 2976139?\n\"Answer: -x**3 + x**2 + 595224*x + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 3) + (38 - 39).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 50. Let f(h) = 2 + 14*h**c - 6 + 5. Determine f(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 456, 4, -3, 2, 0.\nAnswer: -3, 0, 2, 4, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/21 + 2140\/35 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 4. Let j(c) = 1. Let n(h) = -3*j(h) - m(h). Let b(t) = t - 4. Let s be b(6). Suppose s + 6 = 2*d. Let y(z) = 3*z - 3. Give d*y(k) + 11*n(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -2*i**3\/33 + 16*i**2\/11 - 128*i\/11 + 14. Factor j(m).\nAnswer: -2*(m - 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-1 - 8) + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*d = 412*d - 38410. Which is greater: d or 2995\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) - 2*(2*sqrt(40) + sqrt(40)))\/((sqrt(8) - (sqrt(8) + -2*sqrt(8)*6)) + sqrt(8)).\nAnswer: -5*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s + 36. Determine j(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 21 = -3*p + 2*n, 0 = 4*p - 3*n - 21. Suppose -3 = -z, 5*z = -p*w + z + 24. Solve 0 = -5*y + w*y + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -46\/5 and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:48 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1632 and 2176?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 2232*j**2 + 688*j**2 + 5*j**3 + 0*j**3 + 886*j**2 + 897*j**2.\nAnswer: j**3 + 239*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 2 (c) 6\/11 (d) 5 (e) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -28*y + 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -0.4, -3, -0.042, -2\/3, -1\/2?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 3. Let p(f) = f**2 - 6*f + 7. Suppose 0 = -4*r + 2*u - 2 + 32, -3*r + 2*u + 24 = 0. Calculate the remainder when d(-5) is divided by p(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(152))\/sqrt(8).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - 0.3.\nAnswer: -28.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -434, -861, -1262, -1637?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 43154 = -366*t - 169*t - 8247 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5 + 432*d**4 - 2122*d**3 + 2524*d**2 + 1704*d - 3376 = 0.\nAnswer: -1, 2, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 10*x**2 - 62*x + 223. Calculate m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3080 or 329580\/107?\nAnswer: 3080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 9*p**2 + 8*p + 6. Let w be c(-8). Differentiate 1 - w + 4*q**2 + 0*q**2 wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 67 = -4*h, f + 0*f = h + 44 - 28 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*v - 1914 = -0*p, -2*v = 4*p - 1542. Suppose 4*u = q + 320, 5*u + 2*q - 16 = p. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 67 - 11. Let x = 12 + l. What is the units digit of x\/(-6) - 62\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -95, -165, -235, -287, -303?\n\"Answer: 3*t**3 - 27*t**2 + 8*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/60*(-27)\/(-12). Let i(w) = w**2 - w - 4. Determine i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 609 and 706179?\nAnswer: 4943253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, 0.748, 128, -0.3?\nAnswer: 0.748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/4065, -1, 2\/7, -17, -13.\nAnswer: -17, -13, -1, -2\/4065, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56791 - -339050. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37120)\/(-23200)*(26\/16)\/1?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*b = 120, -2*z + 19*b = 10*b + 11*b + 144 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnh when three letters picked without replacement from {h: 6, n: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8157 divided by -3\nAnswer: 2719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose o*s = 2*s + 10. Calculate the smallest common multiple of 18 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76*g*q*u**3 + g*q*u - 13*g*q - 5*g*u**2 - 1298*u**3 wrt q.\nAnswer: 76*g*u**3 + g*u - 13*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -121?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 472.67 rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 32*g**2 + 90*g - 88. Let w be t(29). Let p(x) = -x**3 + x**2 + x + 1. Let d(j) = 95*j**3 - 114*j**2 - 114*j - 114. What is w*d(h) - 114*p(h)?\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2695)\/77*((-49)\/(-35))\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 66. Let v be (0*1\/2)\/(-1). Let t = v - p. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-14)*m**(1\/20))\/(m\/(m*(m**(-3\/4)\/m*m)\/m))**(-2\/51) assuming m is positive.\nAnswer: m**(-14159\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 2704 = -23*t. Let w = -2027\/6 + t. Factor 0 + 0*y**2 + w*y**3 - 1\/6*y.\nAnswer: y*(y - 1)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*q**4 + 14*q**2 - 31*q**2 + 24*q**2 - q**5 + 2*q**5 wrt q.\nAnswer: 60*q**2 + 1632*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 131*c + 10. Let j be v(8). Suppose -j = -2*f - 18. Round f to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712721.\nAnswer: 11, 246611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -3. Suppose g = 2*d + 2. Let m(b) = b**2 - 4*b - 5. What is the remainder when m(-4) is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7\/g)\/g**(-2\/17)*g**(1\/11)*g**1)**(-9\/5) assuming g is positive.\nAnswer: g**(-12132\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + -31 - (5 + -14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121256082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1378340 is divided by 459428?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4538*a = 4556*a + 288 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 61 = -p, 2*p + 22 - 78 = 2*x. Let v be ((-4)\/6)\/2*x. Suppose -4*a = -3491*d + 3496*d - 41, 3*a = -2*d + 22. Solve -d*f - 4 = v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 6.2 (b) 0 (c) -7472 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*d = 62, -2*d + 12 + 20 = 4*p. Solve 4*i - 4*w + 2 = p, 14 = i - 5*w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -28*a - 22*a - 27*a - 19*a + 81*a. Suppose 2*y = 4*f - 6, -y - 4*y - 20 = -5*f. Determine t(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3808\/1314 - (1 + -2 - -4). Let l = -2\/219 + f. What is the third smallest value in -1.7, -0.1, l, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/104532 and -49\/3348?\nAnswer: 940788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**2. Let z(y) = 37370429*y**2. Give w(z(v)).\nAnswer: 4189646890932123*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -303 + 275. Let u be (j\/(-112))\/((-1)\/(-9)). Solve 8*p**2 - u + 3\/2*p - 8*p**3 = 0 for p.\nAnswer: -1\/2, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = -k. What is the second derivative of k*b**3 + 3*b + 69 - 69 wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**3 + b**2. Let r(g) = -29*g**3 + 17*g**3 + 3*g**3 + 8*g**3 + 0*g**3. Determine 3*r(y) - s(y).\nAnswer: 2*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/23)\/((-22)\/(-572)*13).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.1 and -13802732493?\nAnswer: 13802732491.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/1*-60. Suppose 6*v - 128 - m = 0. Calculate the remainder when v is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1615844 and -73\/16?\nAnswer: 6463376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477*-0.2.\nAnswer: -95.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6883*w - 310039 = 64180 - 64484 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 9:14 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2740 and 178453460?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = n. Suppose -5*s + 0 + n = 0. Is 1 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 0*t**5 - 145*t + 0 - 1\/6*t**3 + 0*t**2 + 43\/10*t**6 - 59\/12*t**4. Find the third derivative of c(u) wrt u.\nAnswer: 3096*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*w - 3. What is the third derivative of 6*i**3 - 2 + 3*i**2 + w - 4*i**3 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*v**3 - 174*v**3 + 352*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4\/3 + 47*m**3\/3 - 185*m**2 + 973*m\/3 - 464\/3 = 0. Calculate m.\nAnswer: 1, 16, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 + 2*j + 2*j**2 + 16*j**3 - 4 - 12*j**3. Let n(d) = -5 + 3*d + 0*d**2 - 4*d**3 - 3*d**2 + 9*d**3. Let o = 3 - 6. Give o*r(f) + 2*n(f).\nAnswer: -2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 766668 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 318764 and 4348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a65061 - 5?\nAnswer: 6a65059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 77?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.08, 1.9, 17?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -8. Solve 0 = -14*m + 10*m - o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 91.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/3 + 566*a**4\/3 - 38852*a**3\/3 - 82264*a**2\/3 + 155440*a\/3 + 320000\/3 = 0. What is a?\nAnswer: -2, 2, 125, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1100011001101 (base 2) to base 16\nAnswer: -18cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -199?\nAnswer: -3\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 5*f + 17, n - 12*f = -7*f + 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60 and -40.\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1121\/36 - -135\/4. Let l = 31965\/8 + -4002. Let q = 331\/40 + l. Find the common denominator of q and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 5*d + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33252687 by 13.\nAnswer: 2557899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*v + 0 - 4\/3*v**2.\nAnswer: -2*v*(2*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 0.0691 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -23332 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268*h - 125*h + 100*h to s*h + k and give s.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiitt. Give prob of picking 1 t and 1 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1496821 = f, 0 = 3*m - 2*f - 2*f - 2245215. Let v = m - 418409. Round v 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 1580.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**6\/60 - i**3\/2 + i**2\/2 - 3. Let h(d) be the second derivative of x(d). Find the first derivative of h(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 30*t**2 + 42*t + 117. Calculate l(-31).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 9 - 6 - 7) + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 7. Let s be h(-5). Let p be (s\/(-6))\/((-1)\/(-6)). Differentiate 5 - 3*c**p - 3 - 5 + 0*c**2 wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**4 - 14*g**2 + 129?\nAnswer: 4*g**3 - 28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4032102 (base 5) in base 2?\nAnswer: -1111110010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 269, 537, 805, 1073?\n\"Answer: 268*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 201143987 * -4\nAnswer: -804575948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, -3, 2, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69827 is divided by 269.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 27. Let p be m(-11). Let b(t) = -11*t**4 + 17*t + 11. Let h(l) = 2*l**4 - 3*l - 2. Let a(n) = p*b(n) - 34*h(n). Differentiate a(u) wrt u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/8 - 99\/88.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7175*s**2. Let w(t) = -2*t**2. Calculate x(w(n)).\nAnswer: 28700*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.658 less than or equal to -392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -154 in 1, 5, -0.2, 1.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -23. What is the smallest common multiple of 22 and y?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 45 + (2 - 7) + 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -990992*v**3 + 5*v**2 - 320*v + 327 wrt v.\nAnswer: -5945952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*y + 24 = 0, 3*y - 2*y = -3*d + 8. Let r be (3\/6 + d)*4. Let k = 6 + r. What is the highest common divisor of 84 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 23. Let m(h) be the third derivative of -h**6\/120 + h**5\/12 - h**4\/12 + 7*h**3\/3 + 27*h**2. What is the lowest common multiple of m(4) and v?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.1 + -502\nAnswer: -496.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/251 and 15\/2008?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 - 111. Let z be (-3)\/((-2)\/4*1). Is z at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2877 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4) + -28 + (25 - 43) + -19\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*f + 8*f + 456. Suppose 3*p - 1370 = -o, 0 = 5*p - 3*p + 3*o - 918. What is the greatest common divisor of f and p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 17*c - 37*c + 121*c**2 - 14*c - 123*c**2 - 31. Let b(u) = u + 7. Give -14*b(m) - 3*l(m).\nAnswer: -2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 1, n: 2, p: 9}. What is prob of picking 3 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(-5))\/(20\/165) and -8\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:20 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 162 and 258?\nAnswer: 6966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46522 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27302577*s**5 + 182959*s wrt s.\nAnswer: 546051540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 3 - 3 + 7*d - 3*d - 2*d + (0 + 0 - 2*d)*(-6 + 3 + 1) + 2*d + 0 + 0 + 2*d + 0*d - 4*d - 4 - 2*d + 4 + 3 + 3*d - 3 - d - 3*d + 2*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*q + 71*q + 4. Let l = 24 + 5. Let d = 30 - l. Which is the nearest to q? (a) 1\/7 (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*r + 86071 = -241*r. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -1\/120*s**5 - s - 1\/2*s**3 - 5\/48*s**4 + 7*s**2 + 0. Factor z(f).\nAnswer: -(f + 2)*(f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m + 126 = 36*m. Does 8 divide ((-102)\/m - -4)*36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from {q: 2, g: 7, f: 2}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(2 + (-4 - -4)). Solve o - 1 + 2 = n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425684980 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*a - 196617 = 2754*a + 3050*a + 159018 for a.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*b + 5*b - 2*b)*(2*b + 0*b - 7*b)*(-1 - 3 + 1).\nAnswer: 15*b**2 - 45*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**6\/2 + 6*k**5\/5 - 3*k**4\/4 - 2*k**3 - 31. Factor j(v).\nAnswer: 3*v**2*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149804781 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + f + 132 - 2*f - 110 as n + d*f and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 6*k**2 - 7*k - 7. Give d(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087364 to the power of 1\/2, to the nearest integer?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 44. Let a(f) = -f - 7*f + 4 + 9 - 13. Calculate a(t(i)).\nAnswer: 8*i**2 - 352","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m - 14 - 445 - 171 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 7.5547.\nAnswer: 7.2547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*u**2 + 82*u**3 + 368*u**2.\nAnswer: 82*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -16 - 9) + 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i**3\/2 + 3918021*i**2\/2 + 255846967197*i\/2 - 153509590809\/2 = 0 for i.\nAnswer: -130601, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 251*x**2 - 9*x - 3. Let g be 70\/56*(9 - 1). Suppose -3*h = -4 + g. Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-413)\/(111510\/100))\/(4\/18)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**4 - 23352*a**2 + 65416*a - 2 wrt a?\nAnswer: 12*a**2 - 46704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 2*b**2 - 2*b - 5. Calculate the remainder when 36 is divided by s(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235800 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let s = 8630.09 - 8630. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190 - 2384 = -241*j + 8021 + 1901 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1510, -1148, -432, 644, 2086, 3900, 6092?\n\"Answer: h**3 + 171*h**2 - 158*h - 1524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -245229, -245294, -245367, -245448?\n\"Answer: -4*c**2 - 53*c - 245172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 18, -4, 62, -43.\nAnswer: -43, -4, 7, 18, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12750 + 24273. What are the prime factors of t?\nAnswer: 3, 7, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 430941?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h + 9 = -22*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 7*f - 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-10))\/(-9)*(1 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 27 + 27 = 0. Let b(z) be the second derivative of -5\/12*z**4 + m*z**2 + 0 - z + 0*z**3. Let n(y) = y. Determine n(b(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1807007793.\nAnswer: 3, 4177, 144203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 432859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 21 + (-26 + 13 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.6 (b) 5 (c) -21426 (d) -4 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/5 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -4, -5\/2, 232 in descending order.\nAnswer: 232, 1\/4, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110110011100 + 10100110?\nAnswer: 111111001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l**2 + 61*l - 571. What are the prime factors of z(23)?\nAnswer: 2, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 600162 - -3?\nAnswer: 600165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i. Let g(c) = -87*c. What is g(b(p))?\nAnswer: -783*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 118 - 49)*(-8*x**2 + x - 4*x + 5*x).\nAnswer: -936*x**2 + 234*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00167764626 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(2\/9))**(-2\/63)*(h**(2\/5))**(-1\/5) assuming h is positive.\nAnswer: h**(-2134\/14175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 4:47 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29923469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from cttettctgtxteteettt?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 9858, 1\/5 in descending order.\nAnswer: 9858, 8, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 166674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of (-3030*50\/(-105))\/(4\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46014 = 13*o - 11303. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -32 + (2 - 3 - -2)*2. Let t be 9*(-5)\/((-15)\/(-2))*b. What is the highest common factor of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 0*p - 2*p - p + 4 + 6*p. Suppose 0*o = -2*o - 6. Give q(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5 = 2*q + 2*s, 4*q + 4*s = 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5160 divided by 4\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19)*2 + 0 - -1*sqrt(19)*2) + ((-2*sqrt(76) + -5 - sqrt(76)) + sqrt(76) + sqrt(76))**2 + -4*-2*sqrt(76).\nAnswer: 101 + 41*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15368 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 41. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263+315\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 5*p + 3. Let v be (-1)\/(2\/12*3). Let o(y) be the second derivative of -y**5\/20 - y**4\/12 + y**2 - 2*y. Let d be o(v). What is h(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -8*a. Let d(o) = 5*o. Let n(k) = 3*d(k) + 2*i(k). Let r(t) = 8*t - 101. Determine n(r(b)).\nAnswer: -8*b + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/9))**(23\/4) assuming k is positive.\nAnswer: k**(23\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038946 to the power of 1\/2, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.6346 + 8.2346. Let q be 4\/2 - 228\/117. What is the third smallest value in q, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 2\/5*c**3 - 1\/5 - 4\/5*c.\nAnswer: -(c + 1)**2*(2*c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 419*u**2 - 17484*u.\nAnswer: -u*(u + 47)*(u + 372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-462 + 0 + 3). What is the common denominator of 5\/4*f\/(-90) and -1\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 9) in base 14?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 35 = w. Suppose w*p = 11*p. Is 0 equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/213 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46 or 179\/4?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 18 = 3*o, -o - 4*t = 2*o - 13. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 9552*v - 95620. What is d(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -98, -291, -612, -1061?\n\"Answer: -64*s**2 - s - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -230 - 354. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-6)*(-100)\/1650.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -31. Differentiate -1 + 8547*z - 8557*z + g with respect to z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 319 + -252. Let b(q) = -q**3 + 5*q**2 + 9*q - 1. What is the remainder when u is divided by b(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + -2 + (3 - 60). Let v = m - -127. What are the prime factors of v?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*o + 5*w + 24, -26 = -3*o + 4*w. Suppose 46675 = 4*t + 3*m, o*m - 3*m + 58330 = 5*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -4 (c) 3 (d) -1\/12 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 487912341 to the power of 1\/2, to the nearest integer?\nAnswer: 22089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s + 366. Let q(p) = -15*p + 735. Determine 6*q(c) - 11*r(c).\nAnswer: -2*c + 384","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/13)*q)\/(q*q*q*q\/(q\/(q*q\/(q\/(q*q**(5\/7))*q*q*q))*q)*q*q*q*q)*(q**1)**(6\/7) assuming q is positive.\nAnswer: q**(-274\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 29. Let l(k) = -12*k**2. Give z(l(h)).\nAnswer: -12*h**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**4\/24 + 4*s**3\/3 - 3*s**2. Suppose 4*h - 4*u + 2*u + 34 = 0, -4*u = -4*h - 28. Give q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/((sqrt(99) - (2*sqrt(99) + sqrt(99))) + sqrt(11) + sqrt(11)) + sqrt(640)\/sqrt(8) + -5.\nAnswer: -5 + 15*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Suppose -256 = -14*k + 6*k. What is the highest common factor of i and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**2 + 0*y**2 - 6*y**2 + y**2 + y - y + (9*y + 119*y + 83*y)*(3*y - 3*y + 2*y).\nAnswer: 421*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 726*r - 13. Let g be z(-20). Let k = 157037\/11 + g. Let c = k - -32603\/132. Find the common denominator of c and -101\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -989*j + 1972*j - 984*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huh when three letters picked without replacement from {h: 7, u: 6}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122\/329 + -4\/47. Let y = 1.05 + -1.05. Which is the closest to 1? (a) 5 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 849 + -132. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = -7*w + 8 - 0, -10*z - w + 83 = -7*z - 8*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 5)*(-29 - 21*y**2 + 29).\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121110022 (base 3) in base 2?\nAnswer: 10111011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) 3 (c) 1\/6 (d) -0.02 (e) -2053\/3 (f) -7 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j + 17. Let o(m) = m - 7. Let f(g) = -g + 8. Let k(w) = -4*f(w) - 5*o(w). Give -6*i(s) + 34*k(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 83 + 1?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 154880 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 307198*k**2 - 921608*k + 614408.\nAnswer: 2*(k - 2)*(k - 1)*(k + 153602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135 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: Solve -76 = 2*i - 12*f + 17*f, 3*i + f = -23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 1. Let h(u) = 14*u**2 - 21. Let j(d) = h(d) + 21*w(d). Let m be j(-1). Let s(q) = -7*q - 4. Is s(m) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11520422 + -23?\nAnswer: 11520355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 15. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 129, 1429, 4949, 11799, 23089, 39929, 63429?\n\"Answer: 185*i**3 + 5*i - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -41177*i + 30. Let n be y(15). Let p = n + 1023631. Let j be p\/14 - (-33)\/(-77). Round j to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4 - 740\/(-40). Let q(t) = 43*t + 319. Is q(o) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (-4 - (-3 - -1)). Let u = 367 + -361. Let v be -3*u\/(-144)*-2. Which is the closest to 3? (a) i (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7684 to two decimal places.\nAnswer: -1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110101110 - 101110?\nAnswer: 1000110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:18 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubdbnluununxxd. Give prob of sequence ux.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -3*b + 3*b - 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-8)\/z**(-3\/19))\/(z**(1\/6)\/z)**(-2\/23) assuming z is positive.\nAnswer: z**(-10376\/1311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 63.0232. Round c to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 291, 530, 839, 1224, 1691?\nAnswer: 2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26252, 26253, 26254, 26255, 26256?\nAnswer: 26257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 4*s + 8. Let z be s\/(((-3)\/5381)\/(-3)). Suppose -z = 4*c + p - 66758, 5*p - 27980 = -2*c. What is c rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -8, -11, -16, -23?\n\"Answer: -l**2 + 2*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/953125 and 31\/244.\nAnswer: 3812500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -12. Let n be (-15)\/(-9) + (-2)\/q. What is the third derivative of -2*y + 3*y + n*y**6 - 3*y**2 - y wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -30, -70, -134, -228, -358, -530, -750?\n\"Answer: -n**3 - 3*n**2 - 6*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 488 = 74 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -13*n**2 + 17\/6*n**3 + 1\/4*n**4 + 0*n - 1\/120*n**6 - 1\/12*n**5 + 0. List the prime factors of t(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9*i**(-8\/9)*i assuming i is positive.\nAnswer: i**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/20)\/(48\/(-80)). Let x = 188\/165 + -14\/11. Which is the second smallest value? (a) v (b) -1 (c) 5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/11 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 7*d**2 + 5*d - 3. Let h(w) = -22*w - 63. Let n be h(-3). What is f(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + r**3 + r**3 + 8*r**3 - 2*r to the form y*r + u*r**3 + o*r**2 + x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(252) - 1*sqrt(252) - sqrt(252)) + 2)**2 + ((sqrt(84) - sqrt(84)*1)*-3)\/((-1*sqrt(12) - sqrt(12) - sqrt(12))*5).\nAnswer: -512 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72)\/(sqrt(36)\/(sqrt(9) - sqrt(144))))\/((sqrt(576) - (sqrt(576)*3 - sqrt(576))) + sqrt(99)\/(sqrt(11)*-1)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -56. Let c be b + (-7 - 2)\/(-3). Suppose c*w - 6*w = 184. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 15, 5*i = -5*c - 4 - 11. Let u be (-2)\/c - 16\/(-24). Solve -5*y - u = -16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-84)\/5)\/(-7) - (-4)\/(-10). Calculate the highest common divisor of 4 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 7\/35*1 + 339\/5.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63.33 from 249553.\nAnswer: 249616.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000491382313 to seven dps.\nAnswer: 0.0000491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - 3628*m - 91 + 3628*m + (-3 + 3 - 1)*(-2*m**3 + 2*m**3 - m**3).\nAnswer: 3*m**3 - 91","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-14)*77*40\/660.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*o**2 - 78*o**2 - 124*o**2 + 79*o**2 + 2*o as i*o + d + u*o**2 and give u.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 2*y - 2*y + (-2*y + 4*y - 4*y)*(637 - 637 - 97*y) + (-3*y - y + 5*y)*(-2*y + 4*y - y).\nAnswer: 194*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*((3 - 8) + 4). Suppose n*o + 718 - 7594 = 0. List the prime factors of o.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 197.8? (a) 2\/19 (b) -3 (c) -196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 371362573*g. Let r(c) = -2*c**2. Determine p(r(u)).\nAnswer: -742725146*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 2*k**2 + 7. Let z be p(0). Let a(h) = h + 12. Let l be a(-9). Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 968 divide 2204611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let v(c) = 183 - 10*c + 2*c + 5*c + 2*c. What is v(j(w))?\nAnswer: -w + 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - -59. Suppose -q*x = -3*x - 10, -4*a + 5*x - 17 = 0. Solve -3*y + 2*p - 14 = p, 5*y + 23 = a*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1.9733?\nAnswer: -0.39466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 186619, 186627, 186643, 186667, 186699, 186739, 186787?\n\"Answer: 4*x**2 - 4*x + 186619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0, 10, 2\/3, 9 in increasing order.\nAnswer: -0.2, 0, 2\/3, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 27*b**2 + 64. Let t be g(27). Let c = t + -61. Solve 0*a + 15 = c*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -534 - -534.5. What is the fourth biggest value in 0.4, w, -5, 0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -109*i + 110*i + 3 + 9. Let x be n(7). Calculate the greatest common divisor of 171 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24689 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 66071824?\nAnswer: 66071825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97331 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4185+-1.53334\nAnswer: -4186.53334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35756.1 rounded to the nearest 100?\nAnswer: 35800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x. Let d(n) = 5*n**2 - 6. Let v(h) be the first derivative of 4*h**3\/3 - 5*h + 4. Let r(t) = 5*d(t) - 6*v(t). Calculate g(r(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46128 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -172552110.1 - 3.\nAnswer: -172552113.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76728\/(-278)*(-3)\/36.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (16 - (-20 + -24 + 18))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-6))\/(-4 + (-3878)\/(-968)). Suppose 7*c - 1677 = -y. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -136, -1029, -3448, -8155, -15912, -27481, -43624, -65103?\n\"Answer: -127*x**3 - x**2 - x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.5. Suppose 6*n - 2*n - 80 = 0. Suppose -g = 3*g - n. Which is the closest to -0.1? (a) 1\/3 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b*b**(-4\/3))**(-27) assuming b is positive.\nAnswer: b**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832c (base 16) to base 11.\nAnswer: 23258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46258*d + 376412.\nAnswer: 46258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64962 is divided by 213.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.050169461, -0.5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(64)\/sqrt(2))**2.\nAnswer: -32*sqrt(2) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 9*a - 3. Suppose a*u - 5 = 7. Solve 0 = -u*f + 3 + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71 by 345531.\nAnswer: -71\/345531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxrz when four letters picked without replacement from zxxzzxrrxzpxxrcrxxc.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -1984?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 393 - 393.000269. Round r to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 3*z + 0*z + (0*z + 3*z - 5*z)*(2 - 3 + 2).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-21))**(-11\/6))**(-44) assuming a is positive.\nAnswer: a**(-1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*j**2 - 55*j**3 + 297*j**2 - 139*j**3 - 150*j**2.\nAnswer: -194*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2. Let h(c) = -84934848*c**2. Calculate k(h(o)).\nAnswer: 14427856809566208*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -8) + 1*-2. Suppose -3*k - 5*p = 9, 0*k - 3 = k + f*p. Let j(n) = n**2 - 3*n**2 - 2*n - 2*n - 1. Determine j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2842 + 6194. What are the prime factors of r?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102213 - 1?\nAnswer: 102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1120 and -19\/490.\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 22 in increasing order.\nAnswer: -10, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b - 570 = -50*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 1 n when three letters picked without replacement from mmnmfmjnndpf.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 + 5*q. Let u be h(-4). Suppose u = -n + 44. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -8*o**3\/7 + 282*o**2\/7 - 1270*o\/7 + 300\/7 = 0?\nAnswer: 1\/4, 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14376799681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**9)\/(h\/((h*h**(-8)\/h)\/h)))\/(h**(2\/7))**49 assuming h is positive.\nAnswer: h**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 164 = 112*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 140887 or 140840?\nAnswer: 140840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 17*v + 408. Let d be u(-24). Suppose f = -3*j + 10, d = 12*j - 8*j - 16. Sort 4, -11, f in decreasing order.\nAnswer: 4, f, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -0.08, 3\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + 1 - (-24 - -12) - (-2843 - -2938).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(6\/(96\/4))\/((-49)\/(-56)*-22)?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -14. Suppose 0 = 2*o - 3*y - 2, -5*y + z - 4 = 0. Solve k - 4*n - n = -19, 0 = n - o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-14440)\/114)*2\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**(-2\/7))\/m))**(1\/43)\/((m\/m**4*m)\/m**(1\/4)))**(-12) assuming m is positive.\nAnswer: m**(-8187\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 20*j - 16*j - 21, -19 = -4*b - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1471, 2917, 4351, 5767, 7159, 8521?\n\"Answer: -m**3 + 1453*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82? (a) 1.1 (b) -0.4 (c) -0.2 (d) 1\/2 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d + s + 1281, -s - 1024 = -4*d. Let w = d - 65. Is 28 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489798033 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -1.4. Let n = -7958 + 7957. What is the nearest to l in 0.1, n, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 3*c + 0*c. Suppose 0 = -0*h + 3*h + 4*b + 116, 2*h - b + 70 = 0. Let x be (-108)\/(-42) + h\/63. Let a(m) = 3*m + 1. What is x*l(z) - 3*a(z)?\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-17)\/5 + 4)\/(10\/19400) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -1, 9.\nAnswer: -7, -1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 49, -2 in decreasing order.\nAnswer: 49, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2 - 30*b + 4*b**3 + 32*b + 9 - 5*b**3. Let q be t(-5). Let s be (-8)\/(-52) - (-37)\/13. What is the greatest common factor of q and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 4*v**2 - 4*v**2 + 300 + 7129*v**3 - 302.\nAnswer: 7129*v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**9)\/a)\/a**(-3\/8)*(a**0\/a)\/a**(5\/4) assuming a is positive.\nAnswer: a**(73\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3\/3 + 5*c**2\/2 - 13*c - 79. Determine x(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7156 + 30687. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let j(v) = -3*v + 20. Let b(d) = g(d) + j(d). Suppose -49*p = -377 + 83. Let k(h) = -2*h + 9. Calculate p*b(l) - 13*k(l).\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (24 - 9)) + (5 + 0 - -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54166702.\nAnswer: 2, 23, 421, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 43.4 times -2266\nAnswer: -98344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -791600 divided by -410.\nAnswer: 79160\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 6*z**2 + z + 5. Let c = 4 - 9. Let q = c + 1. What is the remainder when s(q) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10678 + -10679. Let n = -1.1 - -1.1. What is the nearest to a in n, 14, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -19. Let k be (b\/15)\/((-1)\/10). Put k, -1, -5 in descending order.\nAnswer: -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, q: 11, k: 1, j: 3}. Give prob of sequence ss.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 115a9 + 1877?\nAnswer: 13375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14594 and -0.0378?\nAnswer: 0.005516532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130*c**3*r**2 - 187199*c**3*r + 50*c**2*r**2 + 29*c**2 + 485*c*r**2 - 14*r wrt c?\nAnswer: -780*r**2 - 1123194*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60255059 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3888334 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 - 5)*(-5*l + 2*l + l) + 2*l + 0*l - l)*(2*l**2 - 7 + 7) in the form q*l**3 + t + j*l + p*l**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 258, 516, 766, 1002, 1218, 1408, 1566, 1686?\n\"Answer: -n**3 + 2*n**2 + 259*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0 + 0)*(-3 + 0 + 2) - 5075964 - 3128*w + 5075964.\nAnswer: -3130*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a - 2. Let x be z(-1). Suppose -3*t + 0 = 6, -2*q + 8 = -2*t. Put q, -3, x in descending order.\nAnswer: q, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-11 - (-1 - 3) - -33)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.3 - -8.618. Let m = x - 0.118. What is the fourth biggest value in 0.3, m, 5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1543 - -2?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 991482?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 313232311 (base 4) in base 10?\nAnswer: 228277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9960 - -59909\/6. Calculate the common denominator of 25\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -21\/11 (b) 195 (c) 0.4 (d) 30 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3045 is divided by 1511?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -309 - -311. Solve -m = z*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 148.9 - 148.90803. What is l rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3149.7 - -3159. Which is the nearest to 0.1? (a) -0.01 (b) h (c) -2\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.9. Let t = 1.0007 - u. What is t rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 6*z**2 - z - 16. Let q be k(-5). Suppose 26*p - 132 = q*p. Calculate the least common multiple of 37 and p.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -275508 divided by 6\nAnswer: -45918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -382, -1451, -3530, -6955, -12062, -19187?\nAnswer: -28666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q + 12 = 0. Calculate the remainder when q is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*d**4 - 2 - 72*d**4 - 2*d**3 - 3*d**2 + 42*d**4 as u + h*d + v*d**4 + s*d**3 + l*d**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45) + -5 - (-3*sqrt(25)\/sqrt(5) - sqrt(5)))*2 - 3*2*sqrt(500)*-2) + -5)**2.\nAnswer: -4020*sqrt(5) + 90005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -7\/60*w**5 + 7\/6*w**3 + 0*w - 7*w**2 - 1\/120*w**6 - 1\/6*w**4 + 0. Give k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 29*c**4 - 3*c**3 - 3*c**2 - 5*c. Let g(j) = -59*j**4 + 7*j**3 + 7*j**2 + 10*j. Let k(q) = 3*g(q) + 7*t(q). Find the second derivative of k(n) wrt n.\nAnswer: 312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y + 2*r - 10, -4*y = 4*r - 8. Suppose 2*g - 27 = -3*g - 2*u, -5*u = y*g - 20. Which is the closest to 1? (a) -2\/3 (b) -2\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 22. Find the first derivative of 2*r - 10 - k - 6*r wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2698*m - 2704*m + 90 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-129)\/(-18) - 3 - (-3 + 7)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824688 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42825 + -12684. List the prime factors of k.\nAnswer: 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*((-2115)\/(-47))\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1545\/7 + 138973\/630. Find the common denominator of 50\/243 and q.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**5*s - 3*c**5 - c**4*s + 2*c**2*s + 140*c**2 wrt c.\nAnswer: 180*c**2*s - 180*c**2 - 24*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -5. Let t = -2 + 2. Let s be (0 + m + t)\/(-3). Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105 + 117. Let z(m) = -m**3 + 13*m**2 - 12*m + 10. Let p be z(s). Suppose 26*t + p = 31*t. Calculate the highest common divisor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnjttntjjj. What is prob of sequence tt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-312)\/208)\/((-2)\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -9*r - 2*m + 43, r - 26 = -3*m. Calculate the greatest common divisor of r and 12452.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*w**4 + 4*w**4 + 2*w**2 + 31*w**3 + 2*w - 34*w**3 in the form r + g*w**4 + k*w**3 + h*w**2 + s*w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8096*v + 2*v**2 + 8096*v - 17*v**2. Let i(q) = 20*q. Give s(i(z)).\nAnswer: -6000*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17597*x**2 - 1161397*x\/3 - 110\/3.\nAnswer: (x - 22)*(52791*x + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 1, a: 5, o: 1, c: 1, e: 9}. What is prob of picking 1 o and 1 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 - 6852\/(-21). Let u = -530 + z. Let m = u - -495. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/560*(-4)\/3*(-20)\/(-1192)*-2.\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1\/11, 653, 2\/5, 1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -851 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p. Suppose -2 + 3 = 5*o - 3*d, 4*o = 3*d - 1. Let a(j) = 21*j. What is o*a(h) + 7*g(h)?\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -274.9062 rounded to zero dps?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 881036808 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2053*14\nAnswer: 28742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 6*f - 2. Calculate w(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 25*i + 107. Let q be v(-4). Let k be 1\/(-3 + 85\/28). What is the highest common factor of k and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12568*z + 653547. Calculate a(-52).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/16 + 9\/12. Let x be 320\/60 - v\/3. Suppose 1 = -x*o + 181. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6565889.94 + -23.105\nAnswer: 6565866.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -8\/7, -12, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r, 5*g - 20 = -0*r + 5*r. Suppose z + g*m = 24, -2*m - 51 = -z + 3*m. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*d + 30 = 0, -5*l - 2*d - 5 = -2*l. Let h = -3 + 2.6. Let o = h - -0.3. Which is the biggest value? (a) o (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -240.6 + 240.76. Is -0.62 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 903960?\nAnswer: 903960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*v - v. Suppose v*l + 3 = -l. Let s be (2\/(-5))\/(l\/1). What is the third biggest value in 1, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1433332.5 * 0.07\nAnswer: 100333.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210101010 - 202202?\nAnswer: -2211010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37 and 1.731.\nAnswer: 38.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1480 - -2515. What is the highest common factor of t and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3*-3)\/(2*22\/(-8))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1905331131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 6*p - 4. Let b be z(6). Let i = 3 + b. Let s = i - -4. Is 2 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -155, -232?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87604819?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-14))\/(90\/(-126)). Let z = -2\/15 + o. Which is bigger: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.4. Let i = -343.37 - -343.67. Put t, -26, i in ascending order.\nAnswer: -26, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**2 + 4*f**2 - 5*f**2)*(f**3 + 2*f**3 + 0*f**3).\nAnswer: -18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 746 - 689. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 37*b**2 - 131*b + 30. Let o be (-440)\/(-16)*((-6)\/(-5)*-1 - 0). Determine u(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2*b = -80, 192*b = -11*w + 195*b + 106 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**7\/147 + 2*d**6\/21 + 3*d**5\/70 - 2*d**4\/3 - 20*d**3\/21 - 5109*d. Suppose n(r) = 0. Calculate r.\nAnswer: -1, 0, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 - a**2 + 1 - 2 + 2*a**2 + 3*a - 3*a + 2*a**2 - a + a + (a + 3 - 3)*(a + a + 0*a).\nAnswer: 9*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977*m + 549*m + 149548 = 0 for m.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*k + 68*k + 728 + 2927 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 25656 = -5*i, 21*i - 12828 = -2*w + 17*i. List the prime factors of w.\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/6)*f**(-5)*f)\/(f**(-2\/7)\/f)**0)**(2\/113) assuming f is positive.\nAnswer: f**(-23\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 1672.3745 and 0.5.\nAnswer: 1672.8745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, -71, -197, -385, -641?\n\"Answer: -d**3 - 22*d**2 + 3*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/147*(-7)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 5*t + 2. Let l be f(5). Let h be (-4)\/8*(-1155)\/84*40\/220. Factor 245\/4 + h*d**l - 35\/2*d.\nAnswer: 5*(d - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3500 and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4)*r)**28\/((r*r*(r\/(r*r*r**0*r))\/r*r)\/r)**(5\/6) assuming r is positive.\nAnswer: r**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 539952.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286, -980, -2016, -3334, -4874, -6576?\nAnswer: -8380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5, 4*f - 161 = -3*l + 33. Suppose 3*v - l = -3*h, -3*h + 71 = -v + 25. Let u = -2 + h. Solve -k - 2*k - u = -2*y, 0 = 4*y - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2*x**3 - 404*x**2 + 104*x**2 + 300*x**2 + 22.\nAnswer: 2*x**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 a when four letters picked without replacement from {x: 5, w: 3, a: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 4*t + 3 - t - 4*t. Determine a(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(12\/(-10)))\/((-490)\/413658*-67)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1527 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 23 = 9. Calculate the remainder when 95 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42645815857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -239 + 242.87. What is x rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 3:11 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 5*v + 1. Let y be f(3). Suppose r = -y + 1. Let i(s) = -s**3 - 5*s**2 + 6*s + 7. What are the prime factors of i(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 1, 0.4, -0.3209482, 0.01, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209 and 33668?\nAnswer: 370348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1466086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.8 and 25085229420?\nAnswer: 25085229420.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -8*q + 12. Suppose q*x - 4*g - 65 = -8*g, g - 20 = -x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -211437?\nAnswer: -211433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = 4*n - 12, -8 = 2*n + 3*h. Find the third derivative of 2*v**3 - v**n - 4*v**3 - 3*v**2 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*k - 255*k = -5*g + 330, 4*k = 3*g + 222. Calculate the highest common divisor of k and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5490780382 to the nearest integer?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2992 + 72?\nAnswer: 2a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + t + 4*t)*(2*t + t - t) + 2 - 2 + 3*t**2 + (3*t**2 + t**2 - t**2)*(8 - 6 + 4) - 2*t**2 + 3*t**2 + t**2 to the form i*t + z*t**2 + b and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9179511 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 8*y + 6. Let u be h(8). Suppose 15*o - 7*o - 48 = 0. Let n(k) = -2*k**3 + k**3 + 6 + 3 - o*k + 7*k**2. Determine n(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.955 - -7. Let z = s + -0.045. What is the nearest to z in 0.1, 18, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 greater than 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87\/5 + -18. What is the second biggest value in t, 0.06, -1\/3, -2\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*i - 57*i - 56*i**2 + 118*i - 14 + 14.\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.13 + 13.5. Let i = -0.07 + v. Which is the biggest value? (a) 1 (b) 2\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h - 22. Let j be m(19). What is the tens digit of 7*32 + (-5)\/j*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1415 + 1414.8. Sort 3\/2, t, 1\/3, 0, 8 in descending order.\nAnswer: 8, 3\/2, 1\/3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*c = -212*c + 4128. Calculate the greatest common factor of 24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/8)\/((-54)\/48)*(-5)\/1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 - 59*h - 3*h**2 - 51*h + 114*h. Let n(b) = -b**3 + b**2 - 1. Let l(c) = 4*n(c) - r(c). Calculate l(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:08 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 5:16 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87785278.\nAnswer: 2, 7, 53, 193, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/21)*b**(-1\/15)*(b\/b**0)\/b**(3\/7) assuming b is positive.\nAnswer: b**(148\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, j: 1, u: 1, x: 2, d: 1, v: 3}. What is prob of picking 1 p and 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.113 in 13, -1\/10, -16, 5, -0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 33. Suppose -5*q = s, -q - q - m*s = 0. Solve -8 = 2*g + 2*o, 3*g + q*g + 13 = -4*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzcz. Give prob of sequence zzy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 6 = 0. List the prime factors of 2\/c + (2036\/6)\/2.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 5. Let w(r) = -r - 2. Let y be w(-10). Let i be l(y). Suppose 7 = 4*m - i. Calculate the remainder when 19 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 11*j**2 - 12*j - 17. Suppose -2*z - 16*t + 26 = -14*t, t = 3*z - 23. Let d(p) = -5*p + 33. Let o be d(z). Determine v(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-15)\/(-12)*672\/140).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1196 - 1199. Suppose r + 3*r = 0. Suppose -4*m - 3 - 13 = r. Do m and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 5:06 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*s - 9. Suppose m - s = -0*m. Suppose -2*a + 15 = -m. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 33*c**3 - 5*c + c**2 - 13*c**4 - 18*c**4 - 2*c**2 + 30*c**4 to h*c**3 + q*c**2 + g + o*c + x*c**4 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*l - 134*l + 27 = 0. Suppose 3*m - 6 = 0, 2*j - 4*m + 8*m = 16. Suppose -2*n + 4 = 0, 0*k - 2*k = j*n - 10. Solve l - k = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -520 (base 9) to base 11\nAnswer: -355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2318 - -1.3682. Which is smaller: c or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27342 + 39613. List the prime factors of g.\nAnswer: 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110874109 to the nearest integer?\nAnswer: 10530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 838.442 and -9.\nAnswer: -7545.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 148. Let s be d(12). What is the first derivative of -48*n**4 - 48*n**4 - 48*n**4 - 52*n**4 - 250 + 180*n**s wrt n?\nAnswer: -64*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16569974 by 8284987.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1647718 divided by -8.\nAnswer: -823859\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*d = 4, -3*d + 28 = -5*q. Which is the biggest value? (a) 1\/3 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 9:41 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8 - 105*l + 32 + 8 - 15 + 15. Let s(d) = 104*d - 45. Let a(y) = -5*k(y) - 6*s(y). Find the first derivative of a(z) wrt z.\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-6 + 7))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 727 + -50889\/70. Let d be -16*3\/(-12) - 9. Which is the nearest to j? (a) 6\/5 (b) d (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000049 rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8245)\/(-680) - 1\/8. Solve 0 = t*q - 18*q + 36 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2579728, -5, -4 in ascending order.\nAnswer: -2579728, -5, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -273, 63, 16 in descending order.\nAnswer: 63, 16, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -768 divided by -384\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2757 is divided by 79?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15402324 (base 6) in base 8?\nAnswer: 2050154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000058942296 rounded to six dps?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*p - 734651 = -743387 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 2*z**2 + z + 5. Suppose 9 = -5*a + d - 9, -a = -4*d + 15. Let q be t(a). Suppose 56 = q*n - 34*n. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**5\/20 - t**4\/3 + t**3\/3 - t**2\/2 - 6*t. Let i be q(3). Put i, 2, 0 in increasing order.\nAnswer: i, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81964 and 4309?\nAnswer: 11392996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/3 - (-4)\/6. Let t be 3\/(-2)*-2 + 2. Suppose -h = -t*h. What is the third smallest value in h, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/4)\/(-5)*2\/3. Which is the closest to f? (a) 0.1 (b) -12 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 0*i - 3*i + 14 + 18*i. List the prime factors of d(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, -15.4 in descending order.\nAnswer: 1, -0.5, -15.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1.2, 5, 61\/7?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 9\/43 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7238 and 35721?\nAnswer: -258548598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 5481.\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65\/301 - -3\/43. Let v = 18\/23 + 508\/115. Let z = 99\/20 - v. Which is the closest to z? (a) 0.4 (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1132443342 + 1?\nAnswer: 1132443343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5\/4 (b) 2\/23 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-564)\/(-24))\/((-1)\/2). Is (-8 + 21)\/((-1)\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1489374098?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354739 is divided by 206?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + sqrt(2736) + 0 + sqrt(2736) + 2 + sqrt(2736) - sqrt(2736) - sqrt(2736) - (sqrt(2736) - (2*sqrt(2736) + -1) - sqrt(2736))) + -2)**2.\nAnswer: -96*sqrt(19) + 43777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7527 divided by 39?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/4 - 5*p**4\/12 - 18*p. Find the third derivative of i(a) wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/14 + -2)\/(10\/24)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 56 - 22 - 3*k**2 + 10*k**4 + 14*k**4 as r*k + w + s*k**4 + t*k**2 + c*k**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5142502061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3 = -3*a, 2*a + 101 = 99 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**2 - 1. Let h be 16\/64 - (-46)\/8. Let j(g) = -8*g**2 + 1. Let a be -2 - 9*(2 - 3). Calculate a*o(b) + h*j(b).\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/((-6)\/2388)*(-27)\/6.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t - 19. Let z be u(6). Let h(y) = -y**3 + 5*y**2 - 2*y + 4. Let m be h(z). Does 4 divide 858\/55 + m\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 251 + 113 = 0. What is the highest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0 = 3*c - 12, -20 = -4*r - 5*c. Suppose r*i + 25 = 5*i. Solve -v = 10 - i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j + 6*j + 10*j - 6*j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (7 - 21 - -23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, f: 1, b: 1, v: 1, l: 1}. What is prob of picking 1 v and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 5. Suppose p - 3*i = -2*i - 5, 2*p + 3*i + 5 = 0. Sort 2\/7, u, p in increasing order.\nAnswer: p, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -326158 bigger than -328919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 36*k - 4. Let r be w(-18). Is 13 a factor of 6\/r*854\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26428.62l to millilitres.\nAnswer: 26428620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.3 - 21. Let l = j + 1.7. Is 0.1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(162) + 1 - (2*sqrt(6))\/sqrt(3))*5.\nAnswer: -140*sqrt(2) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 2*o - 2*o)*(298*o + 626*o - 108*o - 77*o + 1692*o) in the form a*o + q*o**2 + y and give q.\nAnswer: 2431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13238129 is divided by 56.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -2\/23, -0.13, -15?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15046 - 0.10046. Which is the nearest to 2\/7? (a) 1.6 (b) -0.4 (c) z (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*9 - -8. Let t(f) be the second derivative of 0 + 7*f - 1\/10*f**q + 1\/6*f**4 + 0*f**2 + 2\/3*f**3. Let t(k) = 0. Calculate k.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120056432 divided by 15007054\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcffjfjj. Give prob of picking 1 f, 1 c, and 1 j.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 14\/1283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/5 - (-6)\/15. Suppose 15 = 5*o + 5*s + 40, 0 = 2*o - 5*s + 17. Let w = o + 5. Sort w, x, 1.\nAnswer: w, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, -2*j - 4*i = -8*i + 4900. Let b = j - -14735\/6. Find the common denominator of b and -107\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - l**4 - 130*l - 4*l**2 + 63*l + 66*l + 1 + 6*l**2 in the form q*l**3 + h + z*l**2 + y*l**4 + i*l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31395140 at most 282556250\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.4, 5, 2, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -1\/7*o**5 + o**3 + 6\/7*o**4 + 0 + 0*o + 0*o**2 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 z when three letters picked without replacement from {f: 3, i: 5, z: 7, t: 2}?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*h - 28*h + 2. Suppose -4 = -4*c - h*g, 10 = -2*c - 4*g + 9*g. Are -3\/212 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 + 2. Let k(r) = -16*r**2 - 2*r + 22. Let c(f) = k(f) - 5*u(f). What is c(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 0.85, -134, 1.1?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8681 times 0.28\nAnswer: -2430.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005998 rounded to 6 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.1 - -19. Let q = -18.8 + -1. Let b = -20 - q. What is the nearest to g in b, -3\/4, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7515079 years in centuries?\nAnswer: 0.007515079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -30, -51, -74?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:00 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3212 - -3239. Suppose -h - 2*s - 24 = 0, 4*s = 4*h + s + 107. Let c = h + f. Is c at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + x + 65, 57 = 2*n + 474*x - 471*x. Calculate the smallest common multiple of 28 and n.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, e: 10}. Give prob of picking 2 g and 2 e.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 4 + 4 = 0. Let k(h) = 2*h + 103. Is k(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(1 - 3*s - 1)*(2 + 2 - 2).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + 1*sqrt(325) + sqrt(325))**2 + -1.\nAnswer: 40*sqrt(13) + 1303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3105, -3077, -3045, -3015, -2993, -2985, -2997, -3035?\n\"Answer: -r**3 + 8*r**2 + 11*r - 3123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*d + 41, h = 4*d + d - 29. Suppose d*q - 595 = 125. Suppose -5*n = -n - q. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/2 of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 41*d**2 + 389*d - 11. Determine v(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/13 + 18*k\/13 - 72\/13.\nAnswer: 2*(k - 3)*(k + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -643 - -4224?\nAnswer: 3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/(-54)*(-113 + -1). Suppose -8*a - 24 = -l. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*r = 39 - 101, 2*j + 2*r = 3*j - 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -36 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/9 + (-38)\/6. Let i be -3*y\/9 + 0. What is the second derivative of -l - 7*l**4 + 3*l**4 + i*l**4 wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48560492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -9.1.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (2 + -1)*13. Let c = -14 + 102. What is the greatest common factor of p and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4196*s - 944 - 470 = -4264*s + 422 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/2))**(-8\/11)\/((o\/o**2*o*o)\/(o*o*o*o**(-2\/9)\/o*o*o))*((o\/(o*o**(-3)))\/((o*o**(-3\/4))\/o))\/((o**(-4\/7)*o*o)\/o**(-6)) assuming o is positive.\nAnswer: o**(-5521\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 29*g + 4. Let f be h(11). Suppose 5*r + 81 = x - f, x - 251 = -3*r. Let s = -131 + x. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 302095\/(-818580) + (-5)\/(-28)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t + 4*j + 16 = 0, -16 = -5*t - 2*j. Let m be 14\/10 + (-4)\/10. Sort m, t, -3 in increasing order.\nAnswer: -3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ce6 (base 15) in base 11?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53002, 52989, 52980, 52981, 52998, 53037, 53104, 53205?\n\"Answer: g**3 - 4*g**2 - 8*g + 53013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 8 + 3*r - 9*r. Let b(k) = k - 1. Let o(p) = -40*b(p) - 5*y(p). Determine o(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11504 is divided by 10817?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20744, -20289, -19834, -19379, -18924, -18469?\n\"Answer: 455*p - 21199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-259)\/222*12\/224*-18\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 74838 = 74702 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 14*a + 7*a - 529 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 73440.66 milligrams?\nAnswer: 73.44066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 - 63. Let k = f - 3. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3582, -7094, -10604, -14112, -17618, -21122, -24624?\nAnswer: -28124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3827 = 51*c - 1018. What is the remainder when 473 is divided by c?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/5)\/((-34)\/(-2635)). Calculate the highest common divisor of s and 775.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -11. Let v be (-3 + (-9)\/(-2))*2. Find the second derivative of 14*a**5 - 5*a**4 + u*a**4 - 17*a**5 - v*a wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, p: 1, z: 13, c: 2}. Give prob of sequence ce.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**2\/2 + 16*z - 1. Let q be j(11). Suppose q*x + 5 = 55. What is the greatest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49\/820 (b) -973 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5783366, 5783398, 5783440, 5783498, 5783578?\n\"Answer: z**3 - z**2 + 28*z + 5783338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4939871 a multiple of 663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*n**3 - 45*n**3 - 62*n**3 - 51*n**3 + 183*n**3.\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16706 - 352*c**3 + 1209*c**3 + 7*c + 16708 to the form y*c + t + j*c**3 + k*c**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2. Let f(w) be the first derivative of -13 + 0*w - 2\/3*w**3 + 0*w**2. Determine f(b(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577223639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l + 19. What is the least common multiple of 1 and q(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 483870756?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*l + 2*l - 17, 5*p - 3*l = 93. What are the prime factors of -17*(5 + -1 - p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5242 + 5242 - 2*q + 12*q**2 + 39*q**4 wrt q.\nAnswer: 936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10050499054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 33 - (-35903)\/1338?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/25*1*5. Suppose -12 = -2*b + k. What is the derivative of 1 - 2*z**3 + b*z**2 - 10*z**2 wrt z?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5)*(6 - 11) + -2. Suppose 3*q + r*q = 6. What is the closest to 0.1 in q, 0, 4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 4)*(18\/(-4))\/(-3). Let m(l) = 3 - k + 2 + 2 + l. Calculate m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2620575 or 2620571?\nAnswer: 2620571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 6)*6\/(-4). Let x(l) = -193755*l**3 + 5*l + 7. Let o be x(v). Let g = 2031363 + o. What is g rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 3*m**2 - 6*m + 12. Let q(b) = 3*b**3 - 9*b**2 + 17*b - 34. Give 17*o(x) + 6*q(x).\nAnswer: x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 >= 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**6\/240 - a**5\/24 - 39*a**2\/2 - 7*a - 1. Let b(n) be the first derivative of q(n). Factor b(l).\nAnswer: l**2*(l - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 4*m + 561 - 558, 2*m = -4*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6 = 0, 23 = 6*h - 0*s + 2*s + 59 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1536235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 64 = -2*n. Suppose 2*v - 6*v + 4*o = 8, 0 = -4*v - 2*o + n. Let z(h) = 5*h**2 + 5*h + 2. Let y be z(-2). Solve 0 = v*w + w - y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 2)*1*3. Solve -10*x = -g - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d**4*q**3 + 8*d**4 + 115*d**3*q + 2*d**2*q**3 - 503*d*q**3 - d - q**3 wrt d?\nAnswer: -72*d*q**3 + 192*d + 690*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2 = -6.148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1026 - -1747. What are the prime factors of c?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10313402 - -232?\nAnswer: 10314034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 34, 2, 3, -132 in ascending order.\nAnswer: -132, -3, -1, 2, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 5\/12*x**4 + 0 + x + 0*x**3 + 0*x**2. Let q(p) be the second derivative of p**3\/6 + 171*p - 2. What is f(q(h))?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 904389 * 16.8.\nAnswer: 15193735.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 31\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 15*l**2 + 2*l. Calculate g(15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v\/v**(4\/9))\/v)\/v*v*v*v*((v**(-2\/9)*v)\/v)\/v)**45 assuming v is positive.\nAnswer: v**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75252, 303188, 683808, 1217106, 1903076, 2741712, 3733008?\nAnswer: 4876958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/71193 or 1?\nAnswer: -8\/71193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**4\/4 - 3*h**2\/2 - 19*h. Determine d so that f(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/252080 and 22\/18055?\nAnswer: 39576560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-4)\/((-16)\/(-2160012)). Round z to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((0 + sqrt(99))*3 - (3 + 1 + sqrt(99))))**2 + 2.\nAnswer: -72*sqrt(11) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 241 = -31*a + 28*a, 3*a + o = 211. What is the smallest common multiple of 16 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/12*14*(-10)\/(-7). Let c be -3*(-4)\/p*20\/(-36). Let b = 0.06 + -0.56. What is the closest to 1\/6 in 2\/3, b, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 10 + -6 - 21) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.12 + -0.12. Which is the nearest to 2\/3? (a) -10 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Suppose a = -w - 4*x - 3199996, -12799996 = 4*w + x + 3*x. What is w rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 178. Suppose 4*d + 2872 = 4*i, 5*d = -4*i + 2688 + p. What are the prime factors of i?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(52)\/sqrt(4))**2*6 + sqrt(1300) + 1 + 5.\nAnswer: 10*sqrt(13) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1379565 and -79\/40174605.\nAnswer: 1325761965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12412.9 - -13316. Let p = 42.1 - o. Let h = 859.778 + p. What is h rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 8*x - 12. Let q be j(-3). Put -6, -4, q, -1 in decreasing order.\nAnswer: q, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201619516 is divided by 7240.\nAnswer: 7236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341668237?\nAnswer: 341668237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 6*b. Let h(w) = w**3 + 22*w**2 - 22*w + 27. Let o(i) = 4*i + 25. Let s be o(-12). Let q be h(s). Solve q*p = -b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 4 (b) 1 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1584 to 2 dps.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.37 in -96, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -66916 and -1.44.\nAnswer: 96359.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 8*c**2 + 10*c + 21. What is l(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.008. Let o = -1.151 - -0.353. Let p = l - o. Round p to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (sqrt(1331) + (sqrt(1331) + sqrt(1331)*3 - sqrt(1331)) + 4)) + (sqrt(1331) - (1 + 0 + sqrt(1331) + sqrt(1331))) + sqrt(1331) + 3)**2.\nAnswer: 132*sqrt(11) + 11983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/15*-3*-1*174\/(-87).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:03 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -66.707. Round a to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -44912 (b) 0.2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**3 - 2*s**2 - 2*s + 1. What is o(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 12:47 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 44. Let p be (-50)\/(-4) - 2\/4. Let i = p - -16. Calculate the highest common divisor of i and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 7*t**2 + 3*t - 9. Suppose 5*l - 3*q - 35 = -6*q, 5*q = 5*l - 35. Determine y(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -333, -604, -879, -1158?\nAnswer: -1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**3 - 7*o**2 + 7*o + 7. Let b(d) = 3*d**3 + 5*d**2 - 5*d - 5. Suppose 483 = -53*q + 112. What is q*b(l) - 5*c(l)?\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/9 - (-1)\/(-27)*-21. Let i(p) = -8*p + n + 0 - 2 + 9*p. Suppose 15 = -4*c - 9. Calculate i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*u, 2*p = 4*u - 3 + 5. Find the first derivative of -4 + u + 20*x**2 - 24*x**2 wrt x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i - 34. Let b be u(-10). Suppose b*p - 126 = -0*p. Suppose -1004 = -17*t + p*t. Round t to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - y - 6*y. Let d(r) be the second derivative of -r**3\/3 + 233*r - 2. Calculate f(d(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 74 - 27 = -5*t, 4 = 2*a. Suppose 0 = t*q + 41 - 136. Solve -q*u - 3 = -8*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -g - 5*k - 57, 4*g = -4*k - 8. Which is the second biggest value? (a) -3 (b) g (c) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/8, -3\/13, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2645090730 to the power of 1\/3, to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11568*q. Let g(j) = -j**2. Calculate g(p(m)).\nAnswer: -133818624*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 10. Let g be c(0). Let h be 1\/(g\/6)*65. Let s = h - 18. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 3*l - 4. Let a be (-1)\/(18\/45 - 6\/40). Give w(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 5:20 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179 - 254. Let q = d + 43. Let z = 31.6 + q. Which is the biggest value? (a) z (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 258*t - 50025. Give m(195).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 282528985 divided by -1202251\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7)*854\/122?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464523120867*h + 464523120867*h + 19*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104\/119 - -10\/17. Sort -0.6, l, 4 in ascending order.\nAnswer: -0.6, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 30. Suppose a*h - 155 = 5*h. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1091a + 1458?\nAnswer: 12277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27499 and 6841824.\nAnswer: 6869323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1822233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t - 10*t. Let m(n) = 57*n - 29*n + t*n. Let f(z) = 3*z**2. Calculate f(m(d)).\nAnswer: 2352*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + y - 5. Let d be p(-8). Let t = 20 + d. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 63. Let v be (2 - -1)\/(7 + m\/(-4)). Let p be ((-12)\/936)\/(v\/8). Are p and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/6 and 27\/82.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.803156 millilitres?\nAnswer: 0.000803156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhmhmimmmmmgmgmmghmm. What is prob of picking 3 h?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.251 - 0.1.\nAnswer: -2.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017852 to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 21*a - 16. What is the lowest common multiple of w(-19) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t = -5*i + 21, -3*i + 23 = -4*t. Suppose -3*z = 0, 2*z + 8 = s + i*z. Solve -f + s = f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3738 - 29845\/8. Suppose -2*i + 1374 = o, -2*o + i + 4122 = o. Let r = o - 8269\/6. Calculate the common denominator of r and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 1. Let i(o) = 86*o**2 + 7*o - 4. Determine -i(l) - 5*w(l).\nAnswer: -86*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + 14. Let q(v) = -5*v + 14. Let z(f) = -3*q(f) + 4*s(f). Let x be z(10). Put x, -2, -6 in increasing order.\nAnswer: -6, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*k**2*x - 4*k*x + k - 7*x - 2 with respect to k.\nAnswer: -16*k*x - 4*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -172*r + 176*r - 56. Let y(o) be the first derivative of 7\/2*o**4 + 0*o**2 + 5*o**3 + r + 0*o. What is the third derivative of y(f) wrt f?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2531*h + 1916. Is d(55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1\/2. Let k be ((-4)\/8)\/(18\/(-4)). Let h = 0.04 - -0.06. Which is the second smallest value? (a) h (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 7. Let s = x + -12. Let k = 0.1 + s. Which is the biggest value? (a) 4 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 3. Suppose 30 = 3*j + 2*j. Does 3 divide o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-17 - -25) + (8 - (0 - -2))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*-10*(-3)\/(-18). Is (-3)\/3 + 2 + q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28966842 divided by 3\nAnswer: -9655614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + sqrt(475) + -2 + -4 - sqrt(475)) + 0 + sqrt(475) + 3)**2 - (sqrt(475) + sqrt(475) + sqrt(475) + -4 + 0 + 3).\nAnswer: -75*sqrt(19) + 1910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147)*1*-6)**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 14*w**2 + 16*w + 17. Let r be o(-15). Suppose r*t = 10*t - 24. What is the remainder when 31 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 92. Suppose 0 = m - 5*v + 13, -3*v = -4*m + 2*v + x. What is the greatest common divisor of 48 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 39. Let q = c - -40. What is the tens digit of -4 + (-9)\/q + 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*m**2 + 22*m**2 + 17*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 9*l**2 - 5*l - 51. Let c be r(10). Suppose 4*u + 36 = -4*w, 2 + 1 = -3*w + 5*u. Let q be (3\/(-9))\/((-34)\/w). Is c at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909 a factor of 286499137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1067, -1037, -997, -935, -839, -697, -497?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/15)\/((-8)\/(-12))*216\/(-864)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1161 and 9963?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13248 = 48*v + 22*v + 22*v. Suppose d + 5*o = 18 + 1, 3*d + 2*o - 31 = 0. Calculate the highest common factor of d and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1721 or -1679?\nAnswer: -1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6440641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6454861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -73, -299, -677, -1207, -1889, -2723?\n\"Answer: -76*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + -671621909547?\nAnswer: -671621909610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/12 + 3*a**3\/2 - 8*a**2 - 7*a. Let s be h(3). Solve q + 4*b = 9, -5*q = -s*q - b + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**5\/30 - 4*v**3\/3 - 7*v**2. What is the derivative of x(r) wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(2\/10)\/(4*3*1474\/29480)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -524 divided by -4\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129319007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 386*t - 382*t + 92, q = -2*t - 49 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (12 - (-9 + 2 + 8) - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1232 and 66298512?\nAnswer: 729283632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d - 17. Let a be z(12). Let b be a\/66 - (-2)\/12. What is the hundreds digit of (-28)\/3*-18*b\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 299899\/21 - 14285. Calculate the common denominator of y and -121\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 18*k**3 - 7*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 260839294.\nAnswer: 1\/130419647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**7\/6 + h**6\/40 + 619*h**4\/24 - h**2 - 131. What is the second derivative of d(t) wrt t?\nAnswer: 420*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 944 + 1139 = 45*x - 752. What is the greatest common factor of 7749 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -1514, 0 in descending order.\nAnswer: 2, 0, -0.5, -1514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-16)\/(-32)*(-17)\/((-34)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -7 - (-78 + 7)) + -9?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.7 - 52.6. Which is the fourth smallest value? (a) -2\/19 (b) q (c) 2 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(132)\/sqrt(11) - 3*((sqrt(3)*2 + sqrt(3))*-5)**2.\nAnswer: -2025 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -58 + 52 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 + (-164)\/(-28))\/((-4)\/(-190778)) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58029, 58129, 58303, 58551?\nAnswer: 58873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1055750 + 2058478 = 359*k - 2272208. Is k a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213787076?\nAnswer: 2, 53446769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 100, 70, 18, -62, -176, -330?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(1088))**2 + 0 + (sqrt(1088) - (sqrt(1088) + 0)).\nAnswer: 4350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3486247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -5.640557.\nAnswer: -5.340557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 96*m**3 + 3*m**2 + 10*m + 7. Determine w(-1).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120.2238 decades to months.\nAnswer: 14426.856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 6*a + 1\/12*a**4 - 1\/2*a**2 - 2\/3*a**3 + 0. Let w be b(-9). What is the highest common factor of 29 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iibmxxbibixbbbiibiim. What is prob of picking 2 b and 1 x?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 2*t. Let s(u) = -11*u**2 + 17*u + 6. Let d(q) = 6*h(q) - s(q). Give d(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -12*n**2 - 43*n - n**3 + 68*n - 19 + 3*n**2 - 17*n**2. Let q be d(-27). What is the highest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 210.5 + -211. Sort -3, v, 0.5 in descending order.\nAnswer: 0.5, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -153\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 42*s**3 - 4*s**2 + 42*s + 18. Let r be k(8). Suppose -25*z + r = -7373. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5) + 6 + -4 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 1986 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31.76761 centuries?\nAnswer: 3176.761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23366 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-530)\/159*(-4752)\/(-4620)\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8712 divided by 11.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02 from 1.905051.\nAnswer: 1.885051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/((-13)\/26*-12)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 973, 1732, 2503, 3286, 4081, 4888, 5707?\nAnswer: 6538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -64*f + 68*f. Let l be 16*(0 - (f + 186\/(-4))). Suppose -u = -6*u + l. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8846371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v. Solve -2 = 2*u - v*u - 3*m, -6 = -u + 5*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 616963 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**2)\/(d\/d**(3\/10)*d))\/(d**(-3)\/(d*d**(-1\/9)\/d*d)))**(-26\/7) assuming d is positive.\nAnswer: d**(-1391\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 118 + -65. Calculate the remainder when g is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/7 - 83*h**2\/7 + 1840*h\/7 - 4800\/7.\nAnswer: (h - 40)**2*(h - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 7) to base 11.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 648 and 57816?\nAnswer: 520344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025738 to 5 dps.\nAnswer: 0.00257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -30, -61, -126, -237, -406?\n\"Answer: -2*p**3 + p**2 + 2*p - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 21.2. Let y = -78 - -55. Let t = 17 + y. What is the third biggest value in -5, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3147 + 1101 = 6*g. Let t = g - 684. Suppose -5*c = 3*a - 309, -2*a + 29 + 37 = c. Calculate the greatest common factor of c and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(76) + ((-1 + sqrt(76))*-2)**2 - (4 + (0 + sqrt(76))*1).\nAnswer: -16*sqrt(19) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyucuuryuucry. Give prob of sequence uuc.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 2*n**2 - 11*n**2)*(-n + 5*n + n) - 4 + 4 + n**3 + 2 - n**3 + 2*n**2 - 2.\nAnswer: -50*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 16*v**2 - 15*v - 17. Determine y(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73137 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 246*a**2 + 992*a - 776. What is x(250)?\nAnswer: -2776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 + -142. Let l be (1 - 2)*(7\/(-1) - v). Let k(x) = l*x + 7*x - 2*x + 3*x. Give k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b + 1. Let r(m) = 621*m + 135. Determine -540*o(n) + 4*r(n).\nAnswer: 324*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = k + 1, -5*a + 35 = 4*k. Suppose -5*h - 21 = 4*v - 215, k*v - 5 = 0. Suppose -17 = -5*g + h. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9732.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/((-1)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, y: 1, a: 1, f: 1, b: 1}. Give prob of sequence kyk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736*-0.53.\nAnswer: 390.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*o + 5*g, -5*g = -o + 4*o - 24. Let m be 18\/((-3)\/3 + o). Calculate the highest common factor of 36 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000101987 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:01 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438*674417.\nAnswer: -295394646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3360 and 67560.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*i + 3, 5*z - 3*i = 299991. What is z rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 + 1811 = 3*w - 140. What is w rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 56225.9 and 0.14?\nAnswer: 7871.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2387269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 41064 * -5\nAnswer: -205320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 26*j**2 - 28*j. Let w be u(14). Suppose -3*r - 5*r - 16 = w. Let x(v) = 25*v**2 + 5*v + 2. List the prime factors of x(r).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 21 = 35 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -1198592.\nAnswer: -17\/1198592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(45)*-6)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - 11) + (0 - -2). Solve 0 = -2*f - 2*r - j*r, -3*f - 5 = 4*r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -65*z - 4. Let v(q) = -8906*q - 549. What is 549*s(h) - 4*v(h)?\nAnswer: -61*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.045 - 0.065. Sort 2\/13, x, 3.\nAnswer: x, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*a**3 - 74*a**3 - 23*a**3)*(-29*a**2 + 2*a**2 - 2 - 4*a**2).\nAnswer: 2139*a**5 + 138*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Suppose 1 = -h - t. Let f be (-1)\/3*(h - 2). Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5)\/(140\/(-175))*(-4 + -16).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 - 37*v**2 - 812*v + 6140. Calculate o(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 5*u + 3718980 = 13*u. Round u to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6261550666 to the power of 1\/2, to the nearest integer?\nAnswer: 79130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.251 and 3127.\nAnswer: 784.877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (8 - 2) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0, 2, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -2, 0.2, -1, 0.8478, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -24 - (16 - 8 - (-5 + 4))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.104 - -132.104. Let u = f - 370. Let t = 248.1 + u. What is t rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a. Let b(w) = w**2 + 1. Let k(c) = -8*c**2 - 7. Let n(l) = 14*b(l) + 2*k(l). Calculate n(j(x)).\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b + 1463 = 324 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*x**2 - 875 + 875 + 2*x + (2*x**2 + 3*x**2 - 7*x**2)*(5 - 4 - 3) - 5*x**2 - x**2 + 4*x**2.\nAnswer: -12*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11521*h**3*j**2*q - 75*h**3*j*q + 7*h**3*j + 15225*h**2 - 19*h*j**2 + j**2 - 2*q wrt h.\nAnswer: -69126*j**2*q - 450*j*q + 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92760.\nAnswer: 2, 3, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*n - n. Let l = 7 + n. What is the smallest common multiple of (-20)\/(-6)*(-36)\/(-10) and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78) + 5*-1*sqrt(78) + sqrt(78))\/(sqrt(12)\/(sqrt(8)\/sqrt(4))) - -6*((sqrt(1300)*1)**2 + sqrt(1300) + 3).\nAnswer: 58*sqrt(13) + 7818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 2901, 9791, 23201, 45303, 78269, 124271, 185481?\nAnswer: 264071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 2312*n - 334084.\nAnswer: -4*(n - 289)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 15*u + 54. Let m(s) = -53*s - 18. Does 46 divide m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23442 + -1?\nAnswer: 23441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1836244 and 24.\nAnswer: 11017464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -79*t**2 + 8*t - 38. Let l be x(4). Let a = l + 2170. What is the greatest common factor of a and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1009 - -3?\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 2. Let c(n) = 7*n + 104. Let q be c(-16). Let f(i) = -2*i - 19. Let o be f(q). Calculate j(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**2\/t*t*t\/(t*t\/(t\/t**(2\/7))*t)*t\/((t\/t**(-3\/8))\/t)*t**(-3\/11) assuming t is positive.\nAnswer: t**(1273\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20437467 (base 9) to base 3\nAnswer: 200111021112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w**(1\/4)*w)\/w)*w**(-6))**(-17)\/((w**(-3)\/(w\/(w\/w**(-2\/5)*w)))\/(w**0)**(-2\/57)) assuming w is positive.\nAnswer: w**(1477\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 32 = 24. Suppose g*l - i - 53 = 0, 0*i = 4*i + 4. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193*s**3 - 3612759 + 3612759 + 139*s**2 wrt s.\nAnswer: 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 42. Calculate the greatest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 less than or equal to 3155\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 d, 1 e, and 1 h when four letters picked without replacement from {y: 1, d: 2, h: 1, e: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*m = -276, 2*r - 277 = -m + 4*m. Suppose -p - 2*p = -4*t + 117, 4*t + p - r = 0. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 10*d**3 - 24*d**2 - 40*d - 63. Let y(s) = -s**3 + s**2 - s. Suppose -12*j + 616 = 16*j. Let i(k) = j*y(k) + 2*p(k). Suppose i(t) = 0. What is t?\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 27225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + (-1532)\/(-56))\/(6\/7).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = z - 8, 2*g - 8 = -3*z. Suppose 0 = -g*f - 0 + 84. Let j(q) = f*q + 21*q - 31*q. Let k(m) = 2*m**2. Calculate k(j(h)).\nAnswer: 242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6+-311.2442856\nAnswer: -317.2442856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -c**3\/3 - 3*c**2\/2 + 4*c + 1. Suppose a - 2*a - 3 = 0. Let r be i(a). Solve -3*g - 9 = r*x, g + 5*x + 19 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 219 + 58?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 254 + 142. What is the smallest common multiple of 561\/(-51) + (33 - (-4 - -2)) and n?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1325*d**3*m**3 - 9*d**3*m**2*q + 6*d**3*q + 2*d**2*m + 3*m**3 + q + 1417 wrt d.\nAnswer: 7950*m**3 - 54*m**2*q + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.277 - 0.223. What is the third smallest value in 1.3, a, -1\/9?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*s - 2112 + 2357 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(17\/3))**(-6\/29) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 105b4 + 69b?\nAnswer: 10c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9382 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12) + -9)*9\/(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2099\/1398 + 1\/699. What is the closest to -1\/4 in 0.3, -2, a, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -578195561*p**2 + 640*p + 83844.\nAnswer: -1156391122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 62. Suppose h = 2*h - o. Let w = -4 + 7. Solve 3*l - w*s + 5*s + 8 = 0, -2*l - h = s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -3) + (0 - 1). Suppose -2*b + 8 = 4*v, 48 = 5*b + y*v - v. Let o = b + 27. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let n(u) = -43361597*u**2. Determine n(t(w)).\nAnswer: -173446388*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 19*f**2 - 11*f + 10. Give w(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 5 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.94 + -62.74. Let s = m - -84. What is s rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i - 8*i + 5*i + 4*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 3*z - 3. Let s be v(4). Suppose -l - s = -3. Suppose 2*c + 4 + 4 = 2*w, -16 = -2*w - l*c. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -66. Let j = o + -90.9999852. Round j to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 18. Calculate the remainder when (728\/70)\/((-234)\/65 + 4\/1) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 1019502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 20*a + 25.\nAnswer: -5*(a - 5)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*b**3 + 5*b**3 + b**3)*(4*b - b - 2*b) + b**4 + b**4 - b**4 + 27*b**4 - 4*b**4 + 17*b**4)*(b + 2*b - b).\nAnswer: 84*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4366 - 4335. Put -3, -5, 3, -1, m in descending order.\nAnswer: m, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1759, 2885, 3487, 3577, 3167, 2269?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -405442?\nAnswer: 405440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-120))\/(6\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-d**4 - 5*d**2 + 5*d**2)*(-2 + 0 + 3).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-230))\/(((-330)\/(-45))\/(-22))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 divided by 1?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from cghgahdz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -534430 + 16?\nAnswer: -534413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16964 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 1 - -9) + (-13 + -29 - -14).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -32. Suppose 3*y - u = 12. Let f(v) = -3*v**2 + 15*v - 11. Let r be f(y). Which is the second biggest value? (a) 2 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.26511 and 0.031?\nAnswer: 0.29611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 3*c + 3*c**2 - 12)*(-22*c**3 - 19*c**3 - 2*c**3) - c**4 + c**4 - 4*c**5.\nAnswer: -133*c**5 - 129*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 6*c**2 + 2*c - 14. Is v(-7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**3 - 6*c**2 + 7*c + 10. Let g(m) = -2*m**3 - 2*m**2 + 2*m + 3. Suppose -11*p + 15*p - 32 = 0. Suppose -5*j + 9*j = -p. Give j*o(z) + 7*g(z).\nAnswer: -2*z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -251285*v + 3072936.\nAnswer: -251285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 2*r**6\/105 + 2*r**5\/35 - 13*r**4\/7 + 136*r**3\/21 - 64*r**2\/7 - 10*r + 1. Suppose l(j) = 0. Calculate j.\nAnswer: -8, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8546 + 0.0154. Is 0 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(561)*-1 - sqrt(561))\/sqrt(11))\/(sqrt(6)\/sqrt(2)*4).\nAnswer: -3 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/8 + (91\/28 - -8). Suppose -9 = -q - u. Let x = -307 + 3989\/13. Which is the second biggest value? (a) -0.5 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*d + 439*c**2*m**2 + 2*c*d*m**2 - 2*c*m**2 - 3*d*m wrt c?\nAnswer: 4*d + 878*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 93196387 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -19, -36, -57?\n\"Answer: -2*i**2 - 7*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59\/18 - 2\/9. Suppose -4 = -4*n, -f + 4*n - 2*n - 6 = 0. Which is smaller: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let w(z) = z**2 + 6*z - 1. Let b = 120 - 126. Let n(g) = b*d(g) + w(g). Suppose n(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from xyaxyacaxaygayx?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/4 - 11*f**3\/3 - 15*f**2\/2 - 13*f - 354. Calculate z(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 299 - 298. Let k(y) be the first derivative of y**3\/3 - y**2\/2 - y + 252. Let x(c) = 9*c**3 + c**2 - c - 1. What is h*k(o) - x(o)?\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21775699 and 1465?\nAnswer: 21777164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 + 493. What is the greatest common divisor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 2*u + 1. Suppose 9 = -6*n + 3*n. Let r be o(n). Sort 1, 4, r.\nAnswer: r, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n - 10 = 0. Factor -3*y**4 + 3*y**3 - 3*y**n - y**2 - 2*y**2 + y**4 + 5*y**4.\nAnswer: -3*y**2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3452.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -61, -64, -71, -82, -97?\n\"Answer: -2*x**2 + 3*x - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49300, 197211, 443730, 788857, 1232592, 1774935, 2415886?\nAnswer: 3155445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.195 + -133.165. Round x to 1 dp.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 - -16067148056.\nAnswer: 16067148138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/121180 and -47\/438?\nAnswer: 363540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 111 + 108 - 1106*n - 219 in the form o + m*n and give m.\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-18)\/((p\/p**(-3))\/p) assuming p is positive.\nAnswer: p**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01638408 to four decimal places.\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -116*r**2 + 27. Let a(v) = v + 603. Give a(z(h)).\nAnswer: -116*h**2 + 630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 8*f - 22. Suppose 135 = -24*b + 9*b. What is the hundreds digit of y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m + 4. Let k be 33\/22*(-16)\/6. Let z(b) = -32*b - 13. Let c(x) = k*z(x) - 11*v(x). What are the prime factors of c(9)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 8*t**2 - 5*t - 10. Let j be c(7). Let x(w) = -5*w + 0*w + j - 4. Let n(l) = 3*l**2. Determine x(n(y)).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(-9)*i*i**(7\/3)*(i**(-11)\/i)\/i**(-1) assuming i is positive.\nAnswer: i**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1193*m - 1714*m + 3848*m)*((-2*m**3 + 0 + 0)*(5 - 3 - 4) + (-3*m**3 + 4*m**3 + 0*m**3)*(4 + 0 - 5)).\nAnswer: 2823*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -303*f**2*w**3 + 132584*f*s**2*w**3 + 2*s**2 + 6036*s + 55*w**3 - 29 with respect to f.\nAnswer: -606*f*w**3 + 132584*s**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*t = 133, 26*t = -3*f + 25*t + 90. Let s(o) = 69*o + o**2 - f*o + 12 - 52*o. What is s(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 735 = -455. List the prime factors of f.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*h**2 - 6*h**3 + 23*h**2 - h)*(2*h + h - 2*h).\nAnswer: -6*h**4 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:35 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005262 rounded to four decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 22*p**2 - 14*p + 76. Let t(a) = -3*a**2 + 3*a + 1. Determine -n(v) - 4*t(v).\nAnswer: -10*v**2 + 2*v - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -4*1*sqrt(91) - sqrt(91) - sqrt(91) - sqrt(91))\/sqrt(7) + -4 + (sqrt(13) - sqrt(39)\/sqrt(3)) + 4)*-6.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 + 0 = -7*d. Suppose -r + 4*f - 19 = 3, -2*f + 14 = -2*r. Let v be 16\/2*(3 - r). Calculate the highest common divisor of v and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4169*y + 1389*y + 1397*y + 1388*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28885956 + 57771902 + 7*z + 4*z - 28885946.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158*j*q**2 + 124699*j - 1270*q**2 - 3420 with respect to j.\nAnswer: 158*q**2 + 124699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124 - (32 + 339)) + 109.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muutwusvvvwuuswuswtw. What is prob of picking 1 t and 1 s?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 835154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -24885099 = -24885100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 7*j + 62500000. Round j to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 53*i**2 - 3*i + 2. Suppose 2*w = l - 17 + 21, -2*w + 6 = -2*l. Determine t(w).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylll when four letters picked without replacement from ylllllllllyl.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v**2 + 3*v + 1. Let w be z(-2). Let a(l) = -2*l**2 + 7*l - 4. Let h be a(5). Let o = h + w. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 48 = -5*r. Suppose 16 = r*w - u, -w - w + 2*u + 8 = 0. Solve 0*s**2 + 0*s + 0 - 1\/4*s**3 - 1\/4*s**5 + 1\/2*s**w = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 + 836\/(-165) + 5. Which is the nearest to -0.1? (a) 5\/3 (b) m (c) 3\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 9 = -11*w. Let r(g) = 4*g**2 + 14*g + 6. What is the remainder when r(-6) is divided by w*(-81)\/18*5\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 - -220. What is the second derivative of -2*i - 31*i**4 + u*i - 38*i**4 wrt i?\nAnswer: -828*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/18 + 26\/(-60)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -681*r**5\/10 - r**4\/6 - 2*r**3\/3 - 3*r**2\/2 - 10*r. Let g = 71 + -72. Is a(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let x(u) be the second derivative of -5*u**4\/24 - 5*u**2\/2 + 5*u. Let m(p) be the first derivative of x(p). Give m(f(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22273, 22291, 22323, 22375, 22453, 22563?\nAnswer: 22711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1200 - -2471\/2. What is the common denominator of u and ((-620568)\/37920 - -16) + 1\/5*2?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 65338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, a: 2, y: 13}. Give prob of sequence aiyi.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + j + 1, 27 - 10 = 2*h + 3*j. Solve 0 = h*f + 2*x - 20, 6*f - 2*f + 4*x = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*g + 9566*o - 9563*o + 12, g = -o + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*q + q, 5*q - m = 0. Suppose q = -c + 7 + 9. Calculate the highest common factor of c and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 567 - 328. Suppose -234*c = -x*c + 85. Solve -c + 1 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -180*t**3*z**3 - t**3*z**2 - 3*t**3*z - 7*t*z**4 - 60*t*z**3 + 65940*t*z**2 wrt z?\nAnswer: -1080*t**3 - 168*t*z - 360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 4*t**2 + 3*t. Let q be j(-3). Let l be (12\/9 + q)*6. Let g(m) = -m**3 + 8*m**2 + 5. What are the prime factors of g(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 2:29 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 5:02 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 12:58 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i*v**2 + 2*i*v - 9130*i - 98274*v**2 + 2*v + 457 wrt v.\nAnswer: -8*i*v + 2*i - 196548*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1930*a + 43 = 1941*a - 67 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-370)\/78 - 155\/(-2015).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 23 = 37 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80.1 - 80. Which is the nearest to i? (a) 6 (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -694\/5 - -139. Is -0.2 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-852 + 2)*(-385)\/154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225 + 175. Let i be 3\/((-1)\/(-1)) + -54. Is i equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -94639, -94630, -94615, -94594, -94567?\n\"Answer: 3*u**2 - 94642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2157275292333 and -82.2.\nAnswer: -2157275292415.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beybpedebpde. What is prob of sequence eb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399972770?\nAnswer: 2, 5, 17, 2352781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 - 38*b - 2. Calculate c(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 32*s**2 - 64*s + 90. Suppose 11*o = 15*o + 2*r + 134, 3*o + 103 = r. Let g be b(o). Is g >= -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (-9 - -14) - (2 + 14)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 n, 1 u, and 1 t when four letters picked without replacement from {t: 1, n: 2, f: 1, u: 2, v: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-630)\/175*((-2940)\/36)\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-156)\/(-24))\/(0 - 3\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33619103, 33619087, 33619061, 33619025, 33618979, 33618923, 33618857?\nAnswer: 33618781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y - 254. Calculate x(19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = u - 17, 298*u + 85 = 303*u + 2*z. What is the remainder when u is divided by (1 - (-2 + 4))*-7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = 4*g - 9*g. Suppose 6*p + u - g = p, 2*p - u = 47. Let q = p + -14. What is the highest common factor of q and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22818\/7 or 3261?\nAnswer: 3261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, -15\/8, -3\/2, -5 in ascending order.\nAnswer: -5, -15\/8, -3\/2, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-28)*1*-7. Let y(b) = -9*b + 60. Let l(c) = -4*c + 24. Let s(u) = 5*l(u) - 2*y(u). Determine s(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c + c - 3*c - 6*c as u + a*c and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -26061*r + 729682. Give i(28).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-5)*-8*(-250)\/200\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*2*(4*(sqrt(1800) + 0)**2 + ((sqrt(1800) - sqrt(1800)*2)*5 - sqrt(1800))).\nAnswer: -1440*sqrt(2) + 57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 123346301 a multiple of 1245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(425) + -4 - sqrt(425)) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 divided by 3?\nAnswer: 484\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - ((2*sqrt(171))**2 + 4 - sqrt(171)))) + (sqrt(228) + sqrt(228) + (2*sqrt(228) + sqrt(228))*4)\/sqrt(12).\nAnswer: 11*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*q - s, 2*q + 2449*s = 2452*s + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71461625033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2235074.2 and 5.\nAnswer: 11175371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 202222202230?\nAnswer: 202222202223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*j = -57*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 29. Let v = -1 + s. Let u = v + -4. Solve u*l - 5*l - 8 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216618600 divided by -188364.\nAnswer: -1150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -496 greater than -558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 6:12 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -280445, -280441, -280435, -280427, -280417?\n\"Answer: s**2 + s - 280447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**6\/120 + f**5\/4 + 17*f**4\/24 + f**3\/3 - 4*f**2. Let b be x(16). Let l be b\/16 + 2\/(-16). Solve 11 = 3*y - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -551490 divided by 186.\nAnswer: -2965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10402438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from {j: 1, i: 3, b: 3, u: 2, e: 1, l: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neeeeene. Give prob of sequence enn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294 and 179156019?\nAnswer: 2508184266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 66, 54, 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 388.9811 weeks?\nAnswer: 235255769280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320186 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373 - -411.1. Let x = -15 + -29. Let h = q + x. Round h to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137385 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**6\/48 + 19*u**5\/40 - 31*u**4\/8 + 12*u**3 - 54*u + 242. Factor c(m).\nAnswer: -(m - 6)**3*(m - 2)*(m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*d - 4 = 0, -581*d = -580*d - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -287? (a) 0.2 (b) -5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11816 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22110 + 39937. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 11*g + 4. Let d(a) = a**2 + 10*a - 3. Let u be (-15)\/12*13\/(390\/(-72)). What is u*x(i) + 4*d(i)?\nAnswer: i**2 + 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0557753098 to 5 decimal places.\nAnswer: 0.05578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12*(-6)\/9)\/(-2). Suppose -w*a + 3*a = -505. Suppose a = 5*v - 100. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2995?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.3. Let r = 0.2 - q. Which is the closest to r? (a) 0.3 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1561*y + 14047. What is v(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*t + 1076 - 4751. What is the highest common factor of 4704 and t?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68c0e3 (base 15) in base 8?\nAnswer: 23051353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 13. Let f(k) = 21*k**2 + 2*k - 4. Let p be f(a). Let q = 734 - p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1835*g**4 + 5*g**3 + 11*g**2 + 45*g - 5. Let u(m) = m**4 - m**3 - 2*m**2 + 1. Let l(f) = -h(f) - 5*u(f). Find the third derivative of l(q) wrt q.\nAnswer: -44160*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-3 + (-5 - -2)). Suppose -6*q - c*x + 61 = -q, 3*x = -9. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 7 - 1\/(1 + 0). Let s be ((-16)\/h)\/(8\/10). Solve 2*p = -s*z + 3*p + 7, -2*z = 2*p + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 6*h = 0. Factor 0*d + 2\/7*d**3 + 0 + h*d**2 - 2\/7*d**4.\nAnswer: -2*d**3*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/3*21\/14. Solve 22 - a = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.43 - 0.66.\nAnswer: -50.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*d**4 + 487*d**3 - 534*d**2 + 500*d - 4306 wrt d?\nAnswer: -144*d**2 + 2922*d - 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.765 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - -41b8835?\nAnswer: 41b8820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, n: 2, i: 1, c: 5, p: 2}. Give prob of sequence ni.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 12 + 12)*(54*r + r**2 - 54*r) - r**3 - 4*r**3 + 6*r**3 - 4*r**3 + 0*r**3 + 3*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -35*k + 48. Give p(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-6)*h)))**(-3\/5)*(h*h**(4\/9))**(16\/11) assuming h is positive.\nAnswer: h**(505\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-6 + 6 + -1 + 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**7\/630 + u**5\/20 + u**4\/12 - u**2. Let d(h) be the second derivative of v(h). What is the derivative of d(c) wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*b - 447*b = -5*v - 25, -25 = -4*b + 5*v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, l: 1, n: 1, t: 1, a: 2}. What is prob of picking 4 x?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -1737 + 1917. What is the remainder when 496 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -99 and 0.006.\nAnswer: -98.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 1 - 3*j + 2)*(-3 - 1 + 2)*(-55*j**3 - 78*j**3 + 21*j**3) to h + d*j**3 + b*j**4 + t*j + x*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -175668048 divided by -3056\nAnswer: 57483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2 (c) 63 (d) -3\/7 (e) 3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:33 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.787? (a) -3 (b) -3\/11 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32507*j**4 - 11*j**3 - 7749446*j**2 wrt j.\nAnswer: -780168*j - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3878?\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1442976745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 36725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 842774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 2*h**2 + 74*h**2 - 59*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 1. Let l be ((-8)\/2)\/(-2) + 0. Let w(d) = 2*d - 1. Let k(c) = l*n(c) - w(c). What is k(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 27 = 3. Suppose x + l = -p*x + 471, 785 = 5*x + 2*l. Suppose x = -5*k + 442. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(-1\/2)*u)*u**(-2\/3)\/u)**(-20) assuming u is positive.\nAnswer: u**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00788 rounded to four decimal places?\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1716.4*66.\nAnswer: -113282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277561\/22 + 12617. Find the common denominator of 15\/8618 and h.\nAnswer: 94798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -24.6\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*h + 5, 0 = 2*h - l + 2 - 1. List the prime factors of (0 - h)*10\/(-20) + 183.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vav when three letters picked without replacement from avwvwwwvfv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18 - 18039*c**6 + 17720*c**6 - 18 - 1497*c**2 wrt c?\nAnswer: -38280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010437 to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -48*c + 9. Let m(w) = -211*w + 38. Let t(k) = -26*j(k) + 6*m(k). Calculate t(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008972 to seven dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14 - 20 = 0. Suppose v + 5*c + 19 = 0, -d = -4*v + 2*v + c. Solve n = -n - v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/1)\/((-1)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2276693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1233 + -4?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 288656966*q - 102650611 wrt q?\nAnswer: 288656966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 52*x**3 + 746 - 369 - 41*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 1*2 - 9\/(63\/(-56)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*q + 83*q - 83*q + 1274 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/250642 and 47\/140?\nAnswer: 2506420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136.57 + -136. Let n = q + 0.03. Let h = -540 - -539.6. What is the closest to -0.1 in 2, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -23*m - 239. Let x be h(-11). Suppose 9*w**3 + x*w**3 - 22*w**3 = 0. Calculate w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2293 - -2290. Suppose 5 = 4*c + c. Sort i, c, 7 in decreasing order.\nAnswer: 7, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1)\/(-2*(-3)\/(-24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j + 70. Let s be q(-7). Let l be (-22)\/s + (-2)\/20*2. Suppose 3\/7*x**5 + 0 - l*x**4 - 3\/7*x**3 + 3\/7*x**2 + 0*x = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0148*9\nAnswer: -0.1332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28101 and 2.31.\nAnswer: 64913.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24296014 is divided by 131.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33364.26um in centimeters?\nAnswer: 3.336426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -245 - -250. Solve 4*h - 10 = -f - 4*f, h = -o*f - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/52557 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.87 + -32. Let h = -25.87 + n. Let r = h + 31. Which is greater: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 4*m + 2. Let j be y(5). Suppose 4*f = 4*o - j, f - 4 = -0*o - 3*o. Differentiate 10 - 3*c**o + 2*c**3 + 3*c**3 + 5*c**3 with respect to c.\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o + 12. Suppose -2*z + 30 = -2*p - 10, z - 40 = -o*p. Does 12 divide 5\/z - (-268)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 50 = 23*r. Suppose 5*k - 3*t - 13 = -0, -3*k + 4*t = -r. Solve -v - k = 0, v = -2*f + 6*v + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Suppose s = 3*w - 2*l - 12, -4*w = 4*l + 2 + 2. Suppose w*j + 23 = 3*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9977232905834 - -0.2?\nAnswer: 9977232905834.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) -98\/3 (d) 2\/15 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273213 is divided by 91069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + -0.0695. Round q to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i. Suppose -3*s + 3*u = -24, -3*s - s - 4*u = 8. Let o(h) be the first derivative of 0*h**2 - s*h**2 + 0 + 5*h**2 + 1. Determine o(z(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 295 + -164. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1071 and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2596670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 55 + 39 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-37)\/(-7) + (-6)\/21. Suppose 4*f - 3*f = t, -1765249 = -u + f. Suppose -4*h + u - 19765254 = 0. What is h rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 2, i: 4}. Give prob of sequence di.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2622\/8635 + 16\/55. Is 1 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 87, 101?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 94.57857 litres?\nAnswer: 94578.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -3\/7, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 32755520 divided by 160\nAnswer: 204722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 19906*r + 179235.\nAnswer: -(r - 9)*(r + 19915)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**4 + x**3 + 9*x**2 - 6169*x + 389371 with respect to x.\nAnswer: -4*x**3 + 3*x**2 + 18*x - 6169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63529, 127053, 190577, 254101, 317625?\nAnswer: 381149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44.31 + 44. Let m = g - 0.69. Sort -0.06, 0, m in increasing order.\nAnswer: m, -0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -585, -1072, -1695, -2448, -3325, -4320?\nAnswer: -5427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*r + 178*r = -3*f + 3406, 4*f = -2*r + 3400. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -42988.7?\nAnswer: -42988.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -22?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212 - 32300?\nAnswer: -32022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30299 + 30299.0018399. What is u rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8*o = -36. Suppose -o - 5 = -w. Suppose -w + 0 = -u. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**2 + q - 1. Let n be l(1). Solve 4*h = -0*a + a - n, 5*a = -10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -3, 2, -70, -1085 in increasing order.\nAnswer: -1085, -70, -3, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2 + 1. Let v(z) = -25*z**2 - 6*z + 4. Let g(i) = 17*i**2 + 4*i - 3. Let n(j) = -7*g(j) - 5*v(j). Give n(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -443? (a) 0.5 (b) -1 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.38 + 0.04. Let w = -7.04 + 7. Let s = b - w. Sort s, -0.2, -3 in ascending order.\nAnswer: -3, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -139*u**7\/210 + u**4\/24 - 60*u**3 + 401*u**2. Find the first derivative of k(y) wrt y.\nAnswer: -556*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -181 (b) 2\/85 (c) -0.07 (d) -5 (e) 0.2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 190014, 190008, 190002?\n\"Answer: -6*v + 190020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.677 - 0.371. Let f = v + -0.606. Which is the third smallest value? (a) 4 (b) f (c) -0.069\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Let s be 1\/a*(2 - 2). Suppose s = -0*n - 3*n + 297. What is the highest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 - -4.1. Let o = 9.5 + -12. Let t = -2 - o. Is t at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185108.\nAnswer: 2, 7, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*d = 33, 5*k + 5*d = 2 + 3. Suppose 5*q + 0*q = i + 44, 24 = k*q + 4*i. Let n = q - 3. Are 2 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3315 divided by 221.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 - 807\/8. Sort 11, 2\/11, -3\/8, c in increasing order.\nAnswer: -3\/8, c, 2\/11, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(10\/(-21))\/10. Which is the fourth biggest value? (a) -17 (b) 2 (c) l (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 61 = 2*d. Suppose -3*p + d = -3*k, -20*p + 19 = -18*p + 3*k. Solve 13 = 6*z - p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 14 = -2*y, l - 3*y + 6*y + 4 = 0. Solve l*a + 5 + 20 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d + 13. Let p be q(-6). Let n = 785625 - 785620. Solve -2*k + 3*k + 3*y + p = 0, -n*k = 4*y - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61.594314 + 62.3044. Let s = 1.15 - 0.44. Let j = m - s. Round j to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) - (-49)\/(-28). Let y be 2*k\/(-2) - 0. Solve y*u = -3*o - 13, o + 2*u - 4*u + 7 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 464 and 1456.\nAnswer: 42224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/7 - 349*j**4\/7 - 30970*j**3\/7 - 90826*j**2\/7 - 90133*j\/7 - 29929\/7 = 0. What is j?\nAnswer: -173, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -52*i**3 + 12*i**2 - 9. Let w(p) = 13*p**3 - 3*p**2 + 2. Calculate 2*v(h) + 9*w(h).\nAnswer: 13*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k - 6. Let l(g) = -g. Give 4*l(u) - z(u).\nAnswer: -9*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38418907 divided by -3.\nAnswer: 38418907\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14.74 times -0.3\nAnswer: 4.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222255*g**4 - 444440*g**3 + 222115*g**2 + 70*g = 0 for g.\nAnswer: -14\/44451, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10320102 (base 5) to base 9.\nAnswer: 144701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a hour?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/41 (c) -47 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 3, h: 5}. Give prob of picking 3 k and 1 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 410433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z. Let q(c) be the second derivative of -7*c**3\/2 + c**2\/2 - 741*c. Give j(q(u)).\nAnswer: -63*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/5 + 27\/5. Suppose o = -o + q. Solve -1 = b - 4*i, 2*b - 3*i = -o*b - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/150 and ((-613962)\/3900)\/(-23) - 7.\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14430692 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b - 4. Let a be w(-1). Suppose 0 = i - 4*o - 37, -a*i - 2*o = -o - 29. What is the remainder when i is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 745.9199 decades?\nAnswer: 7459.199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 60 = 2*n. Let s be 144\/7 - (-72)\/(-126). Calculate the greatest common factor of n and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - d)*(-20*d + 9*d + 52*d) + (-d + 2*d + d)*(4*d + 0*d - 5*d) to s*d + t*d**2 + c and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18238 and 110?\nAnswer: 91190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 + (4 - (29 + -10 + 17))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 3\/7 (c) 2\/5 (d) 200 (e) 932\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 7. Let g(r) = r + 12. Let n(u) = -10*c(u) + 4*g(u). Let l be n(-8). Suppose -s + 91 = -l. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - q + 8*q + 6*q. Suppose 0 = 7*n - 2*n + 4*g + 86, -3*n + 5*g = 22. Let u(l) = 2*l. Calculate n*u(s) + 3*z(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -23302?\nAnswer: 23300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 58*u + 469. Calculate w(-49).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 1:35 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40419, 80837, 121255, 161673, 202091, 242509?\n\"Answer: 40418*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 20*k = -22 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -519\/7. Let f be ((-24)\/(-14) + -2)*(-126)\/90. Put -0.1, -1.1, f, l in increasing order.\nAnswer: -1.1, l, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24983 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from wssgt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*n + 5*n - 1 - 28 + 12*n as a + g*n and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -105, -361, -855, -1665, -2869, -4545?\n\"Answer: -13*m**3 - 2*m**2 + m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 209762150 to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.433 + -0.633. Suppose 2 - 1 = -y. What is the closest to x in 4, -2\/3, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -3 - -89)\/((-7)\/(-14)). Calculate the greatest common divisor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o. Suppose -5*g + 5*m - 3*m + 23 = 0, -2*m = 8. Let f(l) be the first derivative of 0*l**2 + 0*l - 1\/3*l**g + 1. Calculate f(s(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 8. Let d be z(-12). Suppose -u + 12 = 2*m, 3*u + 3*m = 6*u + 9. Put u, 3, d in descending order.\nAnswer: 3, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 4, b: 3, y: 7, j: 4}. What is prob of sequence ybj?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-127.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 997 + -960. Let r(m) = m**3 + 14*m**2 - 11*m + 9. Let v be r(-8). Calculate the greatest common factor of i and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.4, -800549, -0.2?\nAnswer: -800549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6819*f + 6814*f + 3*x + 32 = 0, -4*f + 2*x + 20 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (2 - (-2 - -1)). Suppose 0 = r*u - 5 - 0. Let l = 2 - u. Solve 5*q - 10 = 5*b, -q - q + b - l = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -11*b + 64. Let q = 19 - b. Suppose 44 - 14 = 3*l + 3*g, 0 = -5*l + q*g + 10. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 6:48 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18607.\nAnswer: 23, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f**(-10)*f**(4\/7)\/(((f\/f**(-18))\/f)\/f))**(-1\/38) assuming f is positive.\nAnswer: f**(96\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) -0.386 (c) -0.3 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 + 7) - 896\/(-224))*19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -5*j + 63. What is the remainder when 119 is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3137\/3 - -1046. What is the third biggest value in -0.38, u, 2\/5?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 5*s - 4*s**2 + s**2 + (-s - 4*s + 4*s)*(-2 + 2*s + 0 - 4*s).\nAnswer: -s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -17. Let i be (18\/(-15))\/((-3)\/30). What is the greatest common factor of i and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 3*d - 258, -14995*k - 3*d - 2172 = -15035*k for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/(100\/225)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 3143*8\/44 - (-42)\/77.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1100 divide 14316500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 12, 0 = r + 4*r + 4*a - 513. What is the greatest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*j = 672*j + 682 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -36*m - 1. Let k be j(-11). Calculate the common denominator of (7\/70)\/((-33)\/k) and -13\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.547 in 0.2, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 748\/55 - (-4)\/10. Solve 0 = 3*j + 5*s - 12, 3*j - 4*s = j - d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4326 + 4326.0005617. What is d rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3183159 is divided by 19524.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 + -104. Suppose m - 3 = 0, -281 = -p*u + 2*m + 31. List the prime factors of u.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1992 - 1957. Solve 0 = 5*w - 20 + d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 47.71239m?\nAnswer: 47712390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 848536?\nAnswer: -50912.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31575796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -11 - 4320960\/(-352) - 12\/(-22).\nAnswer: 5, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 21 = 5*l + r, -17*r + 25*r = 5*l + 56 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50\/9? (a) 5 (b) 1\/2 (c) 191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -7879 and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4621 - 4613. Calculate the greatest common divisor of d and 828.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9. Let a = -104 + 152. Let b(k) = 48*k - a*k - k**v. Let y(u) = -7*u. Determine y(b(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669, -1472, -3415, -7068, -13001, -21784, -33987, -50180?\nAnswer: -70933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 5*a**2 + 5*a - 6. What is t(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*(sqrt(847) + -1) - -5*(-2*sqrt(847) + sqrt(847))))**2*-3 + -4.\nAnswer: -91483 + 396*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 1, 462, 3, 6 in decreasing order.\nAnswer: 462, 11, 6, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -308.107?\nAnswer: -308.107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12105.1 and 2129?\nAnswer: -25771757.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 740389 and 347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhhhhhxhxhxhhhhxxh. Give prob of sequence xx.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1039640 and 127\/623784.\nAnswer: 3118920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157\/45 - -23\/5. Let j be 2\/(-8) - (-18)\/8. Is j at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p + 1. Let x(m) = -3*m**2 + 7*m - 6. Let w(f) = -6*r(f) - x(f). Let y be w(-4). Solve y = 4*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -395*s**4\/12 - s**3\/6 + 7*s**2. Is 65 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4195 is divided by 55.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81870 and 81870?\nAnswer: 81870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-14958.\nAnswer: -14958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3, -507?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjojjjjoj. Give prob of picking 1 o and 2 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 16*s**2 + s - 1. Let t be a(1). Let h(y) = 2*y + 9. Let v = 53 + -57. Let d be h(v). Solve t - d = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 - -113. Let h(c) be the first derivative of -4*c**2 + 138. Let u(w) = -121*w. What is p*u(l) + 44*h(l)?\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11 + 3*g**2 - 99*g**5 - 15 + 7*g + 4 wrt g.\nAnswer: -5940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/(-2575) + (-41 - (27 + -64))\/50?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16268 + -16271. Sort 2\/259, -5\/6, -5, 0.09, r in ascending order.\nAnswer: -5, r, -5\/6, 2\/259, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117.9342l to millilitres.\nAnswer: 117934.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3*i + 19, 3*i - 2*i - 47 = -5*x. What is the lowest common multiple of x and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - -0.6. Suppose 11*y + 296 = 186. Which is the nearest to x? (a) -1 (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -249858*b + 58. Let a(z) = -12*z**2. Calculate g(a(r)).\nAnswer: 2998296*r**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o + 5*i + 27, -4*i + 24 = 3*o. Suppose 714 = -6*x + o*x. Let l = -68 + x. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) -1 (b) -2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*k + 6 - 8, -5*w + 3*k + 21 = 0. Let l be 2\/w*(-3)\/4. Let n = -12.02 - -12. What is the third smallest value in l, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 181059 and 48342753.\nAnswer: 48342753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 3*x**2 - 8*x + 690. Let r be h(0). Suppose 0 = 5*n + 5*n + r. Which is the third smallest value? (a) -0.3 (b) -3 (c) n (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*b**2 - 61*b**2 + 124*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 8\/5 (c) 0 (d) -1\/70 (e) -0.4 (f) -0.3 (g) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75 - 79 - 3*p**5 + 0*p**5 - 2*p**4 + (-p**4 + 0*p**4 + 0*p**4)*(2 - 2 - p) + 4*p**4 + 2*p**5 - 4*p**4 + 4*p**5 + 2*p**5 - 3*p**5.\nAnswer: 3*p**5 - 2*p**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2363769479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 312354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13860 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(176) + 3*sqrt(891) - (-6*sqrt(77)*1)\/(-4*sqrt(63)).\nAnswer: 69*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28.81 and 55?\nAnswer: -1584.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = 9. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 5:19 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 15 = 11*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/9)\/z*z*z)\/((z\/z**(1\/2))\/z))\/((z*z\/(z\/(z*z**18*z))*z)\/z**11) assuming z is positive.\nAnswer: z**(-167\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 7:08 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-4) + (-1)\/2. Let h be ((-6)\/(-1))\/(3\/8). Let o = h - -2. Calculate the highest common factor of w and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*z - 407*z - 29*z - 36*z.\nAnswer: -822*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x - 5. Let t be u(0). Let k = 27 + -26. Put t, k, 5 in decreasing order.\nAnswer: 5, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (6 - (8 + (-9 - -4)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011.681682 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 + 383 + -153 - 3.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*r + 2)*(0*r**2 - 4*r**2 + 3*r**2) + 11*r**3 - 35*r**3 - 46*r**3.\nAnswer: -72*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24708, 98548, 221618, 393918, 615448?\nAnswer: 886208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-3 - 1 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -374, -860, -1552, -2456, -3578, -4924?\nAnswer: -6500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(44\/(-77))\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-6)\/(-120))*(-1)\/4. Suppose 0 = -2*q - 3*v + 3 + 6, f*q + 5*v - 25 = 0. What is the lowest common multiple of q and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -23*g + 109. Let z be c(5). List the prime factors of 1896*(-5 - 33\/z).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3*y + 3)*(0 + 8 - 2)*(-2 - 3 + 3) in the form j + r*y and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/135*3*2\/21?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3825482 or -3825468?\nAnswer: -3825468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**2. Let b(w) be the first derivative of 2*w**2 - 42. Give q(b(h)).\nAnswer: 112*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -288 times 63\nAnswer: -18144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 24, 44, 70?\n\"Answer: 3*s**2 + 5*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 718337751 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 886, 866, 844, 820, 794, 766, 736?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/29, 0, -0.6, 60\/91, 1.4, 0.5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455376*g - 173*g**3 + 184*g**3 - 455376*g.\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1807 - 1819. What is the fourth biggest value in 0, -1, -0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -602, 1, 5, -309, -51, -4.\nAnswer: -602, -309, -51, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2833*o**4 + 545.\nAnswer: -11332*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113.8 + 114. What is the nearest to 7 in 2\/9, m, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10833897, -21667766, -32501631, -43335492?\n\"Answer: 2*j**2 - 10833875*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11052)\/1 + (-4)\/2. Let g = -7803 - r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73128 is divided by 14131.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*q + 93*q**2 - 44*q**2 + 85*q**2 - 46*q to w*q**2 + d*q + g and give w.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 204\/10 + 2\/(-5). Let l be (-180)\/(-22) + (-64)\/352. Calculate the greatest common divisor of l and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**4\/4 + 11*q**3\/3 + 11*q**2\/2 + 14*q + 2. Let w be a(12). What is the greatest common factor of w and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 9, 0.037365, 7 in descending order.\nAnswer: 9, 7, 0.037365, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a516 - -282?\nAnswer: 1a798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + p + 4*p - 16 = 0, 5*k - 2*p = 5. Suppose 16 = -k*u - u. Let c be 36\/(-27) + (-2)\/3. Is u < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, w: 5, e: 5, k: 1}. Give prob of sequence kp.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(376\/48 - 7).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -564. What is c rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0*p**3 - 3\/20*p**5 + 4*p - 2*p**2 + 0 + 0*p**4. What is the derivative of q(b) wrt b?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**5\/15 - 2*u**4\/3 + 64*u**2\/3 + 28*u. Let c(y) = 0. Calculate y.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 37. Let b be c(-16). Suppose 0 = -b*h + 9*h - 268. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 402*p**2 + 793*p**2 - 2*p - 397*p**2 in the form d + o*p**2 + r*p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 13) to base 6.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13820827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 35*l**2 - 53*l + 411. What is the remainder when 2867 is divided by m(11)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:16 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 21112245?\nAnswer: 21112245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/7)\/((-82)\/(-287)). Let m(j) = -j**2 - 8*j - 17. Calculate m(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let z(j) = -j + 135545. What is z(l(d))?\nAnswer: -d**2 + 135545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8476 + ((-3)\/2 - 56\/16).\nAnswer: 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 744 and 32?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 2*q - q - 5*q - q - 14*q.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27864101.03 rounded to the nearest one thousand?\nAnswer: 27864000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7558 (b) 2 (c) 47\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2 + 6. Let k = x - -8. Suppose -2*f - k*f = -438. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 - 13*h. Let u(q) = -24*q**3 - 66*q. Give -14*o(v) + 3*u(v).\nAnswer: -2*v**3 - 16*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 392. Let m(o) = -2*o**2 + 79*o. Give t(m(w)).\nAnswer: -4*w**2 + 158*w + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 43597*x\/2 - 2469615.\nAnswer: (x - 43710)*(x + 113)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6\/7)*h**2*h)\/(((h\/(h*((h**(4\/11)*h)\/h*h)\/h))\/h)\/(h*h*h**5*h)))\/(h**6\/(((h\/h**(-8))\/h)\/h))**(-14) assuming h is positive.\nAnswer: h**(-192\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - c29?\nAnswer: -c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169759769.\nAnswer: 169759769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppippipiipppppppi. Give prob of picking 2 p.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 834648807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 15. Let z(g) = g**3 + 9*g**2 - 7*g + 20. Let l be z(-10). List the prime factors of d(l).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*o = -109*o + 2*w + 2266, 3*o + 3*w = 1722. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36899 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j\/(j*j**21))\/j*j*j*j**20*(j\/(j**(-2\/5)\/j))**(-31))**(-43) assuming j is positive.\nAnswer: j**(15566\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38218051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 102*b + 1582. Determine i(63).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -386 - -407. Suppose 0 = -3*c + 8*c - 60. What is the remainder when n is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130676574 a multiple of 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*i + 2*i - 837 = 0, -9 = -3*i. Suppose q = 3*q - g. Calculate the greatest common divisor of q and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -7*r + 339. Suppose 0*v - 48 = 2*v. Let f = r + v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18477223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 901*h - 21657. Give t(24).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111)\/(-12) + -9 + (-280)\/(-32).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 54*a**3 - 5*a**2 - 4*a + 5. Let w(x) = 28*x**3 - 2*x**2 - 2*x + 2. Calculate -2*d(r) + 5*w(r).\nAnswer: 32*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-5)*(-5)\/2. Which is the closest to 1? (a) -7 (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**2 + 1190*l - 16157. Calculate a(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/44435 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1016805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4722018 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 3. Let z(s) = -1 + 5 + 0 + 0 - s. Let d(b) = -b**3 - b**2 + b - 4. Let j be d(0). What is j*z(v) + 5*h(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5722238 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -108 and -108 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -5*x**8\/336 + 23*x**4\/24 + 21*x**2. Find the second derivative of v(b) wrt b.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31579171 is divided by 2081.\nAnswer: 2077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 6*w**2 + 3. Let j be h(6). Suppose -c = j*c - 32. Suppose -5*b - 25 = 5*x, -5*b + b - c = -2*x. Is -3 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13434 (base 7) to base 12.\nAnswer: -2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 9589.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*p + 4*p - 48 = 0, 5*p = -5*n - 70. Let w = 8 + n. Let v be 2\/3 - (-6)\/w. Solve -r + 0 - 2 = v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -719*i + 1435*i - 720*i. Let s(a) = -4*a + 15*a**2 + 4*a. Give x(s(d)).\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55102207*z**2 - 256509222 wrt z.\nAnswer: 110204414*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1476 + 53*y - 1474 + 2934)*(1 + 2 + 0) as r + j*y and give j.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - (-1 + 3)) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 636?\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2830565690798 and 0.03.\nAnswer: -0.2530565690798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 8 - 23 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) + 18\/14 + 3. Let o be 89\/(-178) + -1*(-2)\/z. Solve 5*d - 4*a = -12, o = 5*d - 5*a + 10 + 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939966522 to the power of 1\/3, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 453 - -164. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**3\/30 + 7*o**2\/10 - 147*o\/10 + 935. Suppose l(v) = 0. Calculate v.\nAnswer: -21, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (11 - 15)) + (1 - 0) + 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 4*t - 9768. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in -55, 3\/7, -2\/527?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p - 2. Let c = 6 - 3. Suppose 0 = 2*v + 4*o - 38, -c*v - 2*o + 7*o + 35 = 0. What is the remainder when a(-3) is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8404552 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-3)\/3)\/(6\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 34282*i - 34285*i + 30, 4*d = 5*i - 18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nemne. What is prob of sequence mee?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15540)\/2331 - 4\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a meter in millimeters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -17 - (0 - -12) - -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7754?\nAnswer: 2, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from dzv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m - 1. Suppose 4*l - 2*v - 2 = 0, -4*l + 2*v - 33 = 7*v. Let a be (-3)\/l + (-4)\/(-8). What is the units digit of i(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -690*b**4*h - 16128*b**2 - 160909637*h wrt b.\nAnswer: -2760*b**3*h - 32256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 465 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (2\/(-2) + 3). Let d(o) = -o**2 - 5*o - 6. Let a be d(x). Let h(b) = b. Let l(i) = -7*i + 3 + i - 2 - 7*i + 9*i + 0. What is a*l(g) - 4*h(g)?\nAnswer: 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -11. Let i(s) = s**3 - 16*s**2 + s + 24. Let l be i(16). Suppose -v - l + 51 = 0. Calculate the remainder when g is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 18151 = d, 3*d - 8957 = 5*v + 45500. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhj when three letters picked without replacement from jjhjyjhjyjhj.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.955374 millilitres?\nAnswer: 0.006955374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15886.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 575 + -572. Suppose -s = -0*s - 5*y - 250, -h*s - y = -750. Is 50 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/16 + 2\/4 - -3. Let w = 100\/10637 + -5117675\/6924687. Let y = 16\/21 + w. Is c bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -378, -758, -1138, -1518, -1898, -2278?\n\"Answer: -380*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 2. Let q(i) = 7*i - 5. Let o = 7 + -11. Suppose 23*u = 15*u + 72. Give o*q(m) + u*c(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -493385*q. Let w(v) = -5*v**2 - 1. Calculate w(d(a)).\nAnswer: -1217143791125*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-592)\/(-80) + (-80)\/(-50). Let v be ((-9)\/(-4))\/(3\/36). What is the highest common divisor of o and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -468*o**2 - 11*o - 9. Let j(h) = h**2 + 5*h + 4. Determine -2*j(k) - p(k).\nAnswer: 466*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**3\/5 + 2022729*x**2\/5 + 16181976*x\/5 + 32364048\/5 = 0.\nAnswer: -4, 674251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9693.43l in millilitres?\nAnswer: 9693430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67.04 + -67. Let w = -382.6 + 381.6. Sort w, 0.5, h.\nAnswer: w, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 579448292 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22830 divided by 3.\nAnswer: 7610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21299911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 11 - 2 + 4*d**2 in the form w*d + a + o*d**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -2*v**7\/21 + 8*v**6\/15 + 12*v**5\/5 - 64*v**4\/3 + 128*v**3\/3 - 681*v - 4. Suppose x(j) = 0. Calculate j.\nAnswer: -4, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100110110100110111101110 - -11?\nAnswer: 1110100110110100110111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46687 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/21 + 1046776*t\/21 - 348926\/7.\nAnswer: 2*(t - 1)*(t + 523389)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19\/10 + -7\/5. Let s be (3 + -2)*4\/2. Factor 0 - 1\/2*w + h*w**s.\nAnswer: w*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -664\/9 - -74. What is the third smallest value in m, -1, 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 419*p + 267. What are the prime factors of n(6)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652966 is divided by 36263.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7599 (b) -4 (c) 1\/4 (d) -1\/7 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, m: 4, r: 1}. What is prob of sequence mms?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 103551?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/60 + 5*k**4\/24 + 7*k**3\/6 - 10*k**2. Suppose -j = -3*d - 18, -24 = 4*d + 4*j - 6*j. Calculate z(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/2310 + l**6\/440 + 2*l**5\/165 - l**4\/22 - 8*l**3\/33 - 89*l**2. Determine d so that m(d) = 0.\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23407, 23373, 23339, 23305, 23271?\n\"Answer: -34*r + 23441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 2614 + 6515 - p**2 - 2924 to b*p + n*p**2 + q and give q.\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 5*k - 681, 2123 = -8*c + 11*c + k. Let f = 711 - c. Solve 6*o + f = 11*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(343) - (sqrt(77)*2)\/sqrt(11).\nAnswer: -37*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62.98691544 + 44.\nAnswer: -18.98691544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/40*3325\/(-3990))\/((-11)\/6 - -2)?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-6)\/(-8))\/(28\/(-7280)). Suppose -4*j - a + 4243 = 0, -j + 5*a = -871 - p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 4*b + 2*b)*(1 + 0 - 2)*(-b**2 + b**2 + 2*b**4 + (1 - 1 + 2*b**2)*(-54 + 10*b**2 + 54) - 149*b**3 + 149*b**3 - 45*b**4).\nAnswer: -46*b**5 - 46*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 67. Let v be (60\/5)\/(r\/(-940)). What is v rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 1. Let n be o(-3). Let z be 1 + 5 + n + -7. Suppose 12 = 4*p + 2*l, -4*l = -p - l + 17. Put z, p, -4 in decreasing order.\nAnswer: p, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -50\/9 (c) -0.2 (d) -1\/2 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Let p(o) = 5*o**2. Suppose 2*u = -0*r - 2*r + 10, -u = 2*r - 6. Suppose 2*b + r = 7. Calculate b*p(w) + 8*k(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 0. Suppose -4*m + 9 = -3, -1670 = -w*x + 5*m. Let q = x - 3710\/11. What is the common denominator of q and 28\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -n - 2*n - 4*k, 6 = -3*n + 3*k. Let a be ((-2)\/12)\/(n\/6). What is the second biggest value in 2, -0.01, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150 - 150. Let v(a) = a**2 + 3*a - 4. Let x be v(-4). Solve -j + c*j = x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3077*q - 96292. Let f(z) = -z + 38. Let h(p) = -2534*f(p) - w(p). Let y(n) = -2*n. Determine y(h(m)).\nAnswer: 1086*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n - 2*l + 5, -5*l - 7 = -4*n. Suppose 2*s - 7*s + k = -15, n*s = 4*k + 26. Sort -3, s, 1, 0 in ascending order.\nAnswer: -3, 0, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 302843380 - 167543380. Suppose 0 = 3*b - 0*b - r. What is b rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45061 + 322?\nAnswer: 45413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 a when three letters picked without replacement from chcccahhcmhahhhcmhh?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-226)\/2147)\/(1014\/2223)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 1353?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 62, 46, 3, 115, -2\/3 in decreasing order.\nAnswer: 115, 62, 46, 3, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152984940?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26570696?\nAnswer: 2, 193, 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7191)\/(-47))\/(-24174))\/((-3)\/(-18)*3).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22020 + -210010002?\nAnswer: -210102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8580277 decades to years.\nAnswer: 8.580277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2165.815 nanoseconds to seconds.\nAnswer: 0.000002165815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*n - 168 - 754 + 126 - 866 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**3 - 199 + 3*d - 2*d**2 - d**2 + 0*d + 210. Let j(u) = 2*u**3 - u**2 + u + 4. Calculate 11*j(g) - 4*o(g).\nAnswer: 2*g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/1)\/(-3) - 23. Let o = x - -35. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2247, -2255, -2275, -2313, -2375, -2467, -2595, -2765?\nAnswer: -2983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*97\/1843*(-128)\/16*(-1)\/8?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1450652 (base 10) to base 5\nAnswer: -332410102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1642*j + 1 + 822*j + 821*j. Let n(i) = -21*i**5 - i**4 - 32*i**2 + 2*i + 3. Let o(v) = -n(v) + 3*t(v). Find the third derivative of o(w) wrt w.\nAnswer: 1260*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 3}. What is prob of sequence ri?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**2\/5 + 262152*j\/5 - 1991200 = 0.\nAnswer: 38, 65500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 14, -1, 0, 26\/25 in ascending order.\nAnswer: -7, -1, 0, 26\/25, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -92.4.\nAnswer: 92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3115*c**3 + 14*c**2 - 14*c - 21. Let m(s) = -2*s**3 - 2*s**2 + 2*s + 3. Calculate l(v) + 7*m(v).\nAnswer: -3129*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 20797, -7 in decreasing order.\nAnswer: 20797, 6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 - (1 + (8 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 6 + n**5 - 6 + (n**2 + n**4 - n**2)*(n + 2*n - 5*n).\nAnswer: -n**5 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*t - 270 = 0, 2 = 2*t - 0. Suppose -96*p = -i*p - 475. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/15 - 41\/165. Find the common denominator of h and -28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 11*t = 4*j + 12, -5*t = 3*j + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1\/99, -2\/75?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/5, 0.2, -3, -0.56, 0.49, -2\/211?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 0*m**4 + 0*m**5 - 137\/6*m**3 + 0*m**2 - 1 + 101*m - 3\/5*m**6. What is the second derivative of c(g) wrt g?\nAnswer: -216*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.23 + -3.75. Let x = -0.02 + y. What is the third biggest value in 0, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 22*s**2 + 21*s - 4. Let j be x(-21). What is the units digit of ((-7)\/(84\/(-16)))\/(j\/(-282))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b. Let y be z(3). Suppose -3*j + j + y = 0. What is the units digit of 8\/12 + 7\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2. Let v(j) = 43665903*j**2. What is t(v(k))?\nAnswer: 9533555424027045*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13081699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 14253*v + 85521. Give k(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**4*s**2 + 14*a**4 + 41*a*s**2 - a wrt a.\nAnswer: 60*a**2*s**2 + 168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -312*h**6 + 407*h**3\/3 - 2688. What is the third derivative of z(a) wrt a?\nAnswer: -112320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -882 - -881.99938525. Round m to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m + 2. Let d(p) = -4*p**4 - 5*p**3 - 6*p**2. Let o(s) = s**4 + s**3 + s**2. Let n(r) = m*d(r) + 5*o(r). Find the third derivative of n(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*2 + (-96)\/(-39). Let v = -2.123 - -0.123. Put n, v, -0.4 in ascending order.\nAnswer: v, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/378 and 119\/1601478?\nAnswer: 11210346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77115, -1, -3.\nAnswer: -77115, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = 4*l + 153, -1065*l + 1063*l = -4*t + 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-4)\/(5*8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-45458)\/(-12) + (-65)\/(-78)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t**3 - 8*t + 8*t)*(-3 + 8 + 2).\nAnswer: -63*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*p - 1 = 0, 4*p + 52 = 7272*h - 7268*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*l - 10. Suppose -5*j = -3*s - 240, -l*s = -j + 5*j - 192. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*s**2 + 52*s**2 + 43*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 3*s**2 + 3*s - 1. Let f be v(-4). Suppose 4*t - g - 2 = t, f*t = -3*g + 6. Put -10\/7, 0.1, t in increasing order.\nAnswer: -10\/7, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175216048 is divided by 4397?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3336634 (base 10) in base 8?\nAnswer: 14564672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - d + 4*d + 3*d + 8.\nAnswer: 6*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttp when four letters picked without replacement from {t: 12, p: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((287840\/(-24))\/10)\/((-8)\/24)*7.\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -274 - -451. What is the remainder when s is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167708468?\nAnswer: 2, 3, 181, 353, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 832210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:45 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 4. Suppose -5*i = -3*t - 115, p*i - 5*t - 65 = -0*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2727300?\nAnswer: 2, 3, 5, 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 321\/(-5) + (-3)\/(-15). Calculate the remainder when 154 is divided by (j + -1)*(-27)\/45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -4. Solve -3*v + d = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 5*b**2 + 5*b + 8. Let j be q(6). Suppose j*r + 3*r = 25. Let z be 4*r*(-2)\/(-5). Solve i + z = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*y - 1320 + 352 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 84*o - 9246. Let w be x(110). Let c = -8 + 11. Let j(s) = c - s**3 - 3*s**2 + s**2 - 5*s**2 - 6*s. Calculate j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10986 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/(-8) - (67 - 65))\/((-1)\/8). Let v(s) = -s**2 - 4. Give v(r).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (88\/66)\/((-2)\/(-6)). Suppose -2*d = -y*b - 222, 0 = d - 3*b - 13 - 102. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4 = -2*c, 2*k + 18 = -3*c + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -110. Let d = x - -43.46. Let g = -4.94 - d. Round g to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11505 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.5. What is the second biggest value in -3\/4, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1440*n - 328399 = -1451*n - 72979. What are the prime factors of n?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*f - 5875 = 0, -4*f - 5854 = -g - 2*f. What are the prime factors of g?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6307, 6348, 6389, 6430?\n\"Answer: 41*q + 6266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5994 is divided by 99.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63181 and 3025144?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-2 - (-12 - -4)). Let h be 312\/(-60) + 1*q. Which is the smallest value? (a) 0.1 (b) h (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 10 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.0829t in micrograms?\nAnswer: 315082900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 1. Solve g = 2*a - 0 - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + -1 - -3 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -218*r**2 - 10*r - 30. Let j be u(-5). What is j rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(49)*2*-2)\/((sqrt(112)\/sqrt(100))\/sqrt(4))*1.\nAnswer: -60*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 49*h**2 - 91*h + 67. Let r be b(45). Calculate the greatest common divisor of r and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4446\/727 + -20102051\/14540. Let u = 1388 + p. Calculate the common denominator of u and 91\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + (-48)\/(-21). Let l(n) = -9*n + 9*n + n**m. Let x(y) = 0*y**2 - 3*y**2 - y**2. What is l(x(d))?\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 6:15 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0541 and 5.\nAnswer: -0.2705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {v: 6, x: 13}.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x**3 + 4*x**4 - 2*x**4 - 24*x + 21*x to a*x**4 + w*x**2 + j*x + u*x**3 + s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40037, -320408, -1081413, -2563370, -5006597, -8651412, -13738133?\n\"Answer: -40053*b**3 + b**2 - 3*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z + 4 = 4*u, -5*u - 1 = z. Suppose -v - 4 = 0, z*v = -2*s - 0 - 8. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h**2 + 4*h. Let v be y(-5). What is the greatest common factor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 3093 = -1427. Suppose 2*r - 458 = 2*g, -2*g - j = -2*r + 2*g. Suppose -o = 3*v - 54, 0*o + 4*o - 4*v - r = 0. What are the prime factors of o?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33 (b) 184\/7 (c) -15 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 693236701 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 8*g + g**3 + 872 - 1768 + 885. What are the prime factors of f(7)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 26. Let r be h(10). Let y = 40 + -40. Let q = 2 - y. Solve -v + r*v = 3, 2*v = q*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1187 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1))\/f)**27\/(f**4*f*(f*f\/(f*((f*f**1)\/f)\/f))\/f))\/((f\/f**4*f\/((f*f**(-1\/4))\/f))\/((f**(-4\/7)*f*f)\/(f\/((f**3\/f)\/f)))) assuming f is positive.\nAnswer: f**(705\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-2448)*792\/924.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 423\/8 - 2901\/56. Suppose 0 = -c + 4*c - 18750. Let g = c + -100067\/16. What is the common denominator of p and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = 192*t + 1584 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 + 181*k - 1695. What is the lowest common multiple of 102 and g(78)?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/7)*s**(1\/2))\/((s*s*(s**(-11)*s)\/s*s*s)\/s*s\/s**22*s*s) assuming s is positive.\nAnswer: s**(379\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 4.1. Let k = -5.9 - w. Let d = -6.999988 - k. What is d rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 610459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56.35816 - -0.5.\nAnswer: -55.85816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 1, f: 16}. Give prob of picking 1 m and 1 c.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-70)*-1*(-2)\/3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**3*n + 292*l**3 - 83*l*n**2 wrt n?\nAnswer: -l**3 - 166*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 = 13*n + 21*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 13\/2, -0.3, 3, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 24. Solve -n*m - 3 = p + 12, 0 = -2*p + 5*m + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 6*n**5\/5 + 142*n**4 - 1954*n**3\/3 + 294*n**2 - 422. Factor q(b).\nAnswer: 2*b*(b - 3)*(b + 98)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001448579766 to 6 dps.\nAnswer: -0.001449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/3 + 6. Let s = -224.9 - -245. Let t = 20 - s. Which is the closest to t? (a) -3 (b) -2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = -3*x. Let j be 2 - 9572*x*-2. Suppose 3*s - 1175134 = j. Round s to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 77*m**2 - 2. Let j be o(1). Calculate the greatest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1617) - (sqrt(1617) + 4*(sqrt(1617) + sqrt(1617)*-2))) + 2*sqrt(1617)*4)\/((sqrt(12) - 3*sqrt(300))*-6).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.36 - 4.64. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 945560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d + 132 = -2*z, 17*z + 16 = 4*d + 19*z. Factor -d*x - 1 - 25\/4*x**2 - 1\/4*x**5 - 7\/4*x**4 - 19\/4*x**3.\nAnswer: -(x + 1)**3*(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 93 greater than 249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 210812 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1 + (-6)\/2 + 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/(-27)*-3*(-3 - -2). What is the closest to 2 in 2, 539, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18495982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 577, -9, -5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -31, -45?\n\"Answer: -14*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 132 (b) -1\/2 (c) -32 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113458868 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14413, -17101, -19789, -22477, -25165, -27853?\n\"Answer: -2688*f - 11725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, 3, 8 in descending order.\nAnswer: 8, 3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -68*h**3 - 85*h**2 - 85*h + 85. Let k = -14 + 15. Let a(g) = -g**3 - g**2 - g + 1. Calculate k*b(w) - 85*a(w).\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3722 divided by -13.\nAnswer: 3722\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z, 0 = 2*a + 2*z + 2*z - 48. Suppose -8*h + 13*h = a. Does 30 divide (122 - 32)*h\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*z + 56*z - 829*z)*(z - 5*z + 2*z).\nAnswer: 1654*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3\/72*(-78)\/(-39)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 2483*c + 13 - 6 - 2621*c - 4*c**3 - 4*c**3.\nAnswer: -8*c**3 - 138*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -263487 (base 12) to base 7\nAnswer: -5223511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1366 divided by 176168\nAnswer: -683\/88084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3300 or 228?\nAnswer: 3300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f - 5*l + 5, -3*f + 3*l = 3. Suppose 2*j + 0*j - 58 = f. Calculate the highest common divisor of 232 and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + m**3 - 4*m**3 + (3*m**2 - 5*m**2 + 0*m**2)*(7*m - m - 11*m) as v + p*m**3 + q*m**2 + r*m and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/91, 0.0259, 170\/67 in increasing order.\nAnswer: 2\/91, 0.0259, 170\/67, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 15. Let p be 3*(0 + (-2)\/6)*-17. Let w be m(p). Suppose -3*z + 20 = -7. Solve 0 = -w*j + z - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/27 + ((-24)\/(-15))\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -44*k**3 - 13*k**2 + 3*k - 57. Let z(f) = -14*f**3 - 5*f**2 + f - 20. Give -3*j(p) + 8*z(p).\nAnswer: 20*p**3 - p**2 - p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1357817336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5547*z**2\/4 - 3870*z - 2700.\nAnswer: -3*(43*z + 60)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*z + 16, 0*b - 11 = 3*b - 4*z. Let h(u) be the first derivative of 1 + u + 1\/6*u**b - 3\/4*u**2. Factor h(d).\nAnswer: (d - 2)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*d - 13 = -2*d, -4*s - 4*d - 12 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(190)*1)\/((sqrt(1000) - sqrt(1000)*-2) + sqrt(1000)).\nAnswer: sqrt(19)\/20 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 47\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - h + 2)*(2 - 2 + 2*h)*(3 + h + 4 + 5).\nAnswer: -2*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.94*-0.4.\nAnswer: -9.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*g + 23*g - 8, -2*j + 2*g = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 221\/2108*1376\/(-2236)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/4 - 5*o**4\/2 + 75*o**3 + 1250*o**2 + 5000*o = 0. Calculate o.\nAnswer: -10, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30466*k - 910984 - 734180 = 0 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -17 - (-3 - -1)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-3*sqrt(98)*-5 - sqrt(98) - sqrt(98)) + ((sqrt(98) + -3*sqrt(98) + sqrt(98) - sqrt(98) - sqrt(98))*-5 - sqrt(98)))*-4)**2.\nAnswer: -7560*sqrt(2) + 1143097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000665019 to 7 dps.\nAnswer: 0.0000665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -1 - 39 - (-7 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7012 (base 8) in base 4?\nAnswer: -320022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515560 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 + 30*k**2 + 31*k + 41. Suppose 0 = 7*j + 1608 - 3127 + 1617. Determine n(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1428 divide 178070172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/357)\/((-2)\/12)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/55 + (-954)\/(-15). Are j and 62 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 403 - -126. Which is smaller: 526 or h?\nAnswer: 526","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-7.6\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, 60, 100, 168, 270, 412, 600, 840?\n\"Answer: k**3 + 5*k**2 - 4*k + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.5 + -0.5. Suppose 3*m + m = 12, 19 = 2*g + 5*m. Suppose -5*l - 2*q - 22 = -0*q, -g*l = -4*q + 4. Sort j, l, -1\/4 in descending order.\nAnswer: j, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = 3*a. Suppose -a*p = -0*p. Let r(l) = -l**2 - 5*l + 2. Let q be r(-5). Which is bigger: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 516700+5\nAnswer: 516705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - 3*u)*(5 - 22*u**4 - 4 - 12*u + 21*u**4).\nAnswer: u**5 + 12*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32616 and 7020.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230749 is divided by 162?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/40*(-150)\/60)\/(3\/(-348))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**4 + 4*m**4 + 5*m**4 + (3*m - 2*m - 3*m)*(4*m**3 + 0*m**3 - 2*m**3) - 5*m**4 + 18*m**3 - 18*m**3 + (-m - m + 5*m)*(-1 + 1 + m**3).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 346 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 13. Let b = 4 - y. Suppose 0 = b*o - 3. Put o, -4, 2 in ascending order.\nAnswer: -4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 11 = -17. Let y(o) = -o**2 + 5*o + 9. Let v be y(g). Does 11 divide (2 + -3)\/(v*(-1)\/231)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 257*q - 764. Determine y(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/208 and 101\/30.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24696028?\nAnswer: 2, 7, 107, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*o**5)*(6 - 1 - 2) + (2*o**2 + 4 - 4)*(3*o**3 - 6*o**3 + o**3).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3213 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**3 + 4*l**2 - 7*l + 5. Calculate b(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + 3040304?\nAnswer: 3040334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*o = 1, 5*o = -2*z + 6*o - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 3*u + 3*u)*(-2*u**3 + 2*u**3 - 2*u**4 + (1 - 5 + 2)*(-2*u**4 - 3*u**4 + 4*u**4) + u**4 + 2*u**4 - 2*u**4 - 19 - 37*u**4 + 19).\nAnswer: 36*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 12 - 7 = -2*o - 13, -2*o + 812850 - 812841 = -5*o for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00134543016 to 7 decimal places.\nAnswer: 0.0013454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 125*i - 121*i = 20, 4*o - 3*i = 29 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929424 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: What is the units digit of 140070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a. Let p(m) = 2607041*m**2. Determine n(p(b)).\nAnswer: 5214082*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1008)*4.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-12))\/((-1)\/6). Suppose 3*c = -r*p + 67, c = -p + 3*c + 14. Calculate the remainder when 110 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = -c, -5*c - 11 = -q - 9*c. Suppose 3*d - 57 = -q. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220460459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 8 = -4*x, -2*h - 1 = -3*x - 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 322253 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 881\/4 + -222. Find the common denominator of z and (558\/(-297))\/(46\/3).\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/20414 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 24*w + 28. Let k be g(25). Find the first derivative of 4 - 3 - 71*d - 12*d + k wrt d.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqgqgg. Give prob of picking 2 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2 + 3*w - 3. Let m(q) = q**2 - 13*q + 2. Let b be m(13). What is the tens digit of v(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89\/42 - 11\/14. Let m = -1.893 - -1.393. Which is the second biggest value? (a) -2 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 + 3.1. Suppose -2*b - 15 = -b - 4*z, -z + 1 = -3*b. What is the biggest value in b, 2\/7, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16932, -16938, -16944, -16950?\nAnswer: -16956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(360) + (sqrt(360) - (1*sqrt(360) - sqrt(360))))\/sqrt(10))\/(sqrt(3) - 4*(sqrt(3) + sqrt(12))))\/(1*sqrt(196) + -2*(sqrt(16) - sqrt(4)))*6)**2.\nAnswer: 432\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + (-12 - (28 + -22)) + -7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52163562 by -407.\nAnswer: -128166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -35196, -1 in increasing order.\nAnswer: -35196, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52619728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p**2 - 77560*p - 10340 = 0. What is p?\nAnswer: -1034, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3863 or 3869?\nAnswer: 3869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/17, 0.2, -0.2, 0.107?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = -42. Suppose -q = -4*r - 130. Let k be (-10)\/(-55) - 87996\/r. What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 11) to base 12.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 times 0.008\nAnswer: 0.00176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*p**3 + 16*p**3 + 23*p**3 + 26*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k - 2*n + 24 = 0, -4*k - 3*n = -32. Suppose -k*m + 7127 = 1487. List the prime factors of m.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250 (base 9) to base 8.\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a**2 + 4*a + 6. Let n(b) = 7*b**2 + 4*b + 7. Let f(p) = -4*n(p) + 5*y(p). Let f(w) = 0. Calculate w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -890.431 - -1.431. Let t = q + 881. What is the nearest to 0 in -0.5, 3, -2, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 - 4893*s\/2 + 68649\/4.\nAnswer: -3*(s - 7)*(s + 3269)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 4*m**3 - 2*m**2 + (m**2 + m**2 - 3*m**2)*(-1 + m + 1) - 2*m**3 + 2*m**3 - 2*m**3 + 2*m**3 - 9*m**3 + 14*m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = p + p. Let o be (-40)\/(-6) + (-8)\/p. Let w = -1 + 1. Which is greater: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66516.59cm to micrometers.\nAnswer: 665165900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50a40 (base 13) to base 2.\nAnswer: 100011010010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*m**2 - 28*m + 28*m - 372*m**2 + 730*m**2.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 1246420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 143*n**2 + 1. Let w(t) = -103501*t. Determine z(w(q)).\nAnswer: 1531881351143*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -612, -1.86?\nAnswer: -612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 314143, 386 in ascending order.\nAnswer: 1, 386, 314143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 0, -s = -z + 6*z - 12. Suppose -6*m + 24 = -z*m. Suppose 0 = m*v - 7*v + 2. Sort v, 5, 1 in increasing order.\nAnswer: 1, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 352\/(-184) - 2\/(-23).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {a: 4, p: 2, w: 2, i: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-7)\/(-21))\/((-3)\/198))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -20.6. Sort r, -3\/7, -4\/7, -0.1 in decreasing order.\nAnswer: r, -0.1, -3\/7, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532422 = 69*i - 2274622 - 176033. What is the ten thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 5. Let m = z - -5. Let x(i) = i + 16*i**m + 4*i - 5*i**3 + 3. Let t(q) = -6*q**3 - 3*q - 2. Calculate -7*t(g) - 4*x(g).\nAnswer: -2*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 1:41 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1757*u + 1952 with respect to u.\nAnswer: 1757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 5*o + 1. Let y(k) be the third derivative of k**4\/24 - 2*k**3 + 7*k**2. Let a be y(4). What are the prime factors of g(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -252 - -2266\/9. Let m = -5.3 + 0.3. Let c = -6 - m. What is the nearest to b in c, 3, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 36*n + 13. Calculate r(-2).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*z - 7 + 38 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*y - d + 19, d - 5 = -y. Solve -5*k - 5*n = 0, -5*k + 3*n - 15 = y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -16062476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 17*y**2 - 16*y + 11. Let u be o(-9). Suppose -4*z + 1870 + u = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 125 = 4*q + 3*w, -q + 5*w = -14. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, 1, -4, 5, -2\/11 in decreasing order.\nAnswer: 5, 1, 0.041, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + -53402?\nAnswer: -53414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 0*x + x + 2.\nAnswer: x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.347691 rounded to one dp?\nAnswer: -32.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 44, 26, -4, -53 in ascending order.\nAnswer: -53, -4, 12, 26, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67069 by -1427.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 1 - (35 - 19)) + -4 + -2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -19483235?\nAnswer: -19483234.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 388 - -1378?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-10) - ((-539)\/55 - -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29\/4 - 3037\/420. Suppose -105 = -4*b - 101. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*v + 4*s + 10, 3*s = -4*v + 9. Suppose 0 = -2*h - 0*h + v*z + 97, -3*h + 171 = 4*z. Suppose 2*r - h = 5. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -502, -229, 822, 2657, 5282?\n\"Answer: d**3 + 383*d**2 - 883*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -8*c + 1\/6*c**4 + 0*c**3 - 12 + c**2. Give n(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 7) to base 6\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1427710, 1427719, 1427728, 1427737, 1427746?\n\"Answer: 9*d + 1427701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52288.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 14*h + 4. Let v be d(1). What is the third derivative of -10*q**5 - v*q**2 - 13*q**2 + 41*q**4 - 41*q**4 wrt q?\nAnswer: -600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 1:25 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2616476, -10465994, -23548514, -41864030, -65412536, -94194026, -128208494?\nAnswer: -167455934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*r - 9 + 42, -92 = -3*f - 4*r. Calculate the least common multiple of f and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309755681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10*-1)\/(12\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197356486?\nAnswer: 2, 98678243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -80*i + 1. Is d(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbcbebccpbbpc. What is prob of picking 2 p?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(2 - (-10)\/(-15)). Solve 3*a - 1 = q*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h**3 + 2*h**2 + 2*h - 2. Let x(q) = -21*q**3 + 5*q**2 + 5*q - 5. Let o(m) = -5*r(m) + 2*x(m). Let z be 4 + (0 - (-15)\/(-5)). Give o(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 39. Let m = 8.7 + 2.3. Let p = -10.6 + m. Which is the nearest to -0.1? (a) p (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*h)*(1134 - 287 + 124 + 44 + 896).\nAnswer: 3822*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3700 - -55481\/15. Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3596396 and 2212?\nAnswer: 25174772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 252*s**5 - 320*s wrt s.\nAnswer: 5040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*p = 72, -3*s + 56 = -2*p + 3*p. Suppose -n + 26 = -u - 37, 2*u = -6. Calculate the greatest common divisor of n and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.007687 micrometers?\nAnswer: 0.000000000007687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 11*b - 15. Let a be s(13). Suppose -c + a = -4*r, -c + 41 = -r - 3*c. Let z = 61 + r. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -2\/9, 1, 143.\nAnswer: -2\/9, 3\/8, 1, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 24681.05um?\nAnswer: 0.00002468105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 6 = -3*q, 5694*q - 5*c - 25 = 5692*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 = 0, -5*v - 2*p - 3*p + 4355 = 0. Let a be (-4)\/5*v\/6. What is a rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -131*d + 14357. Calculate p(109).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-1 + -1 - -3). Let n be ((-2)\/8)\/(5\/c). Calculate the greatest common factor of 4 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -378 (b) -3.7 (c) 3\/4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28331, -28349, -28369, -28385, -28391, -28381, -28349, -28289?\n\"Answer: u**3 - 7*u**2 - 4*u - 28321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69551 and 67981?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1)\/(-2 + -1). Let q be (4\/(-6) - (-164)\/264)*4. Which is the closest to 1? (a) q (b) u (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -350.69 and -3.\nAnswer: 1052.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 9, 0.09, -8 in ascending order.\nAnswer: -8, -5, 0.09, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 2*y - 1. Suppose -4*r = -3*k - 10, 6 = -4*k + 2*r - 4. What is n(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 48*x - 1. Let g(a) = -31909*a + 15954*a + 15945*a. Calculate g(u(w)).\nAnswer: -480*w + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 0*v**5 + 0*v + 0*v**6 + 2\/35*v**7 + 0 + 0*v**3 + 3\/8*v**4 + 7*v**2. What is the second derivative of t(g) wrt g?\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(1\/5)*j*j)**(1\/4)*j\/((j*j**(-7)\/j)\/j)*j*j**1\/j assuming j is positive.\nAnswer: j**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12650)\/2300*(-1 + 1*-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, -71, 3\/4, -1912?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 + 2*r**2 + 2. Let h(m) be the first derivative of m**4\/4 - m**3 - 3*m - 7. Determine 2*h(w) + 3*k(w).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 15491903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92710940381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, n: 7, z: 3, g: 3, l: 2}. What is prob of sequence zg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**3 + l - 2. Let u be b(1). Solve -u + 13 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 323 + -163. Suppose 6 - d = -11*g. Solve 4*w = 2 + g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1284410 and 2929?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.145 * -21.57643\nAnswer: -3.12858235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3753440 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lff when three letters picked without replacement from fzazzzfaalzzfa.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + -5 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.07 - -56.93. Let c = z - 312. Let i = 254.000529 + c. What is i rounded to 5 dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 4*i - 2*w - 326 = 0, -812 = -5*i + 2*w. Suppose -62*q - i = -1650. Factor -16\/3*y + 0 - q*y**2 - 27*y**3.\nAnswer: -y*(9*y + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 136. Give o(26).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 61 = 5*p + 456, 4*l = 3*p + 311. Let w = -63 + l. What is the remainder when 49 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9369671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -60.11. Let l = 466 + -467.89. Let m = l + g. Which is the nearest to m? (a) 3 (b) -2\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16234?\nAnswer: 2, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*d**3 - 124*d - 562\/9*d**2 + 0.\nAnswer: -2*d*(d + 2)*(d + 279)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*k - 10 = 0, -z = -4*z + 3*k - 12. Let i(n) = 2*n**3 + 2*n**2 + 2*n + 2. Give i(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*t = -3, 0 = -4*u - 5*t + 186 - 177 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/3)\/((-28)\/(-126)). Let t(f) = 9*f + 48. Let u be t(n). List the prime factors of 4 - ((-96)\/9)\/(u\/(-63)).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(m - 1 + 1)*(0 + 0 + m**2)*(m**2 - 4*m**2 + m**2).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 - 0.1. Let p = n - 6. Put p, 5, 3 in increasing order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -1\/40 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 289*b + 81. Let o(h) = -1539*h - 405. What is -2*o(g) - 11*w(g)?\nAnswer: -101*g - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 4) in base 6?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/13*f - 2\/13*f**2 - 242\/13.\nAnswer: -2*(f + 11)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 80.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9 - -15 - ((-1092)\/(-30))\/7. What is the nearest to -2\/7 in 2\/3, 62, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l*l*l**(-5\/3)*l*l)))\/(l*(l\/l**(-6)*l*l)\/l))**37*(l**(-3)\/(l\/(l*l\/(l\/(l\/l**1)*l))))\/(l\/((l\/(l**(1\/4)*l))\/l))**(-4) assuming l is positive.\nAnswer: l**(-836\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477509 is divided by 119330?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/5 - 92556*u**3\/5 - 1944867*u**2\/5 - 4075776*u\/5 + 3334284 = 0.\nAnswer: -18, -5, 2, 30873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -10) + 0 + -2 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 19 = -4*g. Suppose 0 = -5*x + 2143 - 2128. What is the remainder when g is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 813076 and 70?\nAnswer: 28457660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/25, -0.4, 4, 9, -9, -3\/7 in decreasing order.\nAnswer: 9, 4, 4\/25, -0.4, -3\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/10677678 and -81\/37210090.\nAnswer: 1227932970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 1 + 15. Let u be 104\/24 - 8\/6. What is the tens digit of (4 - u)*(r + 51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c\/(c\/c**(-2\/3)))))**(-46))**(-22) assuming c is positive.\nAnswer: c**(-2024\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4 + (sqrt(171) - (sqrt(171) + -1 + -1)))**2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6968643651.\nAnswer: 3, 317, 593, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112.226 + 0.226. Let q = v + 78. Let h = 34.00021 + q. Round h to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2 (c) -6\/7 (d) -3 (e) -15 (f) 4 (g) 15\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 divided by -5020.\nAnswer: 61\/2510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 2 - 2)*(4*m**2 + 0*m**2 - m**2) + 0*m**3 - m**3 + 3*m**3 + 5*m**3 + m**3 - 4*m**3 + (m - 3*m - 3*m)*(0*m - 2*m**2 + 0*m).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2723, 4, 7, -2 in increasing order.\nAnswer: -2723, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of 0*g**3 - 3\/8*g**4 - 89*g**2 + 0*g + 0. Let n(h) = 11 + 5 - 16 - 4*h. Give m(n(b)).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211100 + -12213320?\nAnswer: -12002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/729, 2\/7, 23 in increasing order.\nAnswer: 2\/729, 2\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93355984601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*n + 10*n = -745*n + 24358 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 1\/70, 0.5, -1686\/65?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 32*s - 32. Calculate b(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - t = 382, -t - 135 = 5*u + 2*t - 6 + 137 for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, 5, 4 in decreasing order.\nAnswer: 5, 4, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 3. Let z be l(6). Suppose -z*g - 2*m = -22, 2*g + g - 17 = -m. Let t = 2 + -1.5. Which is the second biggest value? (a) t (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1884225, 3768448, 5652671, 7536894, 9421117, 11305340?\n\"Answer: 1884223*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 7 + k**2 - 7*k + k**2)*(10 - 6*k - 10)*(-2 + 3 - 2)*(3*k - 2*k - 2*k).\nAnswer: -12*k**4 + 30*k**3 - 42*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5766.05 meters to micrometers.\nAnswer: 5766050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18887, -18873, -18887, -18959, -19119, -19397?\nAnswer: -19823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36651*w**3 - 8964*w**2.\nAnswer: 219906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(8*7\/112).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -11*t**6\/6 - 3*t**5 + 559*t**3\/3 + 908. What is the third derivative of k(s) wrt s?\nAnswer: -660*s**2 - 360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*j + 11, j - 4*q = q + 17. Let a(z) = z**3 - 6*z**2 + 6*z - 3. Let g be a(5). Solve 2 + j = -g*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 3:58 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 394702.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 7*k + 10. Let g be q(5). Solve 0 = -4*l - 3*h - 3 + g, 0 = -4*l + h + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + w**2 + w - 120. What is b(0)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -826 = -51*r + 2693. Calculate the remainder when 251 is divided by r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2859350327?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flfk when four letters picked without replacement from fllkdfkd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*c + 0 + 2 + 124*c - 7.\nAnswer: -12*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 5*b - 33. Let v be 52\/b - (-14)\/(-6). Let x be 1\/1*(-3)\/(-1). Put x, v, 15 in descending order.\nAnswer: 15, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -73*q**3\/3 + 9*q**2\/2 - 23*q. Is v(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u - 57 = 0. What is the tens digit of 2 - u - (-2)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2348 and 6024.\nAnswer: 1414.4352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042 divided by -773?\nAnswer: -1042\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 9)*(3 + 4 - 4)*(703 - 703 - 35*z) to o + j*z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -556276 rounded to the nearest one thousand?\nAnswer: -556000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/10 (b) 4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 15 - 40 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9239 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.633 and -0.5.\nAnswer: -0.8165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 2)*(3*m - 2*m - 4*m + 99*m + 6*m - 208*m + (-5*m - 2*m + 5*m)*(4 - 3 + 0)) in the form c + s*m and give s.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10878, -41813, -93374, -165561, -258374?\nAnswer: -371813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2610 - 2044 + 1024)*(4*d**4 - 2*d**4 - 3*d**4).\nAnswer: 3630*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l - l + 5*i, -5*l - 3*i = 3. Suppose l = -h + 7*h + 48. Let b = 68 + h. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989128255.\nAnswer: 5, 397825651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -6 - 1\/2*w**2 + 18*w. Is 9 a factor of f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62572*y**2 - 8*y**3 - 1 + 62572*y**2 - 156*y as m*y**3 + a*y + v*y**2 + j and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507348 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/2 (b) 2 (c) 2\/121 (d) 0.08 (e) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Let s(g) = -2*g + 3. Let k be s(-2). Suppose r - 5 = 4*n, -2*r + 7 = -k*r + 4*n. Let i be -1*0\/(-3) + r. Give m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*p + 37, -2*p = q - p - 2. Let i = 0.6365 + 0.3635. What is the second biggest value in i, q, -6, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from aaaaaaaaazaaaaa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-6))\/((-1)\/(-2)). Let m be 0 + -1 - (1 - o). Let d = m - -3. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**4 - 6*d**4 + 7*d**2 - 5*d**2 - 2*d**3 + 2 in the form a + t*d**2 + p*d**4 + v*d + n*d**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - ((-4)\/22 + (-20)\/11). Are f and 7\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -231, -367, -507, -645?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 11:35 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m - 3*m - m)*(2*m**2 + 0*m**2 - 4*m**2) - 2*m - 2*m**3 + 4*m + 3*m**3)*((0 + 1 + 1)*(-2*m**2 + 2*m**2 + m**2) - 21*m**2 + 3*m**2 - 7*m**2).\nAnswer: -115*m**5 - 46*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -120 + 115. Let s be 2\/g - (-799)\/85. What is the highest common divisor of s and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 0)*(-28*i - 76961 + 90*i + 77132 + i**2).\nAnswer: -2*i**2 - 124*i - 342","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 + -13)*2*5\/(-3). Let i be (((-2)\/(-1))\/(-1))\/(l\/45). Suppose i*m - 670 + 40 = 0. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 32*r - 1185. Let u be f(-54). Solve -4*k - 8 = 4*v, -2*v - u*k = -2 + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 56*y. Let t be m(1). Suppose 58*o - 20 = t*o. Solve 4*k - n = 5, -5*k = -3*n - 2*n - o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*u + 262013 = 0, -160*h + 163*h - 393028 = u. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 bigger than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18538978 or -18538985?\nAnswer: -18538985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3165, 6336, 9517, 12714, 15933, 19180, 22461, 25782?\n\"Answer: h**3 - h**2 + 3167*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x - 2*x)*(-4*x + 4*x + 4*x**2)*(-2 + 3 + 1)*(-31 + 4 + 0)*(4*x**2 - 8*x**2 - 3*x**2).\nAnswer: 3024*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 5:31 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8276?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1903*o + 2488*o + 1413*o + 760*o + 2752*o to the form b + x*o and give x.\nAnswer: 5510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f + 23*f - 3*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 23?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/11250 and 9\/200.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2058)\/28*-2 - (1 + -2). Solve -14*m = 50 - b for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(198)\/sqrt(150) - 2*sqrt(4752))\/(sqrt(1331) + -2*(sqrt(1331) - -4*sqrt(1331) - sqrt(1331))))**2.\nAnswer: -5202\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7688 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1392 and 408?\nAnswer: 23664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 39, 80, 137, 216, 323?\n\"Answer: p**3 + 2*p**2 + 28*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {y: 1, h: 1, d: 1, a: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + g - 1. Let b(p) = 6*p**2 + 8*p + 38. Let u(k) = b(k) - 5*o(k). What is the tens digit of u(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 11833?\nAnswer: 47332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1749 and 231?\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Let h = y + -4.05. Let s = h + -0.95. Which is bigger: 0.3 or s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55011242 (base 6) in base 14?\nAnswer: 307990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 885 + -881. Solve k*j - 2*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9505 and -2.54.\nAnswer: -3.4905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.59 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-10))\/(-3)*-5. Suppose 2*y = 2*n + 6, 5*y - 15 = n - i*n. Solve n = -2*w + 5*h + 25, 5*w + 0*w + 5*h + 25 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + -101?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239113105.\nAnswer: 5, 7, 11, 167, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516227 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -253, -258, -263, -268, -273, -278?\n\"Answer: -5*x - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-28)\/8)\/(1\/(-28)). Is p > -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3768541411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2376 (base 11) in base 4?\nAnswer: 300210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19128 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84562744 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -4 - (93 - 84 - (-4 - 0))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 1)*((-21)\/9 + 3). Sort -1, -2, r, 1\/4 in decreasing order.\nAnswer: r, 1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + 115\/20. Let x be 15\/(-28) - w\/(-21). What is the closest to 0 in -6, 0.5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3832851820?\nAnswer: 2, 5, 7, 179, 152947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 970*f**2\/3 + 118096*f\/3 - 117128\/3.\nAnswer: 2*(f - 242)**2*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 2)*(2*o - 2 + 2) - 3*o + 2*o + 0*o)*(5*o - 6*o + 0*o)*(o**2 + 0*o**2 + 4*o**2).\nAnswer: -35*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -164, -184, -214, -254?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 79*v**2. Let n be a(1). Let w = n - 20. Does 59 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 13, 0.06, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -243*n**2 + 2*n - 2. Let p(q) = 484*q**2 - 5*q + 5. Determine -2*p(a) - 5*u(a).\nAnswer: 247*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2244 + 2264 + -14 + (0 - (-1 - 2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 969 + -8723\/9. What is the closest to v in -2, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.9 - 29. Which is smaller: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(28\/(-399)*1\/4). Let i be 3 + -6 + -3 - j. Calculate the highest common divisor of 51 and i.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 26*t**2 - 9*t**2 - t**3 - 6 - 16*t + 17 - 3. What is c(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15220102127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i = 15. Let p(m) = 2*m**2 + 5*m + 7. List the prime factors of p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-8 - 40\/(-10))\/((-12)\/(-15)). Let h(n) be the first derivative of -7*n**3\/3 - 7*n**2\/2 - 2. Let t(m) = 20*m**2 + 20*m. Give r*t(i) + 14*h(i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/744755 and 13\/597035.\nAnswer: 72241235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1, -0.06, -38, -2\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + s - 14. Let y be w(-6). What is the third derivative of -4*d**2 + 3*d**2 - y*d**5 + 15*d**5 wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 80945, 80947, 80949, 80951, 80953?\n\"Answer: 2*l + 80943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 2 - 4)*(-3*r**3 + 11 - 11) in the form p + o*r + a*r**3 + u*r**2 and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 226, 471, 716?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-54)*3\/4.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95578 or -95586?\nAnswer: -95578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73600 and -0.5?\nAnswer: -36800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 3, w: 1, v: 3, r: 2, f: 2}. What is prob of sequence pvl?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39 (base 16) to base 12.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7769, -15539, -23311, -31085, -38861, -46639, -54419?\n\"Answer: -b**2 - 7767*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 470*g + 464*g + 21 - 33 + 12 as z*g + t and give z.\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 131533405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 42 = -17. Suppose -w*h + 245 = -0*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 357 + -354. What is the second derivative of -62*x**s + 32*x**3 - 99*x - x wrt x?\nAnswer: -180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 200355001?\nAnswer: -200355020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a decade?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 18 = 4. Let g(l) be the third derivative of l**5\/15 + l**4\/24 + 5*l**3\/6 + 5*l**2. What is the smallest common multiple of 7 and g(p)?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 + 47*d + 47. Give b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 2*w**2 - w - 1. Let r be v(3). Suppose -3*f + 42 = r*z, 2*f + 3*z = -f + 42. Calculate the remainder when f is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-312)\/(-182))\/(6\/28). Solve -16*w + f + 8 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 11:17 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 6*x. Determine q(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -44*t**3 - 689936*t**2 - 2320244*t - 752496 = 0.\nAnswer: -15677, -3, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -2047*c**4 - c**3\/3 + 1890*c - 6790. Find the third derivative of r(v) wrt v.\nAnswer: -49128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 14*g - 2 + 1 to the form y + j*g and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2912781 equal to -2912781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 - p + 13. Let s(q) = 4*q**2 + q - 12. Give 5*n(b) + 6*s(b).\nAnswer: -b**2 + b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 6*x - 2. Let b = 76\/611 - 42\/47. Is x less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + -8*2\/4. Suppose -g - 75 = -v*g. Suppose c - 6*c = -g. Solve 0 = 4*o - 1 - c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 9. Let x be 34\/4 - 25\/(-50). Let h be n(x). Suppose -2*y + 2 = 3*q, 0*q + 2*q = h. Calculate the smallest common multiple of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + j + 25. List the prime factors of u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of d**5\/20 + d**4\/3 - d**3 - 3*d**2 + 205*d. Let x = -2 + -2. Calculate r(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by -4*(-637)\/104*(-36)\/(-21)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:25 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -649*i**2 - 143*i + 143. Let k be -5*(-91)\/(-105)*-33. Let o(s) = 27*s**2 + 6*s - 6. Calculate k*o(g) + 6*b(g).\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k**2 - k + 1. Let h(b) = -4*b**3 + b**2 - 3*b. Let a(z) = -2*c(z) + h(z). Let n(y) = -2*y**2 + 12*y - 2. Let i be n(6). Give a(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*11\/(-66)*1433802\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 5:05 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -43 (b) 0.1 (c) -40 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.104899 to 3 decimal places.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 13. Let p(q) = q - 4. Give 21*p(t) - 6*z(t).\nAnswer: -3*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2. Let m(n) = 17*n**2 - 11*n. Let k(x) = 9*x**2 - 6*x. Let r(d) = 11*k(d) - 6*m(d). Calculate h(r(a)).\nAnswer: 27*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -175398, -350801, -526218, -701655, -877118, -1052613, -1228146?\n\"Answer: -s**3 - s**2 - 175393*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*f - 37, -5*x - 3*f + f = 55. Let a(t) = -t**3 - 10*t**2 - 8*t + 10. Let s be a(x). Solve 3*c + s = y - 6, -4*y = 2*c + 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-2 + 7)) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooyoooooo. Give prob of picking 2 o.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -136, -144, -144, -130, -96, -36, 56?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from jvvvd.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 528.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -20543415.\nAnswer: -82173660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187580*v = 187581*v + 5*l + 66, -3*l - 48 = 2*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c + 9. Let r be b(-6). Let i = -3 - r. Is i*1\/(-3) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(1 - 4 - 1)*(-3*t**4 + 4*t**4 + 0*t**4).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -232 + 388. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/4 - 189*x**4\/4 + 383*x**3\/2 - 577*x**2\/2 + 771*x\/4 - 193\/4.\nAnswer: -(x - 1)**4*(x + 193)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 240\/55 + -8 + (-24)\/(-6)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 8:14 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5042935.29899 - -5043182.3. Let r = s + -247. What is r rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 6*h + 9. Let z be v(-7). Find the second derivative of 309*p**2 - 92*p - 358*p**z + 18*p - 2 wrt p.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -46, -201, -600, -1363, -2610, -4461, -7036?\n\"Answer: -20*r**3 - 2*r**2 - 9*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (4 - (6 - -3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 499 - 252 - 18*l - 247 in the form c*l + g and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 8:57 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49 - (24 + 8)) + -19.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 109?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -503, -1104, -1705, -2306?\n\"Answer: -601*h + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -291340, -291381, -291422, -291463?\n\"Answer: -41*a - 291299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -196997808 divided by 32832968\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1413*l**5 - l**4 - 95*l**3 - 4307191*l**2 wrt l.\nAnswer: -84780*l**2 - 24*l - 570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5. Let w be (-2 - -3)*19*g. Solve -n + w = -3*x + 2, -n + 4*x + 21 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -6 (c) -4 (d) 0.87 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 14*s + 304. Give c(16).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/16)\/15*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 h when four letters picked without replacement from {h: 4, a: 6, n: 4, d: 1, g: 5}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9)*84\/14)\/(-118)?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002847 rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 4)*(9 - 5 - b - 3*b) to l + w*b and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**2 - 2*u + 1. Let a be 6\/(-8) - (-27)\/4. Suppose -3*k + a = 3*z - 6, -2*z - 4*k = -14. What is the smallest common multiple of z and q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520038 to the power of 1\/2, to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -2*l**3\/3 - l**2\/2 + l. Let i be f(-1). Find the second derivative of i + 2*v - v - 3 - v**3 wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 61, 87, 113?\n\"Answer: 26*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -183349, -183452, -183629, -183886, -184229, -184664, -185197?\n\"Answer: -q**3 - 31*q**2 - 3*q - 183314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -11. Let h be (18\/(-5))\/((-4)\/o). Solve 4*b + 11 = -h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-1)\/sqrt(5))\/sqrt(10).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/24)\/((-335)\/(-60) + -5).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s**(1\/2)*s)\/s*s**(-3\/2)*(s\/((s**(2\/13)\/s)\/s))\/((s**(-5)\/s)\/s) assuming s is positive.\nAnswer: s**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d4e1 (base 16) to base 12.\nAnswer: -59569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x + 46*x + 88 = 0. Suppose -343 - 75 = -x*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -83. Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -a + 5*a. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16520, -16513, -16506?\n\"Answer: 7*y - 16527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 63*b**2 + 270*b.\nAnswer: 3*b*(b + 6)*(b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2173227890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-158)\/4 - ((-231)\/(-110) - (-182)\/(-70))) + -5\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4394308129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, y: 4, r: 2}. Give prob of sequence xxxx.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2 + 1\/2*g**2 - 2*g = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -177. Let o = f + -95. Suppose o*z + 119 = 3*l - 100, -3*l + 210 = -5*z. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8245605 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*j - 70, j + p - 6825 + 6844 = 0 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -25 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -16334*c + 81560. Calculate w(5).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 9*x**2 - 37*x + 16. Is k(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4*(-580)\/2480?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.167 + -21.3. Let y = g - 1.237. Let d = y + 1.370077. Round d to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -7. Is -2 + -1 + (v - 9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3599297 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbob when four letters picked without replacement from bbbbbbbbbbob?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 47 (c) -168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -749*c + 754*c - 154 = -29. Let n(s) be the first derivative of -s**5 - 20*s + 32 + 35\/4*s**4 - c*s**3 + 65\/2*s**2. Factor n(p).\nAnswer: -5*(p - 4)*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 8. Let p be h(3). What is the first derivative of 6*v**p - 25*v**2 + 38*v + 5 - 38*v wrt v?\nAnswer: -38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2170, -2173, -2176, -2179, -2182?\nAnswer: -2185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/5, -4\/293, -1?\nAnswer: -4\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2081859 smaller than -2081859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*a + 65*a = 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -0.3 (c) -2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**21\/m)**(-1\/3)*m**(1\/6)\/m**(-20) assuming m is positive.\nAnswer: m**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*f = -136*f - 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 100, 106?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -149588?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 15, 20, 5, -1 in decreasing order.\nAnswer: 20, 15, 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w - 3*w)*(23 + 16 - 78).\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 + g**2 + 3*g**2 + 432*g**3 + 762*g**3.\nAnswer: 1194*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.97 and 249.\nAnswer: -988.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, k: 6, f: 4}. Give prob of picking 4 k.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -194269\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 36, -5677138 in descending order.\nAnswer: 36, 1, -5677138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, 1 v, and 1 s when four letters picked without replacement from rsururrrvrvvs.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -266\/1035 + 4\/115. What is the closest to -2\/5 in r, 4, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*c**2 + 5*c - 1 + 3.\nAnswer: -9*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0*5\/70)\/(-3 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in -2\/19, 1\/2, 3\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.334628397 + -0.03572.\nAnswer: 0.298908397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336 (base 7) to base 4.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -9. What is the third smallest value in i, 1\/7, 2\/5, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/12)\/(3\/12). What is the biggest value in -1, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*5*(-15368)\/(-19210)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0*q**6 + 0*q**4 + 1\/3*q**3 + 0*q**2 + 1\/21*q**7 + 0 - 1\/5*q**5 - q. Determine m so that w(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3 and 8\/139.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 11}. What is prob of picking 3 e?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - x - 28700, 5*p + 73*x = 70*x + 35892. What are the prime factors of p?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -442*x + 5. Let p(s) = 1. What is c(n) - 3*p(n)?\nAnswer: -442*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (5 + -1) - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262937 is divided by 777?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 165511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Let o(q) = -q**2 + 5*q - 4. Let f be o(z). Let v = 3 - f. Let r(h) = -h**2 + h. Let x(y) = -y**2 + 2*y. What is v*x(p) - 2*r(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-360981)\/(-2755) + -131)\/(((-3)\/(-6))\/((-10)\/8))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944875 is divided by 18168.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-11)\/(-44)*-2. Let j be (2\/5)\/((-10)\/(-50)). Solve i + 8 = -2*c, h*i + 10 = -j*c + i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3187, 6370, 9551, 12730, 15907?\n\"Answer: -s**2 + 3186*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 457, 689, 923, 1159, 1397, 1637?\nAnswer: 1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + h)*(-1165*h - 1348*h + 653*h).\nAnswer: -1860*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-11)*q)*q\/(q*q**16\/q*q))\/(q**(-2\/13)\/(q\/(q\/q**(-1\/10)))) assuming q is positive.\nAnswer: q**(-643\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b**2 + 2*b**2 + 0*b**2)*(2*b**2 + 0*b + 0*b) - 4*b**4 + 3*b**4 + 3*b**4 + (-2 + 2 + 2*b)*(806*b**3 - 791*b**3 + 34*b - 14*b))*(0 + b + 0).\nAnswer: 36*b**5 + 40*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 + 6*a**2 - 21 + 17 + 0.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 25*s - 2. Let i(b) = -13*b + 1. Let h = -1523 + 1525. Give h*r(k) + 5*i(k).\nAnswer: -15*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/27478 and -127\/13047054.\nAnswer: 143517594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ininnininnnzn. What is prob of sequence iz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955127 is divided by 6162.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by (103 - 11) + (-2 - 2 - 2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 96229 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.5*4.24.\nAnswer: -91.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 127380 divided by -25476\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57938322.\nAnswer: 2, 3, 13, 191, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d + 2*d = 0. Suppose 2*z - 86 - 118 = d. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41.4, 11\/5, 0.326 in descending order.\nAnswer: 41.4, 11\/5, 0.326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15731993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 14*i + 9. Determine d(8).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10*r. Let l be 7\/((-2058)\/(-276)) + -3 + 2. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5488980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/5)\/(-4))\/((1197\/(-21))\/(-6555)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + -1 + sqrt(208) + 2)**2 + -4*(-1 + sqrt(832) + sqrt(832))**2 + -1).\nAnswer: -480*sqrt(13) + 39279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 45. Let a = z - -21.6. Let v = a - 1.8. Put -0.3, v, 0.3 in ascending order.\nAnswer: -0.3, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v**3 + 0*v + 9 - 5\/2*v**4 + 19\/2*v**2. What is the second derivative of i(s) wrt s?\nAnswer: -60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(1\/15)\/1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 710*c + 85560 = 756*c. Is 93 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.283462 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 3*v + 4*o, -2*o = -3*v + 3*o + 72. Let a(f) be the first derivative of v + 8*f - f**4 - 11 - 5. Differentiate a(u) with respect to u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 229*b**2 - 463*b**2 + 228*b**2. Let u(p) = -10*p**2 + 3. Calculate j(u(z)).\nAnswer: -600*z**4 + 360*z**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30936061 to the power of 1\/2, to the nearest integer?\nAnswer: 5562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lsuwyulwwluuwlyl. What is prob of picking 1 w, 1 s, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0*a - a - 208*a**2 - 213*a**2.\nAnswer: -421*a**2 - a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 5 (c) 0.1 (d) 1\/4 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 3, 7, -4 in descending order.\nAnswer: 7, 3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 1.5, -3, 0.2, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 50832?\nAnswer: 355824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 + 11 = 0. What are the prime factors of (d - -3*8) + -1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23850251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -0.146183955565.\nAnswer: -5.146183955565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*w - 267 + 8426 = 21*w for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000001100100101 (base 2) to base 7.\nAnswer: -2341102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s. Let o be (-92)\/(-20) + (-8)\/(80\/6). Suppose -g + 0*u + 17 = -o*u, -g + 2*u + 7 = 0. Determine z(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*j + 2*j + 3*j**2 - 17 + 72*j - 45*j to o*j**2 + c*j + x and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4096 - -3540. What is the second smallest value in -3, x, -5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6102 and 30.\nAnswer: 30510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 10*t**2 - 12*t + 29. Let w be m(9). Factor 26\/7*j**4 - 2\/7*j**w + 18\/7*j**3 + 0 + 10\/7*j**5 - 4\/7*j.\nAnswer: 2*j*(j + 1)**3*(5*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4044*p**2 + 4044*p**2 + 38*p**3.\nAnswer: 38*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/13 + 1572\/(-78). Is (-1212 + -1)*(-5)\/w*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 2. Let o(c) = -2*c - 37. Determine o(q) + 5*z(q).\nAnswer: 3*q - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 304044 and 3.4?\nAnswer: 1033749.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, c: 3}. What is prob of picking 3 c and 1 q?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 34*d = 36*d - 1, 3*o - 9 = 2*d for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139 + -138.2. What is the closest to -4 in -4, f, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.951532 + -12.9515365. Let l = d - -6. What is l rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330, 327, 322, 315?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-2))\/(4\/156). Suppose v = k + 2*k. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 7*w**3 + 5*w**3 + 18*w**3 + 3*w in the form g*w + f*w**3 + l + m*w**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/32*20\/(-24)*-3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a**5 + 160645*a**3 + 20445*a**2 - 146*a?\nAnswer: 420*a**2 + 963870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -2, 1.1, -0.3, 4, -4, -0.891?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 7 - 2. Let y = k - -9. Let g = 44 + -15. What is the remainder when g is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6558*q - 13053. What is s(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -5, 13\/4, -0.03?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2860 and 6292.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 56.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 + 4*b**2 - 3*b - 3*b**2 + 2*b**2 in the form q*b + l*b**2 + k and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (240\/18)\/(-10)*(-6)\/2956. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 761*a - 777*a + 747705 = -6879511. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 24*q**4 + 12927*q**3 + 1164186*q**2 - 162553737*q + 1219205064 = 0?\nAnswer: -307, 8, 539\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15026 (base 16) in base 4?\nAnswer: 111000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7*m = 756. Let x = 66 + m. Factor 0 - 4\/5*d**4 + 8\/5*d + 18\/5*d**x - 24\/5*d**2.\nAnswer: -2*d*(d - 2)**2*(2*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819893 is divided by 911.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f, -11*o + 7*o = -3*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261 = -24*t + 53*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - k + 21 = 0, 52*v - 51*v - 2*k = 13. Let m(a) = a**2 - 2*a - 5. Let n be m(4). Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94516014?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 - 5*u**4 - 6*u**5 + (u**2 + u**4 - u**2)*(-5 - 1 + 2)*(-1 + 1 - u).\nAnswer: -2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Suppose 0 = t + 2*t + 3*v + w, -5*t + 35 = -4*v. Suppose -7 = -7*o - 0*o. What is the highest common factor of t and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127943363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 1)*(3*s - s - 4*s) - s + 5*s - 5*s + s + s - 3*s + 2*s + 0 + 0 - 2*s - s + s - 100 + 238*s + 58 + 42 to t + n*s and give n.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3780477ml to litres.\nAnswer: 0.0003780477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -668 - 1724. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/31, -0.5, 10, -6, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0. Let y = 183.6 - 7.6. Let q = y + -178. Which is the nearest to r? (a) -4 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111100 (base 2) to base 3.\nAnswer: -20222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -32. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((2*sqrt(9))\/sqrt(3) - sqrt(3) - sqrt(3) - (0 + sqrt(6)\/sqrt(2)) - (1*sqrt(9)\/sqrt(3) - ((sqrt(12) + sqrt(3) - sqrt(3)) + 0))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/21, 2, 2\/3, -3, -5447, 1\/5, 3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1763 - -19555.\nAnswer: 17792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o**2 - 1)*(-2*o**3 - 12*o**3 - 23*o**3).\nAnswer: -37*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87788 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 - -216?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827063 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4*469\/1206*(-30)\/(-4)*-9\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -32. Suppose 0 = -f, 5*f + 10 = 5*u + n*f. Solve -k + u - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -l - 12. Let f(d) = -d**3 - 3*d**2 - 23*d - 243. Let q be f(-6). Solve o = -o - l*c + 19, 2*c = -q*o + 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**3 - 88*y**2 - 164*y + 128. What is g(-42)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from jfachff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16990 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4167 + -3411. Calculate the remainder when 1523 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/30)\/6*0. Let o = 5 + -3. Suppose 2*c + o*c + 16 = f. Which is bigger: c or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:47 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -0.15 (c) 9 (d) -3 (e) -0.01 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 0)\/(15\/50). Suppose -5*g + 0*g = -i. Suppose -2*s - 4*v + 21 = -5, 55 = g*s + 5*v. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 1.4. Let s = c + -2.8. What is the fourth biggest value in 3\/4, s, 0.2, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 5:49 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + q**2 + q + 2. Let l be t(-2). Suppose 0 = -2*j - 4*s + 34, 38*j - 33*j + 2*s - 37 = 0. Sort -2, l, j in ascending order.\nAnswer: l, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 4*p**2 + 5*p + 29. Let r(i) = -3*i**2 - 2*i - 12. Let w(t) = -5*r(t) - 2*v(t). What is w(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and -16.83742.\nAnswer: -2.83742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 505*h + 11. Let g(z) = -336*z - 7. Determine -5*d(k) - 8*g(k).\nAnswer: 163*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142944?\nAnswer: 2, 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 590\/(-60) + 20 + -9.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaj when three letters picked without replacement from {w: 1, a: 1, j: 1, y: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4521245, -4521242, -4521237, -4521230?\nAnswer: -4521221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 415\/45 - (306\/81)\/17. Let t(u) = 5*u + 7. Suppose -2*l + 4*k = 26, -l - 2*k = 1 - 0. Let s(c) = 4*c + 7. Let b(w) = l*s(w) + 6*t(w). What is b(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 617\/3 - 2471\/12. Let r = -115\/168 - -1\/56. What is the smallest value in r, -5, -1.5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 121176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 243906*l**2*s - 124*l*s + 1107883*s - 13 wrt l?\nAnswer: 487812*l*s - 124*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -13, -6, -10, 9 in decreasing order.\nAnswer: 9, -6, -10, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*v = -997*v - 40 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97040\/87 less than 1115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 * -18.02\nAnswer: -5.0456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*1 - sqrt(891)) + 0)**2*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**5 - 117*l**4 + 756*l**3 + 8736*l**2 - 12672*l - 52272 = 0?\nAnswer: -6, -2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 16 = -4*x - 3*n, 4*x + 15 = -5*n. Let r(h) = 40*h - 2842. Let g be r(71). Sort 4, 13, x, g in increasing order.\nAnswer: x, g, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-2)\/20). Suppose -2*o - 9 = -5*o - 3*k, -f*o + 5*k = 5. Suppose 6*u - 40 = u. Calculate the highest common factor of u and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 4, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -275 + 274.5. Let g = 3 + -2.8. Which is the nearest to 2? (a) 5 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*o**3 - 1783*o**2 + 1783*o**2 + (o**2 - o**2 + o**2)*(-o - 2*o + 2*o) - 3*o**3 - 2*o**3 + o**3 as k*o + z*o**3 + p*o**2 + n and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v + 3 = 0. Let w = -38585\/16 - -2408. Find the common denominator of v\/(-2)*515\/75 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163976*n**3 - 189835*n**2 wrt n.\nAnswer: -983856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:21 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g*q*v**2 + 9*g*q + 564*g*v**4 - g*v + 2*g + 2*q*v**3 + 2*q + 5*v wrt v.\nAnswer: 8*g*q + 6768*g*v**2 + 12*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2742436 - -40.\nAnswer: -2742396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i**3 + 0*i**5 - 3*i**2 + 0 - 1\/24*i**4 + 0*i + 1\/120*i**6. Find the second derivative of j(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 9*s**2 - 13*s**2 - 4*s**2.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38600 and 100360.\nAnswer: 501800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 - -19.4. Let u = -9 - k. Let p = -28 - u. Sort 3, -5, -1, p in descending order.\nAnswer: 3, p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 2*k + 3. Let g be l(2). Let a be (-1 + 1)*(-2)\/4. Solve a = g*i + i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*t - 149*t = -3*i + 38, -2*i + 165*t = 306 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*f - 288 = -99*f. What is the smallest common multiple of 30 and f?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**3 - 28*q**2 + 3. Let v(d) = -d**3 - 1. Give i(o) + 3*v(o).\nAnswer: o**3 - 28*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Let u = -7 + 6. Let v = u + 5. Solve -j*x = -x + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11066 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljmm when four letters picked without replacement from {l: 2, j: 3, m: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -9. Suppose h*r - 2*s + 0*s = 10, 2*r = -4*s - 20. Solve r*l = -l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 22*h + 21*h = 594. Solve -4*q = -h*q + 70 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -9 + -9 + 23?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13571329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 8333058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 798 and 2166.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*a - 320, 3*g = a - 9 + 479. Let d = g + -76. What is the greatest common divisor of 32 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9746.5 to the nearest one hundred.\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:08 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3648)*-2 + sqrt(2793)*6)\/((2*sqrt(60) + sqrt(15))\/((sqrt(20)\/sqrt(4) + sqrt(5))*4)).\nAnswer: 3 + 208*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l - 15*l = 10*l. Solve 5*m + 4*g - 40 = 0, -5*m = -g - l - 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1882, 3446, 5010, 6574?\n\"Answer: 1564*p + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 1299566*l + 28590460\/11.\nAnswer: -2*(l - 2)*(l + 7147615)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1051*a + 5941 + 28742 = 0 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s - 5*s - 2 - 12*s - 2 - s**2. Let t be a(-11). Let z(o) = o**2 + 16*o + 18. Calculate z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3574229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 361544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 9. Let d be f(-7). Let r(t) = -188 - 2*t + 7*t**d + t**3 + 185 + t. What is r(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 10:13 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140252?\nAnswer: 2, 7, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 12:22 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.7582 and 2.356.\nAnswer: 5.1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:13 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (351\/(-2106))\/(1\/1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 2 + 25*u + 4.\nAnswer: 25*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1866 = 2*x + 3*o - 1847, 2*x = 4*o - 12 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 189795, 3\/5, -41, -7?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84864 is divided by 84666.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 4 + 4)*(-91*n + 11552 + 79*n + 10*n + 3811) as a*n**2 + s*n + r and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -2*r - 0, -20 = -5*r - 3*c. What is the second derivative of 10*p - 43 + 41 + 8*p - 28*p**4 - 15*p**r wrt p?\nAnswer: -516*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - q + 12, -5*q + 13 = 3*r + 1. Let u(d) = 3*d + r*d - 6*d. Let w(c) be the second derivative of -c**3\/3 - 2*c. Give u(w(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121001868013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.97 - 0.03. Let y be (-105)\/154 + (-1 - (-12)\/8). Sort y, -2, l, 2 in decreasing order.\nAnswer: 2, y, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven eighths of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -168, -306, -446, -588, -732, -878?\n\"Answer: -l**2 - 135*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20804651 or -20804658?\nAnswer: -20804651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 119759838 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 498343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34801, -58661, -82521?\n\"Answer: -23860*p - 10941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5125*w**3 - 636 wrt w?\nAnswer: -15375*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.01 - 0.01. Sort -0.1, a, -0.3.\nAnswer: -0.3, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3504.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 65 = 3*z. Suppose -3 + 11 = -4*w. Let s be -3 - (-4 + z) - (-6)\/w. Solve 0 = s*i - 20 + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7256745*i. Let x(q) = 3*q**2. Calculate x(c(g)).\nAnswer: 157981043985075*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2203402 and 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/73?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-707)\/14 + (4 - (-3)\/2) - -13?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (sqrt(156)\/sqrt(3) - sqrt(52))) + sqrt(13) - sqrt(65)\/(sqrt(45) + sqrt(5) - sqrt(5) - sqrt(5)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 756588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 81237729 to the power of 1\/2, to the nearest integer?\nAnswer: 9013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m**5 + 0*m**6 + 0*m**4 + 0 + 0*m - m**2 - 1\/70*m**7 - 1\/6*m**3. What is the first derivative of j(b) wrt b?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.99 - -0.01. Let g be ((-30)\/36)\/(15\/(-12)). Let x = -4.02 - -0.02. Which is the closest to -0.2? (a) x (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/20)\/((-5)\/(-75)). Let q be t + (27 + -2)\/(-5). Suppose q*f + 16 = 0, 570 = 5*k + 3*f + 92. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*k**2 + 342\/11*k - 29241\/11.\nAnswer: -(k - 171)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -47*i + 34 + 243. Which is the closest to 1? (a) 4 (b) 1 (c) i (d) 8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18\/37 (b) -0.94 (c) 12 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p**3 - 30*p + 196*p + 69*p**3 + 23*p**3.\nAnswer: 118*p**3 + 166*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a - 2*a + 5*a + 5*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 6*f**2 - 4*f - 7. Let i be p(5). Let q be (-32)\/(-12)*(i - 4). Are q and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1360, -10, 14 in descending order.\nAnswer: 1360, 14, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 2:14 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -23*d. Let u(s) = -9*s. Determine u(o(k)).\nAnswer: 207*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0442349 months to years.\nAnswer: 0.087019575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 151 - 42)*(-g**2 - g**2 + g**2 - 5*g**2 - 2*g**2 + 3*g**2 + (g - g + 2*g)*(2*g - 4*g + 3*g)) as v + c*g**2 + n*g and give c.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 6810.62331.\nAnswer: -6808.62331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 931.97 weeks?\nAnswer: 563655456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 2. Give h(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*n - 214 = -2*y, 5*n + 254 = 2*y. Let v(j) = -j + 20. Let f be v(7). What is the greatest common divisor of f and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 54 - 108 - 53*w - 3*w**2 + w**2.\nAnswer: -2*w**2 - 53*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11733783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 - -11221200?\nAnswer: 11222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1798520*v**3 - 1690037*v**2?\nAnswer: -10791120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2732*p - 30089. Calculate v(11).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 17*m + 15. Let t(x) = -35*x - 30. Let i(h) = 3*t(h) + 5*y(h). Let i(s) = 0. Calculate s.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.9352878 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102945 and 7680.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 1452.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 5 (c) 6\/7 (d) 6\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - 135 + 135 + 5*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 4*g + 8, 6*g = f + 15535 - 15543 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3470895 or 142?\nAnswer: 3470895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -26*g + 607. Calculate t(24).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1708644 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 12 = -17*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 + 2*p + 2. Let g(q) = 15*q**2 - 8*q - 7. Let z(v) = -7*d(v) - 2*g(v). Let j(k) = -24*k**2 - 11*k. What is 2*j(y) + 11*z(y)?\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 - 6*d + 5. Let w(o) = 2*o**2 + o - 4. Let n be w(3). Let x(y) = 14*y**2 + 17*y - 14. Calculate n*h(j) + 6*x(j).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-16)*n)**34*((n\/n**(-41))\/n*n*n)\/(n\/n**14) assuming n is positive.\nAnswer: n**(-454)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -12. Let k = -14 - u. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 294000 = -6*v. Round v to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - y - 231, -5*b + 6*y - 247 = 3*y. Let m = b + 21. Let w be 56\/26 + 4\/m. Solve 0 = 4*z - w*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z**3 - 5231*z**2 + 22573*z - 5316 = 0. Calculate z.\nAnswer: -1329\/5, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 0, -2*p - 3 + 7 = -5*i. Suppose 7*x + 4*k = p*x - 21, -4*x + k = 0. Put x, -4, 6 in descending order.\nAnswer: 6, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**4\/12 - 4*f**3\/3 + 3*f**2 + 4*f + 5. Let k(i) be the first derivative of w(i). What is the units digit of k(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -34647045.\nAnswer: -1\/6929409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - s**3 - 6*s**2 + 5 - 7*s**2 + 10*s**2 - 2*s**4 - 17*s**3 - 9*s to z + y*s**4 + v*s**2 + w*s**3 + a*s and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7 - 51 + 8*r + r**2 + 9 + 16 + 9. Let a be p(-8). Let h(d) = -4*d**3 + 10*d + 10. Let m(v) = -v**3 + 3*v + 3. Give a*m(j) + 3*h(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2. Let a(k) = k**2 + 2*k. Let b = 2 + 9. Let q(y) = 6*y**2 + 11*y. Let v(o) = b*a(o) - 2*q(o). Determine i(v(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 2*h**2 + 3*h. Let f(n) be the third derivative of -9*n**5\/5 - 6499*n**2. Calculate o(f(p)).\nAnswer: 23328*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 0*d + 129*d**3 - 263*d**3.\nAnswer: -134*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.113?\nAnswer: -0.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 - 3*q + 2. Let v = -10 - -14. Let x(h) = 6 + 8*h**2 + 3 - 6*h - v. Let j(r) = -5*w(r) + 2*x(r). What is the second derivative of j(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1, -0.41.\nAnswer: -1, -0.41, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, -928\/9, -0.2, -5, -1\/3, 28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 203302?\nAnswer: -203253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 - 11*t. Let a(y) = 39*y. Calculate m(a(i)).\nAnswer: -7605*i**2 - 429*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 10023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(18\/1485). Let l(p) = 3*p**2 - 28*p + 49. Let b(z) = 80*z**2 - 755*z + 1325. Let v(w) = i*l(w) + 2*b(w). Factor v(y).\nAnswer: -5*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(250) + -2*sqrt(250)*-3)*3)\/(-2*(4*(sqrt(200)\/sqrt(4) + sqrt(50)))\/sqrt(10)).\nAnswer: -105*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 6:01 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -143*j + 819. Let k be b(-40). Calculate the greatest common factor of 104 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*k**2 - 4*k - 107*k**2 + 196*k**2 - k**2 + 197*k**2.\nAnswer: 422*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwmkwokwwr. What is prob of sequence kwr?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*w**2 - b**3*w - 75*b**3 + 88*b**2*w**2 - 8*b**2 - 2*b wrt b.\nAnswer: -6*w**2 - 6*w - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**3 + 177*w**2 - 134*w - 66. What is z(-45)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - 3. Let f = 10 + a. Do 0 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 0*i + 2 + 1\/2*i**2 + 2\/3*i**3. What is the second derivative of w(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 - 0.07. Let q = -0.34 - p. Let k = q - -0.1399976. Round k to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3422*f**2 + 102*f**3 - 7*f - 3388*f**2 + 6810*f**2.\nAnswer: 102*f**3 - 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 122363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/((n**(-11)\/n*n*n*n)\/n))**(28\/3) assuming n is positive.\nAnswer: n**(448\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 7*r**2 - 3*r + 56. Suppose -19 - 29 = -16*m. Let q(s) = 8*s**2 - 4*s + 58. Let k(o) = m*q(o) - 4*v(o). Differentiate k(b) with respect to b.\nAnswer: -12*b**2 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1207 and 781.\nAnswer: 13277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*c + 1380 = 67432. Solve 341*d + 4 = c*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1170)\/(-21))\/15)\/(((-45)\/105)\/3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 16 + -28 + -2 + -10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8602 + -8b2?\nAnswer: -91b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 60 in -0.2164, -2, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2*j**5\/5 - 13*j**4 + 18*j**3 - 378. Factor f(w).\nAnswer: -2*w**2*(w - 1)*(w + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 + 10*a**2 + a + 4. Let u be q(-2). Solve 13*w = -u*w + 10*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9183821, -18367643, -27551465, -36735287?\n\"Answer: -9183822*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:09 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 3*l**3 - 11 + 124*l - 128*l + 2*l**2. Calculate the remainder when g(3) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j**2 + 0*j**4 - 9\/5*j**5 + 0*j + 4*j**3 - 1\/2*j**6 - 53. Let s(m) = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 696*d**2 + 21*d - 2 + 700*d**2 + 3*d**3 - 1397*d**2 as b*d**2 + s*d**3 + o*d + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -3, 38, -7, -1\/5 in descending order.\nAnswer: 38, -1\/5, -3\/4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g - 42*g - 4 = 0, -3*g = -2*s - 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t - 43\/30*t**5 + 0*t**6 + 83\/336*t**8 + 5*t**2 + 1\/6*t**3 + 0*t**7 + 0*t**4 - 4. Find the third derivative of l(m) wrt m.\nAnswer: 4980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 28 - (-3 + (-1 - -4 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 862, 5?\nAnswer: 862","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, u: 2, k: 15}. Give prob of sequence kb.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -3*o + 472. Let k = o - 65. Suppose 4*m = 2*s - 1 - 39, k = 2*s - 5*m. Calculate the remainder when 44 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 35*p + 70. Let r be f(-2). Suppose -13 - 2 = -5*v. Let j(z) = z + 28. Let n be j(-8). Solve -2*m = v*x - 0*m - 20, n = x + r*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**5\/5 + 8*m**4\/5 + 36*m**3\/5 - 128*m**2\/5 - 34*m\/5 + 24 = 0. What is m?\nAnswer: -4, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2)**(-2\/23)\/(o**(-1\/2))**(1\/14))**27 assuming o is positive.\nAnswer: o**(-2403\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a factor of 91819046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 2 y when four letters picked without replacement from wyynywywy?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 557, 1, -4, -11.\nAnswer: -11, -4, -2\/11, 1, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-5) - 2\/(-5). Suppose u*l - 119 = -2*l + h, l + 4*h = 34. What is the greatest common factor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-4)*(-19 + 11). Let f be 9\/1*4\/6. Calculate the greatest common divisor of x and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 16*p - 10. Let f be v(-15). Suppose -351 = -4*q + r, f*q = r + r + 435. List the prime factors of q.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.0662728.\nAnswer: 0.0331364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 103116472.2ns?\nAnswer: 0.0000001704968125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4829179388?\nAnswer: 2, 11, 311, 352907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*s = 78*s - 52*s + 325 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/((sqrt(360)\/sqrt(6))\/sqrt(6)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (sqrt(1216) - 2*-1*sqrt(1216))**2)*-1*-6.\nAnswer: 48*sqrt(19) + 65664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 + 10)\/(-2 + 5). What is the closest to -3\/40 in -2, 0.2, -3\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53894 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(44) + 4 - (-4 + sqrt(44)\/(sqrt(4)*-2))))**2.\nAnswer: 55*sqrt(11) + 759\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(2 + 1 - 2)*(0*i**3 - 2*i**3 + 3*i**3).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-13 + 15 - 0)) + (-4 - -36)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -3. Let t be (-1)\/f*(3 + -5). Let g(p) = -p**3 + 3*p**2 + p - 4. Let b be g(3). Is t less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*v - 5 = 0, g = 4*v + 95. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(7) + 3 + sqrt(1008))*3 + -3*(sqrt(252) - (sqrt(252)*3 + sqrt(252) - sqrt(252) - sqrt(252))) + 3)**2.\nAnswer: 1368*sqrt(7) + 22882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**6\/240 + z**5\/80 + 5*z**4\/96 + 4*z**2 - 1. Find i, given that a(i) = 0.\nAnswer: -1, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oawnyea. Give prob of sequence yw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.113, -3\/5, 15, -3\/4, 0.5, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 3\/4 (c) -5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3))**(22\/5)\/((u\/(u*u*u**(1\/3)*u*u*u)*u*u)\/u*u**(2\/13)) assuming u is positive.\nAnswer: u**(334\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 2*b**4 + 2*b**3)*(-30*b + 6 - 9*b - 5).\nAnswer: -78*b**5 + 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/((-1)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnxuntutttkxw. What is prob of picking 3 n?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23845926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -17*u**2 - 55*u - 128. Let d(a) = 4*a**2 + 14*a + 32. Let i(j) = 9*d(j) + 2*z(j). Factor i(c).\nAnswer: 2*(c + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qquqyqyyqqytyyytquq. Give prob of sequence tyu.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-28)\/(-12) + -2)*294\/14. Calculate the greatest common factor of j and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 1 + 12*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 - 5*n - 23 + 41 - 22 in the form s*n**2 + l + t*n and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n - 8. Let k(z) = -2*z**2 + 2*z + 6. Let f be 4\/18*-1 - (-4)\/18. Let c be k(f). Determine r(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) -2\/7 (c) 2036 (d) 1\/4 (e) -6 (f) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1264\/(-12) + -1)\/((-2)\/(-6)). Let z = 1226 + u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552818115?\nAnswer: 3, 5, 223, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8 = -4*n, -5*n - 48 = -4*i - 7. Put -5, i, 5 in increasing order.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 5454?\nAnswer: -5444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) - (-2)\/36*86. Let y = -1 - -2. Let g = w - y. Solve -q = g*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 126\/(-138) - 2\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-3\/8))\/k*(k*k\/k**(-1\/10)*k)\/k)**(25\/3)\/((k**(-2\/3))**(-25))**(-28) assuming k is positive.\nAnswer: k**(11695\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 359 - 1. What is the least common multiple of l and 42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*2\/(-34))\/(85 + -86). What is the closest to g in 4, 4\/5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-8\/11)\/((h*h*h**(2\/5)*h)\/(h\/(h**0*h))))\/((h\/(h*h**0))**(14\/13)\/(h**5\/h*h\/h**1)) assuming h is positive.\nAnswer: h**(73\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-2) + (5\/15)\/((-8)\/264).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2310 + -2?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -1 - 6 - 1) + 2 + 13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from {f: 1, o: 2, m: 1, j: 2, l: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 321771276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8)*y*y\/y**12)\/(y**5\/y**(-3)))**(-15) assuming y is positive.\nAnswer: y**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**3\/3 - 3*q**2\/2 + 3*q. Let m be v(3). Let j = -2 + 5. Solve 4*l - 5*i + 11 = 0, 4*l + j = -m*i - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -360 and 799?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17, 54, 119, 224, 381?\n\"Answer: 2*d**3 + 2*d**2 + 17*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 5051.\nAnswer: -7\/5051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44620)\/(-184))\/97*(-4)\/425?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1666\/3 (b) 1 (c) -4\/3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4706 - 87 = 3*c, 0 = u - 3*c + 2308. Let w = 3304 + u. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10717 > 10806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**3 + 6*f + 9. Let z(g) = -g - 1. Give h(n) + 6*z(n).\nAnswer: 6*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 175016*w - 175210. Determine a(1).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -404 in decreasing order.\nAnswer: 8, 2, -404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872098 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h. Suppose -z - 2*u - 4 = h, -2*z = -3*u - 2*u - 1. Suppose 2*k + 13 = 5*r, -7*r + 15 = -2*r. What is the nearest to 1 in z, k, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r + 7 - 7)*(182 - 209 + 514).\nAnswer: 5844*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 114.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-217 + 97 + 54)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09849 rounded to three decimal places?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p - 7 = -22*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818 rounded to the nearest 10?\nAnswer: -1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 163*z - 786. Let r be b(5). What is the second biggest value in -4, -156, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2410*i**3 + i**2 + 2*i - 849.\nAnswer: -14460*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, l: 8}. Give prob of picking 1 l and 1 s.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*n - 4, 0 = 5*p - 0*n - n + 26. Let l be (-6)\/4*p\/(-9) + 6. What is the common denominator of 44\/9 and 59*l\/(-10)*(-4)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255624 and 3?\nAnswer: 255624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*j - 302*j = -102*j - 105*j - 144 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 317*t**7\/15 + 4025*t**3\/6 - t**2 + 463*t. Differentiate u(y) with respect to y.\nAnswer: 17752*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3492.19 tonnes?\nAnswer: 3492190000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.005 - 25.995. Let q = b + 43. Let k = 16.99991 - q. What is k rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/80414 and 3\/20752.\nAnswer: 643312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) 50361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190776208?\nAnswer: 2, 7, 43, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 318881 bigger than 318884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 435 and 270?\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/11)*k**(-1\/8))**(-4\/17)\/(k**(-9)\/k**(-2\/7))**40 assuming k is positive.\nAnswer: k**(912749\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74 in 4, 2\/7, 1\/8, 0.024, 45?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 0*u - 3*u + 8*u + 6 + 7*u. Let a be g(8). Let o = a - 50. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 618610.7nm to kilometers.\nAnswer: 0.0000006186107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-573)\/(-27) - (-4)\/(-18). Let a = o + -5. Let d = a + -6. Calculate the smallest common multiple of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2, -3*i + 9 = -b - 1. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 16. What is the remainder when 18\/45 - (6\/4 - (-5328)\/(-480)) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 37, 78, 139?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10266\/236*16\/6. Suppose -w - 3*w = 3*n + 88, -5*n = -3*w - 95. Let i = 4 - w. What is the highest common factor of r and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*r + 1648212 = 202*r. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/4)\/t)\/t**(-7))**(-19\/2) assuming t is positive.\nAnswer: t**(-513\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660 and 46266.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(20)\/sqrt(4) + sqrt(5)))**2 + (-3 + sqrt(20))**2.\nAnswer: -12*sqrt(5) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 6*t**2 - t - 7. Let p be i(-3). Does 31 divide p + (-2 + 1)*-390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3406966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 10:27 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 0, -5, 45.3 in descending order.\nAnswer: 45.3, 0, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*x**3 + 0 - 30*x**2 + 0*x = 0. Calculate x.\nAnswer: -45, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1257*h = 1253*h + 12, -14 = g - 5*h - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.12291 - 0.12291. Which is the fifth biggest value? (a) w (b) 0.3 (c) -32\/7 (d) 1\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 396257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from {i: 2, w: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1659 = 5*h + 109. Suppose 2*x - 5*x = -6. Let w(v) = -v + 313 - h + x*v. Let b(s) = 2*s + 9. Determine 3*b(m) - 8*w(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - 3 - (-80 + 91 + -50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194 and 2813?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (5 - 14)) + (-6)\/2. Let c be (-30)\/(-4)*104\/65. Solve 4*t - c = d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1799768 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144816 and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**3 + l - 1. Let t(q) = 9 - 18 - q + 11. Let g be t(4). List the prime factors of w(g).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in 0, 2, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 22240 = 5*x, -8*x = -x + 2*k - 31154. Calculate the highest common divisor of 84 and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*c + 281*c + 5677 + 11898 = -106*c for c.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.09553mm in kilometers?\nAnswer: 0.00001709553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffb when three letters picked without replacement from {f: 6, b: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(70)\/(sqrt(10)*2).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*m + 502, -m = -4*m - c + 517. Let v = m - 174. Solve -2*r - 4*t + 16 = v, 2*r - 19 = -0*r - 5*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(540) + -1*sqrt(540) + sqrt(15)))\/((1*sqrt(2916))\/sqrt(12)).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1832 and 4416494?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 239614 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + 9 + -14\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -2\/7 (b) -0.03 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 221544 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7417186 - -0.04\nAnswer: -7417185.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 318da (base 15) in base 11?\nAnswer: a816a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1588657 and 19935083?\nAnswer: 617987573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**3 + 8*n**2 - 8*n**2 - 30*n + 30*n.\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -121, 6 in ascending order.\nAnswer: -121, -8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-428 + 761 + 1212 + 207 + 768)*(1 - 1 - 2*k).\nAnswer: -5040*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(72)\/(sqrt(9)*-1)) + (sqrt(21)*1)\/sqrt(7)*-4 + -4)**2.\nAnswer: 40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 66, 123, 208, 327, 486, 691, 948?\nAnswer: 1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68425?\nAnswer: 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -43*r**2 - 2*r. Let y(d) = -2106*d**2 - 99*d. Calculate -297*a(n) + 6*y(n).\nAnswer: 135*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7371, 29397, 66095, 117459, 183483, 264161?\n\"Answer: -n**3 + 7342*n**2 + 7*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 - 153652*g\/7 - 2951117138\/7.\nAnswer: -2*(g + 38413)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - (-51)\/(-15). Let b be (0 - (1 - 1))\/1. Let h = -3 + b. Is w bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 4 (c) 0.1 (d) 1382 (e) -124 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8997976415 - -0.8998. What is j rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t**3 - 268462*t**2 + 1298974074*t - 114564612042 = 0. What is t?\nAnswer: 629\/7, 9543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 25. Find g such that -3\/5*g**q - 3*g + 3\/5 - 6*g**3 + 3*g**4 + 6*g**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2287506 and 53742.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2. Let t(v) = v**2 + 37*v. Calculate t(f(s)).\nAnswer: 9*s**4 + 111*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(8 + 69)*-3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s. Let x(u) = -20956*u. What is x(k(n))?\nAnswer: 167648*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(sqrt(9)*-3) - (sqrt(315) + sqrt(315) + sqrt(315)*-3))\/(4*(sqrt(1008) + -2*sqrt(1008))*3).\nAnswer: -sqrt(5)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - -3*(1 + sqrt(1539))) + 5 - (4*sqrt(133)\/(sqrt(7)*1) + -2)**2.\nAnswer: -300 + 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 50.3. Round g to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/28794028 and 7\/108.\nAnswer: 777438756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*b + 3*b + 11, 0 = 2*b - 4*o - 10. Let n be b - -9 - (6 - 3). Suppose -3*w + 54 = n*a, -6*a + 2*a + 38 = 2*w. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 881, -1\/713, -5, 4, -0.3, 0.1?\nAnswer: -1\/713","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -29 (b) 116 (c) -2 (d) 1\/6 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2*(-9)\/6. Let k be 4*(-2 - 2\/4). Let i = k - -14. Solve 4*b + 2*p + j*p = -16, -12 = 4*b + i*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*q + 8*q. Calculate the lowest common multiple of 2\/(-8) + 34\/8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 17*u + 17. Calculate the remainder when h(-17) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by 28\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 61*v - 63*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7475 - -15275. Does 20 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3499*d + 6695*d + 1793*d + (2 + 3 - 7)*(-7*d + 3*d + 2*d).\nAnswer: 11991*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 7 = -3*l. Solve 7*x + l*x + 2 + x + 34*x**2 + 21*x**3 = 0.\nAnswer: -1, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/(-16) + (503 - 3))*(-3)\/(-36). Is 0.1 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x + 6. Let w be q(-3). Let n = -67\/4 + w. Suppose 3*m + 0*m - 3 = 0. Which is bigger: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 1. Let s = -2.9 - 0.1. Which is the closest to s? (a) 4\/5 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12540*g - 3*l + 9 = -12545*g, -52*g + l - 3 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 189, 955, 2233, 4023, 6325, 9139?\n\"Answer: 256*p**2 - 2*p - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from yllelllleleyeel.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-380))\/(64\/(-3648))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4856, 9719, 14582, 19445?\nAnswer: 24308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3 = a - 2, -141*q = 122*q + 5*a + 478 - 2567 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530364 is divided by 430?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/128*((-7)\/((-105)\/10) + -2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5930 (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 475*p - 964. Let z(f) = 7120*f - 14460. Let u(s) = -88*l(s) + 6*z(s). Differentiate u(r) with respect to r.\nAnswer: 920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 - 116. Which is the biggest value? (a) 0.4 (b) z (c) -3\/2 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(65)\/sqrt(5)*-2 - sqrt(13)) + -3*sqrt(1300))**2 + (0 + (sqrt(208)*2 - sqrt(208)))**2*5 + -4.\nAnswer: 11228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmgmmmbbmggggagegme. What is prob of sequence mal?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 - 6483*w**2\/5 + 32322*w\/5 + 38808\/5.\nAnswer: 3*(w - 2156)*(w - 6)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z**2 + z - 2. Let n be 10\/(-4)*28\/(-35). Let i(s) = -3*s**2 - s + 1. Determine n*k(t) + 5*i(t).\nAnswer: -3*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 8*y**2 + 15*y - 13. Let k be d(10). Let g be (k\/28)\/((-3)\/8). Suppose 3*o + 0 - 9 = 0. Solve -4*i - 3*a + 8 = 0, 0*i - 3*a + g = o*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2302, -4, 0.3, 2\/3, 0.1, 2 in increasing order.\nAnswer: -2302, -4, 0.1, 0.3, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*19)\/(13\/65). Suppose g + 180 = 5*r. What is the remainder when r is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5*h = -2 + 12, 0 = 3*n - h - 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 6*d. Suppose 0 = -58*k + 64*k + 18. Sort k, d, 2, 5 in decreasing order.\nAnswer: 5, 2, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 3*l + 5. Let n be g(-6). Let r be 6560\/15 + 4\/6. Let j = n + r. Calculate the greatest common factor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 6*z + 18 = 0. Let x = 7031 + -7087. Let o = 5 - 6. What is the smallest value in x, o, -5, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 48908356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 88\/14 + (-65)\/(-91). Solve -13*w = -6 - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9450*4613 + 2\/50 - -3.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:55 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 226364 - 3*p - 226364 - 3*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4)*16\/(-2). Suppose -14 = -3*w + 5*y, -5*w + 0*y = 4*y - 11. What is the second derivative of -3*a**4 - w*a - a + x*a - 3*a wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((48\/32)\/((-3)\/4))\/((-888)\/(-28416))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/636457, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 y, and 1 t when three letters picked without replacement from tttyb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12133160 (base 7) to base 13\nAnswer: -2bc505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17319?\nAnswer: 3, 23, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 - 25*b**3 + 15*b**3 + 7*b**3 - 3 + 4*b in the form j*b**3 + y + t*b**2 + g*b and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 13 = -35. Suppose 0 = -l + 27*l - 104. Solve 4*i + 4*g + 4 = 0, -2*i + 10 = -l*g - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -19. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -3129, -10791, -25709, -50301, -86985, -138179, -206301?\nAnswer: -293769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*a = 2*a + 25, 26 = 4*p - 2*a. What is the lowest common multiple of p and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*n**2 - n - 49*n**2 + 13*n**2.\nAnswer: -9*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(57)*4 + sqrt(57) + (4*sqrt(228) + sqrt(228))\/sqrt(4))\/(sqrt(9)\/sqrt(27) - (sqrt(3) - sqrt(75)*-4)).\nAnswer: 9*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1757 and 721.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -20. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3)*-2*-3 + sqrt(189)\/sqrt(7)))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4963*-0.2\nAnswer: -992.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 339527522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-1 + sqrt(1539))*-3*-4*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in centimeters?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102220 (base 3) to base 12.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.3758 + -186.4488. Let w = q - -178. Which is bigger: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**2*k**2 + 4633*h**2*q**3 - 22*k**2 - 214*k*q**3 + 9*q**3 wrt k.\nAnswer: 6*h**2*k - 44*k - 214*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y**2 + 3*y**2 + 247*y - 238*y + (-1 - y + 1)*(3 + y - 3) in the form t*y**2 + j*y + c and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-3)\/(-12)*-5. Let a(i) = -2*i + 4. Let g be a(4). Put h, 3, g in descending order.\nAnswer: h, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + v + 4*v**3 + 1 - 4*v**3 - v**3. Let j be 32\/(-18) - 4\/18. Let c(q) = 2*q**3 - 13*q - 11. Let g(x) = j*c(x) - 22*f(x). Factor g(s).\nAnswer: 2*s*(s - 1)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 16) to base 11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14706, 58889, 132522, 235605, 368138?\n\"Answer: 14725*n**2 + 8*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0306808 and -3.\nAnswer: -0.0920424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7983 - -402?\nAnswer: -7581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5444\/329 equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28926 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: Simplify (-4*(-3 + ((2 + sqrt(245) + 1)*-5 - ((sqrt(245) - (-1 + (sqrt(245) - (sqrt(245) + 1)))) + 2*(-1 + sqrt(245)))) + 1))**2.\nAnswer: 30464*sqrt(5) + 255504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402320 is divided by 200341?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 2)*(-1 + 4 - 4 + (-2 + 0 + 0)*(-5 + 4 + 0) - 6 - 1 - 3)*(-3 + 2*i + 11 + 0) in the form c*i + y and give y.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a - 4. Suppose -13*g + 80 = -5*g. Let w be b(g). What is the highest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {c: 2, p: 3, s: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 134, 250, 366, 482?\n\"Answer: 116*k + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/32733 and -12\/25459?\nAnswer: 229131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3745825, 14982857, 33711243, 59930983, 93642077?\nAnswer: 134844525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 35 (c) -6 (d) -1 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 47*j + 1502. Calculate s(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 5*j - 619 + 577, 18 = 3*o + 3*j for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 0 + 1 = -3*s, -2 = -h + 2*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 2, j: 1}. What is prob of picking 2 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -13*a - 8. Let x be a\/(-3) - (-32)\/(-48). Suppose 5*f + x = 5. Solve 3*z = -5*v - 10, -2*v - 3 = 2*z + f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(896)\/sqrt(8) + (sqrt(7) - (sqrt(7) + -1 + sqrt(7) + -1)) + 2.\nAnswer: 4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.035884167 to five decimal places.\nAnswer: -0.03588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 - 2*i + 5*i**5 - i**5 - 6*i**5)*(-1 - 3 + 0).\nAnswer: 8*i**5 + 12*i**3 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 28.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(306)*3 + sqrt(34)))\/(-1*(sqrt(128) - -2*sqrt(128))))**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 0.10938\nAnswer: 0.0032814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 1455?\nAnswer: -1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0153 and -0.0381.\nAnswer: -0.00058293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*7*(-16)\/56. Let j(i) be the first derivative of 0*i + 1\/10*i**5 - 1\/2*i**4 + 8 + 5\/6*i**3 - 1\/2*i**g. Factor j(x).\nAnswer: x*(x - 2)*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 81*n + 1174. What is the remainder when m(14) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18567250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.351 plus -7?\nAnswer: -6.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 8. Let p = -11 + y. Let r = 481 + -3365\/7. Is p at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -23ad + -13?\nAnswer: -23c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1085 + 215*t - t**2 - 458*t + 243*t to i + o*t**2 + v*t and give i.\nAnswer: 1085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21931.\nAnswer: 7, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.073 - 0.527. What is the nearest to 0.1 in r, -0.5, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0*x - x + 1 + (5*x - 6*x + 3*x)*(-3 - 5 + 2) + x + x + 0*x)*(12*x**3 - 4*x**3 + x**3) in the form m*x + k + q*x**2 + w*x**3 + p*x**4 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -979, 2 in decreasing order.\nAnswer: 2, -5, -979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49089776.\nAnswer: 2, 3068111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(76) - (sqrt(76) - (sqrt(76) + 1 + sqrt(76) + -3)**2)) + ((sqrt(95) - (sqrt(95)*4 + sqrt(95)))\/sqrt(5) - (sqrt(57)\/(sqrt(18)\/sqrt(6)))**2).\nAnswer: -20*sqrt(19) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 10886*u = 10879*u + 62, -40 = c - 6*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*d = 2*o - 32, 2*o = 0. What is the remainder when 66 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2691765884 rounded to three decimal places?\nAnswer: 0.269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a - 3*l + 3, 4*a - 2*l - 6 = 0. Suppose 0 = 2*d - 3*o - 5, -8*d = -7*d + 4*o - 30. Suppose -d*i = -a*i - 528. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 7, k: 8, u: 3}. Give prob of sequence uq.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a7e22 + 5?\nAnswer: -4a7e1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204 - 120. Let w = 165\/2 - i. Let t = -476 - -475. Which is the closest to 1? (a) t (b) w (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-36)\/21)\/((-4)\/14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 18 = 3*u - 5*j, 3*j + 83 = 4*u. Suppose 3*y + i - 74 = 6*i, -50 = -3*y - i. Calculate the lowest common multiple of y and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 33 + 17 + s - s + 6*s**3.\nAnswer: 6*s**3 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*a + 28 + 6, -3*a + 23 = 2*n. What is the remainder when 12 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 7. What is the third smallest value in 1, j, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/247 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -208.475033 rounded to two decimal places?\nAnswer: -208.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2859 - -2850. Let n = -3 - -7\/2. Put 3, n, h in descending order.\nAnswer: 3, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h + 1. Let m be p(-3). Let c = 272 + -164. Suppose -a = 103 - c. Solve 0 = -a*x + 3*u + m, -3*u + 8 = 5*x - 29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23552614?\nAnswer: 2, 41, 349, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 + 38*j**2 - 60*j - 104. What is the remainder when 0 + (1 - 0) + 61 is divided by r(17)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Let r be 1572 + 1*(-1 - i). Let f(z) = -z**2 - r + 1568. Let h(b) = -b. Determine f(h(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a + 1. Let w(t) be the second derivative of -t**4\/4 + t**3\/6 - 2*t**2 - t. Let c(b) = 2*l(b) + w(b). Let c(f) = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 6*r**2 + 2*r - 3. Let p(o) = -o**2. Let k(a) = n(a) - 6*p(a). Let y be k(0). Is y > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -2616. What is the highest common factor of 402 and h?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -7177 + 7177.04. Do -4\/433 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -114, 1, 21, -90 in increasing order.\nAnswer: -114, -90, 1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118*h**3 - 2*h**2 - 634*h wrt h.\nAnswer: -708*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (1 + -40) - -2. Let f be (-2)\/10 - (-8)\/n. Find the third derivative of 8*g**3 - 2*g**2 + f*g + 0*g**3 + 0*g wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 110. Let i(c) = -5*c + 218. Calculate -4*i(z) + 7*u(z).\nAnswer: -z - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 15, -2*m - m = -4*n + 159. Let g = n - 49. Let v = 0.6 + -0.1. Which is the smallest value? (a) 4\/3 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43682 divided by -21841.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166799 + 107099. Round q to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/10217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20240049821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22*(-3)\/(-2) + -3. Let f = 71 - 4. Let z = f - r. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1185.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267816 divided by 24.\nAnswer: 11159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000 = -31*k + 23*k. Let w(a) = 22*a**2 + 8*a - 22. Let y be w(3). Calculate the highest common factor of k and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21\/4 - -9\/2. Suppose -7*p - 19 = -47. Suppose -5*j + 2*b - 20 = -4, -p*j - 4*b + 4 = 0. Is k less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21210 by 1515.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 17*u + 79. Give c(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*j - 91*j - 238*j**2 + 275*j - 1 - 87*j.\nAnswer: -238*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.13, 1\/859, 3964?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930644079?\nAnswer: 11, 107, 226357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.44 + 1.44. Which is the smallest value? (a) l (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 + 8.17. Let k = 277\/5 - 55. Let n = 34866 + -34865. Which is the nearest to n? (a) 2\/7 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79*c**2 - 26*c**2 - 584*c - 26*c**2 - 580 - 31*c**2.\nAnswer: -4*(c + 1)*(c + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r + 2*r + 3*r)*(-3 + 2 + 0) - 3*r + 2*r + 3*r - 5*r + 3*r + 4*r)*(-r - r + r)*(0*r**2 + 4*r - 2*r**2 + r**3 - r).\nAnswer: 2*r**5 - 4*r**4 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*2 + 1)*-4*-1)**2.\nAnswer: 384*sqrt(13) + 29968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1935, 3880, 5825, 7770?\nAnswer: 9715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -4, -105 in descending order.\nAnswer: 1, -1, -4, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n - 38*n = -3*p - 13, -2*p + n = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6432358 to the nearest integer?\nAnswer: 2536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/1677 (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 d, and 2 h when four letters picked without replacement from {c: 8, d: 1, w: 2, e: 3, o: 1, h: 2}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1857*l**3 - 1921*l**3 - 145*l**2 - 136*l**2 + 281*l**2.\nAnswer: -3778*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -14. Put 2, n, 1\/4, 7 in descending order.\nAnswer: 7, n, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*c - 47*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3 + 22 = 0. Let b = r - 0. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) + sqrt(147))*6 - (2 + sqrt(175) + 0).\nAnswer: -17*sqrt(7)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/19432 and 49\/87675796.\nAnswer: 1227461144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1620*u - 2. Let t(n) = -3*n - 1. Determine -o(x) - 2*t(x).\nAnswer: 1626*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.16 + -17.55. Let p = -0.69 + s. Let x = p + 20. Put x, 0.4, -8 in descending order.\nAnswer: 0.4, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.017033969 times -0.2\nAnswer: 0.0034067938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 20*d**2 - 1. Let q(z) = 4*z - 6. Let h(g) = -g**3 - 4*g**2 + 4*g - 1. Let m be h(-5). What is the remainder when c(-1) is divided by q(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 374*f - 1492. Calculate the remainder when g(11) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by 240.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 665 and 1360940.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*1\/(-1) - (-1815 + 39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 205800*x.\nAnswer: 4*x*(x - 51450)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + q + 1. Suppose h = 4*h. Suppose -2*a + 0*a - 8 = h. Let t be a\/(-3)*(-6)\/4. What is i(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.8 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 4*a**2 + a. Let j be m(4). Put j, -1, 2 in increasing order.\nAnswer: -1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14635, -29729, -44823, -59917?\nAnswer: -75011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/30 and 101\/16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3523590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/17216 and 103\/29080.\nAnswer: 62580160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (sqrt(136) - (sqrt(136) + (sqrt(136) - -4*sqrt(136)))))*5)\/(sqrt(288)*3 + sqrt(288) - sqrt(8)).\nAnswer: 30*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 = 0, g - r = -0*r + 5. Put -5\/2, -4\/3, g in decreasing order.\nAnswer: g, -4\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 6 + 4*f**2 - 3*f - 3*f**2 - 2*f. Suppose -2*d + 2*b - 18 = -58, -125 = -4*d - 5*b. Suppose 4 = -3*q + d. What is h(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 12*j + 12. Let z be d(-12). Suppose -y = -z + 10. Let o(r) = -4 - 3*r - 2 + 4. What is o(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-78)*15 + 0. Let o be ((4\/(-52))\/1)\/(10\/98). Let k = t + o. Which is the closest to -0.2? (a) k (b) 25 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*j - g + 181, 0 = -5*j - 3*g + 183. Solve -t + 4*x - j = -6*t, 8 = -3*t + 5*x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 5 - 5)*(240 - 241 - 2242*k**3 + 2*k**2 + 1805*k**3 - k) in the form j*k + z*k**2 + m*k**4 + a + b*k**3 and give m.\nAnswer: -1311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 7)*12\/3. Let q(d) = d**2 + 12*d - 6. Let p be q(-10). Let x = n - p. Solve y = -5, -2*t + y = -7 - x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4\/4 - g**3\/3 + 48*g + 3. Does 12 divide y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 1)*(-7844 - 19685 + 63406 - 19664)*(-1 + 1 + s) to m*s + i and give m.\nAnswer: 16213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -79, -152, -235, -334, -455, -604, -787?\n\"Answer: -l**3 + l**2 - 69*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 511*d**2 + d**3 - 2 - 1029*d**2 + 521*d**2 + 191*d**4 as j*d**4 + m + g*d**2 + p*d + k*d**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126356?\nAnswer: 2, 3, 7, 11, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*o + 33 - 68, -5 = -5*p + o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, b: 1}. What is prob of picking 3 d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/433 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 405758.3 weeks?\nAnswer: 245402619840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0 + 1\/18*x**4 + 1\/180*x**5 + 8*x**2 + 1\/6*x**3 + 0*x. Factor z(c).\nAnswer: (c + 1)*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Let u = -9.7 - -8.7. Which is the closest to m? (a) -2\/11 (b) u (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -77 - 31*x**2 - 17 + 25*x**2. Let l(s) = s. Determine l(r(o)).\nAnswer: -6*o**2 - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 11.1 and 6.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a89 + 1?\nAnswer: -a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b + 3*t + 10588 = 0, -2*t = 0. Let p = b - -87341\/33. What is the common denominator of p and 76\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*(1 + (-2)\/(-4)). Suppose p - 6*p = j. Sort 5, p, -1 in decreasing order.\nAnswer: 5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 0*r. Suppose -3*v + 0*v = r. Let p(h) = 7*h - 7. Let y(n) = 12*n - 14. Let z(g) = 5*p(g) - 3*y(g). Give z(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 1, z: 4, q: 3, s: 1}. Give prob of picking 2 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58215031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*k + 3160 = -2152 - 3358 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = c + 1902, 4*h - 2528 - 8 = -5*c. Does 23 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**5 - 15060*s**4 - 11325100*s**3 + 22725550*s**2 + 11325105*s - 22710490 = 0.\nAnswer: -1507, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3 + 9. Let h(w) = -z*w**2 + 2*w**2 - 3*w**2. Let c(k) = -5*k**2. What is c(h(b))?\nAnswer: -125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-12))\/(((-9)\/(-15))\/(63\/35))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589442706.\nAnswer: 2, 3, 5179, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -33, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 4 + 2*t + 379*t**4 - 759*t**4 + 375*t**4 - 6*t - 2*t**2 in the form l + n*t**2 + o*t**3 + a*t**4 + c*t and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3255911 to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8*g = -3*j + 13, 3*j - 4 = 5*g. Let p be 2 + g + (-17 - -13). What is the third biggest value in -5, -1\/7, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -731, -5, -0.2 in ascending order.\nAnswer: -731, -5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 - 2*v - 4. Let r be x(0). What is the units digit of -1 - 2*122\/r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2010, -3 in decreasing order.\nAnswer: -2, -3, -2010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 904 and 5876.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19105196 to the power of 1\/2, to the nearest integer?\nAnswer: 4371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 213*n**3 - 8*n**2 - 10*n - 14. Let r(q) = -214*q**3 + 6*q**2 + 11*q + 15. Let d(p) = 3*r(p) + 2*x(p). Find the second derivative of d(j) wrt j.\nAnswer: -1296*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 - 379 - l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 9. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m - 2. Let i be w(1). What is the second derivative of -i*a**3 - 5*a + 6*a**4 + 6*a**3 wrt a?\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274 + 283. What is the lowest common multiple of (-2*1)\/((-4)\/6) and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a - 5*y + 2636 = 0, a = 5*y - 1328. What is a rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -9. Let m = s + -1. Solve -o = 5*a + 15, -2*o = -m*a + 2*o - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.29 + -13.71. Let m = k - -14.0031. Round m to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1545*i**2 + 755*i**2 + 778*i**2.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 9*r**3 + r**3)*(-5*r + 0 + 0) + 3 + 3*r**4 - 2*r**4 - 1 + (0*r**2 + 4*r**2 - 6*r**2)*(-4 + 4 + 2*r**2).\nAnswer: 37*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*o + 10, 12*q - 10*q - 5*o - 4 = 0. Let g = 6 - 4. Suppose q = h - g*s - 9, 5*h = -s + 55. Solve 3*v + 4 = -h for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8545484.\nAnswer: 2, 2136371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -35101?\nAnswer: -35097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 659, 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 1329*l - 1322*l. Suppose 4*y + h = -y + 1767, -4*y + 3*h + 1425 = 0. What is the greatest common divisor of l and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848 = 38*f + 58 + 80 + 724 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/72*(-9)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-8)\/10)*390\/(-75)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*a**4 - 1820*a**3 - 17*a**2 - 37182*a - 579 wrt a?\nAnswer: -552*a**2 - 10920*a - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*d - 22637 - 13350 = 386*d + 523 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 13*g**4 + 223050*g**3 + 12*g**2 - 223050*g**3 to s + a*g**3 + x*g**4 + j*g**2 + k*g and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**2\/2 + 6*o + 1. Let w(v) = 3*v - 1. Give -3*j(z) - w(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**3\/3 - v**2\/2 - 3*v. Suppose 2 - 6 = 4*g. Let y(m) be the first derivative of m**2\/2 + m - 1. Give g*s(j) - y(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91171926 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4 = -4*u, 0 = 14*b - 13*b + 5*u + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 2*sqrt(288))\/sqrt(12) - (sqrt(24) + sqrt(216)*-2))\/(sqrt(648) + sqrt(648)*-1 + sqrt(1728)\/sqrt(6)).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16043642, 32087289, 48130940, 64174595?\n\"Answer: 2*c**2 + 16043641*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -18483.781 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -30, 2, -1 in increasing order.\nAnswer: -30, -14, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 - -147. Suppose g = -h*g + 665. What is the highest common divisor of 19 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/20*(-4)\/9.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2, -10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 8)*(-4 + 0 + 3)*(-2*k**4 - k**4 + 4*k**4).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 703*c**2. Let i(w) = -30*w**2. Give i(n(a)).\nAnswer: -14826270*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 233549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0.845031.\nAnswer: -3.845031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4 + 8 + 3 + 3*r. Determine t(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 + 7. Let z be (-7833)\/(-84) + 2\/(-8). Let n = -92 + z. Let d(h) = -h**2 - 1. Let j(s) = n*a(s) + 3*d(s). Determine j(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y = -132. Let z = y + -44. Suppose j + j = z. Solve -p + j*p = 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141825371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/872 and -149\/6072120?\nAnswer: 661861080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -46 + 40, -2*n = 5*h - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than -10\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 457)*1 - (123 - 114). Solve -5*s + 429 = x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731 = -107*f - 89 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 46*j**2 - 8. Is q(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 7 - h**3 + 2 - 3 + 3 + h**3 + (-3*h**2 + 4*h**2 + h**2)*(-2*h + 1 - 1).\nAnswer: -4*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010220364 to 5 dps.\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1359*k**5 - 1389*k**2 wrt k.\nAnswer: -81540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.4 - 44. Let m = -5 + 7. Let g = -2 + m. Sort -0.4, x, g in decreasing order.\nAnswer: x, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23121*m - 1769*m - 13 + 6213*m + 13.\nAnswer: 27565*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/10 + 12\/20. Solve d*f + 5 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {c: 5, r: 3, n: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/5, -1, -5, -31178, 0.4 in decreasing order.\nAnswer: 3, 3\/5, 0.4, -1, -5, -31178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6158 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6078847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 10*r + 4. Let g(u) = u**2 - 9*u + 4. Let p(x) = -6*g(x) + 5*y(x). Suppose -l + 4 = i - 2, -i + 2 = -l. Let b = l + 1. Calculate p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 10 (c) -21 (d) 5\/2 (e) -0.4 (f) -2\/247\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2*16\/24. Suppose -s*a - 10 = -7*a. Let -1\/3*f + 1\/3*f**3 + 2\/3*f**a - 2\/3 = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = k + 7*y - 76, 3*k - 3*y - 219 = 0. Calculate the highest common divisor of 45 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-72)*-1*(-7659)\/(-69)?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -24, -160, -3\/38?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, 0.05, 4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21822 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**5 + 3*j - 3*j + (2*j + j - 2*j)*(2*j**4 - 3*j**4 + 3*j**4) - j**5 - 2*j**5 + 2*j**5 + 25*j**5 + 12*j**5 + 44*j**5.\nAnswer: 87*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 15*l + 375. Suppose 175 + 25 = -8*u. Let s be f(u). Solve s*o - 6*o = 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 3*g - 5. Let z be r(2). Suppose 0*c + 2*c - 4 = 2*w, 0 = -4*w + z*c - 7. Is ((-5)\/w)\/(24\/72) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (40 - (-26 - -29)) + 38?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 605 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1)*(6*q + 4*q - 7*q).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 829 - 807. Calculate the greatest common divisor of f and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 4. Let c be i(15). Suppose 10*h - c*h = -5. Calculate the common denominator of -29\/10 and 57\/(-12)*h*-1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -322386 (base 9) to base 3\nAnswer: -100202102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/28 and -67\/2333751?\nAnswer: 9335004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -4, -13 in descending order.\nAnswer: -4, -5, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 19*q + 11. Let w be i(19). Let r = -696 - -700. Solve -r*o = -w*o + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -1\/4, -30, -3\/8, 27, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) 730 (c) 2 (d) 90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 4*h - 5, -2*a + 3*h + 38 = 43 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*b**4*c + 2*b*c + 4*c + 101 wrt b.\nAnswer: 116*b**3*c + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 12) + (-5 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -123?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1+-4325.93\nAnswer: -4324.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16911741449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 77319\/55 - (12\/(-10) - -1). Calculate the greatest common factor of w and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2\/169, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) -41.3 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3)\/t*t\/(t**(1\/5)\/t) assuming t is positive.\nAnswer: t**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 8*g + 19. Let h be x(-6). Let k(o) = o + 8. What is the remainder when 56 is divided by k(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7801)\/87 + -27)*(-85 - (1 - 2)) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 0*y + y)*(4 - 2 - 1) + 6*y + 32*y + 3*y.\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -9, -10, -11?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x - 3*x + 5 - 4 - 13184*x**2. Let o be g(-1). Let y = o + 5185. What is y rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 38*a - 5 - 68, -b + 13 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2)\/(34\/85). Suppose -k*h + h = -916. What are the prime factors of h?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 616 by -4.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let f = 3 + 12. Let s = -17 + f. What is the nearest to s in m, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/15 - 34*r\/15 - 32\/15.\nAnswer: -2*(r + 1)*(r + 16)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7316457 minutes in seconds?\nAnswer: 43.898742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 124 = 112. Let p be 1 + (-1252)\/s*-3. Suppose 0 = -2*v - 4, 3*h - 4*v - p = -9*v. Round h to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.7 + 11.79\nAnswer: 18.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10775 (base 13) to base 7\nAnswer: -152666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -267035 (base 8) in base 14?\nAnswer: -26229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599466 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25942.9 - -25942.93199895. Let u = 0.032 - v. Round u to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9*a - 6*a - 20307 = 0, -4*a - 20314 = -5*w. What are the prime factors of w?\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 620?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3214, -6427, -9640, -12853?\nAnswer: -16066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from jbntbttewbetwn.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((2*(-2)\/340)\/((-116)\/580))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -2*b - 27. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -81327*i + 406610. Calculate h(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7, 0.4 in increasing order.\nAnswer: -8, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 6:36 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-575)\/150 + 5\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192523735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -83*r**4\/2 + 265*r**2 + 332*r. Differentiate x(z) with respect to z.\nAnswer: -996*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-2 + (1 - 3)). Suppose 3*h - j*r - 100 = 0, -3*h + 31 = r - 81. Suppose 3*c + 2*p = -p + h, 5*c - 3*p = 36. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12814.77 - -12874. Let m = u + -59. What is the smallest value in m, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.081 + 33.219. Round o to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1642*n - 1525*n - 9 - 2 + 11. Let i(t) = 26*t. What is i(h(w))?\nAnswer: 3042*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.78 in -10, -0.02, 1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -17. Suppose 2*f - 4*c = 4 - 2, b = 2*c - 10. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/3))**(-1\/43)\/((m\/((m*m*m**(-1\/10))\/m)*m)\/(m*m**8*m)) assuming m is positive.\nAnswer: m**(11501\/1290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 809 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {l: 1, k: 1, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9525\/38084 - 1\/9521. Let o(a) be the second derivative of -1\/150*a**6 + 0 + 7\/100*a**5 + 0*a**2 - h*a**4 + 3\/10*a**3 - 22*a. Factor o(t).\nAnswer: -t*(t - 3)**2*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 + o - 36. Suppose 259*l + 33 = 262*l. What are the prime factors of y(l)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2133 = -19*j + 11576. What are the prime factors of j?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - d - 1. Is w(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:29 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/156)\/(-10*13\/(-1040)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 0 - 9 - -70. Suppose 4*b = 2*b - l + 134, -b - 2*l + q = 0. What is the lowest common multiple of 4 and b?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {b: 6, y: 1, l: 3, s: 1, v: 2, f: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 22*k. Let u(w) = 52*w - 36*w - 24*w. Determine l(u(z)).\nAnswer: -176*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**2*m - 202*h**2 + 2*h*m + 6*h + 2*m - 2 wrt h?\nAnswer: 12*m - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7275 (base 8) in base 10?\nAnswer: -3773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 3*h**2 + 2*h - 2. Let s be n(3). Let v be s\/42*(-36)\/(-6). Is 4\/3 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-107 + 121 + -1 + 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r**3 - 23*r**2 + 11*r + 1. Is x(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 7 = -959. Suppose f + 0*z = -3*z - 5, -3*f = -3*z + 51. Let r = f - u. Calculate the remainder when 81 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -11*q**2 + 5*q + 1. Let y = 3 + -8. Let x be n(y). What is the greatest common factor of 23 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j + 7*j + j**2 + 4*j + 4*j + 21*j**2.\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 644 and 4347?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000066447662 rounded to 6 dps?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 27, -29, -2 in descending order.\nAnswer: 27, -2, -29, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(500) + -1 - sqrt(500)) + 0)*1 + (sqrt(500) - (-1 + (sqrt(500) - (sqrt(500)*1 + sqrt(500)))) - (4 + sqrt(500)*2))*2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**2 - 171*o + 268. Calculate x(40).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -107 and 13.\nAnswer: -1391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-20)*(-212 + 0). Let f = -47 + o. Solve -3*v = 3*s - 15, s + f = 3*v + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/11725 and -44\/177275?\nAnswer: 11877425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14473821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13*t**2. Let m(r) = r + 3. Let h be m(0). Suppose 0 = 33*g - 32*g - h. Let u(l) = -7 - g + 10 - 2*l. Give s(u(q)).\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9470 is divided by 9457?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15001593, 15001593, 15001595, 15001599?\n\"Answer: w**2 - 3*w + 15001595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/669 - 2017\/3345. What is the nearest to 1\/4 in 2\/25, j, 0.5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*168\/42?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 + -80. Let n = x + -20. Let k be (n\/(-4) + 2)*3\/(-3). Solve -k*q = q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261928 is divided by 497.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469.176km in meters?\nAnswer: 3469176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -7*t**6\/120 + 49*t**3\/6 - 5*t**2\/2 - 47*t. Let o(u) be the first derivative of l(u). What is the derivative of o(g) wrt g?\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -19, -75 in descending order.\nAnswer: -1, -19, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2 = s - 0, -5 = 2*s + k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*k = 5*v - 199*k - 17, 0 = -2*v - 4*k - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.118 less than 351?\nAnswer: 351.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2 - z + 4. Let g be u(-2). Let a(l) = l + 96. Let c be a(g). Suppose 16*v - 15*v - c = 0. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -868 = 70*l + 112 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-1 + 1 - -1). Suppose -b*d = -4*d + 8. Let v be (-2)\/d + (-21)\/(-6). Do -2 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**2\/2 - 17. Let n(k) = 0*k + 0*k + 2*k**2. Determine n(i(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 15 + 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**3 - 32*m**2 - 12*m. Is 122 a factor of k(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10780 and 2762914.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 16. Suppose 0 = -4*n + 7 + 13. Which is the nearest to 1? (a) n (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*g - 12. Let s = -658 - -428. Let d = s - -276. Calculate the greatest common factor of g and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 6 + (2 - 6) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2410631809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u)**8\/((u\/(u*u*u**(1\/4)\/u))\/u)**(-1))\/((u**(-1)\/u*u**(-1\/5))\/((u\/u**(1\/3))\/u*u*u\/(u*u**(-1)*u))) assuming u is positive.\nAnswer: u**(-383\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2385\/(-825) - (-2)\/(-10) - (-2)\/22.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 782 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-8))\/((-21)\/84)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-7)\/(-35))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from wth?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 3. Let d = -0.11 - -0.17. What is the second smallest value in c, d, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:14 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 722 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46517917 and 4847?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2991814614809 and -2.4.\nAnswer: 2991814614806.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349835790 divided by -19.\nAnswer: -18412410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o - 33. Let y(p) = -1 - 19*p - o*p - 6*p. Let n be y(-3). What is n rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10565109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 x, and 1 v when three letters picked without replacement from {w: 1, x: 1, v: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135 - -135. Suppose 4*j + 2*u - 4 = 0, -j + d*u - 2*u = 2. Solve -y = j*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 326\/84 - (-8)\/28\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(9 + -3)*2 + -1. Which is the closest to 1? (a) -3\/2 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.038\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 73, -14, 4 in increasing order.\nAnswer: -14, -5, 4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*j + 48, 0 = -12*f + 15*f - 12. Solve j*x + 8 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19152276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/9))**39\/(h*h**(-1\/20))**(3\/2) assuming h is positive.\nAnswer: h**(-691\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2851.22 tonnes?\nAnswer: 2851220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 36 = -3*c, -130*i + 10*c - 75 = -135*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103.7 + -104. Let f = -182\/5 + 37. Sort 0.3, f, 2, n in descending order.\nAnswer: 2, f, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five halves of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 10:40 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) 31 (c) 0.003 (d) 126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 5*v - 20 + (-1 + 0 - 1)*(-2*v + 4*v - 3*v) + v + 2 - 2 + (1 + 1 - 16)*(3*v + 2*v - 3*v))*(-v - 1 + 1).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4*o)\/(o**(1\/6)*o)*o*o**2*o**(-2\/15))\/(o**(-2\/9)\/(o\/(o**(1\/9)*o))*o**7\/o**0) assuming o is positive.\nAnswer: o**(-17\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202310333023 - -11?\nAnswer: -202310333012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-7))\/(-6)*(-1)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24.4886 - -24.53988422. Let h = -0.0787175 - y. Let g = 0.13 + h. Round g to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t + t**2)*(3 + 0 - 1).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0 - 1) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*f + 26 = 0, 435*h = 437*h + 4*f - 20 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 + 150*m**2 + 3*m + 7657. What is z(51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 + 691*f + 6*f**2 - 611*f as d*f**2 + v*f + j and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*r**3 - 6*r**2 + 216\/7*r - 40 = 0. What is r?\nAnswer: 2, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**5\/120 + 5*x**4\/12 + 5*x**3\/3 - 5. Let m(o) be the third derivative of s(o). Differentiate m(i) with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823609 a multiple of 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 9643*j**4\/3 + j**3\/2 - 7*j**2\/2 + 20*j. Let w be k(-7). Round w to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 13\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*32\/(-12). Solve -b = -m - i, m = 3*b + 3*m + 13 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 328*c - 325*c + 43, 0 = 2*c + 2*n + 22 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:00 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {e: 6, a: 1, u: 11}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -136*v**2 - 59588670*v + 876304 = 0.\nAnswer: -438152, 1\/68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -21\/5 (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48702847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -35.6. What is the third biggest value in -2\/11, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 7:31 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.1 - -17.7. Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 2. Let s(d) = d + 17. Let p be s(-13). Suppose 19 = 2*l + 3*t, 0*l + 3*t + 11 = p*l. Determine q(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 1. Let t be q(5). What is the tens digit of ((-202)\/t)\/(14\/(-126))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, n: 4, v: 4, j: 3}. Give prob of picking 2 v.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*m**5 + 15*m**4 + 168*m**3 - 153*m**2 + 12*m + 12 = 0. Calculate m.\nAnswer: -2, -2\/9, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7\/d)**(-2\/9)\/(d**(-1\/3))**(-28) assuming d is positive.\nAnswer: d**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70080 is divided by 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 2 + ((sqrt(1216) + 1)*1 + sqrt(1216) - (-4 + 1 + sqrt(1216))) + (4*(3 + (sqrt(1216) - (sqrt(1216) + -1)) + sqrt(1216) + sqrt(1216)))**2 + 3).\nAnswer: -468540 - 12336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 820069, 3280225, 7380483, 13120843, 20501305, 29521869, 40182535?\n\"Answer: 820051*y**2 + 3*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1014031 (base 7) to base 2\nAnswer: 11101101001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -10. Let h = 0 - -2. Find the third derivative of -3*r**2 + r**2 - p*r**5 + h*r**5 wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 6*l**2 + l + 7. Let x be q(-6). Let o be 8\/(-10)*(6 - x). Let s = 15 - o. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 40, 0 in ascending order.\nAnswer: 0, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 19053*x. Let g(v) = v. Determine n(g(w)).\nAnswer: 19053*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -18, 0, -0.052?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.611 (b) -3 (c) 2 (d) -0.17134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/9 - 2*j**3 - 26*j**2\/9 + 2*j + 28\/9 = 0.\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*d = -3*d, v - 5*d = 6. Let h be (114\/(-76))\/(1\/28). Let a = 46 + h. Put 8, v, a in increasing order.\nAnswer: v, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 140*s**2 - 4*s - 140.\nAnswer: 4*(s - 1)*(s + 1)*(s + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29085170 is divided by 4155023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 6*t - 6*t + 18*t + 5*t + 9*t.\nAnswer: 34*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*r**3 - 2*r - 14*r**2 + 154*r**3 + 3*r + 7*r - 10*r as b*r**2 + y*r + t + g*r**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*r - 12, -5*m = 4*r - 786. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21533, -42666, -63797, -84926, -106053, -127178, -148301?\nAnswer: -169422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08367 rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**4\/4 + 8*p**3\/3 - 25*p**2\/2 - 7*p + 57. Is a(-10) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 0 - (3 + 2). Let g(v) = -v**2 - 5*v - 6. Let u be g(l). Let x be (-1 - u) + 1 - -1. Solve -3*f + x*q = 24, -f - 11 = -4*q + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 + -94 + (-7 + 15 - 3) + -15?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56122237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22 + 153d?\nAnswer: 151b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -24, -8, 24, 78, 160, 276?\n\"Answer: i**3 - i**2 + 2*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -14*d - 12. Let q(h) = 2*h + 36. Let u be q(-19). What is the remainder when 108 is divided by v(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 581? (a) 5 (b) 2 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 903161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 5. Let t = 0.36 + -4.36. Sort t, f, 5.\nAnswer: t, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4 + (-1230774)\/216. Let q = y - -5699. Let o = q - -5\/12. Put o, 0.5, -3 in decreasing order.\nAnswer: 0.5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 1217\/15. Suppose -3*u - 10 = -40. Suppose 0 = -5*y + z - 0 - u, y = 4*z - 2. Which is the second smallest value? (a) y (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121230 + -219062604\/1807. Is a greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/x*x*x**0*x*x)**(-1\/4)*((x**(-4))**(2\/9))**1 assuming x is positive.\nAnswer: x**(-77\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 783?\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 923.5 + -924. Let n = -11 + 17. Suppose k + 0*k = -n. Which is the nearest to 0? (a) k (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - k**2)*(-3 + 3 - k) - 2*k**3 + 0*k**3 - k**3 + (-3*k - 2*k + 9*k)*(-4*k**2 - k**2 + 4*k**2).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 11480.\nAnswer: 11480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 10*t**2 - 16*t - 1. Let a be z(8). Put 0, -2, a in descending order.\nAnswer: 0, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -550*o**4 + 552*o**4 + 2*o**3 - o - 2*o**2 - o**3 as v*o**3 + k + i*o**4 + n*o**2 + x*o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 218753\/325502100 - -1\/384300. Let p = n - 598909\/118580. Calculate the common denominator of p and 13\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2262 is divided by 1079?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -59*k**3 + k**2 - 3*k + 2. Let j be c(1). Let o = j - -125. Let y = 11 + o. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-10))\/((-10)\/2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 4*q - 5*q)*(-15*q - 13 - 15*q + 28*q).\nAnswer: -6*q**2 - 39*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22884 - -34182. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205416.5 rounded to the nearest 1000?\nAnswer: -205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 142530040 (base 7) to base 2\nAnswer: 100011110011011001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 734081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w = -524 + 480 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -21, -2, 25?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-56))\/(-37))\/(1\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.3 + 4.3. Let c = z - 4.24. What is c rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -5 (b) 0.6 (c) -11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -r - r. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 459 - 567. Let m be p\/(-28)*((-12)\/(-4))\/(-18). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3*g + 0*g - 29499991 = 0, -2*g + 5899994 = j. What is j rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/5 + 4341*x**2 + 1716957*x\/5 - 347733 = 0. Calculate x.\nAnswer: -7155, -81, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 996 and 3?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 340, 764, 1188, 1612, 2036?\n\"Answer: 424*z - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(66\/(-198)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376054?\nAnswer: 2, 7, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2995 - 2994.97. What is the nearest to 2 in t, 1.4, 0.3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1071*w**2 + 10*w - 1. Let q(o) = -o. Determine q(f(p)).\nAnswer: 1071*p**2 - 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -12485\nAnswer: 3\/12485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-4) + 252\/(-605). Let h = i - -2\/121. Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 36*a**3 - 27*a**2 + 6*a + 15. Let u(s) = -5*s**3 + 4*s**2 - s - 2. Let i(c) = -15*u(c) - 2*w(c). Factor i(m).\nAnswer: 3*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -36*s**6\/5 - s**5\/5 + s**4\/12 - s**3\/3 + 85*s**2 + s + 2392. Find the third derivative of q(z) wrt z.\nAnswer: -5184*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nggngggg. Give prob of picking 2 g and 2 n.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*j - 964, -13*o + 2410 = -8*o + 3*j. Calculate the remainder when o is divided by 56.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 + -109. Suppose 2*s = 3*c + 3*s + a, -5*s - 4 = -c. Is c bigger than -47\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 + -173. Let q(m) = -2*m**2 - 3*m + 4. Let r(f) = 2 - 1 + 0*f - f. Give d*r(p) - q(p).\nAnswer: 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -11584454.\nAnswer: 2\/5792227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 3:37 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17b (base 14) to base 16\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - 3*m**2)*((3 - 3 - 3*m**2)*(m + 0 + 0) + 4 + 2*m**3 - 4) - m**5 + m**5 - 2*m**5 + 16*m**5 - 14*m**5 + 36*m**5.\nAnswer: 39*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**4\/12 - 11*f**3\/6 + 2*f**2 - 3*f. Let k = -30 - -17. Calculate the remainder when w(k) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 19*l + 43. Calculate the smallest common multiple of t(7) and 374.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 928 + -460. What are the prime factors of z?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 1\/42*l**7 - 1\/30*l**6 + 0*l**3 + 0*l**2 - 28*l + 0 + 0*l**5 + 0*l**4. Let j(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24, -7, 14, 33, 44, 41, 18?\n\"Answer: -r**3 + 8*r**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -15 + 8 + 9 + 2253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (15 + 33 - -7).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 838 - 837.8. Which is the third biggest value? (a) -195 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 62. Let f be (1 - -2 - r) + -2. Let l = -9 - f. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168031178, 336062353, 504093528, 672124703, 840155878, 1008187053?\nAnswer: 1176218228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3961 = 124*i - 1998 + 1757 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9989 at most as big as 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.1 + 19. Let f be (-1)\/3 - (-5 + 59\/12). What is the closest to -1\/3 in g, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283872281?\nAnswer: 3, 427957427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15144 + 262*l - 15144)*(1 + 3 - 5).\nAnswer: -262*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1194574*g**4 + 113440508*g**2 wrt g?\nAnswer: -28669776*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.841169 tonnes in grams?\nAnswer: 841169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 - 6615576?\nAnswer: -6615562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 24, -50*v = -49*v + j + 5. Sort 10, v, -862 in descending order.\nAnswer: 10, v, -862","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q + 50. Let a(g) = g - 1. Let r(h) = -h**3 + 10*h**2 + 7. Let n be r(10). What is the remainder when q is divided by a(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 - 91. Calculate the remainder when -9 + (3 - -4) + 122 + 0 is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 149 = -311 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 2*f + 3. Let u be r(-2). Find the second derivative of -u*v + 5*v - 4*v**3 + 5*v - 4*v**3 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54197?\nAnswer: 11, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.36291046285 take away 201?\nAnswer: -202.36291046285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {h: 7, o: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 4*f**2 + 4*f - 4. Let l = -9 + 9. Suppose l = 2*o + 2*o - 12. Calculate h(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - (sqrt(2793)*-1 - sqrt(2793)))\/(sqrt(12)\/sqrt(4)*-1 - sqrt(3)) + 1 + (sqrt(2299) - -1*sqrt(2299)*-1)**2.\nAnswer: -15*sqrt(19)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 less than -28347226.109?\nAnswer: -28347650.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -257 + 256.9. Let l = 31.2 + -28.18. Let m = l + -3. Which is the nearest to r? (a) 0.1 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d**2 + d + 1. What is the units digit of p(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/7 - 25*d\/7 + 186\/7.\nAnswer: -(d - 6)*(d + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0161 - 1.0293. What is i rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**10\/r*r**(-11)*r)**(-41) assuming r is positive.\nAnswer: r**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = d + 3*d + 28506, -2*d = -4*s + 37998. List the prime factors of s.\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, 0, -23\/3, -2, 2190 in ascending order.\nAnswer: -23\/3, -3, -2, 0, 0.3, 2190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(g**3 + g**3 - g**3) + (-2*g + 2*g + g)*(37*g + 10*g**2 - 14*g - 29*g).\nAnswer: 9*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 98. Let a be u\/(-21) - (-1243)\/(-7). Let g be a\/21*-3 + 3\/(-7). Is g bigger than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51.15557 to the nearest integer.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 - -325221005?\nAnswer: 325220504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**2\/15 - 33445508*y\/15 + 139825250672258\/15 = 0?\nAnswer: 8361377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -32, -5\/3, -0.1 in descending order.\nAnswer: -0.1, -0.4, -5\/3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = -4*i - 286, 2*i - 446 = -3*q. Suppose -10*r + q = -6*r. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*d = -4*w + 89*d - 2, d - 1 = 0. Let x = 6763\/296 + -183\/8. Are w and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:02 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + d**2 - 2*d**2)*(0 + 2*d**2 + 0) + (3*d**3 - 2*d**3 + 0*d**3)*(d + 0*d + 0*d) - 5*d**4 + 4*d**4 - d**4.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7202 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66651?\nAnswer: 3, 13, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + s**2 - 4*s**2)*(-1 + 0 + 5)*(-2*s + s + 0*s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 30. Suppose 2*h + 0*h + 3*n = 1, 3*h - u*n - 11 = 0. Solve -5*t - 24 = h*z, 5*z - 5*t - 2 - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from avvaavl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343221111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i = -36*i - 11 - 46 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 41 - 65 - 2*c**2 + 650*c + 28 + 4*c**2.\nAnswer: 2*c**2 + 650*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 7*a + 6. Let c be x(-7). Let s(b) = -2*b**3 - 7*b**2 + 3*b + 6. Let m be s(-5). Calculate the greatest common divisor of m and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*3\/(30\/(-2))*9\/((-72)\/(-176))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b - 58*b = 228. Solve -b*p = -18*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5255 + -68317\/13. Which is the fourth biggest value? (a) 0.3 (b) 0.1 (c) -4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -83 and 204?\nAnswer: -16932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*v - 2*v = 9, 18 = 5*j - v. Let q be ((-4)\/2 - -1) + 1 + j. Let z be (-2)\/(-1 + 4 + q)*-6. Solve -8 = -z*u - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126, -114, -88, -42, 30, 134, 276?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9028 is divided by 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -19 - 5. Let v = c + -9. What is the second derivative of -4*t + v*t**4 - 6*t**4 + 5*t**4 wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2208886.94999996 + -2208887. Let b = 0.09 - 0.14. Let h = f - b. What is h rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from {a: 2, r: 1, o: 2, n: 1, w: 1, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - g + 0*g)*(-3*g - 4*g - 10*g) to u*g**2 + z + a*g and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6dd (base 14) in base 9?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -431, -922, -1613, -2510, -3619?\nAnswer: -4946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g. Let p(j) = 40*j**3 + j**2 + 2*j + 1. Let d be p(-1). Let x(i) = i**2 - 45*i. Let m(q) = d*l(q) - 5*x(q). Solve m(k) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8547783*g**2 - 7164*g - 218.\nAnswer: 17095566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378950035 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -59835, -59868, -59901?\n\"Answer: -33*c - 59802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3145478 is divided by 948.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1729253 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/4 + 1\/4. Sort -2\/5, q, 0.2.\nAnswer: -2\/5, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiii. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - w = -2*w - 1, x + 5*w - 7 = 0. What is the greatest common divisor of x and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2022133 - 1113?\nAnswer: -2023301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*g*m*n*t**2 + 4*g*n*t - 4*g*t**3 + 14*g + 11*m*n*t**3 - 3*m*n + 2 wrt m?\nAnswer: 13*g*n*t**2 + 11*n*t**3 - 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 64 = 1030. Suppose -105 = -2*a + 2*w - 11, 4*a - 181 = -3*w. Calculate the greatest common factor of a and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(36)\/(sqrt(12) + sqrt(12)*-3)*-2 + (-1 + sqrt(432))*5.\nAnswer: -1 + 61*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -13*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 22*b + 4455 = -27*b, -4*b = -2*a - 1776. Calculate the common denominator of ((-7)\/((-175)\/10))\/((-96)\/a) and 71\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -728.252489 - 0.06?\nAnswer: -728.312489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r + 199 = -146*r + 65*r - 41 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9576ml to litres.\nAnswer: 0.0029576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4 + 2\/4. Let x(w) = 3*w - 11. Let y be x(5). Solve -y*i - 7 - 9 = -a*q, 2*q + 4 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 3 + (-8)\/10. Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -260865, -521222, -781581, -1041942?\nAnswer: -1302305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35826*k**2 + 35826*k**2 + 30*k**3.\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 15.4.\nAnswer: -33.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-145)*((-94696)\/1824 - (-2)\/12) - 7.\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 8:53 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2332.8 + 184109\nAnswer: 181776.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 65 = -77. Let s(i) = 5*i**2 + 3*i - 1. Let v(q) = 6*q**2 + 4*q - 2. What is a*s(h) + 3*v(h)?\nAnswer: -2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Let g(s) = 6. Let t(u) = g(u) - 5*m(u). Determine t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.6 + -15. Let z = 0 + i. Let j = z - -0.4. Which is the second smallest value? (a) -0.3 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 102081247?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w + 2*w - 2*w - 1 + 5*w. Determine f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/((-1*sqrt(56))\/sqrt(8)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5 + 0*f**3 + f + f**3 + 3*f**2 - 10*f**2. Let v be h(7). What is o in 1\/3*o + 1\/3*o**4 - 1\/3*o**3 + 0 - 1\/3*o**v = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 1, j: 3, y: 2, w: 4, x: 1}. Give prob of picking 1 w and 1 y.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**3\/6 + 3*a - 42. Let f(y) = y**2 - 1265. Determine v(f(n)).\nAnswer: n**2 - 1265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 - (-1 - 15)\/(-8). Let k be g - (-1 + (-48)\/(-28)). Factor k*v + 16\/7 - 4\/7*v**2 - 4\/7*v**3.\nAnswer: -4*(v - 2)*(v + 1)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -207. Put 2, k, 5 in ascending order.\nAnswer: 2, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 11. Let p be h(-8). Let i = -6.8 + 35.8. Let g = -29 + i. What is the closest to g in p, 2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1404\/263 at most -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.9634684 + -140.\nAnswer: -117.0365316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 + 9 = 0. Let m(z) = z**3 - 5*z**2 - 7*z + 2. Let n be m(j). Let t(s) = -s**2 - 8*s + 3*s + 1 + 4*s. Calculate t(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1256\/177 + -492422\/531. Let y = a - -938. Calculate the common denominator of y and 83\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-2 - (8 + -1 - (6 + 0)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 904\/19 (b) -4 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11186769 and 25?\nAnswer: -2.79669225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.41482649 and 3446795?\nAnswer: 3446796.41482649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22082296.\nAnswer: 2, 2760287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 - 2*w + 1. Let m be x(-3). Let l(d) = -d. Let r be l(m). Suppose 0 = -r*s + 9 + 3. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -578*a**5 - 29920*a**4 - 396958*a**3 - 279896*a**2 + 82536*a - 5184 = 0.\nAnswer: -27, -24, -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832974 is divided by 416479.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 15*j = -3*n - 55, -3*j = 5*n - 35. Let y(q) = -q**2 + 24*q - 85. Let l be y(j). Which is the closest to 2.3? (a) l (b) 5 (c) -1\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 125 + 238 = 0. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 0*h + 0*h + 3*h - 5*h - 4*h + (2 + 1 - 2)*(-h + 3*h + 4*h) + 1 - 4*h - 1 to c + f*h and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 16. Let k = t - 15. Let s(c) = -9*c**2 - 7*c. Let q(a) = -8*a**2 - 6*a. Give k*q(u) + 6*s(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, p: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 21, 1.\nAnswer: -1, 1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 695047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 6*u)*(-u**2 - 6*u**2 + u**2).\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 79*b**2\/4 + 142*b.\nAnswer: b*(b + 8)*(b + 71)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 2. Let l be (-1)\/3 + 32\/h. Solve -11 = l*g + 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((2 + -2)\/1)\/2. Let n(v) = -v + 1. Let k be n(r). Let h be (-1 + 1\/2)*-22. What is the highest common factor of h and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - ((sqrt(114)*2)\/sqrt(6))**2 - (sqrt(19) - (sqrt(19) + -1)*5)) + sqrt(57)\/(-4*sqrt(3))*-5.\nAnswer: -81 + 25*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cycrwrcyccrc. Give prob of sequence rw.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in 6150, -2\/5, 2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-315))\/(4974\/(-11606))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501778523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4, 57 in descending order.\nAnswer: 57, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 95?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*i + 58 = 0, -3*b - 28 = -4*b + 5*i. Let l = b + -22. Let u be 8\/(1\/(-2 + 1)). Is u smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/4*4*1. Suppose 0 = -n + 3*o + 22, o + 110 = -2*n + 7*n. Calculate the highest common divisor of t and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 15 = t + 4*t, -2*t = 5*u + 6. Let f(s) = 9*s - 4. Give f(t).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30933, 62057, 93181, 124305, 155429?\nAnswer: 186553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + 10. Suppose -s = -9*b + 25. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*p + 8 = -102*p. Solve 2*h = -p, -2*h = n + 3 + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34 + 48 - 9*c**3 - 3*c**3 - 5*c**3 wrt c?\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -810 - -1320. List the prime factors of k.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12489.\nAnswer: 3, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -131, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 28*y**2 + 196*y - 16. Calculate g(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -69249*i**3 - 276993*i**2\/2 - 69246*i + 3\/2 = 0. Calculate i.\nAnswer: -1, 1\/46166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 + 404 - 202 - 372051*b**2.\nAnswer: -372051*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 287, 288, 289, 290, 291?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*u = -p + 231, -2*p - 8 = 0. Suppose -2*f = 2*h + 110, -83*h = 2*f - 80*h + 114. Let v = u - f. Solve y = 6*y + 15, 1 = -v*x - 3*y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 6:31 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.922 * -63\nAnswer: 121.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a tonne in kilograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9549 and 9549.\nAnswer: 9549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239944*m**2 - 269039*m wrt m?\nAnswer: -479888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 20, -0.2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-165 + 4*y**2 + 165)*(-3*y + y + 4*y)*(y**2 + 0*y + 0*y).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -520 (base 13) in base 2?\nAnswer: -1101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 2*u**2 - 3*u**2 + (-u - u + 4*u)*(-2 + 2 + 7*u) + 4*u**2 + u - u + 14 + 6*u**2 - 14 - 3*u**2 - 3*u + 3*u)*(-1 + u**2 + 1).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqwovvowzwwwowwqqwo. Give prob of picking 1 z and 1 o.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14341523 is divided by 656.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/265 and 6\/(-10) - (11 - 4464\/405).\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 2478.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322.1114 millennia to decades.\nAnswer: 32211.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((s - s + 2*s)*(1 - 1 + 1) - 2 + s + 2)*(3 + 3 - 1) + (0 - 5 + 3)*(-2*s + 0 + 0) in the form y + r*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62411 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-65 + 2 - 3) + -111 + -67 + 197\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1074 = g - 4297. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o + 6 = 24*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -411 < -572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -54148 times -19\nAnswer: 1028812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*b + 599*b + 230*b.\nAnswer: 613*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.3, -2, -3 in decreasing order.\nAnswer: 1.3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from ggyyooouoououyogogou.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8\/25 of a microgram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14076947.210000745 - 14076948. Let y = -0.79 - r. Round y to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1990 and 22.\nAnswer: 21890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98948139 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + 14*i - 5. What is p(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -5 - ((2 - -7) + -86 + 79).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3060140 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*d**2*v**2 - 38*d**2*v + 161048*v**2 wrt d?\nAnswer: 20*d*v**2 - 76*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(2*g + 0*g + 0*g) - g + 2*g + 3*g + 4*g - 3*g + 2*g + 5*g - g - 6*g + (2 - 2 + 2)*(-2*g - 3*g + 0*g) to the form o*g + r and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/15 + 10927114*q**3\/15 - 6633429608442*q**2\/5 + 2416132540151247430*q\/3 + 48322969208345489624\/15.\nAnswer: -2*(q - 1821187)**3*(q + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -3 (c) 3 (d) 5 (e) -1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (-37)\/(3108\/(-3864)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 10:57 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 900 = 6*h. Differentiate -296 - 20*p + 193*p + h*p wrt p.\nAnswer: 309","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, -1\/2, -41412?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04605 - 2.04605. Put -0.69, -2\/3, b in descending order.\nAnswer: -2\/3, -0.69, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 85*c**2 - 761*c + 466. Give y(75).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 25 + -21 + 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 10) to base 2\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 4*n + 3. Let y be t(-4). Suppose y = 2*h + h. Let s be (-25)\/2*-2*h. Which is bigger: s or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -1. Suppose -2*x + 4*k = 28, 3*k = 13 + 2. Let v(d) = -d + 1. Let y be v(x). Calculate the greatest common factor of u and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.26 - 4.63. What is y rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -965 by -66.\nAnswer: 965\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/5 + (-6 - 42\/(-15)). What is the hundreds digit of 37*(-6 - -3)*a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4\/3 + 10*g**3\/3 - 5*g**2\/3.\nAnswer: -5*g**2*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004202777 to seven dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/351 and -38\/3321?\nAnswer: 43173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 4 (b) -13\/51 (c) -0.1 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214580229?\nAnswer: 3, 71526743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.614 in -0.08, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + a = -16, -5*w - 3*a + 12 = -8. Solve w*q + 6 = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 1012*z + 17542. Determine x(319).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1123, -1103, -1049, -943, -767, -503, -133, 361?\n\"Answer: 3*n**3 - n**2 + 2*n - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/(-9) - (-30)\/(-135). Suppose -5*t + 13 = -4*p - 20, -3*t + 11 = 2*p. List the prime factors of k\/(-16)*p*-14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 6, k + 0 = 2*q - 15. Let i(l) = l**3 + 7 + 7 - 2 + 10*l**2 - 15*l. Does 7 divide i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:16 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 - x - 1. Let p(r) = 3*r + 15*r**2 - 2*r**2 - 19*r**2 + 2 + r**2 + 4 - 18*r**3. Calculate -5*d(g) - p(g).\nAnswer: 13*g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.65 + 33014.\nAnswer: 32997.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*a - 125609 - 262028 = -134917. Does 48 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/33936 and 121\/1680.\nAnswer: 169680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 323 + -201. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 + 1.1. Let q = -4.3 + -0.7. Which is the nearest to -1\/7? (a) o (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 24*c - 15, 3*x + 3113*c = 3111*c + 29 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r - 2*r - 6 + r. Let s(j) = -3*j**2 + 18*j - 10. Let x be s(6). What are the prime factors of c(x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 6:04 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -241378, -482737, -724096, -965455, -1206814, -1448173?\n\"Answer: -241359*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88840 (base 11) to base 16.\nAnswer: 1f714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -19.9. Let d = 1 - 1.1. What is the nearest to d in b, -5, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/((-7)\/14)*(-45)\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3)*(360\/110 - 3). What is the fourth biggest value in -259, t, 1, -4\/3?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 20 = 8*k. Calculate the highest common divisor of 20 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/30*-18*(-2 + (-6690)\/(-9)) is divided by 44.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 + -292. Calculate the lowest common multiple of f and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 20080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -627025.\nAnswer: -627030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 13604 + 1910 + 4205. What is the greatest common divisor of 126 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166625541.\nAnswer: 3, 37, 661, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -900529.996 - -900519.99600054. Let y = 192 + -182. Let r = q + y. Round r to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11832 is divided by 5854?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186.301 centimeters in millimeters?\nAnswer: 31863.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -5170.3?\nAnswer: -5170.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59.837 + -337.527. Let d = -278 - t. Let k = -716\/6441 - -2\/339. What is the third smallest value in 0.1, k, -4, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3402, -13643, -30738, -54711, -85586, -123387, -168138?\n\"Answer: -4*f**3 - 3403*f**2 - 4*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 7*i - 3. Let x be p(8). Is (-1 - -2834) + 3 + x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23268 + -12603. List the prime factors of n\/75 - (-3)\/(-15).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -4. Suppose 0*l - 2*l + 20 = 0. Suppose -2*h + o + l = 0, -2*h + 10 = 4*o - 0*o. Solve h*u = -p - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*3)\/(-4*sqrt(36)) + 0.\nAnswer: -9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*u - 2251 - 1511 = 174 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r + 2 + 30*r - 17*r + 15*r - 12*r.\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*g + 119. Let j = -9 - g. Does 11 divide ((-38)\/j)\/((-2)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 27*a**2. Let f(q) = -20774*q. What is j(f(d))?\nAnswer: 11652095052*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:24 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2733010544 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4723, -9420, -14117, -18814, -23511, -28208?\nAnswer: -32905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 7*q**2 - 13 + 2*q - 4*q + 21. Let l(w) = w**2 - 9*w + 7. Let u be l(7). Let b = u - -14. What is s(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*l*w*x**2 + 142*l*x**2 + 61*l + w*x**2 - 3*w*x - x**2 + x - 85586 wrt l?\nAnswer: 7*w*x**2 + 142*x**2 + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6254\/590)\/(48\/(-480))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 12:46 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 706 (base 8) to base 2.\nAnswer: 111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 546*t**3 - 230*t + 5. Let c(d) = -545*d**3 + 230*d - 4. Let l(i) = 3*c(i) + 2*n(i). What is the second derivative of l(w) wrt w?\nAnswer: -3258*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*k + 39 = 264, 4*k = 12. Let y = -62 + -20. Let v be y\/(-3) + 4\/6. Calculate the greatest common factor of r and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o + 1775 - 659. Let u = -66 - o. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -457378, -914444, -1371510, -1828576?\n\"Answer: -457066*t - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 6*c - 4. Let s be v(4). What is the units digit of 1\/s + 105\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8315.5 + 8316.1000125. Let d = 0.6 - a. Round d to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39437384 and 26887.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**2\/2 - 10*z - 6. Let k be m(7). Let h be (-3 - -1) + (4 - 6\/3). Sort k, 20, h in descending order.\nAnswer: 20, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -1729454.\nAnswer: -1729456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1047*k. Let j(n) = 3*n**2. Determine j(p(o)).\nAnswer: 3288627*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13 (b) 0.03 (c) 0 (d) 0.2 (e) 112 (f) -186 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*-50*(-55)\/2750?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4746499 is divided by 798?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 2. Let q be d(1). Suppose -w + 3 = 2*l, 0*l + q*w + 6 = -2*l. Suppose 48 = 5*a - u + 3*u, l*u + 3 = 0. Solve -a - 5 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:41 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30252 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*l - 1179*l - 573*l.\nAnswer: -1508*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30.1 + 30.099638. Round w to five decimal places.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 - -137 - (1770\/(-135) + (-1 - 0))\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -34. Let y = 9 + g. Is 13*5 + 10 + y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2799 is divided by 601.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -155 - -154.9645. What is i rounded to three dps?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2.5. Let n = -0.85 + -0.15. Which is the closest to n? (a) 1\/7 (b) -3\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 7) + -35 + 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/497 in 2, -3\/2, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*595\/(-45)*(-1162)\/(-4067)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 63. Let n = 21.945 + 0.055. Let s = n + -23. What is the nearest to x in 3, -3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 50*c - 15. List the prime factors of j(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence alg when three letters picked without replacement from {a: 6, g: 3, l: 1, w: 4, j: 2}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 5*i**2 - i. Let b be l(-5). Let d(z) = 46*z - 7. Is d(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h - 1. Let b(i) = -2*i - 2. Let j(l) = -b(l) + 2*x(l). Let u(o) = -204*o - 2. Determine u(j(p)).\nAnswer: 1632*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78830056?\nAnswer: 2, 61, 67, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-1 + 2) + 1. Let l = -5.03 - -0.03. Let q = -5.1 - l. Which is the nearest to q? (a) -3\/4 (b) y (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274872566 to the nearest integer?\nAnswer: 16579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 - q**3 + 0*q - 3*q - 7 + 0*q - 5*q. Let s = 5 - 11. Is c(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**3 + 6366*w - 9 - 6366*w wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 4*x)*(-3 + 0 + 4)*(-5 + 3 - 3).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i**2 - 2*i - 1. Let x be j(2). Suppose -x*s - m - 2 = 1, -2*s - 4*m = 12. Let y(k) = 2*k. Let v be y(1). Solve s = v*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/8 + 41*q**2 - 2*q. Let x(i) = 7*i + 8*i + 6*i - 15*i. Determine x(w(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4808808577?\nAnswer: 311, 2287, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d. Suppose -2*n - n - 12 = d. Let l be (174\/(-12))\/29*3*-1. Sort l, n, 0.\nAnswer: n, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 18 = -0. Suppose -q*y = y - 42. Suppose 7*u - y*u = 30. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 154024*s**3 + 6472536*s**2.\nAnswer: -2*s**2*(s - 77054)*(s + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 13. Let v = -253 + 260. Let w be b(v). Solve w*n = 7*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(624))\/(sqrt(48)*-2) - (sqrt(3328) - (1*sqrt(3328) + sqrt(3328) + sqrt(3328)))\/(sqrt(4) - -1*sqrt(36)))*5.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -103. Solve -2*y = 3*f - 2 + t, 4*y = -4*f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmxbtke. What is prob of sequence bme?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4172 = -4*i, -8*t - 3129 = -3*i - 3*t. List the prime factors of i.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436 less than 9153?\nAnswer: 9589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/8816 and 70\/171.\nAnswer: 79344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13912865?\nAnswer: 5, 43, 163, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b97 - 3?\nAnswer: b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 232, 418, 506, 448, 196?\n\"Answer: -8*v**3 - v**2 + 245*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 1939 + 1927 = -8*t + 12*t, 3*t = 4*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26081.52 litres?\nAnswer: 26081520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 3*z**2 + 116 - z**2)*(3 - 3 + 2).\nAnswer: 4*z**2 + 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 8*l + 1. Suppose 0 = -4*y - 10 - 6. Let f be h(y). Solve 4*r - 4*x = -3 - 13, 4*r - 5*x = -f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppff when four letters picked without replacement from {s: 5, i: 1, h: 1, r: 5, p: 2, f: 2}.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -43, -96, -187, -328, -531, -808, -1171?\nAnswer: -1632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4472, 8780, 12912, 16862, 20624?\n\"Answer: -n**3 - 82*n**2 + 4561*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157\/15 + 54\/5. Let j be 1 - (-3)\/(-2)*-2. Suppose -4*u + a = 16, 0 = 5*u - u - 4*a + j. Put o, 0, u in ascending order.\nAnswer: u, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195902 is divided by 97814.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119.03377 + -0.06623. Round h to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1740, -1740, -1736, -1728?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2 + 58032*r = 0?\nAnswer: 0, 58032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 7:09 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/14)*i**18 assuming i is positive.\nAnswer: i**(251\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154366 + 222029. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3 - 60*x + 106*x - 37*x - 82*x + 62*x**2 + 4*x**3 wrt x.\nAnswer: 12*x + 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1\/3, 3267, 2.8, -2\/7 in increasing order.\nAnswer: -3, -2\/7, 1\/3, 2.8, 5, 3267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:55 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0*g - 2*g)*(3 - 6 + 2)*(-2 + 1 + 3)*(-65 - 189 + 72).\nAnswer: 728*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31553 + 26*y**3 - 63111 + 30*y**3 + 31558.\nAnswer: 56*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0785? (a) -3 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 515 and 618.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30060 + -31141)*6\/(-46).\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/(-7))\/(-4) + (-35)\/(1715\/(-14)). Solve -m*v - 11 = 9*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40421, 40422, 40423?\nAnswer: 40424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*d + 6*d - 12*d)*(1 - 3*d + 4*d - 5)*(-d**2 - 3*d**2 + 2*d**2).\nAnswer: -50*d**4 + 200*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3900 and 624?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -271*b*f**4 - 3*b + 23 with respect to f.\nAnswer: -1084*b*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 758851 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*g + 4*g + 0*g + (0 - 5 + 3)*(-730*g - 565*g + 946*g))*(-2 + 23*g**2 + 15*g**2 - 9*g**2) to x*g + a + k*g**2 + y*g**3 and give y.\nAnswer: 20184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/350)\/2*1407\/201)\/(4\/(-1370))?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 299\/8313 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*x - 63*x - 12 = -2*i, i + 14*x = -39 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/3)\/((-10)\/(-5)) + 10. Solve 3*n - 4*y + 31 = 60, -x = -n - y for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/(-9)*9)\/((-2)\/(-8)). Calculate the greatest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (268\/(-335))\/((12\/16)\/((-15)\/(-2)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -29*u. Let s(v) be the first derivative of v**3 - 2*v**2 + 4*v - 142. Let f(o) = 7*o**2 - 10*o + 10. Let w(q) = 4*f(q) - 10*s(q). Determine w(c(l)).\nAnswer: -1682*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*v + 23, 0 = 4*k + 2*v - 374. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ata when three letters picked without replacement from nksxnkxnatkxtax?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 85*l - 4853. Give c(57).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*t - 1 - 368*t + 1 - 377*t to v + i*t and give i.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.190239 meters in nanometers?\nAnswer: 2190239000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 1, -3, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (8 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 l, and 1 x when three letters picked without replacement from {e: 1, q: 1, l: 1, w: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -5*z**5\/22 - 65*z**4\/33 + 116*z**3\/33 - 24*z**2\/11 - 175*z + 2. Factor v(t).\nAnswer: -2*(t + 6)*(5*t - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 129, 1\/4, 5.\nAnswer: 1\/4, 1, 5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79784690 and 1370.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*t**2 + 23*t**2 - 1 + 6*t + 8*t - 14*t.\nAnswer: 96*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -31*q**2\/2 + 2*q - 116. Let w(j) = 3*j**2 + 544*j - 1086*j + 542*j. Calculate w(m(d)).\nAnswer: 2883*d**2 - 372*d + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g. Let f(x) = 5*x - 22276. Calculate f(z(y)).\nAnswer: 25*y - 22276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1231 + 420067?\nAnswer: 421320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 equal to -36.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*z + 2 - 25 = 0, 2*z = -4*i + 22. Suppose -s = i*f - 126, -3*f + 6*f - 77 = -2*s. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 243, 237, 227, 213, 195, 173?\n\"Answer: -2*g**2 + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h + 4*y = -5, 3*y - 3 = 0. Which is the closest to 1? (a) h (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273 and 18564?\nAnswer: 18564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y + 126. What is p(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llcllclllllcclcllcct. Give prob of sequence ltcc.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -24. Suppose 0 = -f + 5*f - o*n - 32804, 0 = -f - 2*n + 8201. Is f\/9 - (-2)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52074990 to the nearest integer?\nAnswer: 7216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 0.5952?\nAnswer: -0.8952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 303037\/11075 - 684\/25. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 4166 - 2753. Suppose 2*f = -5*y + 8*y - u, 4*y - 1884 = -3*f. What are the prime factors of y?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2961 and 2224593.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1163181\/506924 + 10\/11521. Find the common denominator of -6\/11 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/30*(-2)\/8*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:41 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1637800 times -269\nAnswer: -440568200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**4 - i + 2*i**2 - 5*i**2 + 4*i**2 - 18*i**4 - 63*i**4 as n + t*i**3 + k*i**2 + o*i + p*i**4 and give p.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/538323 or 0?\nAnswer: 4\/538323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3922557 or -3922670?\nAnswer: -3922670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44701160 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -163*o**2 + 5*o - 107. Let t(y) = -3 - 3 + 2*y - 4 - 55*y**2 - 26. Let z(m) = 3*q(m) - 8*t(m). What is the first derivative of z(n) wrt n?\nAnswer: -98*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 684 from 5.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*t + 1087*t + 718*t - 41002 = -1655*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.453 times -10.6?\nAnswer: -216.8018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 10:34 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5*p = -33, i = 3*p + 2*p + 21 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d + 38. Let y(z) = 6*z + 38. Determine -5*a(c) + 6*y(c).\nAnswer: -9*c + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/6 - 1309*u\/6 - 2808.\nAnswer: -(u + 13)*(u + 1296)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 5*f + 11, 4*f + 13 = -i - 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 - 28. Let h = 9558.06 + -9558. Which is the fourth smallest value? (a) h (b) -0.3 (c) g (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/23)\/(6 + (-88)\/20). Let u = -6\/23 + p. Which is the closest to 1\/4? (a) 0.05 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -31. Let m(g) = -b*g - 1 + 25*g + 1. Let v(y) = -3*y + 4. Let z(k) = -5*k + 7. Let r(i) = -7*v(i) + 4*z(i). Calculate r(m(f)).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8614 is divided by 1055.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 30 = 2*k. Suppose -10 = 3*w - 2*i + i, 5*w + i + k = 0. Let p = -23 + 22. Put w, p, -3 in ascending order.\nAnswer: w, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*n + 758290 - 1851030 = 7653708. What are the prime factors of n?\nAnswer: 2, 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x + 8. Let f(t) = -t + 1. Give 18*f(q) - 2*w(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3212486 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011100101111100 (base 2) in base 8?\nAnswer: -134574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 126. What is the first derivative of -129*o**2 + 55*o**4 + 129*o**2 - 10*o**4 + v wrt o?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 22. Suppose z*o - 5*o - 12 = 0. Let b be 1\/((-4)\/o) + 1. What is the smallest value in -2\/9, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 1, 0.4, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 + 22*v + 1. Let r be o(3). Suppose -2*w + 68 = 2*s + 2*s, -r = -s. Calculate the remainder when 72 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b + 138*b + 437 - 2111 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 - 2*d + 1. Let k be y(1). Suppose z - k = -z. Suppose -5*i = -w - 3*w + 8, -i = -w + z. Which is smaller: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = n, -5 = -4*x - 5*n + 25. Suppose -167 = -x*l - 3*d, 66 = l + l + d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10210309 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7506148 and 260.\nAnswer: 37530740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 15\/6)*0. Suppose 3*v - 2*q - 15 = 0, v + 4*q = -7 - 2. What is the second derivative of h*a**v + 16*a + 8*a**3 + a wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 divided by -54.\nAnswer: -163\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -13*j + 7. Let i be v(4). Let s be -23*1\/(-5) - 18\/i. What is the second derivative of -25*x**s + 67*x**4 - 67*x**4 + 9*x wrt x?\nAnswer: -500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) - 68\/(-12). Let w be (x - 0)*(-2)\/5. List the prime factors of (3\/6)\/(w\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 0 + 4*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27062*t**3 + 1587*t - 2085*t**5 + 27062*t**3 wrt t.\nAnswer: -41700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 26*o**3 - 29 + 22*o - 10 - 6 - 27*o**3 + 17*o**2. Does 4 divide m(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvxh when four letters picked without replacement from joojoodddvodhxo.\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 8:18 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsjjjjjjtjstb. Give prob of sequence jjb.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -12.7.\nAnswer: -1.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/4 - 501130*k**4 - 1339365473785*k**3\/4 - 149153971434705445*k**2\/2 + 149154975960815305*k - 74577655401593006.\nAnswer: -(k - 1)**2*(k + 668174)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 4*o**2 - 2*o. Let b be x(-2). Suppose 5*y + 2*z - 345 = 0, -b*y + 4*z + 276 = 5*z. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1630.16128 rounded to one decimal place?\nAnswer: -1630.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13199 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5895109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o - 4. Factor 3 + 4*v**3 - 2 + 4*v + 0*v + 6*v**2 - v**4 + o*v**4.\nAnswer: (v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -238, -334, -432?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*z + 250*z + 2*m - 31 = 0, -42 = -2*z - 4*m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399 + 185 - 49*c**3 + 210.\nAnswer: -49*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 15. Let f(u) be the second derivative of u**5\/20 - u**4\/3 + u**3\/6 - 2*u. Give f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 55. Let o = 27.87 + j. Round o to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 6)*(-6 + 7 + 10)*(-u**2 + 4*u**2 - u**2)*(2*u + u + 3*u).\nAnswer: -132*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-11)*-2926*(-160)\/31920.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6 = 7*s. Suppose 0 = s*y - 0*y - 192. What is the highest common factor of 1536 and y?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 87481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 - 8898*f**2 - 5335*f + 3558 = 0. Calculate f.\nAnswer: -1779, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 345 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -23*q**2. Let a = 33 + -31. Let b be 6 + (-3 - (-5 + a)). Let j(y) = -b*y + y + 3*y + 0*y. Determine w(j(o)).\nAnswer: -92*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367637591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -694 (b) 0 (c) 0.3 (d) -25 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(6\/13)*t**36*t*t*t**(-14)*((t\/t**(1\/9))\/t)\/t assuming t is positive.\nAnswer: t**(2732\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**2. Let p(l) = 399*l. Determine p(k(j)).\nAnswer: -2394*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*q + 29 = 0, z + 40 = -4*z + 5*q. Let r(i) = i**3 + 9*i**2 - i - 10. Let w be r(z). Let b(v) = v + 1. Let m(f) = 3*f. Give w*m(l) + 4*b(l).\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6168405659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16298083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 108791.226 to the nearest 10.\nAnswer: 108790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2. Let d(i) be the third derivative of i**7\/504 + 13*i**5\/15 - 3*i**2 - 10*i. Let o(c) be the third derivative of d(c). Calculate o(v(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25 - a953?\nAnswer: -a978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/355912 and 41\/16?\nAnswer: 711824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence babb when four letters picked without replacement from bhbhhhbhhbbbbahhhaa?\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110389\/6 or 1\/3?\nAnswer: -110389\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 10010120?\nAnswer: 10010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*48*(-1275)\/(-19584).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3 + 144*a*q - 1047*q + 3 wrt a.\nAnswer: 3*a**2 + 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110869816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 48.3103 and 0.1108?\nAnswer: 48.1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 659 divide 8305377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.133 - -0.392. Let q = k + 86.375. Round q to the nearest integer.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqqhzephhhq. What is prob of picking 1 z and 1 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n. Let t(f) be the third derivative of -f**4\/24 + 37*f**3\/6 + 5*f**2. Does 15 divide t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -184*z**2 - 36*z + 9. Let u(l) = -735*l**2 - 140*l + 35. Let w(g) = 35*n(g) - 9*u(g). Let o(r) = -40*r + r**2 + 40*r. Give o(w(v)).\nAnswer: 30625*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5676 and 17039.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/27 and -85\/1044.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -51*n**2 - 2752*n - 255. Determine b(-54).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 664716*r**2.\nAnswer: -4*r**2*(r - 166179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 7. Let s(z) = -3*z - 7. Give -4*f(h) - 3*s(h).\nAnswer: h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 9037975?\nAnswer: 9037975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**3 - 3*g**2 + 35*g - 32. Determine o(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449 is divided by 728?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**5\/20 - m**4\/4 + 2*m**3\/3 - 2*m**2 - 2*m - 1. Let c(q) be the first derivative of f(q). Calculate c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**4*w)\/w*w\/((w**(-2\/15)\/w)\/w))**(-31))**(-1\/5) assuming w is positive.\nAnswer: w**(3317\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/(-56))\/(21\/(-24)). Let y = 547\/380 - 3\/76. Put y, r, 0, 1 in decreasing order.\nAnswer: y, 1, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 675058509 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.74 - -0.74. What is the closest to -1 in p, -2\/17, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/55)\/w*w**(-2\/21) assuming w is positive.\nAnswer: w**(-1223\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.4 and -2.3.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5596 from -0.06425.\nAnswer: -5596.06425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, 1, -0.6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 14050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*c + 1 = -61*c. What is the smallest common multiple of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 149729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 147 = 2*r, -129 = -2*r - 3*m + 6*m. Is 23 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 15) to base 2.\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001010 (base 2) in base 14?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 469 = -5*n, 346 + 53 = 4*n - 5*h. Solve 38*l - 61 = n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 26\/12327 (c) -4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 74*q - 97. Let t(y) be the second derivative of 24*y - 4\/7*y**2 - 2\/7*y**3 + 0 - 1\/21*y**q. Factor t(d).\nAnswer: -4*(d + 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 14*i**2 - 15*i + 30. Let h be r(13). Suppose -5*w + w = -2*n + 360, 0 = 5*n - h*w - 888. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*y = -30*y + 6*y - 1400 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969003428 a multiple of 2292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + (-28)\/(-6). Suppose 0 = z*f + 4*b, 4*f + 5*b = 8*f - 36. Suppose -243 - 1935 = 3*t - 4*r, -4*t - f*r - 2932 = 0. Round t to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*j = -0*x + 190, 0 = 3*x - 3*j - 96. Calculate the remainder when x is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550 divided by 25?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0804 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -61 + -103 + 106.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3406 + -1118. Suppose -k = 3*g - 2308, 0 = 3*g - 2*k - 2*k - c. Let z = g - 547. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*u - 36 = -8, -5*r - 20 = -3*u. Let v(o) = -o + 4*o - 6*o - o. What is v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*h - 2*h. Suppose -h = -4*q + 12. Let p(i) = 2*i**2 + 0 - 6*i**2 - 6*i + 7. Let z(y) = 3*y**2 + 5*y - 6. Give q*z(t) + 4*p(t).\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f - 1. Is 10 a factor of p(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-3)\/15*2). Let p(m) = -m**2 - 4*m + 10. Let u be p(i). What is the remainder when 46 is divided by 15*(u - 4) + -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -434?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -179*v - 372. List the prime factors of z(-14).\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3098697722?\nAnswer: 2, 73, 21223957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 25.4*0.26\nAnswer: 6.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 4*j**2 + 4*j - 5. Let o be a(-5). Let z be ((-6)\/9)\/(1417\/39 + 4). Which is greater: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 5*p - 4. Let o be h(1). Suppose 2*d**3 + 81*d + 6*d - 24 - o*d**4 - 12*d - 81*d**2 + 31*d**3 = 0. Calculate d.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z - 859 = -1023 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2\/13 - 615220*t\/13 + 227357600\/13 = 0?\nAnswer: 370, 307240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191195.\nAnswer: 3, 5, 103, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) + 8\/5 - 1. Solve -p - 2 = s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 45 - 17 - 22 - 15. Let r(g) = -3. Let w(y) = -2*r(y) + v(y). Let a(d) = d**2 - 1. Give -3*a(i) + w(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 = 2*u + 7*j, 5*u + 4*j = 7. What is the highest common divisor of u and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-14))\/((-13)\/((-312)\/18))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 77*m + 53. Let x be l(0). Put x, 1, 25 in descending order.\nAnswer: x, 25, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4143 + 4138. Which is the second biggest value? (a) 2\/9 (b) m (c) -2\/9 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*b - 53 - 7881 = 9748 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = 10*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 7*t**2 + 5*t + 9. What is h(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1543578*a**2*p**2*z + 8863915*a**2*p*z**2 + 2*a*p*z**3 + p**2*z**3 wrt p.\nAnswer: -3087156*a**2*z + 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2731 - 2726. Solve -7*w = -n*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3870367 is divided by 143330.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47.08 + 46.68. Let y = -0.17 - -0.87. Let a = y - 0.4. What is the fourth biggest value in -3, a, 1\/4, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17590 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62215.54 litres?\nAnswer: 62215540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 571.327 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(8\/5)*r)\/((r*r**14)\/r))\/((r\/((r**(-10)*r)\/r))\/(r\/r**(-2))))**(7\/3) assuming r is positive.\nAnswer: r**(-679\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 0 + 0*o**3 + 0*o**2 + 1\/12*o**4 + 2*o. Let t(n) be the third derivative of -n**4\/24 + 4*n**2. Give t(k(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j. Let l(u) = 5*u. Calculate -3*a(c) - 5*l(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -2*d + 6*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, 2\/7, -1, 72939?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -124 + 109, -3*h + 8869 = 4*a. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 7.7. Let u = 3283.8 - 3285.8. Which is the second smallest value? (a) 1 (b) l (c) 8 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5577, 22287, 50139, 89133, 139269, 200547?\nAnswer: 272967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 291 - 3. What is the remainder when l is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -664668? (a) -0.07 (b) 5\/9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 + 20*u**2 + 7*u**2 - 13*u**2.\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14402, -14187, -13834, -13343, -12714, -11947?\nAnswer: -11042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17660 + -35726?\nAnswer: -55606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(-2\/5)\/c))**28\/(c\/(c\/(c*(c*c\/c**(-1))\/c)))**42)**23 assuming c is positive.\nAnswer: c**(-3542\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*b + 791, -5*h + 3*b + 2530 - 619 = 0. What is the greatest common factor of 1674 and h?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17384940 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1265027029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*x - 24. What is the third derivative of -19*t**4 - 7*t**2 + 52*t**4 - 6*t**x wrt t?\nAnswer: 792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2098, -8383, -18858, -33523, -52378, -75423, -102658?\nAnswer: -134083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9172 (base 12) to base 15.\nAnswer: 4a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7260492 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*3*(sqrt(3500)*1 - sqrt(3500)))\/(sqrt(135)\/(sqrt(12)\/sqrt(4))*1))**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -10*h**2 - 2*h + 1. Let l(u) = -12*u**2 - 3*u + 2. Give -6*l(d) + 7*z(d).\nAnswer: 2*d**2 + 4*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -27. Let g be 2 + (-2 - (-160)\/z). Let j = g - -43. Let y(n) = n**3 - 5*n**2 + 4*n + 1. Calculate y(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 83*j**2 + 3*j + 1. Let c be b(-1). Calculate the greatest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 345 (base 10) to base 4\nAnswer: 11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3*y**3 - 14688*l + 489*y**3 + 2*y - 6 wrt l.\nAnswer: -6*l**2*y**3 - 14688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - c**2 + 1. Let m(i) = 7*i**3 - 8*i**2 - 3*i + 9. Let l(b) = m(b) - 6*n(b). Give l(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214.999712 + -215. Round r to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22474 - 80194.\nAnswer: -102668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*p**2 - 156*p**2 + 647*p**2 - 164*p**2 - 156*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 144916666 a multiple of 1154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 23*z - 77. Let c be q(26). Solve 3*n = -p + c, p + 8 = 4*n - p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/20 - 1\/(-4). Let d = -41\/70 - -3\/10. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -0.1, 1\/6, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:40 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(5*q - 2*q - 2*q)*(3 + 3 - 4).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -370.7976 - -371. Let z = k + -0.2. What is z rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967 smaller than -8\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/8 + h**3\/6 + h**2\/4 - h\/2 + 3. Let x(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2914)\/7285)\/(-1*(-1)\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94482324 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5. Let x(q) = -q + 4. What is -5*o(j) - 6*x(j)?\nAnswer: 6*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -20\/7 (c) -4 (d) -3 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - z**2 - 8014*z + 2*z**2 + 3*z**2 + 8014*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 = 6. Let u(v) be the first derivative of 0*v + v**2 - v + 0 - 3 + 0*v**f. Give u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2 - 40*b + 60 = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22556123 rounded to the nearest 100000?\nAnswer: 22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -a37?\nAnswer: a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37743702544 and -1.557.\nAnswer: 37743702542.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let g be a(-1). Let w(b) = 2*b + 4*b - 7*b**2 - g*b - 5. Let u = -2 + -3. Let y(l) = -6*l**2 + 3*l - 4. What is u*y(s) + 4*w(s)?\nAnswer: 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000112436 rounded to six dps?\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277680 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 111020003 (base 4) to base 12\nAnswer: 420ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 - 5*x + 6. Let z be v(3). Let a be (-4)\/(-2)*78\/4. Suppose 0 = -b - z + a. Solve -b*q + 7 - 24 = -n, -2*q = 8 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2259.7 and -0.03.\nAnswer: 67.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/25)\/o*o)\/o**5)\/((o\/o**(-2\/23))\/o**(1\/5)))\/(o\/(o\/(o*o**(1\/2)))*o**(-7)*(o**(2\/3))**(-25\/3)) assuming o is positive.\nAnswer: o**(54323\/10350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3268 = 3*o + 7*x, -3*x + 1084 = o. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112208 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 0 (b) -1\/29 (c) -1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -194, 4 in increasing order.\nAnswer: -194, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-156)*6 - (-5)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o + 23. Suppose -5*x + 91 = -4*y - 125, 2*y - 32 = -x. Let f be (x\/(-30))\/(2\/15). Is r(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*3*24\/(-90))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lilneklllnn. Give prob of picking 1 l and 1 n.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(80)*-5 + sqrt(40)\/sqrt(8) + -5)**2.\nAnswer: 38*sqrt(5) + 1806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.915 - 3.825. What is the closest to r in 1\/3, 11, -22, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*n + 330*n - 5535 = -111*n - 384*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -2, 0.1, -2\/55?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-15 + 4) - (-1 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + i - 2)*(4 - 2 + 0)*(2 - 2 + 3) + (3 - 4 - 1)*(3*i + 3*i - 4*i) + 30*i - 3 - 9 + 9.\nAnswer: 32*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 9*y + 25. Let n be h(-11). What is the closest to 1 in n, -20, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144596, -289399, -434622, -580475, -727168, -874911?\nAnswer: -1023914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/9)\/g)\/g**(-11)*(g**(2\/5)*g*g)\/g**(-1) assuming g is positive.\nAnswer: g**(613\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -1\/70*t**7 + 0 - 1\/2*t**6 - 625\/2*t**3 - 18*t**2 - 125\/2*t**4 + 0*t - 15\/2*t**5. Let m(a) = 0. Calculate a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 7*o**2 + 17*o + 16. Let v be w(12). Let b = v + 504. Solve 4*m + 8 = 5*i, -4*m + 3*i = i - b for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*y - 180 = -196, 17 = 5*t - 2*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21626.74 nanograms in milligrams?\nAnswer: 0.02162674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/5 + 8649*z**2\/5 - 25974*z\/5 - 155736\/5 = 0.\nAnswer: -8652, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 904 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(2 - 0)\/((-175)\/(-10))*183204\/353322?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*x**3 + 5*x**3 + 3*x**3)*(-5*x + 3*x + x) - 5*x**4 + 3*x**4 + 3*x**4 + (-2*x + 2*x - x**2)*(x**2 + x**2 - 3*x**2).\nAnswer: -21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 146469744487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - ((-50)\/(-4))\/(-5). Let v = -0.18 - -1.98. Let j = 2 - v. What is the second smallest value in j, g, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1423800 and 71\/48377560?\nAnswer: 2176990200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1451366 < -1451367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w\/(w\/w**(1\/5))*w)\/(w**(-7)\/w*w*w\/(w*w*(w\/w**(4\/5))\/w*w)) assuming w is positive.\nAnswer: w**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*-5087982.\nAnswer: -763197.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)*k\/((k\/k**(-1)*k)\/k)*k)**(1\/45)\/(k\/(k*k**1)*k*k**(1\/3)*k*k**1*k*k**(1\/9)\/k) assuming k is positive.\nAnswer: k**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 22*d + 4*d - 28*d - 28, -6*j + 32 = 2*d for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 7\/20*p**5 - 1\/6*p**4 + 10*p - 1\/3*p**3 + 1\/2*p**2 + 0. Let j be i(2). What is the highest common divisor of 27 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 34 = -0*t - 3*t, 2*u = 5*t + 36. Let r = t - -26. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/10)\/((-10)\/50). Let j(k) = 9*k - 26. Let r(f) = -3*f + 9. Let a(v) = -2*j(v) - 7*r(v). What is the units digit of a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/3)\/(h\/h**(-2\/37)*h))**1\/(h**6\/h*h**(-9))**(-40) assuming h is positive.\nAnswer: h**(-17729\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {z: 1, b: 2, e: 5, j: 1, s: 2, h: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(((-10)\/(-4))\/5). Suppose -v = -2*m - 10. Let l = 14 - 1. Calculate the remainder when l is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -17*p. Let o(g) = -16390*g. Give m(o(c)).\nAnswer: 278630*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12021210 (base 3) in base 16?\nAnswer: f0f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**3 + 6*m**2 - 11*m - 12. Let q be i(10). Suppose 3596 = 4*p - n, q = 5*p - n + 4*n. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15422*k - 15403*k + 437 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 633 - 629. Let t be (z\/32)\/(4\/96). Solve -27 = 3*d - 4*g, 4*d - t*g = -2*g - 23 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.7, 4, -0.1, 47890, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/45 - 56\/(-5). Let t(l) = l**3 - 12*l**2 + l - 13. Give t(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 32 = p - 3*v, -4*v = -16. Calculate the remainder when 9 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/o**(-16)*o)*o)\/o*o*o)\/o**(-12\/7)*o\/(o**(7\/3)\/o)*o*o*o**(-6\/7)\/o assuming o is positive.\nAnswer: o**(-262\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxrxxxxxxh. What is prob of picking 2 x and 1 r?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/4 + 5*t\/2 + 6 = 0. Calculate t.\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43*-11 + 3\/(-3)*1. Let k = -219 - q. What are the prime factors of k?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.1, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23 + 27 + 41*o**5 - 50 + 22*o wrt o?\nAnswer: 820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, r: 2, d: 4, h: 3, u: 4}. What is prob of sequence gd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*q - 3*q + 6*q + (4*q - 4*q + q)*(4 + 0 - 5) - 1 + 1 - q + 2*q + 0*q - 5*q + (2 + 4 - 2)*(2*q + q - 7*q).\nAnswer: -53*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 13*f + 14. Let h = -3 + 15. Let r be d(h). Let g be 13 - (2 + r + -3). Solve -a + g = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -3. Suppose 11*d + 25 = 6*d. Let t = d + 86. What is the highest common factor of w and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 1. Let v(w) = 2*w. Let i(g) = 5*d(g) + v(g). Let f be i(4). Let q = f - -3. Which is the nearest to 0? (a) 3 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**8\/1008 - 2*f**7\/105 + 3*f**6\/20 - 28*f**5\/45 + 35*f**4\/24 - 2*f**3 - 30*f**2 + 3. Let o(b) = 0. Calculate b.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -284*l + 1 + 5 - 2*l**3 + 284*l - 2*l**2 in the form r*l + i*l**3 + x*l**2 + p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v + 22. Let p be d(-8). Solve p*b - 8*b = 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 d when three letters picked without replacement from ysfyssdddfsslsd.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -49*u - 22. Let l(w) = 14*w + 6. Let d(j) = 22*l(j) + 6*q(j). Let h(t) be the second derivative of -2*t**3\/3 - 3*t. What is h(d(g))?\nAnswer: -56*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 2. Suppose 4*k - 3*q = 3, 4*k - 5*q - 5 + 0 = 0. Suppose -39*f + 36*f = k. What is b(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23134 + 23270 - (-3 - -3 - (-3 - 2))\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -3036144?\nAnswer: 37\/3036144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 13 = -j, -l + 3 = -1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585308696*5.\nAnswer: 2926543480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 4*j**2 - 4*j**2 + 0*j + j**3 - 3. Suppose -5*z + 3*f + 9 = -40, 2*f = 5*z - 46. Let w be m(z). Which is smaller: 7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*l - 18 = 0, -141*m + 3*l - 12 = -144*m. Let s = 5.79 + 0.21. Which is the third biggest value? (a) -0.1 (b) s (c) m (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3548, 3546, 3544, 3542?\nAnswer: 3540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1120301 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccay when four letters picked without replacement from {c: 6, y: 3, g: 3, a: 1, w: 3, d: 1}?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50e1 (base 16) to base 14.\nAnswer: 778d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -375385155*q**3 - q - 44384786 wrt q.\nAnswer: -2252310930*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**2 + 104*i**2 - 27*i**2 - 30*i**2 - 25*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*u**5 - 65*u**5 - 63*u**5)*(1 - 2 - 1).\nAnswer: 404*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799?\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -71203 plus 8?\nAnswer: -71195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/((-2)\/6). Suppose 5*r = -r + 408. Let s be 17\/r + (-15)\/(-4). What is the nearest to f in -2\/9, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.732 decades to centuries.\nAnswer: 7.4732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212120200100 (base 3) in base 5?\nAnswer: -223324310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 3*a - 2. Give m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732 = 7*d - 9*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -205*f - 38*f + 23085. Which is the second smallest value? (a) 1\/9 (b) -1\/3 (c) f (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**3 - 4*y**3 - 2*y**3)*(1521 + 1259 + 3637 + 3644 + 2595)*(1 - 3 + 1) to o*y + m + f*y**3 + t*y**2 and give f.\nAnswer: 50624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/3, 1.1, -4 in descending order.\nAnswer: 1.1, -1\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = 2*m - 12*m. Let w be (m\/(-3))\/(4\/(-18)). Let f = 60 - w. Solve f*r + 1 = r - n, -4*r - 2*n + 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(50) - (2 + sqrt(288))))*6.\nAnswer: -42*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -1 - 8\/(-4). Suppose -x*t + 10*t - 48 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3 + 7913941*j**2 = 0.\nAnswer: -7913941, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -12424051?\nAnswer: -12424050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**7\/r*r\/((r*r**(-1\/10)*r)\/r) assuming r is positive.\nAnswer: r**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/536 at most as big as 143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19269, -19268, -19265, -19260, -19253, -19244?\nAnswer: -19233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -57?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -316.2015 rounded to 1 dp?\nAnswer: -316.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = -39*y + 39 - 97 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2413555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42283, 85164, 128641, 172714, 217383, 262648?\nAnswer: 308509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2807 is divided by 545?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 93138\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17338*m**3*t + 23*m**3 - 5*m**2*t + 411225*m**2 - 3*m*t + 5*m + 2*t wrt t?\nAnswer: 17338*m**3 - 5*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21195627241 and 2.402?\nAnswer: 21195627243.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, e: 1, i: 3}. What is prob of sequence ttii?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -911677068*z**4 + 1201*z - 31423?\nAnswer: -10940124816*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.407499 - 3.\nAnswer: 3.407499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*-1*sqrt(720)*2)\/(5*sqrt(36)*5*-5).\nAnswer: 4*sqrt(5)\/25 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - y + 49. Suppose 0 = 4*g - 0*g - 29 + 57. Calculate j(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h + 14. Let j(z) = -2*z - 5*z - 10 - 4*z. Is j(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8988462.3 from -2496751.\nAnswer: -11485213.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 p when four letters picked without replacement from {s: 2, y: 1, a: 2, b: 2, f: 8, p: 4}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2\/5 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20945, 41747, 62473, 83117, 103673, 124135, 144497, 164753?\nAnswer: 184897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1212, 2409, 3610, 4815, 6024?\n\"Answer: 2*x**2 + 1191*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-21)\/(-1))\/((-30)\/(-80)). Suppose -f*y = -193610 - 8382. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7357669791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from {q: 2, c: 10, p: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*t + 150, 2*t + 51 = d + t. What is the tens digit of 3172\/18 - 12\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*-2*1*(-3)\/(-6). What is the third derivative of 21*x**4 - 6*x**d - 2*x**4 + 4*x**4 wrt x?\nAnswer: 552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o + 55. Let n be a(0). What is the highest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006058 rounded to 5 decimal places?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -14*i + 33 - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 13966.\nAnswer: 83796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -9 + (-1 - -3) + 2 + 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19698, -39322, -58944, -78564?\nAnswer: -98182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000244 rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f = 0. Let l be ((-4)\/(-30))\/(7\/140) + -3. What is the third smallest value in 2\/9, f, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((34 + (-5520)\/161)\/6)\/((-2)\/(-24)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37920 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/7)*h**(7\/4) assuming h is positive.\nAnswer: h**(57\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 7896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/3)\/((-2)\/6). Let x = 31 + -47. Let b = v - x. What is the remainder when 34 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42768778 minus 7?\nAnswer: -42768785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195924 is divided by 326?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-440))\/(21\/28).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + y = -14 - 39, 0 = y + 1. Suppose -12*c + 11 = -p. Suppose 60 = c*o - 62. Calculate the remainder when o is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*q**4*y + 465*q**3*y - 2*q**3 + 5*q**2 + 183*y wrt q.\nAnswer: -144*q*y + 2790*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/(-4*4\/(-64))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 28469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.18592114 to 1 dp.\nAnswer: 107.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 68244 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: Evaluate ((-179292)\/9812)\/(9\/33).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/131877538 and 47\/747?\nAnswer: 1186897842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f\/(f**4\/f))\/(f**(-3\/5)*f**2\/f*f) assuming f is positive.\nAnswer: f**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 + p**4 - 3*p**3 + (-2*p - 4 + 4)*(p**3 + p**3 - p**3) - 4*p**4 + 6*p**2 - 6*p**2.\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/4 - 9*m**3\/4 + 31*m**2 - 51*m.\nAnswer: -m*(m - 6)*(m - 2)*(m + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 3*t - 2. Let f be q(2). Let z(s) be the third derivative of 1\/24*s**4 + 0*s - 4*s**2 + s**3 + 0. Calculate z(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*f - 27 = 0, -p - 8 = 60*f - 57*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 765664, 1531356, 2297052, 3062752, 3828456?\nAnswer: 4594164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471 is divided by 163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**8 - q**5\/5 + 97*q**4\/6 + 4*q + 12. Find the third derivative of c(n) wrt n.\nAnswer: 6720*n**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 1. Let y(f) = -4*f**2 - 3. Give -6*y(l) + 13*z(l).\nAnswer: 11*l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008537 rounded to 5 decimal places?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5724 and 64692?\nAnswer: 3428676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t + 2*t)*(-t + 0*t + 2*t)*(2*t**2 + t**2 - t**2) - 31*t**4 - 2*t**4 + 5*t**4.\nAnswer: -26*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, c: 7}. Give prob of picking 3 j.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one third of a hour in minutes?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -371940 + 43482 = -78*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 1885*l - 11218. Determine g(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 5*k**2 + 5*k. Let c be d(6). Let g(m) = 56*m - 35*m - 24*m + 30. What are the prime factors of g(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 - 28. Suppose 4*l = 6*l - z. Let n be 14\/(-18) - l\/45. Which is the closest to 2\/9? (a) 1\/4 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 12 = 2*x, -576 = -f + 5*x - 552 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -25\/608 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (28 - (-34 + 59))) + (-1 - 95)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3406*r**2 - 3404*r**2 - 3374*r**2 - 3402*r**2 - 3408*r**2 + 16994*r**2 - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 6*z**2 + 6*z - 58. What is x(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -703 times 876.9?\nAnswer: -616460.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*m = -336*m + 12*m - 5880 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 321\/(-108) + 34*9\/1377. Let h = -5 + 4.6. What is the third biggest value in h, a, -9, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i**2 + 2*i + 3. Let a(t) = -5*t + 15*t**2 - 102 + t**2 + 2*t + 98. Give -2*a(d) - 3*u(d).\nAnswer: 13*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 598894 and 6.3.\nAnswer: 3773032.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*i**2 + 63*i**2 - 368*i**2 - 497*i**2.\nAnswer: -639*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-2 + 3 - 2)*(-q + 2*q - 2*q)*(0*q + 6*q - q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2. Let o(j) be the first derivative of j**2 - 29. Calculate w(o(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385631 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-20)\/4)\/((-1)\/5). What is the biggest value in l, 0.4, -1\/3, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 16*z - 1778. Let x(n) = n**2 + 11*n - 1778. Determine 2*o(c) - 3*x(c).\nAnswer: -3*c**2 - c + 1778","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4)\/105*75\/10?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51\/205 + 37461\/2255. Let g = b - 1238\/77. Let y be (-6 + 9)*(-2)\/(-6). Is y equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260.2 - 293. Let q = 32.86 + j. Which is the third smallest value? (a) q (b) -2 (c) 0.07 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110010111101111 + -10111100111011?\nAnswer: 100011011010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5346 is divided by 1086.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -77. Let k be (-540)\/480 + (-315)\/(-24). Calculate the highest common factor of p and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -105?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41583 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k + 371 - 220 - 209 + 12*k. What is b(12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/11 (b) -1724 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237900 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (45\/135)\/((2\/222)\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1965 is divided by 489.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -24.266 (c) 4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30554 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1946*k**2*n**3*z**3 - 56*k**2*n**3*z**2 - 14*k*n**3*z**3 + 4*k*n**2 + 2*n**3*z**2 + 15*n*z**3 - 393*z**3 wrt k?\nAnswer: 3892*n**3*z**3 - 112*n**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 2*k + 3*k + (-3 + 1 + 1)*(k + 0*k - 3*k) - 2*k - k + 4*k + 5*k - 2*k - 4*k + 4*k - 3*k + k)*(-k**2 + k**2 + k**2).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 7*f**2 + f**3 - 5*f**2 + 14*f**2 + 5 to u*f**3 + v + g*f + m*f**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((-5 + sqrt(272))*5 - sqrt(272)) + (sqrt(272) - (-5 + sqrt(272)))*-4) + 4)**2.\nAnswer: -13344*sqrt(17) + 58489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11474 - -19390. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 4 - (-9 + 3 + 7)) + 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 + 100. Sort -3, 0.7, f in descending order.\nAnswer: 0.7, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/(-119)*(-35)\/80*2040\/(-45).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -9752?\nAnswer: 1\/9752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171) + sqrt(171) + -1 + 4*sqrt(171) + 0)**2.\nAnswer: 108*sqrt(19) + 6165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**3 - 18*o**2 - 28*o + 589. Is s(36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27\/68 + -11\/68. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23639 by -19841.\nAnswer: -23639\/19841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 18*z**3 - 36*z**2 - 13 + 45 - 32.\nAnswer: -18*z**3 - 36*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.57 + -35. Let f = i + 0.429868. What is f rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*b**2 - 12*b**3 + 13*b**3 - 94*b**2 - 18*b**3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**3\/7 + 241182*g**2\/7 + 7270974048*g\/7 - 7271215232\/7 = 0.\nAnswer: -60296, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m = -19*m - 24*m + 3740. Calculate the remainder when m is divided by 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 + 45. Let f = 1.15 + -1.2. Let g = -0.35 + f. Which is the second biggest value? (a) -3\/2 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/21291 and 8\/1359.\nAnswer: 63873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -220 (b) 2\/5 (c) -0.2 (d) 1\/9 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -l - 15*u + 16*u, -l + 24 = -4*u. Calculate the lowest common multiple of 2 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + (3 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1458 - 1586 - 368 + 19 - 53)*(4 - 3*q - 4).\nAnswer: 10338*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbccdicidbcbidb. What is prob of sequence diic?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39036 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -5233.\nAnswer: -52330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = -29*o + 2520. Let q = -127 + o. Calculate the remainder when q is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 8*u**3 - 3*u**2 + 2*u. Let m be o(1). Let r be (-2 - 8)*(-15)\/6. Let j = r - 15. Solve m*b = j*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p - 3*n + 13, 2*p = -4*n + 14. Suppose p = -5*u - 5. Calculate the remainder when 172 is divided by (25\/u)\/(13\/(-26)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 753 - 155. Suppose -5*k = -k - 2*n - i, -3*n - 601 = -4*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b = 3*v - 85*b - 23, v - 4*b = -11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 6 = 24*r - 61*r, 0 = -11*f - 2*r + 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21100 (base 4) in base 13?\nAnswer: -367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15134083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 2*i + 0*i)*(-10 - 1 - 6) + 0*i + 2*i - i as r*i + s and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c + c + 6*c + (0 + 4 + 0)*(-2*c - 3*c + 7*c) - c + 3*c - c - 4*c - 1 + 1 + 2*c - c + 2*c + 60*c + 120*c - 27*c to the form n + h*c and give h.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14075 is divided by 246?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 40 + 140 = 0. Let b = 188 - p. Suppose 3*h = 78 + b. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1860, -3894, -6278, -9186, -12792, -17270?\nAnswer: -22794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11*b**2 + 16*b - 49. Calculate t(7).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 13 + -3 + 13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 394502 and 39054?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c**3 - c**2 - 13*c + 9. Let p be u(3). Is p equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -322\/3 + 58\/3*o**2 + 2\/3*o**3 + 262\/3*o.\nAnswer: 2*(o - 1)*(o + 7)*(o + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-17)*((-224)\/(-116) + (-6)\/(-87))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 775, 1163, 1551, 1939, 2327?\nAnswer: 2715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/5 and 6\/95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -559074017 and 0.2.\nAnswer: -559074016.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76741 less than -67.6622?\nAnswer: -66.89479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 47*u + 55*u + 16*u.\nAnswer: 24*u + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21999 by 1773.\nAnswer: 7333\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 15*l - 14*l - 29, 0 = 2*x + 2. Solve 3*k = -5*s + 25, -3*k + l*s + 5 = 28*s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885420163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:11 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x**2 - 46*x - 6. Let q(f) = -f**3 - 24*f**2 - 90*f - 13. What is 7*m(t) - 3*q(t)?\nAnswer: 3*t**3 + 2*t**2 - 52*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/5 - 92*z**3\/5 + 738*z**2\/5 - 648*z\/5 = 0.\nAnswer: 0, 1, 9, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:06 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 - -107. Let y be (3 + 0)*(7 + 2). Suppose q - y = -g. Which is the closest to -0.1? (a) 4 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8226 + -2648. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107112*s - 667914.\nAnswer: -107112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.6 - -3.4. Is -2 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aazmkkk. What is prob of sequence mkak?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * -280093\nAnswer: -19606.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 174 = 46. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 4353?\nAnswer: 13059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(612) + 1 + sqrt(612)) - (sqrt(612) + 1 + 3))**2.\nAnswer: -60*sqrt(17) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*o = -15, 3*i - 25 = -o + 8. What is the greatest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*s**4 - 26*s**4 - 19*s**4 + (-2 - 1 + 2)*(10 - 10 - 4*s**2)*(4 - 2*s**2 - 4) as i + f*s**2 + d*s**3 + a*s**4 + z*s and give a.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (263*f - 74*f + 4*f)*(-3 + 3 + 2*f) to the form h*f + p + c*f**2 and give c.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 18099*q - 50613*q + 17580*q - 8.\nAnswer: -51132*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.04, 69, 0.56, 0.16, 0.3?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*t + 157. What is the closest to -1 in -28, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 6 - -2) + 7 + -33 + 7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61054 and 173215?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34465\/51 - -2027\/3. What is the fourth smallest value in -1, 1, -0.04, r, -2\/5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 1\/18 (b) -0.01 (c) 0.3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187.69 less than or equal to 0.1906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1681688118 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -216, 5, 1.9, -12?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qee when three letters picked without replacement from leeqleeeeeeoelqe?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 12*g**2 - g + 8. Let w be o(6). Factor 4 + m**2 + w - 3 + 4*m.\nAnswer: (m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/5 in -673, -8, -16?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**2\/2 + 2*a. Let h(o) be the first derivative of 11 + 0*o**2 - 1\/3*o**3 - 5*o. What is -h(w) - 5*u(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 2:08 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484425 is divided by 8352?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -85 + 83 + (0 - (0 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m + m - 5 + m**2 + 4. Let n be (-4)\/(-2) + -4*1. Let w be z(n). Calculate the greatest common divisor of 77 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 5*g - 1. Let t be b(-2). Let m(i) = -5*i + 10. Let q be m(-5). What is the greatest common factor of t and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q = 25*q - 180. Calculate the greatest common factor of 36 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_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: Expand (5*l + 10*l + 4*l)*(-155*l + 2 + 37*l - 56*l).\nAnswer: -3306*l**2 + 38*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.2 + -37.3.\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3067 + 70567\/23. Find the common denominator of k and 28\/207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.4497 years in months?\nAnswer: 1925.3964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nacanancn. What is prob of picking 2 c and 2 n?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/3218592 and -13\/70944.\nAnswer: 2378539488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*k = -2*k - 5, -f = -k + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4 - -4)\/5)\/2. What is the closest to h in -1\/6, 5, -1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 0*u + 4*u + 7 - 3*u - 2*u. Let f(n) = -3*n + 3. Let h be f(-1). Calculate k(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14610 = 4*m - 9*m. Let l = m + -584. Let g = l + -18765\/8. Find the common denominator of g and 79\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52.18 - -9.28. Let s = -43 - a. What is the closest to -16 in -1\/3, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:13 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-6))\/((-1152)\/6912).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-3 - 2*b + 3) - 6*b + 7*b + 18*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 3013.\nAnswer: -602.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*36\/(-45)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 6*o + 61, -197061*f + 47 = -5*o - 197058*f for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, t: 5, j: 4}. Give prob of sequence ttt.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-2499))\/((-22)\/(-154))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 9:41 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 4\/2089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**3*v**5 + c**3*v + 23*c*v - 20*v**5 wrt v.\nAnswer: -120*c**3*v**3 - 400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-5)\/(-6))*(-6 + 8). Let t = 44\/3 - 74\/5. Which is the second biggest value? (a) k (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**5\/150 + u**4\/12 - 2*u**3\/5 - u**2 - 4. Factor f(n).\nAnswer: -2*(n - 3)*(n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/18)\/(((-10)\/4)\/(-1))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41100 (base 5) in base 4?\nAnswer: 221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*v + 11 = -6, 2*x = -4*v - 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*3\/6 + -3. Let j(v) = 23*v**2 + 4*v - 7. What is the hundreds digit of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 - 6*v - 3. Let k be n(-6). Let s be 4\/(k + -1)*(-2)\/6. What is the biggest value in -5, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06781 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/(-144))\/(1\/3))\/(13\/(-3))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 47. Solve c*k - 3*k - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -30*7*(-5)\/(-210). Let q be 75\/(-2)*40\/(-39). Let v = 38 - q. What is the second biggest value in h, v, -1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**9)**(-8\/15) assuming m is positive.\nAnswer: m**(64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 3 - -8 - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405) - (sqrt(405) + 1))*4 - ((4*(0 + sqrt(405) + sqrt(405)) - sqrt(405) - sqrt(405)) + sqrt(405))) + 5*6*(sqrt(405)*1 + sqrt(405)))**2.\nAnswer: -3816*sqrt(5) + 1137661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56256518 and 732.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5770 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) + ((sqrt(330) - (-2*-1*sqrt(330) - sqrt(330))) + sqrt(330) - sqrt(330)) + sqrt(330) + sqrt(330))\/sqrt(6))\/(sqrt(80)*2*5).\nAnswer: 3*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, 0, -44, 5, -1 in descending order.\nAnswer: 5, 0, -1, -44, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + m + 3*m = -2497, -m + 4967 = 2*d. Suppose 0 = -6*z + 3*z - 2*f + 1491, -f = 5*z - d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3800, -3824, -3860, -3902, -3944, -3980?\n\"Answer: j**3 - 12*j**2 + 5*j - 3794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-125)\/(-2))\/(53055\/(-4716))?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/10 and 89\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.75390745 and -16.\nAnswer: -14.24609255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13449241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 87. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 73, 147, 219, 289, 357, 423, 487?\n\"Answer: -c**2 + 77*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 6 = -2*l - 12, -5*l = 25. Differentiate 3 + 7*d - 3*d - 4*d + 5*d**u with respect to d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*-1 - sqrt(78))*-2)\/(sqrt(726) - (-1*sqrt(726) + sqrt(726))) + 5.\nAnswer: 2*sqrt(13)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k + 33. Let q be u(-16). Let w be (-96)\/396 + q\/3. Which is the nearest to 2\/7? (a) -7\/5 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 339*4\/12 - (-4)\/(-4). Suppose 3*s - 2*o = -7*o + 116, -h = -4*s + 4*o. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4153857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 91451396 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 188, 435, 792, 1265?\nAnswer: 1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 11) in base 2?\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*j - 5*n + 2, 2*j - 3*n = -15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -7. Calculate the remainder when 288 is divided by t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 284 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 14*i**2 - 10 - 2 + 12*i**2 to o*i**2 + q + x*i and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from pppyyppyppp?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + b**2 + 4*b**3 + 4*b**2 - b**2 in the form z + o*b**2 + y*b + v*b**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 8) to base 16.\nAnswer: 2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*k + 5*y, 1 = 36*k - 34*k + 3*y. Suppose 2*w - 4 = 2*u - 2*w, 5*u + w - 45 = 0. What is the highest common divisor of k and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -1. Calculate the remainder when 5 is divided by 8 + 2 + u - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-303)\/(-27) - 4\/18. Let j = x - 9. Let l = 6 + j. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685.922 litres in millilitres?\nAnswer: 2685922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 + 16 = 0. Let p be (36\/g)\/(1\/(-21)). Calculate the greatest common divisor of 48 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -1\/5 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026399 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2639175, -5278348, -7917521, -10556694?\nAnswer: -13195867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1003386646 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 63724, -1\/2, 7, -1\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (1 - -1)*7\/((-56)\/(-204))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a**2 - a - 12. Let k be m(0). Let i(d) = -11*d - 13. Is i(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 47 + 47)*(1023*s**2 + 575*s**2 - 394*s**2 + (-s - s + 0*s)*(0*s + s - 3*s) - 2 - 2*s**2 + 2).\nAnswer: -2412*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -185\/17472 and -161\/30.\nAnswer: 87360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 23150*d - 92287. Calculate l(4).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) - (-1)\/4. Let g(q) = -q**3 - 8*q**2 - 6*q + 7. Let f be g(-7). Suppose 0 = -2*n - n + 12. Which is the third biggest value? (a) f (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106 and 78.\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20741.\nAnswer: 7, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {u: 2, y: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 10*l - 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5375 by 74.\nAnswer: -5375\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d + 44. Calculate o(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8*-1745666\nAnswer: -13965328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 11:39 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.7, 0.1, -0.1, -0.2, -4 in increasing order.\nAnswer: -4, -3.7, -0.2, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from hrtftza?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l + 9. Let x(w) = 12*w - 36. Let b(z) = 9*r(z) + 2*x(z). Suppose -2*d + 14 = h, h + 3*d + 210 = 229. Determine b(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 11:10 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 194, 1381, 4618, 10931, 21346?\n\"Answer: 171*g**3 - g**2 - 7*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-27)*-3 + (-240)\/(-18). Let a be 9\/6 - 2\/(-8)*g. What is the third biggest value in -2\/9, a, 1\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/6*0)\/(-2). Suppose l - 2*l + 5 = j. Let o(b) = b**2 + 2*b - 7. Let z be o(-6). Solve c + 1 + 2 = f, -3*c + l*f = z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6873, -13749, -20627, -27507?\nAnswer: -34389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) + 2*sqrt(24))*-4*-3)\/(4*sqrt(160)\/sqrt(5)).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from ststtttt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/21? (a) -1 (b) 3 (c) 2.4 (d) -3\/5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2*m - 16 + 20, -2*h - 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000 - -1001101111011110?\nAnswer: 1001110001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/208785 and 21\/3592.\nAnswer: 1670280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5) + (0 - -1) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-156)\/(-8)*6\/(-9))\/(-1). Solve 5*d + 5*v = 0, 18*d - 2*v + 7 = k*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115\/212 - -363\/1060. Sort -0.4, -105\/8, 4, g, -3\/4 in decreasing order.\nAnswer: 4, g, -0.4, -3\/4, -105\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c47c (base 16) in base 8?\nAnswer: 342174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - w + 1 = -6, 3*w - 15 = 0. Let k = -2 - -4. Calculate the remainder when h is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*s - 16. Suppose -s*r + 11 + 9 = 0. Let c(y) be the first derivative of -y**3\/3 + 5*y**2\/2 - 3*y - 1. Calculate c(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.039, 5\/8, 1, -24.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29715234 and 876.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 23 = 5*s. Let d(z) be the first derivative of -z**3\/3 + z**2\/2 + 10*z + 19. Let u be d(3). Solve -h = -s*h - 4*n + 11, n - 17 = u*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 180*q**2 + 1\/30*q**5 + 0 + 0*q - 8*q**3 + 5\/6*q**4. Factor i(h).\nAnswer: 2*(h - 2)*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 4*v + 12, 71*z + 5*v = 46*z + 105 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6742 is divided by 304?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20 = -5*w, b + 36 = 4*b + 3*w. Let a = -536 - -985. Suppose -a*v - 81 = -458*v. What is the smallest common multiple of v and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -1026, -2320, -4132, -6462?\nAnswer: -9310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 10:00 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562836*n**3 + 1392*n**2 - n - 1392*n**2 + n.\nAnswer: 562836*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*k*z**2 - 3*k*z + 2217*k + 8*z**2 wrt z.\nAnswer: -80*k*z - 3*k + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -28 - 20. Let h(x) = x**3 + 11*x**2 - 17*x - 7. Is h(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 7808372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1389465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -160666 (base 8) to base 14\nAnswer: -170b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)*1*267. Suppose -4*q + 241 = -h. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 528, 1951, 4724, 9297, 16120, 25643, 38316?\nAnswer: 54589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n - 32. Give m(-7).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14\/28*10*4 and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiififfiffiifi. What is prob of picking 2 i?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (435\/(-29))\/(-450)*6. Let i = -0.1 + 0.2. Let t = i - 0.3. Which is the third biggest value? (a) 2 (b) t (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 5, -563.3 in increasing order.\nAnswer: -563.3, 5, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -10160*k**3\/3 - 3302002*k**2\/3 - 6564010*k\/3 - 1292\/3 = 0. Calculate k.\nAnswer: -323, -2, -1\/5080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 29. Let h = a - -28. Solve 6 = -4*t + 3*t - g, h*g - 12 = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 5*p - 10. Find the third derivative of -3*w**p - 7*w**3 + 5*w**2 + 7*w**3 - w**4 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7612 + -11524. Let m be (2\/2)\/((-4)\/x). Suppose 3*l - 2877 = m. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81.7538 to one decimal place.\nAnswer: -81.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003007245019 to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2819630 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 5459172.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-15)\/(-6)) - -90. Suppose 2*b = 4*b - o. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drndnyxr. What is prob of sequence dxyr?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1370)\/(-75) + -10*(-31)\/4650?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 118*2*(14\/8 - 2). Let m = -23 - n. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38261, -1, -5.\nAnswer: -5, -1, 38261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**4\/4 + 5*u**3 + 6*u**2 + 6*u + 273. Calculate a(-14).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + g + 5 = 2*g, -6 = -3*g. Let v be -1 + 2 - q\/1. What is the second derivative of 5*o + 1 - 9*o + 4*o**v - 1 wrt o?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.073 + -0.02. Let n = 3.053 - v. Which is the closest to -0.3? (a) n (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -33. Which is smaller: -10\/9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261661, 523299, 784937, 1046575, 1308213, 1569851?\nAnswer: 1831489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**3 - c**3 - 3*c**2 + 4*c**3 to d + u*c**2 + v*c**3 + h*c and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/17))**(8\/11) assuming w is positive.\nAnswer: w**(16\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73944 and 2844?\nAnswer: 73944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(2\/4 + 2\/6). Let o be (22\/6 + g\/(-9))\/(-1). Is 1\/(o*(-4)\/24540) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7))**(3\/2))**27 assuming o is positive.\nAnswer: o**(-567\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10389633 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5569?\nAnswer: 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4023\/23 + (189\/(-207) - -1). What is the greatest common divisor of 245 and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 61*r**6\/15 - r**3\/6 - r**2 - r + 86. What is the second derivative of d(w) wrt w?\nAnswer: 1464*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b = 0. Suppose -4*t - 19 - 25 = b. Let w = t - -37. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 3, o: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a = -23*a + 18. Let n(i) = 2*i**2 - 6*i + 16. Calculate the remainder when n(a) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*b + 20*a**3 + 4*a**2*b - 4*a**2 + 5712*a*b wrt a?\nAnswer: -6*a*b + 120*a + 8*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from dnn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 2:45 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -7140*f**3 - 5*f**2 - 4*f + 8. Let g be d(8). Let t = -1916024 - g. What is t rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308 + 49*d + 312 - 1643 + 314 + 381 + 327.\nAnswer: 49*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/17*m + 2\/17*m**2 + 38\/17.\nAnswer: 2*(m + 1)*(m + 19)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -28*z + 5. Let t(l) = 70*l - 12. What is 12*b(u) + 5*t(u)?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12*m**4 + 5884*m**3\/7 + 15556*m**2 + 280356*m\/7 + 1872 = 0?\nAnswer: -39, -28, -3, -1\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/5)*g**(-2\/29)*g**(-7)*g*g**(-3\/8)*g)\/((g\/g**(-1)*g)**(12\/7)\/(g*g\/(g\/(g\/g**1))*g*g*g*g*g**(1\/6)*g)) assuming g is positive.\nAnswer: g**(-73571\/24360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*b - 3434 - 191. Suppose -119*s + b*s = 9568. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/9 - 447548*w**2\/3 + 51908840*w\/3 - 4515873968\/9 = 0. What is w?\nAnswer: 58, 671206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7877036, 7877065, 7877120, 7877207, 7877332, 7877501, 7877720?\nAnswer: 7877995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8513 + 161745\/19. Let p = -2 - 1. Let m = -2.5 - p. What is the second biggest value in 1.1, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -1\/2*q**2 + 1\/3*q**3 - 2*q + 1. What is the tens digit of y(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.89275958 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-382)\/(-14) + 2\/(-7). Suppose -12 = -3*x, r = z + 3*x + 8. What is the remainder when (-6)\/(1\/(1 - z)) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2497*p - 319. Let c(q) = -47*q + 6. Let f(d) = 319*c(d) + 6*i(d). Let a(k) = -86*k. Determine a(f(o)).\nAnswer: 946*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/5*33\/(-12)*2\/(-2)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3 + 2 + sqrt(425) - 5*sqrt(425)*4)*5)**2.\nAnswer: -71250*sqrt(17) + 11508750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -870001, -9 in decreasing order.\nAnswer: 5, -9, -870001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 432 - 420. Suppose 0 = -32*b + l*b - 15*b. Suppose 8\/3*k + b - 2\/3*k**2 = 0. What is k?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7572 + 14092. Suppose 0 = 3*x - 7*x - u. Let p = -6425\/4 - x. What is the common denominator of p and -21\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -674583 divided by 7413.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2. Let g(c) = -c + 128 - 3*c - 123. Give g(t(b)).\nAnswer: 8*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/54298200 and -29\/49362.\nAnswer: 54298200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(72) - sqrt(72)*-3)*-4)**2*-3.\nAnswer: -497664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*(-l + 35 - 71 - 68).\nAnswer: -6*l - 624","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 24684*l + 14761029. Give i(-598).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 5*m - 5. Let t be c(1). Let s(x) be the third derivative of 7*x**5\/20 + x**3\/6 + x**2. What is s(t)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 - 27 = 2*m. What is m rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74711 - 38776. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 60. Let m(u) = -u**2 - 14*u + 9. Let p be m(s). Let h = p + -14. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -29*b**2. Let z(n) = 7477060*n**2. Give t(z(i)).\nAnswer: -1621286361064400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -21*f**2. Let n(c) = 388621*c**2. Give n(i(p)).\nAnswer: 171381861*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*s + 3043 - 3127 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21013 is divided by 1245.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-304 - -303) + (2 + -2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 86671, 86693, 86715, 86737, 86759?\n\"Answer: 22*r + 86649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*i - 61837, -4*z - 53853 = -5*i + 49221. Suppose -100*h = -98*h - i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 2. Let l(k) = k**3 + 3*k**2 - 5*k - 4. Let w be l(-4). Suppose -2*s - 3*b + 0 + 12 = w, -2 = -b. Suppose -s = 5*u - 6*u. Give t(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 122.94 - -2.06. Let j = m + -135. Which is the closest to 1? (a) j (b) -2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -16. Solve -24 = 2*a + 4*g, 4*g = a - x*a - 30 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34919*j**2*m + 65*j**2 + 20*j - 5 with respect to m.\nAnswer: 34919*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -30*x**2 - 21*x. Suppose -5*w - 33 = -23. Let n(j) = -3*j**2 - 2*j. Give w*v(b) + 21*n(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/914 and 89\/462.\nAnswer: 211134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -20*f - 1. What is the units digit of l(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 320 - 2*j**2 - 18*j - 322 - 74*j - 178*j - 3*j**2 to the form s + h*j**2 + p*j and give p.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6401009183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18772 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 102 = -2*q, 0 = -4*h + q + 87 + 18. Let o = h - 15. Let w(t) = -14*t**3 - 11*t + 6. Let l(i) = 5*i**3 + 4*i - 2. Calculate o*l(u) + 4*w(u).\nAnswer: -u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 918425320 by -3704.\nAnswer: -247955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 127948?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13a568b + -2?\nAnswer: 13a5689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 276*u + 12 - 14 + 2421*u - 559*u as r*u + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 50*h - 228. Let g(f) = -28*f + 117. Determine 9*g(y) + 4*v(y).\nAnswer: -52*y + 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*f - 150 + 3735 = 255 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 - 141 = -18*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 5848116*r**2\/7 + 4275034201122*r\/7 + 34200647889424\/7.\nAnswer: 2*(r - 1462033)**2*(r + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1973 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*d + 6*d. Suppose 5*u - 3*u = 6. Put -5, d, u in descending order.\nAnswer: u, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from {x: 6, b: 2, p: 2, q: 8}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21294 is divided by 6574.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31637590 a multiple of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 400719 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -188 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/9 and -67\/4663917?\nAnswer: 4663917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 5*i - 12, 3*i - 5*u + 3 = -1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -43633 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 2*i**2 - 4*i + 4. Let g(j) be the third derivative of -j**6\/120 + j**5\/15 - j**4\/8 + j**3\/6 + j**2. Let z be g(2). Calculate m(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*c = -225. Suppose -154 = -2*s + t + c, 2*s - 188 = -2*t. What are the prime factors of s?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23321\/9 + 2591. Which is the third smallest value? (a) 118 (b) -0.3 (c) r (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 48 = 4*f, -2*b = -12 + 4. Solve f + 9 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 - 2*b**2 + 7*b - 11. Let q(f) = 9*f**3 + 4*f**2 - 13*f + 20. Let p(t) = 11*i(t) + 6*q(t). Determine p(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -9488722\nAnswer: 853984.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42\/2357 in 0.1, 0.07, -2\/3, -0.04, 4, -0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572 and 55?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 294 = 1533. Let p = o - 200. Solve -3*i = 3*f + 10 - 1, 0 = -p*i + f + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2 - 4) + (22 - -1 - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umummiixmmimimm. What is prob of picking 3 i?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.18 - 8.7. Let z = i - 2.48. What is the biggest value in -1, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 1\/40*k**6 + 2 - 3\/10*k**5 + 0*k + 5*k**3 + 3\/8*k**4 + 3*k**2. Factor y(c).\nAnswer: 3*(c - 5)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 965, 16, 10, -3 in ascending order.\nAnswer: -3, 10, 16, 965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1957020 and 48?\nAnswer: 7828080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796299020?\nAnswer: 2, 5, 11, 67, 89, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83 - 7*t + 11*t - 61*t - 15*t - 57*t to the form i + v*t and give v.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + 3*k - 1. Let m be ((-151)\/((-60249)\/342))\/(2\/(-28)*-3). Let t(c) = 2*c**2 - 3*c + 1. Determine m*d(a) + 5*t(a).\nAnswer: -2*a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.0049 - -9. What is s rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5 + 4. Which is the smallest value? (a) -5 (b) w (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 4*h**2 - 2*h + 7. Suppose 2*t + 5*c - 24 = 0, -4*t + 3*c + 0*c = -22. What are the prime factors of o(t)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01400195 - 0.014. What is l rounded to seven decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 529*a - 529*a + 20*a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16530 is divided by 59?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-5)\/(-1))*8. Suppose -v = 3*f - 341. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -5*p + 20, -24*p + 12*p + 3 + 5 = -10*p + 24*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.8 + 13. Let t = k - 9.2. Which is the biggest value? (a) 0.5 (b) 0.06 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*h - 3249, -h + 2442 = 2*h - 4*d. Suppose -1906 - h = -4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w + 1. Let z = 11 - 10. Let p(a) = -3*a**2 - 4*a - 5. Let n(y) = z*p(y) + 4*r(y). What is the first derivative of n(q) wrt q?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1264 and 10586?\nAnswer: 84688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, n: 1, l: 3}. What is prob of picking 1 l, 1 n, and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1872750.4 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7664130 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23681 divided by 7\nAnswer: -3383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 685 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 - 2*r + 2. Let z(d) = 224*d**2 + 91*d - 91. What is -273*f(m) - 6*z(m)?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -24*o**2 - 143*o + 15. Determine y(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347278.\nAnswer: 2, 89, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eememem?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 + v**2 - 6*v + 10. Give d(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4416, 4565, 4714, 4863, 5012?\nAnswer: 5161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*k**3 - 2*k**2*s - 1323*k*s - 158877*s wrt k?\nAnswer: -48*k**2 - 4*k*s - 1323*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221 - 152. Suppose 0 = -5*z + x + 4*x + 115, -4*x = -3*z + g. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 294*i - 190?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97701, 390787, 879261, 1563123?\nAnswer: 2442373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 5*a = a - 3*q + 120, 9*q = 6*a - 0*q - 432 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102 and 6?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(2448)*2 - sqrt(2448) - (sqrt(2448) - (-1*sqrt(2448) + -5)))**2*-6.\nAnswer: -1836750 - 18000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 7. Let y be 1\/(-3) - (-14)\/(-3). Let b be t(y). Let p be b - (-1 + (-1 - 0)). Is 0 equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3))**3\/(i**(-1\/2)*i)**14)**(1\/23) assuming i is positive.\nAnswer: i**(-16\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**2 + 11*p - 8. Let u(n) = -21*n**2 - 44*n + 32. Let f(g) = 9*s(g) + 2*u(g). Let m be f(-8). Suppose 10*o - m = 4*o. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 27*r + 20. Solve r*d - 5*w + 14 = 0, -12 = -4*d - 5*w + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, g: 6, s: 4, e: 3}. What is prob of sequence bese?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 215 - 149. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69072983, -138145957, -207218931, -276291905, -345364879?\nAnswer: -414437853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 63 = 2*q + 3*x, 4*q - 68 = 4*x. Solve 2*b = w + 7, -4*b - q = 4*w - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2495 times 270.05?\nAnswer: -673774.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6211 divided by 6.\nAnswer: -6211\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 15*b + 32. Let r = -203 + 140. Let q = -50 - r. Let p be g(q). Solve 2*n - 15 = p*n - 3*h, 0 = 3*n + 2*h - 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 5*g - x - 4, 18*g + 2*x - 73668 = -73580 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319 and 290?\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 46*b**2 - 115*b - 904. What is t(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -387, -777, -1157, -1521, -1863?\n\"Answer: r**3 - r**2 - 394*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 9*x - 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 564114 and 197574.\nAnswer: 124669194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 746, 3049, 6864, 12167, 18934, 27141, 36764?\n\"Answer: -4*g**3 + 780*g**2 - 9*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 20. Let b(p) = p**2 + 21*p. Calculate a(b(h)).\nAnswer: -h**2 - 21*h - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nccnncfn. What is prob of sequence cfn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.6 and -2\/29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + b = 4*x - 6, -x = -2*b - 5. Let f = -15 - -10. What is the nearest to x in 3, 1\/2, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(187)*-2 - sqrt(187) - sqrt(187)))\/(sqrt(11) - sqrt(11)*-3*-5).\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcn when three letters picked without replacement from cocbccnbbooncbnoxno?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141806794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 518 and 165984.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12220212202000 + -12?\nAnswer: 12220212201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(65)\/(sqrt(5) + (sqrt(540) - sqrt(60))\/sqrt(12)))**2 - 2*sqrt(52)\/(sqrt(16)\/sqrt(4)))*-4 + 4.\nAnswer: -25\/9 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003331634162 to 6 decimal places.\nAnswer: 0.000333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 2. Give f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/195*(-2184)\/4872?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -352 - -520. Let l(d) = -20*d**3 + 2*d**2 - d. Let f be l(1). Let g = f + r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2507230 is divided by 168.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.63094 + 1.1531. Let p = w + 4.49. Round p to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -7*p**4\/4 - 11*p**2\/2 + 5*p + 2. Let x(w) = -10*w**3 - 16*w + 7. Calculate -7*u(q) + 5*x(q).\nAnswer: -q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/15 of a hour?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3370*y**3 - 3468 - 3493 + 6961.\nAnswer: 3370*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -710 - -2132\/3. Let a(c) be the first derivative of -2\/3*c**3 - c**2 - m*c - 1\/6*c**4 + 8. Factor a(n).\nAnswer: -2*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47, 31, 5, -37, -101, -193?\n\"Answer: -n**3 + n**2 - 12*n + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/36 - (-2)\/9. Solve y = u - 3*u + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2276 or -2278?\nAnswer: -2278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -2*v + 2*s, 2*s - s + 1028 = 5*v. Let k = 208 - v. Solve l - 19 = 3*h, -h - 3*l = -k*l + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400192 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*t*z**2 - 17*t*z - 531*t - 24*z**3 + 7*z wrt z?\nAnswer: 326*t - 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*-1*-5)\/(4*sqrt(18)\/sqrt(2)))**2 + 3*sqrt(3)*-5 + ((sqrt(3) + -1)*5 - sqrt(3)) + sqrt(3).\nAnswer: -10*sqrt(3) - 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0392 - 0.0763. Let h = -0.041 - q. Round h to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-2\/71)\/r*r*r*r\/(((r*r**(1\/15)\/r*r)\/r*r)\/r*r*r) assuming r is positive.\nAnswer: r**(964\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5390 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1424\/(-48))\/((-1)\/(-9)). Let l = s + 274. Which is smaller: l or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175592 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttmtt. Give prob of sequence mt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8de - -302?\nAnswer: be0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47674511*x - 15673*x**2 - 47674511*x.\nAnswer: -15673*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3 + 100 - 133*h**2 - 163*h**2 wrt h.\nAnswer: -592*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**2 + 72*m - 74 = 0. Calculate m.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*d*s - 53702612*d + 92986*s with respect to s.\nAnswer: 25*d + 92986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 6)*(-4*d + 2*d - d) to i*d + p and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 33*h = -38*h - 5, 2*h - 60 = -5*o. What is the greatest common factor of 640 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1736914 is divided by 867586.\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63073999 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7*x - 6*x = -161, a + x - 167 = 0. What is the remainder when a is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q + 2*q - q - 56 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 5:32 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*i - 154*i**2 + 120*i + 907*i**2 - 63*i + 143 wrt i?\nAnswer: 1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**2 + 4*b**2 + b**2 + (-364 + 15*b + 364)*(-3*b + 2*b - b) + 2*b**2 + 2 - 2 as g + w*b + i*b**2 and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (10 - 3) - (-2 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r. Let a be (-60)\/(-33) + (-8)\/(-44). Let x(t) = -5*t**2 + t**2 - t**a. Determine i(x(b)).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23056 + 40877. Let s = b - 12042. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -169655 + 1?\nAnswer: -169654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4436733332 to the nearest integer?\nAnswer: 66609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124 + -12 - 49) + (1 - -21).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -231 to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 129*y - 105 = 124*y, 5*p + 2*y - 8*y = -70 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 + (187 - 74) + -36 + -2.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121 by -5.\nAnswer: 121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7897 + 7897. Let g(w) be the second derivative of 0*w**4 + 0 + 23\/2*w**2 + d*w**3 + 17*w - 3\/20*w**5. What is the first derivative of g(s) wrt s?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 1170 = -30*k - 49*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*sqrt(252)*2 - sqrt(252)))**2.\nAnswer: 49392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**4\/12 + 502*s**2 - 2. Let g(t) = 842*t**2. Determine g(z(l)).\nAnswer: 3368*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267 = -14*s + 253 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134600 (base 7) to base 10.\nAnswer: -25676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17 = -5*q + 58, -4*q - 2*s = -30. Let y(b) = -13*b**2. Let m(t) = -4*t - 107. Let k be m(-28). Let f(j) = 20*j**2 + j - j. Give k*f(d) + q*y(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-14)\/(-30)*(-140)\/56.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 520\/3 (b) 2\/8215 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(5\/8)*w)\/(w\/w**11))**(-18) assuming w is positive.\nAnswer: w**(-819\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859287 is divided by 17181.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4237.87l to millilitres.\nAnswer: 4237870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence taaa when four letters picked without replacement from {t: 2, a: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000011 + 1000?\nAnswer: 101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x**11*x)\/x)\/x))**(1\/68)\/(x**(-12)*x**(-3\/10)*x) assuming x is positive.\nAnswer: x**(3797\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqfqqqqgqgqgqqqqfmqm. Give prob of sequence gqfm.\nAnswer: 13\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(0\/5 + 2). Suppose 17 = l*x - k, -k + 2*k = -5*x + 25. Let o(u) = 169*u**2 - 13*u - 6. Let j be o(x). Round j to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 + 246*c**2 + 486*c - 60308. Determine o(123).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 353987 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 7. Let f(l) = 6*l. Calculate f(i(y)).\nAnswer: -24*y + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 5. Let w = 1 + 5. Let s be b(w). Suppose -x + 4 = s. Solve 0 = 3*k - 6*k - x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-455)\/85 + 5)*1\/5)\/(6\/30)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 221 = 4*s, -2*h - 2*s - s + 149 = 0. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-187)\/((-17952)\/(-216)))\/((-2)\/(-48)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 53, 0, 1.\nAnswer: -83, 0, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ssggssggssssggsggsgs.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 + 3*b - b + 2*b**3 - 5 + b**3 + 3*b. Is k(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62897978951112+0.2\nAnswer: -62897978951111.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 > -14814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43176 is divided by 1135?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -862\/735367 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 8 - 2. Suppose 57 = z*w - 15. Suppose -5*h = -w*h + 70. Solve h*m + 15 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.8. Let o(g) = -g**2 - 4*g + 3. Let z be o(-5). What is the nearest to 1 in z, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5428, -5429, -5430, -5431, -5432?\n\"Answer: -w - 5427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 4*u - 8 - 13, 0 = 2*b + 5*u + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**2 + b + 1. Let m = -10 + 8. Does 17 divide l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 17. What is r(-47)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10712 and 9386?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 4*u - 0*u + 19, 2*u - 1 = -w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/1383113 and -40\/4149339.\nAnswer: 4149339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4.2. Which is the biggest value? (a) u (b) -3 (c) 2\/15 (d) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49960 is divided by 16572.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 0, 4, 1.3, -1342, 1.26 in increasing order.\nAnswer: -1342, 0, 1.26, 1.3, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1529 times 352\nAnswer: 538208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1495 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 240 + 235, -t = 2*x - 28894. List the prime factors of t.\nAnswer: 2, 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/((-30)\/(-4)))\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = b - 14, 6*b - 9*b - 2 = 2*m. Suppose b*x + 23190 = 2*g, -18485 = -3*g - 2*x + 16280. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*d = -127*d - 131*d + 40 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 920*p. Let t(r) = 632*r**2. What is h(t(a))?\nAnswer: -399424*a**4 - 581440*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4\/(-4) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Let i(u) be the third derivative of -u**5\/60 - 7*u**3\/6 - 4*u**2. Give i(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*y + 1)*(453*y**2 - 244*y**2 + 1180*y**2) + y**3 - y**3 - y**3 to the form c*y + t*y**3 + h + z*y**2 and give t.\nAnswer: -2779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5074*a - 12165?\nAnswer: 5074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13493.8 + -1\nAnswer: 13492.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 68*(-11)\/132 + 1\/(-3). Which is the closest to 1? (a) 0.12 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -4*x + 6*i, -17*x + 15*x = -2*i + 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*p + 48 = s, p = 5*s - 249. Suppose 5*v - s = 4*v. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10409 - -19145. Is b a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**3 - 19 - 12 + 4*i - 14 - 5*i**2 + 22. Is v(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8652*u**2 - 32*u - 27. Is h(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 78372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixteenths of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 4*n**2 - 2*n + 6. Let p be m(4). Let v(z) = -z**2 - 10*z + 40. Let r be v(3). Let u be r + p + 4 + -3. Which is bigger: -10\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8066 or 0?\nAnswer: 1\/8066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78969*p**3 - 503*p**2 + 78972*p**3 - 43*p**2 - 61*p**2.\nAnswer: 3*p**3 - 607*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/4 - 340\/(-16). Let j = -14 + d. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-31) + -5*2\/(-35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4) + (38 - (32 + -7 - 4)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 5:10 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167\/76 + -18\/19. Suppose -14 = -h + 3*k, 0 = -5*h + 3*h + k + 38. Let p be h\/25 - 16\/(-30). What is the second smallest value in m, p, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93870 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386284555.\nAnswer: 5, 97, 109, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -223, -233, -247?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-9) + 0)\/(-10 - -9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20\/3*w**4 + 0*w**2 - 20\/3*w**3 + 0 - 5\/3*w**5 + 0*w.\nAnswer: -5*w**3*(w - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -79*c**2. Let g(u) = -4981*u**2 + 102. Let z(h) = -244*h**2 + 5. Let t(i) = -5*g(i) + 102*z(i). What is t(n(a))?\nAnswer: 106097*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/2)\/(((-231)\/21)\/(-11)))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19960 + -42601\/2. Let q = w + 1342. Factor 9\/2*u + q*u**2 + 5\/2 - 1\/2*u**3.\nAnswer: -(u - 5)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(22)\/(sqrt(275)*2)*2.\nAnswer: -2 + sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 92 in ascending order.\nAnswer: -6, -4, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2880797219 to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11) + (sqrt(11)*-3)**2 + 0.\nAnswer: sqrt(11) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 6*y**2 + 2*y. Let a be z(-6). Let i be 18\/(-3) + 90\/(-12)*4. Does 40 divide (i\/10)\/(a\/400)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130 - 23?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f - 1381 - 1360 + 2756 + 42*f.\nAnswer: 31*f + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*u + 22. Let i be 8\/2*1 - (u + 7). Solve 4*l - 2*a = -4, -2*a = -4*l - i*a - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b - 8 = 0. Suppose -101 - 59 = -b*v. What is the greatest common divisor of v and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31636*v**4 + 312*v - 559?\nAnswer: -379632*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6909, 13827, 20749, 27675, 34605, 41539?\nAnswer: 48477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 5:10 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 152 = 4*h, 3*h + n = -0*h - 104. Let u = h + 34. Which is the biggest value? (a) u (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**6\/36 + 7*r**4\/4 - 6*r - 2. Let h(d) be the third derivative of b(d). Let s(o) = -4*o. Calculate s(h(a)).\nAnswer: -80*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 - 12 + 12 + (0 + 0 + 1)*(-3 - 3 + 5) - 1 + 1 - 1)*(-6*m - 6*m + 15*m) in the form x + t*m and give t.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*l = -20, -2*l = -4*x - 0*l. Solve -x*k + 0 = -10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1048*o**3 + 4*o**2 - 70*o + 1058631 wrt o?\nAnswer: 3144*o**2 + 8*o - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 11 + 8*r - 3 + r**2 to j*r**2 + i*r + y and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613 times 733?\nAnswer: 1182329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85271193 is divided by 8196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**6\/120 + 3*s**5\/4 + 4*s**3 - 7*s - 145. Let q(j) be the third derivative of w(j). Factor q(m).\nAnswer: -3*m*(m - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from vhjhskvpp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*i = -42. Suppose 3*j - i = 97. What is the remainder when 145 is divided by j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2457106 and 213968.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*n + 12, 4*s - 1 + 0 = -3*n. Let r = 4.06 - 0.06. Let b = r - 3. What is the second biggest value in b, 0, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + d + 347 = 2*v, -4*v + 4*d = -344. Let u = 254 - v. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9263a7 (base 11) to base 8.\nAnswer: -5530547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*n - 96, -2*l - 4*n - 6 + 64 = 0. Suppose 5*m - 21 = -2*a + 3, 5*a - m = 87. Calculate the remainder when l is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14660*r + 178498 + 28522 - 31100 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 17*p**3 - 213487*p - 3*p**2 + 213487*p. Let d(f) = 154*f**3 - 28*f**2. Calculate -28*c(n) + 3*d(n).\nAnswer: -14*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c - 2. Let r be f(1). Let o = 8 - r. What is the smallest common multiple of o and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2013\/8 + 252. Let l = 518.3 - 517.8. Suppose 19*t - 44 - 51 = 0. Sort j, l, t in decreasing order.\nAnswer: t, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5199 is divided by 254.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 606417.764 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**5 - 14*i**4 - 35*i**3 + i**2 - 1. Let s(p) = -2*p**5 - p**3 - p**2 + 1. Let y(j) = q(j) + s(j). Find u such that y(u) = 0.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-6)*(-1 + 3). Suppose -g = 1 - r. Suppose -2*y + g = -y. Solve a = -3*v - 12, -3*a = y*a + 3*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 14*p. Let j(m) = 32*m - 3. Calculate c(j(n)).\nAnswer: 448*n - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 10:53 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/125*3\/(6\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2004.00002775 - 2004. What is g rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/515169, -1\/3, 0, -3\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12885717 and 65?\nAnswer: 64428585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 950 = 7*b - 44. Suppose -3*n + b = 106. Let x(r) = r - 14. Determine x(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**3 - 2*c**2 - 2*c + 3. Let v be b(2). Let j = v + -23. Let z be (-10)\/15 + (-24)\/(-9). Solve 4*d + j = -3*y, z*d - 6*d - 5*y = 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1195093 is divided by 4102?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-0.428\nAnswer: -0.0428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (10\/30)\/((-1)\/(-6)). Let o be p\/2*(-5 + 61). Let m = o + -66. Is -38 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2307278 (base 13) in base 5?\nAnswer: -10230031223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 + 6)*(-1 - 1 + 0)*(-7*l**2 + 22*l**2 + 2*l**2) as w + q*l**2 + s*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.7757241 centuries?\nAnswer: 0.07757241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 4400?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 138*p - 275. Determine q(67).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.41\nAnswer: -2.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 2. Let w be p(-2). Suppose w*o + 72 = o + s, -156 = -2*o - 5*s. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*g - 131*g + 1706414. What are the prime factors of g?\nAnswer: 2, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 643*h + 643*h - 13*h**2.\nAnswer: -13*h**2 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1336969.\nAnswer: 41, 32609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*1*(-18)\/(-8)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 75393 to the nearest 1000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 0.144, -324, -7\/2, 0.3.\nAnswer: -324, -13, -7\/2, 0.144, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 284\/2523 or 0?\nAnswer: 284\/2523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078482 is divided by 4513.\nAnswer: 4388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8331 is divided by 3688.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241805867?\nAnswer: 11117, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275562409?\nAnswer: 275562409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 198*y + 77. Is q(4) a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*w - 1047 + 5049. Calculate the highest common divisor of 184 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*v - 1071, 5*a + 2*v = 7*a - 1086. Suppose 5*f + n - 291 = 5*n, -16 = 4*n. What is the remainder when a is divided by f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -609\/4 - -153. What is the smallest value in -0.03, -4, 4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 32 = i, -2*v - 344 + 327 = -i. Calculate the remainder when 1049 is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11116070 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 8*d**2 + 52*d - 5. Calculate t(-12).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 0.0195 (c) 15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425265, -425218, -425141, -425028, -424873, -424670, -424413?\nAnswer: -424096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 689*n - 33. Let y(u) = 4. What is p(k) + 9*y(k)?\nAnswer: 689*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 5*p - 25*p)*(-1 - 2*p**2 - 2*p**2 + p**2) to v*p**3 + z*p + l + n*p**2 and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4733753 and 4025657.\nAnswer: 8759410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 36 = -4*x - 7*v + 13*v, -x - v = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.5 - -67.5. Let k = -42277461.3 + 42277516.30000057. Let d = k - r. What is d rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 217565 divided by 43513\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from ffgffgg?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102955 + -10451.\nAnswer: 92504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1675, -14480, -49487, -117796, -230507, -398720, -633535?\nAnswer: -946052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335248701?\nAnswer: 3, 1741, 64187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-4))\/(-13)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1763832804 rounded to five dps?\nAnswer: 0.17638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + -1 + (sqrt(931)*-2 - sqrt(931)).\nAnswer: -21*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 22*d = -46*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8691 or -8636?\nAnswer: -8691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*4\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.811 take away -1260.1?\nAnswer: 1260.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 30 = -2. Suppose -s - 2*q - 1 = -3*q, -25 = -5*q. Calculate the highest common factor of s and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 175 - 303. Let m = -126 - j. Which is smaller: -48 or m?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-992)\/25482)\/(696\/261)?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/1255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umaaamamaammaaaaaua. Give prob of picking 1 m and 1 u.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 3*n - 4. Let t(v) = -2*v + 8*v**2 + v**2 - 7*v**2 - 4 + 0*v. Suppose 4*b - 29 = 5*g, 4*g - 3*g = -5*b. What is g*t(k) + 4*z(k)?\nAnswer: -2*k**2 - 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -51, 3 in decreasing order.\nAnswer: 3, -0.07, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12775596291.29977 - -12775767505. Let r = q + -171122.7. Let t = -91 + r. What is t rounded to 5 decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 - 2*g**2 - g**2. Suppose -2*d - 2 + 4 = 0. Let p(h) = -h + 4. Let r(q) = -1. Let z(t) = d*p(t) + 4*r(t). Calculate s(z(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-12411.\nAnswer: -2482.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/((d*d\/d**11)\/d))\/d)\/(d*d**8) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 7*t**2 - 2*t + 1. What is the tens digit of r(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 522 and 1489788.\nAnswer: 1489788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 220176 and 191901732.\nAnswer: 2302820784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-7))\/3)\/((-1446)\/15183)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.86 + -0.14. Sort f, 0, -3 in descending order.\nAnswer: 0, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51161, -51688, -52215, -52742, -53269, -53796?\n\"Answer: -527*i - 50634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, -3, -19952, 2, 5 in decreasing order.\nAnswer: 5, 2, -3, -328, -19952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57, -213, -369?\n\"Answer: -156*r + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 4, -0.07, 2\/71?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250036049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1885)\/(-3) - 12\/(-45)*-5. Suppose -3*d + 3792 = -5*f, -617 = -d - 5*f + l. Is d 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 3723867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111000010110110 (base 2) to base 8.\nAnswer: -570266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -1387.41.\nAnswer: 19423.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 16, d: 2}. Give prob of sequence ddaa.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908701 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 989 and 2834947.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 140*u - 144.\nAnswer: 4*(u - 36)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from feuuecuceuuediu.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.66071 decades in years?\nAnswer: 46.6071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 56*r + 10. Determine p(-4).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {f: 4, a: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 57, 0, -89, -222, -411, -668, -1005?\n\"Answer: -2*b**3 - 4*b**2 - 31*b + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -6 in descending order.\nAnswer: 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-25 - -3) + 40 + -36)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 g, and 1 j when three letters picked without replacement from {v: 2, g: 2, j: 1, u: 2, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 c when three letters picked without replacement from {t: 1, p: 1, h: 9, c: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/12)*(z**(-2\/5)\/z)\/z*z*(z*(z\/((z*z**(-17)*z)\/z)*z)\/z*z)\/z**18 assuming z is positive.\nAnswer: z**(-29\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 2*t - 5, 8*t - 9*t = 5*l + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-27) + (3 - -2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**2 - 1. Let h be m(4). Solve -5*x + 3 - h = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**4*v - 2683368*c**3*v - 6*c**2*v - 529853*c**2 + 2*v wrt c.\nAnswer: -72*c*v - 16100208*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/12 + y**3 - y**2\/2 - 2*y + 44. What is v(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*y - 84 = 0, -4*a + 4*y + 114 = -34. Solve -43*k + a*k - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-46)\/9 + 5)\/(4\/(-18)). Which is the second biggest value? (a) -0.4 (b) -5\/3 (c) 5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64 - 0) + (-516 - -472)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6 - (1 + -29)) + -8 - -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 3)\/(4\/(-10)). Let d = 121 - 106. What is the highest common factor of d and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*w**3 - 42*w + 42*w)*(170 + 178 + 561 + 30) to the form n + o*w**2 + i*w**3 + f*w and give i.\nAnswer: 36621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275\/17*792\/(-3300)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 11590.274 and 0.026.\nAnswer: 11590.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 14*y + 5. Is v(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.00641 - -0.00641. What is the closest to 8 in o, -1\/123, -4\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -0.1, -3 in decreasing order.\nAnswer: -0.1, -3, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.29 - 0.2.\nAnswer: -48.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1992722*z**4 + 5*z**2 - 5*z - 5525058 wrt z?\nAnswer: -7970888*z**3 + 10*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhyyyqyyhy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469942925?\nAnswer: 5, 709, 26513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - 14. Let d(c) = -c + 5. Let j(l) = 11*d(l) + 4*k(l). Let h be j(7). Let t be 2\/(-6)*9\/h. Sort -4, t, -3.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 2*f**3 - 7\/60*f**5 - 10*f**2 + 0 + 0*f - 5\/12*f**4 + 1\/120*f**6. Calculate p(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 92 = -0*h + w, 104 = 5*h - 4*w. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 6*j**2 - 6*j - 6. Let v(n) = -2*n**3 - 11*n**2 - 11*n - 12. Let m(y) = 5*h(y) - 2*v(y). What is the remainder when 1 is divided by m(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let u(b) be the third derivative of -b**7\/2520 - b**5\/20 - 2*b**2. Let z(i) be the third derivative of u(i). What is z(l(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n - 12. Let s be r(-4). Solve -26 = 5*i + 4*f - s*f, f = i - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**2. Let h(v) = v**2 + 11. Let f(b) = 2. Let n(d) = -11*f(d) + 2*h(d). What is n(l(c))?\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(1*(-3)\/3*-1). Suppose y*c = -88 - 106. Calculate the common denominator of c*((-22)\/(-77) + (-31)\/84) and -33\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2 - 3*a + 5. Determine k(4).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68.16 + -68.16. Let v = 3.84 - -0.16. Sort q, v, -1, 1\/2 in increasing order.\nAnswer: -1, q, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*q**3\/3 - 67952*q**2\/3 - 113408*q = 0. What is q?\nAnswer: -24\/5, 0, 7088\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892082 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -20. Factor q - q**4 + 0*q + q - 2*q**3 + 0*q + q**y.\nAnswer: -q*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 1729?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(375)\/sqrt(3) + (sqrt(980))**2.\nAnswer: 5*sqrt(5) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70493\/13 + -5419. Find the common denominator of p and ((-2)\/8 - (-26)\/24)*4.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2610272 and 176.\nAnswer: 28712992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.86 to 1 decimal place.\nAnswer: 24.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 11*t + 1. Let f be q(-4). Suppose -c - 5*v = 5, f*v + 7 - 2 = -4*c. Solve c*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2171 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**3 - 312*g**2 - 8*g + 461. Determine x(78).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 7458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -9, -46, -119, -240, -421, -674?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 10*d - 11. Suppose -5*i + 37 - 7 = 0. Suppose -11*t - 40 = -i*t. Let c be f(t). Calculate the highest common factor of c and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2733351 is divided by 1366545?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 7. Let g(a) = -2. Let f(h) = -7*g(h) + 2*r(h). Let z(b) = -203*b**2 + 426*b**2 - 202*b**2. What is f(z(x))?\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*k**4 - 78*k**4 + 75*k**4 + (3*k**2 + k**2 - k**2)*(2 - k - 2)*(2 - 3 - 1)*(2*k + k - k) + 3*k**4 + 0*k**4 + 3*k**4.\nAnswer: -21*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3\/3 - 1908*r**2 - 681632*r + 2050624\/3.\nAnswer: -4*(r - 1)*(r + 716)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -14*b + 4879. Let u(s) = -20*s + 7308. Calculate 7*j(n) - 5*u(n).\nAnswer: 2*n - 2387","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t**(-7)\/t*t)\/t)**12*t*(t*t*t**31)\/t*t**(-3\/11)\/t)**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 19 = -4*g - 5*y, 0 = g + 5*y - 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzgzzz. Give prob of picking 1 g and 1 z.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 241 - 199. Suppose 43*d = q*d + 303. What are the prime factors of d?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 1. Suppose 0 = 2*h + 24 + 14. Let d = h + 20. Let x(u) = d + 0 + 2 + 2*u - u. Give 2*l(c) - x(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 2160*c - 101370. What is r(48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.49 - -1.19. Put u, 7\/5, -1\/4, -1\/6 in ascending order.\nAnswer: u, -1\/4, -1\/6, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -289 in ascending order.\nAnswer: -289, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4937, 4933, 4927, 4919, 4909?\nAnswer: 4897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634.7159 months in millennia?\nAnswer: 0.136226325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {i: 1, b: 1, m: 2, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/8 + ((-168)\/(-32) - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 27. Suppose a*f = -6 + 15. Suppose -153 = -f*t + 2*i - 5*i, 4*t + i = 189. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3376*a + 15 = -3371*a + 5*n, -14 = -4*a - 3*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*((-668)\/20 + 36\/90)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 4*t = -3*q + 4, 5*q + 7*t + 6 = -7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -3\/20*c**6 + 19*c**2 + 0*c**4 - 8\/3*c**3 + 0*c**5 + 0*c + 0. What is the derivative of f(d) wrt d?\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.246329 centuries in millennia?\nAnswer: 0.4246329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 1\/6*h**3 + 2*h + 5\/2*h**2 + 0. Let m be n(-3). Calculate the greatest common factor of m and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 3450431?\nAnswer: 4\/3450431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1130103231 + 3131?\nAnswer: -1130100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - 1.5. What is the second smallest value in 0.2, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773*l - 106 = -794*l - 5*k, 2*l = 3*k - 49 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 = -3*l. Let i = l - -11. Suppose -4*y - q - 2*q = -12, -2*y - 3*q + i = 0. Solve -10 - 2 = -y*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657575654 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18*p**2 + p. Suppose -4*f + 5*i = -31, 5*f - 3*i + 0 = 42. Let z = f - 10. Determine b(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 0.76. Let s = n + -0.72. Let g = 0.58031 + s. Round g to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35380 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-4)*2)\/(-21 - -20). Let i be (6 - 6)*p\/(-4). Suppose 7*r - 42 - 42 = i. What is the lowest common multiple of 38 and r?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356727697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7799 less than or equal to -132604\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*u - 980 = 21*u. Which is the nearest to -30? (a) u (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 2, x: 1, d: 1, m: 2, w: 2}. What is prob of sequence wm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 16*x + 80. Let t(d) = -5*d - 24. Let k(m) = 3*p(m) + 10*t(m). Let w(v) = -80*v**2. Calculate k(w(i)).\nAnswer: 160*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 468 + -62. Suppose -c + 3*c = 56. Calculate the highest common divisor of q and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 1. Let c = -20 - -18. Let h(w) = 0*w + 2 - 3*w + 4 - 4. Give c*h(l) - 5*b(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 7*c. Let i be g(8). What is the highest common divisor of 104 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 - -54. Let p = 25 - z. Let k = -51.0000057 + p. Round k to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1973 to 2 decimal places.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**3 - 3333*t**2 + 1662*t - 3382. Determine o(-556).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-816)*12\/(-5)*(6\/9)\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let j(g) = 8*g**2 + 11*g - 16. Let i be j(4). What is the greatest common divisor of i and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4680)\/(-546)*(-1 + (-30)\/(-9))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740033 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 + -187. Let a(b) = 2*b**2 - 10*b + 2. Let k be a(h). Solve -4*l + 4*y - 2 = k, 4*l = 5*y - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248.5 - -3.\nAnswer: -245.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*s - 8 = 0, -6*s = -5*i - 1283 + 1315 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:00 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - a + 2*a + 8 = 0, -14 = 5*d + 3*a. Let u be (3 + 1)*(-4)\/(d - 3). Let q(y) = 6*y**2 - 12*y + 10. What is the units digit of q(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57263634 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 4 + 0)*(2*n - 5*n + 4*n) + 2*n + 4*n - 2*n - 20605 + 56*n + 20605)*(0*n**2 + 0*n**2 - 3*n**2) to the form b + o*n + v*n**2 + i*n**3 and give i.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 1:09 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmjpjvpjvpzrvpvppz. What is prob of picking 2 j and 1 r?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30 times -0.687\nAnswer: -20.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 145351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2329, -1746, -1163, -580, 3?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + 1 - (8 - (23 - 11)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273*f**5 - 2847*f**4 + f**3 + 10854*f**2 - 185*f.\nAnswer: 16380*f**2 - 68328*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*w + 44 = -53*w. What is the greatest common factor of w and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v**2 + 6*v. Let t(w) = 9*w**2 + 7*w. Let u(g) = -6*c(g) + 5*t(g). Determine u(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -483, -2, -0.1, -5, -10, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797651?\nAnswer: 521, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-2)\/4)\/(13\/(-2))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -323*c - 11. Let k be v(-4). Suppose 6*a - k = 1365. Let f = 968 + a. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -67\/2. Let z = -133.01 - -133. Let l = z - -0.41. What is the closest to -0.06 in 2, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let i(o) = 523*o**2 + 5*o + 4. Let w(h) = i(h) - 2*s(h). Let k be w(-1). Suppose 2*l - 6*l + k = 0. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = a + 42, 5*n = -5*a + 2395. Calculate the highest common divisor of 532 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 5*t + 2. Let n(p) = 3*p + 5. Let g(q) = -4*q - 7. Let c(u) = -5*u - 10. Let w be c(-3). Let h(i) = w*g(i) + 7*n(i). What is -4*h(y) - m(y)?\nAnswer: -y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/10 + g**4\/6 - g**3\/3 - 3*g**2 - 11*g. What are the prime factors of d(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-3)*216\/(-4). Let s be ((-8)\/6)\/((-4)\/n). What is the greatest common divisor of 44 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.101 and -62823?\nAnswer: 6345.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 316297*t**3 - 13*t**2 - 49*t - 11. Let z be f(-3). Round z to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 6:32 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-180)\/8) + 116\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 15 - 54 = 0. Let r = d + -13. Calculate the common denominator of (3 - r) + 13\/(-20) + 0 and 87\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/13)*j*j**(7\/4)*j*(j*(j*j\/(j**(-6)*j)*j)\/j)\/j*j*j*j**(1\/19)*j assuming j is positive.\nAnswer: j**(13713\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let c(o) = -168*o + 49*o + 36*o + 59*o. Give c(w(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 + b?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (-1*(sqrt(99) - (sqrt(99) - sqrt(99)*-2)))**2.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 - 1)*(-756*d - 79*d - 72*d).\nAnswer: 4535*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5509905 and 3230?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 + 288 = -23*y. Sort 5, 2, y in descending order.\nAnswer: 5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123.71648 - 123.7. What is y rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11)*1) + sqrt(35)\/sqrt(5)*-3 + ((sqrt(70) + (-2*sqrt(70) - sqrt(70)))*2 + sqrt(70))\/(sqrt(1000)*-2 + sqrt(10)).\nAnswer: -35*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*w - 50*w = 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.2 - 20410266.\nAnswer: -20410256.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((468\/(-12))\/(-13))\/(-1))\/(2\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l - 4. Let k be 13\/4 + (l - 6). What is the nearest to k in -3, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 192*k + 11. Let o(f) = f**2 - 12*f + 30. Let g be (3 - (-5)\/(-1) - -10) + 1. Let j be o(g). Is r(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -4\/225, 2, 0.2 in decreasing order.\nAnswer: 2, 0.2, -4\/225, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8960 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 3*w + 87. Suppose w = 3*y - 2*t + 3*t, 3 = -3*t. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:12 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by 13.\nAnswer: -73\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 4*t - 3. Let i be (1 + 2)\/((-4)\/(-120)). Suppose -54 = -5*m - 4*r, 5*m - 7*r - i = -2*r. Let q be (7\/m)\/(1\/(-4)). Give d(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 550 divide 9442612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*m - 4\/9 + 2\/9*m**5 + 8\/9*m**2 - 4\/9*m**4 - 4\/9*m**3 = 0. Calculate m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 - 5*n + 8. Let k be m(-9). Suppose 11*o - 161 = 202. Let s = o + k. Calculate the remainder when 6 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*q - 23 = -427*q + 2*s, -4*s - 16 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/105*196\/(-70))\/(6\/(-255)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-5060)\/(-352)*6\/45).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -798 - -2e42?\nAnswer: 26aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -7 - ((-4 + -6 - -5) + -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6285a (base 11) in base 10?\nAnswer: 91541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1015117531 and 673.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/(18*(-4)\/(-16)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 12:59 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**4\/4 - 5*i**3\/3 - i + 2. Let l be a(-5). Let h = -5 + 10. Sort l, -3, h in ascending order.\nAnswer: -3, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 1*(-4 + 1). Is (-135)\/(-20)*-2*8\/o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33765.2 and -1377995.295.\nAnswer: -1411760.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63.7 + 63.6. Which is the smallest value? (a) -2\/3 (b) w (c) 1\/3 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 14*s. Let h(f) = -4*f. Calculate y(h(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73\/14 - -40\/7. Let k = -5 + 4.5. Let n = -2\/1063 + -1059\/2126. Which is the closest to n? (a) 4 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(((-6)\/(-28))\/1). Let p(w) = -w + 10. Let i be p(7). Let j be 2 - (-9)\/i*11. What is the greatest common divisor of u and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6 = -3*z, 4*z - 6 + 14 = 3*l. Put -3, 5, z in ascending order.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (45297\/(-2373) + 19)\/((-8)\/14). Is 1 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 2, p: 5, c: 3, q: 8}. What is prob of picking 1 p and 1 s?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + v - 679 = y, 165 = -y + 5*v. Suppose 5*o = -3*f + 981, -o = -0*o. Let d = y + f. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110010010 (base 2) to base 4.\nAnswer: 112102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 113, 161, 209?\n\"Answer: 48*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.143622 rounded to three dps?\nAnswer: 3.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 5*g - g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788820 is divided by 7888?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 divided by 12?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11714765*t - 21672200.\nAnswer: 11714765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*n**2 - 15*n - 33 wrt n.\nAnswer: 28*n - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -669*g - 4682. Let l be k(-7). Solve -4*y + 17 = l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0, 39, 190 in ascending order.\nAnswer: -4, -2, 0, 39, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 5. Let u be 1\/2*(m - 2). Let x(z) = -z**3 - z**2 - z + 26. Let t be x(u). Solve 5*v = -5*r - 10, 0 = 5*r - 4*v - 0*v - t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 5*c = 0. Suppose c*l = -5*l + 210. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/(x\/x**(2\/17)*x)*(x\/x**(-2))\/x**5)**(-19\/5) assuming x is positive.\nAnswer: x**(57\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + j - 3*j + (2*j - j + 0*j)*(1 - 1 - 2) + 3*j - j - j + 4*j + 2*j - 11*j - 2.\nAnswer: -7*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1661929 < -1661927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 3*w**2 - w - 7. Let g be l(-3). Suppose d + 22 = 6*d - c, 8 = 4*d + 4*c. What is the remainder when (g\/5)\/((-4)\/50) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 1. Let y be l(-5). Suppose 14 + y = 5*k. Let b(m) = m**3 + 8*m**2 - 7*m + 18. Let r be b(-9). Put k, -1, r in increasing order.\nAnswer: -1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40016 - -40040. Suppose -3*g + 16 = 4*i, 2*i + 8 = 4*i - 2*g. Solve -4*j = i - z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -14, -307, -12 in increasing order.\nAnswer: -307, -14, -12, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3090011386 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 5:34 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308 = 27*x - 524 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 55452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 - (-17 + -16) - -6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 4. Let b be z(6). Let m be 160\/112*2\/b. Which is greater: -0.15 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*p - 33*p + 22*p - 2*p**2 - 25*p to the form y + t*p**2 + l*p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(3*i + 3*i - 4*i)*(5 - 4 + 1) + (1 + 1 - 1)*(-31*i - 74*i + 0*i) to the form q*i + v and give q.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69958 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136662, 136685, 136726, 136785, 136862, 136957, 137070?\nAnswer: 137201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-20)*(-2)\/(-1). Let j(x) = -x**3 - 4*x**2 + 5*x + 4. Let i be j(-5). Let p be (-2)\/(-4) - (-2)\/i. Which is smaller: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 g when three letters picked without replacement from {u: 10, g: 3, i: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i**3 + 60 + 55 - 2*i**3 - 116 + i**2 - 5*i**2 in the form q*i**3 + m*i + x*i**2 + p and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -3. Let s be (-6)\/(-15) - (-232)\/20. Let c = s + i. Does 17 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 3*l - 5. Suppose -4*n - 2*p + 3*p + 15 = 0, 2*n = -p + 15. What are the prime factors of x(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/((z*z**2*z)\/z)*z**3)\/(z**6*z**(1\/5)\/z))**(15\/8) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {o: 1, w: 3, x: 1, f: 2, s: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -11*k**2 - 5*k + 6. Let t be q(2). Let s = 51 + t. Suppose -7*o = s - 10. Let j(f) = 5*f + 1. What is j(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10140 by -5.\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzn when three letters picked without replacement from nzllzlnnzll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 20673666?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 60 - 146 = 4*y, 0 = -3*a - y + 196. Let l = -33 + a. Let z = 69 - l. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4962*f + 580900 = 6063*f - 3175*f for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)*-3 - (-3 + 24). Let g = 169\/7 + z. Sort 0.5, g, -2\/7, -3 in descending order.\nAnswer: 0.5, g, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 61) + (-11 - 1) + (-81 - -111).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**2 + 4*d + 2. Suppose 0 = 2*n - 0 + 4. Is s(n) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*h - 150*h - 167*h.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/(-4) - 9\/6. Let b be 430\/12 - 3\/r. Suppose 4*n + b = 6*n. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, 0, -1.2, -0.76?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 + 7 + -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(10\/(-4) + 2). Solve -y + d - 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e025 (base 15) to base 11.\nAnswer: 32587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134714 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3264205 (base 7) to base 4.\nAnswer: -1202100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 5:57 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19215 and 34511970.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwc when three letters picked without replacement from wwwcwwwwwcwww.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21671\/20 + -1083. Calculate the common denominator of p and 7\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75584458 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcofypfo. What is prob of picking 1 p, 1 o, 1 g, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16161995?\nAnswer: 5, 41, 78839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 45 - 2*m**2 - 45)*(m - 4*m + 2*m).\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3292?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*q - 50 = 5*q, t + 20 = -3*q. Put 5, 1, t in descending order.\nAnswer: 5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 10 - 40. Let z(o) = o**3 + 5*o**2 - 7*o - 6. Let v be z(j). Solve -3 = -f - v*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 11*y + 2688. What is n(-182)?\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1231214*-0.006.\nAnswer: 7387.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2 - 4026*h + 16088 = 0.\nAnswer: 4, 4022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.99. Let c = 5.31 - x. Round c to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 72\/(-20) + (-104)\/10. Let c be b\/(-2)*(-10 - -8). Let f(v) = -v**3 - 11*v**2 - v + 19. Does 10 divide f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -170*j - 4. Let x(b) = -42*b - 1. Give 6*n(q) - 22*x(q).\nAnswer: -96*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39323, -4, -0.2, 88, -5, -3 in decreasing order.\nAnswer: 39323, 88, -0.2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16711000 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**5 - 140*c**4 - 945*c**3 + 950*c**2 + 6020*c - 5880 = 0?\nAnswer: -14, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 8*z + 5. Let n be a(-8). Suppose 3*c - 8*c = -x - 280, -n*c + 2*x = -285. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 90. Suppose -p - 3*d - 8 = 0, 20 = -3*p + p - 2*d. Let x = z + p. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/25224 and 97\/176.\nAnswer: 554928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1029313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/3)\/(((p\/(p*p**11*p*p*p)*p)\/p)\/p*p*p))**(-35) assuming p is positive.\nAnswer: p**(-1540\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -33. Let x be -109*(-4)\/(o - -5). Suppose -4*i = -20, -4*b - 3*i + x = -2*b. Calculate the remainder when b is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 85*v - 2.\nAnswer: -85*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 30 (c) -5\/8 (d) 18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, 1, -5684\/3, -1 in descending order.\nAnswer: 165, 1, -1, -5684\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 479184*j*q**2 - 16597*j*q - 7*q + 1 wrt q.\nAnswer: 958368*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478450?\nAnswer: 2, 5, 7, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p + 6*p + 2*p - 3*p + 37. What are the prime factors of c(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11960049047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d*n**3 - 130*d*n**2 + 2*d*n - 15*n**4 - 3*n**2 wrt n?\nAnswer: -18*d - 360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(1536) - 1*sqrt(1536)))\/sqrt(8))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 832\/7 + 230\/966*27\/45. Solve 47*t = 448 - u for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294001*y + 294001*y - 152483 + y**2.\nAnswer: y**2 - 152483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141664835 to the power of 1\/2, to the nearest integer?\nAnswer: 33789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-169)\/(-91) + -2 - (-4104)\/14. Let w(d) = -142*d + c*d - 152*d. Let q(t) = 123*t. Give q(w(f)).\nAnswer: -123*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = -26*k. Suppose k = 2*m + 3*q + 2, -5*m + 4 = 5*q - 2*q. Suppose -4 = m*p, -l + 11 = -3*p - 0. Sort -0.4, l, 0.1 in descending order.\nAnswer: l, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2458852 by 94.\nAnswer: -26158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*i + 3 - 113, -5*i - 22 = -k. Solve k - 54 = -4*b + j, -2*b - 4*j = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = -284*d + 268*d. What is the remainder when 1188 is divided by d?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxx. Give prob of sequence xx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*q = 887*q - 442 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9253*i**3 - 1055*i**3 - 14017*i**3.\nAnswer: -24325*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 265236 and 102672?\nAnswer: 3182832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 941344560 divided by -72411120\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 + 55*l**2 - 13*l - 87. Let c be f(18). Solve -2*x + 6 = c*a, 2*x + 10 = -19*a + 24*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166*d + 487 wrt d.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-2)\/(-4))*-4. Let s = -29 - -119. What is the greatest common factor of s and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 + 40202*h - 160753. Give o(4).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -29. Let s(j) = j**3 + 5*j**2 - 7*j - 7. Let o be s(-5). Let q = o + a. Solve m + 4*m = q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 19. Let b(r) = r + 6. Let t be b(s). Suppose 0 = 2*g + j - 8, 5*g + 4 = t*g - 4*j. What is the least common multiple of 5 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3376\/(-1477))\/((-4)\/21).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 22 = 3*b - 3*w + 6, -5*w = 15*b + 1 - 21 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2180, -2190, -2222, -2288, -2400, -2570, -2810?\n\"Answer: -2*v**3 + v**2 + v - 2180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 6*d. Let c(t) = -1. Let s(f) = -3*c(f) - x(f). Let u be s(3). What is the tens digit of (-413)\/u + (-5)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 25*l**2 + 69*l + 1704. Determine y(-25).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:06 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42279 is divided by 323?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 119.\nAnswer: -19\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 38*h - 135. Let q be m(-25). Solve -155*l = -q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*y - 10*u + 11*u, -y - u = 0. Suppose -8 + 32 = -4*p. Let x be (p - y)\/3*-4. Solve -x = 2*k - 0*k + 2*r, 6 = -4*k - 5*r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(-4) - (3 + 2). Let z = -31 - -18. Let s = -12.93 - z. Which is the third biggest value? (a) y (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-1) - 798\/(-98).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 6:01 AM?\nAnswer: 447","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1173 and 102.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 50 - 15*r - 53.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -29. Let n(d) = d**2 + 11*d - 9. Let x be n(v). Let q(j) = 2*j**2 - 5*j + 4. Calculate q(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1827\/8? (a) 0.4 (b) 5 (c) -0.1 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + -3.11. Which is the closest to 0? (a) 2 (b) j (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {p: 1, e: 2, x: 2, v: 1, g: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.957 take away 1036.27?\nAnswer: -335.313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**4 - 802*a**2 + 210*a + 324007813 wrt a.\nAnswer: -8*a**3 - 1604*a + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 425, 404, 373, 326, 257, 160?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/4997 (b) 0 (c) -0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 269327213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -41*n**3 + 2*n**2 - 3. Let l be f(2). Let b = l - -755. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -410*z + 8107. Calculate the remainder when l(12) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 38\/1109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9383, -75985, -256773, -608843, -1189291?\n\"Answer: -9516*l**3 + 3*l**2 + l + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 96\/(-112)*7\/1. Let y(m) = -7*m + 4. Suppose 7*r = 4*r - 5*z - 5, -23 = 5*r + z. Let l(u) = 6*u - 3. Give p*l(j) + r*y(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0*l**2 + 0 + 0*l**5 - 1\/105*l**6 + 0*l**4 + 0*l**3 - 4*l. Determine f so that i(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339706299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2 + 4. Let s be 42\/(-12)*(d - 3). Is 23*(s + -2) - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 11*w + 15. Let b be v(-12). Suppose j = -b*j + 88. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.26267mg in micrograms?\nAnswer: 48262.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 10120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 164143163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 77, 195, 379, 635, 969?\nAnswer: 1387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(384\/32)\/36*153?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**4\/12 + 17*c**3\/3 - c**2. Let f be k(-16). Suppose 0 = -f*u - 3*u + 330. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-10 + -2 + 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Let p be 2*-3*(-2)\/4. Suppose -10*c = 2 - 12. Sort p, y, c.\nAnswer: c, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**9)*i*i*i\/(i\/(i\/(i\/i**(2\/13)*i))*i*i))**14)**(-18\/7) assuming i is positive.\nAnswer: i**(-4284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74454600, -74454597, -74454594?\nAnswer: -74454591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1823, -3578, -4923, -5654, -5567?\n\"Answer: 34*g**3 + g**2 - 1996*g + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*x**4 + 5*x**3 - 7001*x**2 wrt x?\nAnswer: 2304*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88244328 to the power of 1\/2, to the nearest integer?\nAnswer: 9394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -9\/2*r**2 + 5*r - 1\/6*r**3 + 0. Let o be d(-8). Which is smaller: o or 2\/15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**4\/3 - 13*u**3\/6 - 339*u**2. Suppose -12 = n + 3*n. What is the remainder when t(n) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1636335 less than -0.1969?\nAnswer: -0.3605335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 1)*(-52 - -2). Suppose 5*s - 4*y - 23 = 75, -5*s + l = -5*y. Let x = s - -6. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 11, x: 2}. Give prob of sequence xbb.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2664*v - 3789*v - 4883*v as b*v + p and give b.\nAnswer: -11336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**3 + 10*j**2 - 16*j + 35. Let h(p) = -p**3 - p + 1. Let d(g) = -f(g) + 5*h(g). What is the remainder when d(10) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -207. Suppose -3*m - 45*y = -42*y - 69, -5*m + 95 = -5*y. Calculate the greatest common factor of m and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/7 + 10\/20)*(-2472)\/16686?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9715 - 29583. Is c\/(-6) - (-80)\/48 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 20046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**2 + 0*l**4 + 79\/6*l**3 + 41*l + 0 + 1\/10*l**5. What is the first derivative of g(i) wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 2*y**2 + 2*y - 2. Let q(w) = -10*w + 424. Let a be q(42). Let i(l) = 12*l**3 - 27*l**2 - 27*l + 27. Determine a*i(k) + 54*h(k).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(17) + 1 - (-4*(sqrt(17) - sqrt(68)\/sqrt(4)))**2 - (sqrt(102) + (sqrt(102) - 3*((sqrt(102)*2 - sqrt(102)) + sqrt(102))))\/sqrt(6).\nAnswer: 6 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 l when three letters picked without replacement from cpccclllcclwwcgc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(4\/(-6) + (-128)\/(-384)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**2 - 37*n - 6. Give b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrrz when four letters picked without replacement from mfmfymmffrrzrmfrrym.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 4 + 4. Let f(i) be the third derivative of 1\/4*i**4 + 0*i**3 + 10*i**2 + 0 - i. Calculate d(f(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -21\/16, -0.009, 50, -0.1?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2) + 2 - 4. Let o = -0.5 + 0.4. Let x be 6\/105*-1*5. What is the closest to x in -4, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.51822 to one decimal place.\nAnswer: 23.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 3*r**2 - 3*r + 1. Let h = -69 - -73. Let c be (-133)\/(-28) + 1\/h. Suppose -3*u + 2*i = -2*i + 16, 5*u + 25 = c*i. Calculate j(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*n - 226, 5*m = 5*n - n - 230. Let d be (-2)\/(-10) - (-44)\/n. What are the prime factors of (35 - d) + -14 + 10?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1724480 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 - 130022*b**2\/5 - 2731344*b\/5.\nAnswer: 2*b*(b - 65032)*(b + 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95265.0038 + 95224. Let p = 32 + -73. Let f = g - p. Round f to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d - -3d?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1161, 1958, 2755, 3552?\nAnswer: 4349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3977 - -20157\/5. Let c = z - 54. Is -34\/3 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*j**2 + 214*j**2 - 379*j + 17*j**4 - 111*j**2 wrt j?\nAnswer: 204*j**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -2.5 (c) 3\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 114894 = -2*x, 3*x + 574418 = 5*n - 0*x. Suppose 0 = -u + n + 53114. Round u to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-85)\/8 - 1)*-8. Calculate the highest common divisor of 248 and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 717464.9 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -8. Let y(n) = 1 + 4*n - 6 - 1. Let a be y(f). What is the highest common divisor of 144 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**2 - 3337472*h + 696169959424 = 0?\nAnswer: 417184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 3 - (2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 243 + -374. Let n = -128 - q. Solve 3*y = -n*b, -5*y - 2 = -b - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 184 + 0?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18822 + 0.68822. Sort -3, 0.4, 49\/2, f, 0.\nAnswer: -3, 0, 0.4, f, 49\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -366 - -1111. Let r = -744.9644 + v. Round r to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 3. Let k(w) = 11*w**3 + 10*w**2. Let o(y) = -3*d(y) + k(y). Let v(j) = 5*j**3 + 6*j**2 - 4. Determine 6*o(i) - 13*v(i).\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 7119.716.\nAnswer: 7115.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 33. Let t(j) = -j**2 + 16*j - 18. Let b be t(f). Calculate the highest common factor of b and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 12 = 0. Suppose k - 49*c + 47*c - 10 = 0, k = -4*c - 20. Suppose 9*p - s*p + 2991 = k. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18\/7? (a) 3 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h + 24. Let k(w) = 5*w + 24. What is -7*k(m) + 6*z(m)?\nAnswer: m - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -22, -0.199, 0.3.\nAnswer: -22, -0.199, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j - 936. What is the remainder when 67 is divided by s(79)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12351.028 and -340.19.\nAnswer: 12010.838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6*44\/154?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -92656423*y**2 - 39066685*y?\nAnswer: -185312846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -116 (b) -1\/2 (c) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/13 + 626*f**2\/13 - 49134*f\/13 + 48510\/13 = 0.\nAnswer: 1, 147, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 6*j + j. Let t(s) be the third derivative of s**4\/24 + 3*s**2. What is l(w) + 3*t(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmkoawi. What is prob of picking 1 a and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 33*k**2 + 1 - k - 5*k + 146*k**2 + 2*k. Calculate the remainder when v(2) is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4791841 weeks in nanoseconds?\nAnswer: 289810543680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.194 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1093?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 190 = 3*g, -306 = -4*x - 4*g + 70. What is the highest common factor of 46 and x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = 22*b - 46. Let a(j) = j**3 + 4*j**2 - 3*j + 3. Determine a(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**5\/60 - m**4\/24 - 2*m**3\/3 - 2*m**2. Let y(a) be the first derivative of i(a). What is y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttv when three letters picked without replacement from {c: 1, q: 5, v: 5, t: 7}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1037565653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35275, -141108, -317501, -564454, -881967?\nAnswer: -1270040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4552.7251 days?\nAnswer: 650.3893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*b**3*h**4 - 3*b**3 + 13*b*h**4 - b*h - 3 wrt h?\nAnswer: -52*b**3*h**3 + 52*b*h**3 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**2 + 1580*l - 124820 = 0.\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -58*o + 175. Let m be v(3). Solve m + 2 = r + 5*s, -15 = -5*r - 4*s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 931 + -14895\/16. Let y = 0 - 0. Sort n, -2, y.\nAnswer: -2, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 8:56 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 9:59 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*m - 64*m - 69*m - 62*m + 263*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**0\/p))\/(p**(-2)\/p)*(p*p\/p**(2\/17))\/((p*(p**(1\/9)\/p)\/p)\/p))\/(p\/(p*p**(-1))*p**(-1)*p)**(-45) assuming p is positive.\nAnswer: p**(8227\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*a - 2, n = 5*a - 6. Let u be (-50)\/(-20) - 2\/n. Find the third derivative of h**3 + 0*h**3 - 2*h**2 + 6*h**u wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2359968 and 72?\nAnswer: 7079904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Suppose 2*y = -y + w. Solve -3*r = 5*l - 4*r - 3, 3*l - 2*r = -y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z - 61. Let i be k(-13). Let h be 25\/(-5) - (1 + i). What is the nearest to h in 1\/2, 0.6, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*w - 2473 + 5513 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:11 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/150095 and 83\/770.\nAnswer: 2101330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*h - 185*h = 3*k + 95531, 23867 = h - 3*k. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2168 = 4*w, 0*w = 2*g - 2*w + 1092. Let m = g + 963. What are the prime factors of m?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 66 = 5*z + 23, -l + 4*z = 35 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 1. Calculate r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6*d + 30. Let l = 11 + d. What is the remainder when 18 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -804*n**3 - 2*n**2 + 1. Is q(-1) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 27 = 7. Let t(a) = 2*a**3 + 2*a**2 - a. Let h be t(1). What is the third biggest value in 5, h, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113191 + 56604 + d**2 + 56587.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 - 613926145739?\nAnswer: -613926145589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 5\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-62 - -34)) + -94.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v - 1. Let h(r) = -6*r**3 + 5*r + 5. Suppose 14*q - 15*q + 2*a + 7 = 0, 20 = 5*q + 5*a. Determine q*l(s) + h(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 1 - 7*p + 3*p. Suppose 5*d - v - 3 = -3*v, 4*d - 4*v + 20 = 0. Let k(b) = -4*b - 3. Determine d*k(q) + 3*r(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06 and -1836?\nAnswer: 1836.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -12*z**2. Let f(s) = -40*s + 16. Let g(h) = 26*h - 10. Let u(y) = -5*f(y) - 8*g(y). Give p(u(q)).\nAnswer: -768*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*y + 1026 = -48*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**2 + z - 7. Let r(g) = 41*g**2 + 15. Let o(y) = -9*y**2 - 3. Let k(c) = 4*o(c) + r(c). What is -3*a(d) - 7*k(d)?\nAnswer: -5*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.443 + 2.557. Sort 0, -1\/82, v in increasing order.\nAnswer: -1\/82, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63948967.\nAnswer: 63948967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -3*n. Let l(i) = -i**3 - 2*i**2 - 6*i - 2*i**n + 2*i**3 + 7. Let r be l(5). Solve -k = -2 - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -55327?\nAnswer: -11065.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/9, 3, 0.5, -24.\nAnswer: -24, 0.5, 22\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115 + 93644\/(-820))\/((-4)\/210).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*y + 1943 = -267 - 170 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 566*r - 5253. Calculate o(273).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*u - 3*b + 22, 4*u = -4*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1208099, 3, 4, 6, -1, -5, 0.\nAnswer: -5, -1, 0, 3, 4, 6, 1208099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-6)*(-7)\/(-35). What is the second smallest value in -8, -0.1, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 12:03 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22051 is divided by 565?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + d = -1 - 6, 5*a - d = 15. Let h be 0 + 7\/(14\/a). Solve -3 = k - h*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a + 1. Let x(i) = i - 1. Let y(h) = s(h) - x(h). Let d(c) = -3*c - 12. Let u be d(-5). Is y(u) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -617*h + 614*h + 66. Calculate 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 next term in 1131, 1089, 1045, 999, 951?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -30 + (17 - 16)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1092 and 17004.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 13*a = 160. Let r be (-9)\/15 + a\/(-25). Solve 0 = -4*m + 2*b + 2, -3*b - r = 4*m - 4*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*a**3*h + 21*a**2*h - 18*a*h + 6860*h - 23 wrt a?\nAnswer: 66*a**2*h + 42*a*h - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 2, c: 1, k: 4, w: 1}. Give prob of sequence ckck.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 1 = x. Let v(b) = 1 - 2 + x - 2*b**2. Let r(l) be the second derivative of -l**3\/3 + l. Give v(r(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -324 - -921. Suppose -d + 37 = -10*a. Calculate the highest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(1\/(-64)). Suppose 2539 - 2511 = 4*y. Suppose d + y = x. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = -11. Suppose 4*y - s*a - 200 = 0, 2*y + 2*a - 229 = -3*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 3*h = 5*s - 21, 4*s + 5*h + 48 = 2*h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49548 and 2979?\nAnswer: 49201164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*f, -8*f = -3*f + 5*u. Let o(a) = -4*a. Let k(d) = 23*d + 1. Let w(m) = -k(m) - 6*o(m). What is w(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from {h: 9, o: 7}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4422 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(131\/6419)*10\/2*-1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -2*x**5\/5 - 9*x**4\/4 + x**3\/3 - 17*x**2\/2 - 74. What is the third derivative of h(z) wrt z?\nAnswer: -48*z - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10411850 to the nearest integer?\nAnswer: 3227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4224, 8447, 12670, 16893, 21116, 25339?\n\"Answer: 4223*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6211 (base 7) to base 9\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -85470 divided by -22\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = 7*p + 16 - 103. Determine t, given that 78\/7*t**2 + 4\/7*t**4 - 16\/7*t - 34\/7*t**p - 32\/7 = 0.\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 - 87\/2*v - 48*v**2 - 3\/2*v**3 = 0 for v.\nAnswer: -31, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16096\/5, 13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0117230069 rounded to 4 decimal places?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 38. Let u = 33.9 - 33.6. Sort -5, n, u, -1\/2.\nAnswer: -5, -1\/2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-4\/15)*q)**(-23)*q**(-15)\/((q**(-3\/14)\/q*q)\/q*q*q*q) assuming q is positive.\nAnswer: q**(-11897\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10 = 5*b, -5*d + 0*b = -b - 6. Solve -4*o + 6 = -3*l + 1, 0 = d*o - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -2617?\nAnswer: -2611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 504083803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = -5*y. Let x(m) be the third derivative of m**6\/120 + m**5\/30 + m**3\/6 + m**2. What is the units digit of x(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Suppose 2 - 2*q**2 + 6*q**j - 5*q - q**2 + 0*q**2 = 0. What is q?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 36*a. Let t(h) = -2980*h**2 + h. Give t(d(u)).\nAnswer: -3862080*u**2 + 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-10 - (0 - -10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -4718.\nAnswer: -4717.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/2, -153, 1\/3, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 818509\/40 - 101784\/5. Let o = 106 - l. What is the common denominator of 109\/12 and o?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - w = 1, 5*l - 7 - 16 = -w. Suppose l*s - 132 = s. Calculate the remainder when 87 is divided by s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(13\/(-2) + 2). Let k(y) = -y**2 - 9*y - 8. Let d be k(-7). Let q = -3 + d. Which is greater: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 1:24 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from coccwoocccccowcooc. What is prob of picking 2 o and 2 c?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 3*f - 4. Let c(z) = z**3 + 4*z**2 - 7*z + 9. Give 4*c(j) + 9*u(j).\nAnswer: 4*j**3 - 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 40. Suppose 3*s - 23 = -2*p, -5*p + 2*s = 4 - 14. Solve x + b = 3*y - 4*y, -2*y - 24 = p*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384 = 4*n + 60*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681 take away -18240311?\nAnswer: 18243992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1470 divided by 10.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -2 + -1)\/((-3)\/(-12)). Let t(z) = -4*z - 3. Let h be t(-3). Let x be h\/1 - (l + -3). What is the highest common factor of 80 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - h - 210. Let c be y(0). Suppose -7*r - 11*r + 72 = 0. List the prime factors of -2*c\/r - (0 + 3).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 237, 234, 231?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of x**6\/15 - 9*x**5\/5 - 83*x**4\/4 - 14*x. Find the third derivative of s(h) wrt h.\nAnswer: 48*h - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {y: 2, f: 1, u: 2, p: 1, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27365815.\nAnswer: 5, 67, 81689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-4*4*sqrt(187)*-1)\/(((sqrt(77) - (sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) - 5*sqrt(77)))))*-2)\/sqrt(7)))**2.\nAnswer: 308\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (4\/(-12))\/(1\/5)*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(36\/(-4))\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/32*6\/15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -1 - 3 + 5 - 2*h**2 + h**2 - 4*h**3. Give t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84c24 (base 14) to base 5.\nAnswer: -40230223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 10 = -3*z, z - 5*j + 1330 - 1355 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 98, 194, 290?\n\"Answer: 96*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:40 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5 + 153*f**4 - 189*f**3 - 5145*f**2 = 0.\nAnswer: -5, 0, 7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2222*h**6 + 13*h**5 - 12*h**3 - 720*h**2 - 1803*h?\nAnswer: 266640*h**3 + 780*h**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*sqrt(7) + (sqrt(504)\/sqrt(9))\/sqrt(8) + sqrt(7).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301 - -42430?\nAnswer: 42124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520 = 203*i - 36*i + 219 + 2102 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 2*y**2 - 2*y - 2. Let q be t(-2). Let z = 30 + -27. What is n in -n + 3*n**q + 0*n**4 + n**4 - 3*n**z + 0*n = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2561442926.\nAnswer: 2, 7, 182960209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3, -22 in decreasing order.\nAnswer: 3, 2\/11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - q)*(-5 + 4 - 2 + (-1 - 1 + 0)*(0 + 0 - 2))*(5*q**3 + 2*q**3 - q**3).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s + 72. Is 6 a factor of z(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - 13030?\nAnswer: -13053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002275725 rounded to 6 dps?\nAnswer: -0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 3\/44 (c) 2\/13 (d) -0.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.409992 centuries?\nAnswer: 940.9992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*v + 8*v + 3*v)*(-577 + 37*v + 577) - 3*v**2 + 3*v**2 + v**2 + 22*v**2 + 21*v**2 + 9*v**2 as p*v**2 + r + t*v and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1644 + 1644 - 71*h)*(42 - 8*h - 42) as b + g*h**2 + w*h and give g.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 5941128?\nAnswer: 5941127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13117136 and 0.3727.\nAnswer: 13117136.3727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n - 2 + 2)*(1 - 1 - 1) + n - n + 2*n)*(-n + 4*n - 4*n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -5. Suppose -4*p + 2*g + 30 = 0, -2*p - g + 9 = -0*g. Calculate the least common multiple of p and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**2 + 6*d**2 + 2*d**2 + 0*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458 divided by 11.\nAnswer: -458\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*p - 32, 6*x - 3*x + 36 = 5*p. Let o(t) = 2*t**2 - 2*t - 6. Is 29 a factor of o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -34. Suppose 5*p - 253 + 18 = f. Find the second derivative of 55*u**4 + 6*u + p*u**4 - 105*u**4 wrt u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.001, 0.5, -2731?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -22. Let s(n) = 5*n**2 + 8*n - n**m + 0*n**2 - n. Let c be s(-2). Solve -f + 2 = -c*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hccccccbccbcbccbcb. What is prob of picking 1 h and 1 c?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41225600 divided by 64?\nAnswer: 644150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**5\/4 + 3*l**2. Let z be r(-2). Suppose -4*p + z = -p. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*c**3*q**2 - 9*c**3*q*v**2 + 2*c**2*v + c*q**2*v**2 - 13*c*q**2*v - 6*c*v**2 wrt c.\nAnswer: 132*c*q**2 - 54*c*q*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3960265 to the nearest integer?\nAnswer: 1990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*r - 19, 8*r - 4*r = -2*l + 10. Suppose -q + 480 = r*q. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.33+10\nAnswer: 11.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212 + -192. Let g(r) = r**2 - 11*r + 42. What is the remainder when g(a) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(539)*-2*-3 + 0 + sqrt(539) + -1 + sqrt(539) + 3*((sqrt(539) + sqrt(539) + sqrt(539) + 1 + sqrt(539) - sqrt(539)) + -4))**2*3.\nAnswer: -2805678 + 42840*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - -104. Let h = 1511 - f. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-639)\/(-71994))\/(18\/(-39)))\/((-2)\/4).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 2327\/8 - (-2 - (-15)\/8). Calculate the highest common factor of 840 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5399243 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 20. Solve j - w - 6 = -f*w, -2*w - 4 = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 + 456*x - 22894. Let s(n) = 2*n**2 - 449*n + 22895. Let c(g) = 4*s(g) + 3*y(g). Factor c(v).\nAnswer: 2*(v - 107)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100000101001?\nAnswer: 100000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13826002 by -113.\nAnswer: 122354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 647004771.\nAnswer: 647004772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 + 1. Let v be a(1). Let z(o) = -5*o + 0*o + 2*o - 6 + 3. Let g be z(v). Solve -d + g*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 201*k**3 - 200*k**3 + 1 - 2*k**2 + 9*k**2 to y*k**3 + d*k**2 + v + s*k and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 + 2*x**4 + x**4 + (2*x - x + 0*x)*(0 - 1 + 0)*(11 - 11 - 12*x**3).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 231 = -9*d + b, 3*d = -4*b + 319. Let h be 1116\/10 - 10\/(-25). Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -270 + 273. Let a = -42 + 99. Suppose m*f - a = 2*o + 48, f = 5*o + 35. What is the remainder when f is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 291836336 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -422, 1925, 8302, 20725, 41210, 71773, 114430?\n\"Answer: 336*y**3 - y**2 - 2*y - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.05 - 2. Let z = -179\/2 + 88. Let v = -51337\/9 - -5704. Put z, v, o in ascending order.\nAnswer: z, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 4*o**2 + 5*o + 1. Suppose 5*l - z = 4*z, 25 = 5*z. Let b be k(l). Suppose 5*g - 9 = b. Solve 0 = -7*d + g*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-10)\/50 + 1214\/(-30) + -12. Suppose -4*y - 122 = 90. Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53 in 3, 0.5, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -157, -515, -1213, -2365, -4085, -6487?\n\"Answer: -19*c**3 + c**2 - 2*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5112 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-nine quarters of a gram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 187 - 182. Let a(q) be the first derivative of 0*q**2 + 0*q**p + 4\/3*q**3 + 0*q**4 - 2 + 5\/6*q**6 + 0*q. What is the third derivative of a(o) wrt o?\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w - 4. Suppose -y = 2*y + 24. Let v be q(y). Let s = v - -3. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*u = -0*r + 50, -3*u = r - 85. Let o = 140 - r. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -2*o - 3*q, -3*o - 3 = 3*q. Solve 2 - o = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*l**4 - 13*l**3 - l - 35497 wrt l.\nAnswer: -360*l**3 - 39*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a6 - -1?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1718758, 6875040, 15468842, 27500164, 42969006?\n\"Answer: 1718760*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14436411, 14436208, 14435869, 14435394, 14434783, 14434036?\n\"Answer: -68*n**2 + n + 14436478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 50, 6, 339, -3 in ascending order.\nAnswer: -5, -3, 6, 50, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 7) to base 2.\nAnswer: -1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1740248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68cfcc (base 16) to base 5.\nAnswer: -3224301230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 51*m + 23. Let j(p) = -26*p - 11. Let g(f) = 11*j(f) + 6*n(f). What is the remainder when g(5) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 10:10 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 280, 670, 1364, 2464, 4072, 6290?\nAnswer: 9220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042421 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 125000570*v - 781257125016245.\nAnswer: -5*(v + 12500057)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21100220001000 - 202?\nAnswer: -21100220001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2872*l + 2869*l = 0. Let d(f) = f - 16. Calculate d(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/27)\/j)**(-37)*(j\/j**(5\/6))**29)**(-36) assuming j is positive.\nAnswer: j**(-818\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112 - 101?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 + (-3 + 0 + 4)*(1 - 2 + 0) + (15 - 4 - 1)*(-3 + 1 + 3)*(-5 + 1 + 3))*(0*q - 4*q - 10*q).\nAnswer: 126*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -28606 (base 9) in base 8?\nAnswer: -45766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from chcrlh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 37 - 32 = 0. Sort -2, q, 0 in decreasing order.\nAnswer: 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.597 or -10?\nAnswer: 0.597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/176*715\/7020*27?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -214*g. Let j(d) = -5*d + 59. What is j(t(z))?\nAnswer: 1070*z + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 6 = -3*a. Let g(z) = z**2 - z - 2. Let p be g(a). Solve -p*u + 2 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ae7aa98 - 1?\nAnswer: ae7aa97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 635 - 618. Let s = 47 + 4. Calculate the greatest common divisor of s and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 2:04 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 23 - 26 - 65)*(1 - 5*h**2 - 1).\nAnswer: 585*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-36))\/((-8)\/6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1278285*s - 213928?\nAnswer: -1278285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 2*y = 1996 - 1986, 0 = -4*c + 2*y + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -327.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.130576 litres?\nAnswer: 4130.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 12:09 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + (0 - 0) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(-1 + sqrt(396) + 4 - (sqrt(396) - (-5 + sqrt(396) + 2 + sqrt(396)))))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.012, 2\/11, 2\/7 in ascending order.\nAnswer: 0.012, 2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 17 = -3*z - 1, 3*z - 14 = -4*m. Suppose 881 = 5*h - k, m*h - 19 - 328 = -5*k. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 4635.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 16 = -5*z, 34*q = 32*q - 5*z + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (525\/(-84))\/((-1)\/4). Is 29 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686774392 to the power of 1\/2, to the nearest integer?\nAnswer: 60719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542940, 542524, 542108, 541692?\nAnswer: 541276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 5*a + 281 - 81, 10*o - 15*o - 3*a = -120 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85.754 + -183128743.\nAnswer: -183128828.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*(-2)\/(-3)*32\/((-2560)\/270)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o - 18*o - 39*o - 47*o in the form y*o + k and give y.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 6 + 18. Suppose -d = -5*l - 5, 2*l = 2*d - 0*l - 34. Suppose 4*g - f*g + d = 0. Calculate the highest common divisor of g and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9903973215 and 0.2.\nAnswer: -9903973214.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 19*v + 3. Let m be f(-2). Let p = 37 + m. Let y be 2\/(-9) + 65\/9. Solve -3*a - 5*s + 33 = y, -5*s = p*a - 24 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11*z*(z*z**(-16))\/z)\/(z**(-1)\/((z*z**(8\/11))\/z)))**19 assuming z is positive.\nAnswer: z**(-475\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1060811?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1\/4 (c) 2\/77 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 6:22 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1354 + 1353.97. Which is the closest to -1\/18? (a) -0.4 (b) r (c) -0.5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 72*h**2 - 143*h - 272. Let f be n(74). Solve -5*w + 78 = f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117 + 1117 - 34376*g.\nAnswer: -34376*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c377 (base 13) in base 6?\nAnswer: -1445151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 30. Let q(s) = 7*s**3 + 10*s**2 + 6*s + 17. Let i(h) = -9*h**3 - 11*h**2 - 8*h - 19. Let z(u) = 4*i(u) + 5*q(u). What is z(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1224418?\nAnswer: 2, 13, 47093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21670 divided by -10?\nAnswer: -2167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 239521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let y(m) = -m**3 - 3*m**2 + 2*m - 2. Let n be y(-4). Let z(p) = -p**2 + 7*p - 6. Let s be z(6). Solve s = n*g - h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -284 and -565\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**5\/15 + z**4\/12 - 25*z**3\/3 - z**2\/2 + 17. Let r(s) be the third derivative of b(s). Give r(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*p**3 - 40*p**3 - 44*p**3 - 39*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0) + (-5)\/(-5). Let v = 98052 + -98046. Suppose 4*s - 1 = -m - 6, -3*m = -5*s + 15. Sort v, w, s.\nAnswer: w, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36, 76, 154, 288, 496, 796?\n\"Answer: 3*p**3 + p**2 + 16*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -18549*g - 407497. What is b(-22)?\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/15 - 2486*y**4\/5 + 1592552*y**3\/15 - 80270456*y**2\/15 - 16804736*y - 170200576\/15 = 0.\nAnswer: -3934, -2, -1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*a + 637 = -66*a. Solve 0 = 4*v + 5*o - 22 + a, 5 = 2*v + 3*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4727 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 12:21 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -18 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + (-9 - (-16 + 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353*z + 4*j - 2217600 = 349*z, -1108800 = -2*z + 2*j. Round z to the nearest 10000.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/623, 0.3, 4?\nAnswer: -2\/623","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 2, 3, -15, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24581, -24582, -24585, -24590?\nAnswer: -24597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -5) + -17 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m + 2*f - 8, 5*m = -5*f + 20. Let l be m + (0 - (-1 + -1)). Suppose -5*y = l*t - t - 159, -3*t = y - 29. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364170 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = l + 30, 265 = -4*l + f. Let o = l + 73. Let w(h) = -h**3 + 7*h**2 + 8*h + 1. What is w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*((-3)\/(-6))\/(-1). Put 1, -4, l, 0 in increasing order.\nAnswer: -4, l, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7401182638 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1 - -3) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 7, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -0.15. Let t = s + 1.3. Let p = t + -2.5. Which is greater: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i*i**12)**(1\/34) assuming i is positive.\nAnswer: i**(20\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 + d**2 + 0*d**2)*(-23 + 9 - 11) to the form k*d**2 + y + m*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*p**2 - 9*p**4 - 23*p**3 + 16 + 11*p**4 - 9 + 22*p**3 to k*p + l*p**2 + m*p**3 + r*p**4 + v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2462 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/9)\/(6\/342). Let w = -12 - v. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071235 to 6 decimal places.\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/(-420))\/(7245\/210)?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472602 - 945199 - 974*t**2 + 472597.\nAnswer: -974*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0888079 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -514.2 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1. Let s(y) = y**2 + 9*y + 4. Let f(a) = -4*d(a) - s(a). Let w be f(-9). Solve 0 = -w*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 + -111. Let d(f) = f + 10. Let k be d(-6). Solve 1 = v - x + n, -2*v = k*x + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88788 divided by -302\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d*d**(-6)\/d*d*d**(2\/19)*d*d\/(d**(3\/2)\/d))**(-2) assuming d is positive.\nAnswer: d**(433\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -371 (b) 0.1 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48\/(-88) + (-266469)\/(-231). Which is bigger: c or 1151?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let k be h(-4). Let u(f) = -k*f + f + 5*f - 4*f. Let v(l) = -6*l. Determine v(u(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 = 4. Let i = 18 + 9. Let q be -2*(i\/n + 1). What is the highest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343.3 - 343. Are d and 180 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*v - 12 = 5, v = -2*m - 7. Let i(z) = -z + 1. Let w be i(m). What is j in -j**5 + 4*j**2 - 7*j**3 - 4*j**w + 8*j**3 - 4*j**3 + 4*j = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -557 divided by 563?\nAnswer: -557\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -13*w - 1. Let l(s) = -41*s - 4. Let h(r) = -7*f(r) + 2*l(r). Let a be (3 + -4 + -1)*-11. Let i be (-33)\/a*(-4)\/(-3). Give h(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**4 + 57*l**3 - 210*l**2 = 0.\nAnswer: 0, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 4:40 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7638324 + 20649*b + 7638324 as d*b + a and give d.\nAnswer: 20649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 + 136*p**4 + 9*p**2 - 254*p wrt p?\nAnswer: 40*p**3 + 1632*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 + 112 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuxxxuxx. What is prob of sequence xuu?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 15*v + 3. Let y = -57 + 50. Let b be l(y). Suppose 0*s = 5*s - b. Solve -3*p + 10 = s*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -23*g + 26*g - 5*b, 0 = -3*g + b + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9370557*s = 9370216*s + 8866 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from zsoooejo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -254, -316, -420, -566, -754, -984?\n\"Answer: -21*p**2 + p - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/76 - -27\/38. Find z, given that 3\/2*z**4 + 0*z**3 - 3\/2*z**2 + 3\/4*z**5 + 0 - x*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20*(-1)\/(-6))\/((-72)\/(-324))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -133. Let x = -111752.037 + 111682. Let o = v - x. What is o rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(-4 + -4*((1 + sqrt(320))*-2 + 1 + 1 + sqrt(320))))**2*1.\nAnswer: -1024*sqrt(5) + 20547","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3834286 to the nearest 1000.\nAnswer: -3834000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2 + 112*x + 4*x**2 + x**3 - 108 - 53*x**2 + 16*x**2 = 0. What is x?\nAnswer: 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1384*(-19)\/(-1672) - 16\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-15))\/(4\/78). What is the greatest common divisor of d and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.77, 4\/7, 4, -5, 3, -1, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7))**(6\/5) assuming j is positive.\nAnswer: j**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 124*x**2 - 2269*x + 678. Determine k(18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 588 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 11*t**2 - t - 13. Let q be ((-972)\/20 - -4) + 3\/5. Let r = -38 - q. Suppose -v - 14 = a, -3*v + 2*a - 21 = r. Determine x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63881 is divided by 9124.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/66 + 5*k**3\/33 - 63*k - 99. Let p(a) be the first derivative of d(a). Factor p(q).\nAnswer: 2*q*(q + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*((-5*a - 1 + 1)*(3 - 4 + 0) + (-1 - 5 + 4)*(-4*a + 5*a + 0*a))*(-a**2 + 3*a**2 + a**2).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 5 - 2) + (-6 - (7 + -13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1323*m - 1272*m = -612 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -462, 1\/4, 4, 5, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 4:58 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000114476 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*w + 59, -1442 + 1416 = 4*s + 2*w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = j + 82. Let n = j - -131. Solve -6 = 3*k + 3*g, 4*k - n + 11 = 4*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124746881 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h - 2. Suppose -p + 1 = -0*p. What are the prime factors of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 3*l**2 - 4*l + 3. Let z be k(-4). Suppose z*d - d = -2. What is the common denominator of 13\/8 and (-89)\/8 - (d - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 9) to base 16.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -307 + 20*n + 189*n - 88 + 117 + 0*n. List the prime factors of u(6).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4457 is divided by 2175.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22232 + 22340. Calculate the remainder when 200 is divided by l.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.670304l?\nAnswer: 9670.304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z. Let v(p) be the third derivative of -29*p**4\/24 + 40*p**2. Determine v(l(h)).\nAnswer: 87*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 9*g = 60 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from aaalaclfaccall.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*((-282)\/94)\/((-2)\/4*-15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3641 - -3640.9. Which is bigger: 1304 or d?\nAnswer: 1304","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 70*y**2 + 1037*y - 224. Calculate the remainder when o(49) is divided by 354\/9*3\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604055383.\nAnswer: 604055383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 253 = -3*n, -5*w + 157 = 2*n + 19. Let y = -397\/5 + n. Put -4, 3, y in increasing order.\nAnswer: -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 754340 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 + 160*r - 199104 = 0. Calculate r.\nAnswer: -244, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 6*l + 2 + 4*l - 3*l. What is the smallest common multiple of g(-8) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178 or -177?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(540)*-2 - sqrt(540))\/((sqrt(144)*-2)\/sqrt(12)*6).\nAnswer: -7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 43243*g**2\/4 + 4*g = 0. What is g?\nAnswer: -16\/43243, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (620\/(-186))\/(-3 - (-354)\/108)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*2 + (-1156)\/(-306). Let h = -0.08 + 0.16. Let p = 2.92 + h. What is the third biggest value in z, 0.3, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 - 2566*n**3 - 2576*n**3 + 7704*n**3 - 2565*n**3.\nAnswer: -3*n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, 30, 109, 220?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3424167, -6848333, -10272499, -13696665, -17120831?\nAnswer: -20544997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5301, 5292, 5229, 5082, 4821?\n\"Answer: -5*o**3 + 3*o**2 + 17*o + 5286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 304024 divided by 43432\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*b**2*s**2*u**3 + 70*b**2*s**2*u**2 - 108*b*u**2 + 3*s**2*u - 6*s**2 - 2*s*u**3 wrt b?\nAnswer: 94*s**2*u**3 + 140*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30436 and 147?\nAnswer: 639156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 4:38 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -481, -720, -957, -1192?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 2. Calculate q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -448, -468, -484, -496?\n\"Answer: 2*b**2 - 26*b - 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -d - 6*h + 3, -3*d + h - 1 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10)*f*f*f**10)**(-14\/3) assuming f is positive.\nAnswer: f**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)*2\/6. Let r be -4 + 1 + 24 - m. Let p = r - 16. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221022122 - 1002?\nAnswer: -1221100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 1. Let t be n(-6). Let u = t + 5. Find the second derivative of 2*w + 2*w**4 - 3*w**4 + u*w wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*i - 17*i - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4482*y + 8962*y - 4484*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12967222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 29*v**2 + v + 39. Let n(o) = -2*o**2 + 8. Give 5*n(j) - u(j).\nAnswer: j**3 - 39*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u + 2*u. Suppose 4*h = -23*q + 21*q - 28, -7 = -3*q + h. Solve 3*m - t + 5 = q, 17 = m - 4*t + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -266.9595 times 29\nAnswer: -7741.8255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 17*f**2 + 12*f + 39. Determine j(-16).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, j: 3, k: 10}. Give prob of sequence jkjf.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:22 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcs when three letters picked without replacement from {s: 4, m: 1, p: 3, c: 2, u: 1}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1993*d**3 + 10*d**3 - 48166*d**2 + 94217*d**2 - 48874*d**2 wrt d.\nAnswer: -11898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 1:54 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1056.4158 + 1058.4. Round b to two decimal places.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 2. Let z(g) = 2*g - 14. Let n(d) = 3*q(d) + z(d). Determine n(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1316, -1286, -1256, -1226, -1196, -1166?\n\"Answer: 30*u - 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78549 is divided by 3146.\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctvtttccucz. What is prob of picking 4 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -68\/5*j - 2\/5*j**2 - 578\/5 = 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3455654, -3455640, -3455608, -3455552, -3455466, -3455344, -3455180, -3454968?\nAnswer: -3454702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(5\/6)*s*s\/s**(-2\/77)*s*s assuming s is positive.\nAnswer: s**(1937\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2603 + 6415. What is the greatest common factor of 167 and z?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/6))**(-13))**(3\/11) assuming v is positive.\nAnswer: v**(-13\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-89 - -85)*6\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 7. Suppose d = 3*u + 15, 4*d - f + 17 = -2*u. What is the derivative of d - 6*z**2 + 0 - 3 wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1786035301?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 597 = 2*k. Let v(d) = d**3 + 5*d**2 + 4*d - 4. Let b be v(-4). Calculate the remainder when k\/10 + b\/10 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 83. What is the first derivative of -12*b + 2 - 6 + 12 + g wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 + 1279*q**2 + 3824*q - 5104.\nAnswer: (q - 1)*(q + 4)*(q + 1276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -100*(27\/(-12) + 1). Let u be 12*a*4200\/9. Round u to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/28 - 0) + (-276)\/(-14). Let x be 120\/18*(-126)\/(-28). Calculate the greatest common divisor of m and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlnda. What is prob of sequence dah?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x - 3*x - x)*(-4 + 2 + 1)*(3*x - 20*x - 20*x)*(-x - x + x) to the form s*x + c*x**3 + y*x**2 + j and give c.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/(6\/9*1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5) - (-51)\/15. Let b(g) be the first derivative of g**r - 2*g**2 - 6\/5*g**5 + 0*g + 2*g**3 + 1. Solve b(s) = 0 for s.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {s: 2, i: 1, m: 3, v: 3, x: 3, g: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 1054048?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -29*g - 3. Let o(w) = 38*w + 4. Let z(j) = -4*m(j) - 3*o(j). Let k(r) = 1003*r**2. Give z(k(c)).\nAnswer: 2006*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -26590*g - 53162. Determine j(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3362945022 to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(24)\/sqrt(54) + sqrt(4)))**2.\nAnswer: 153\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0 - 16. Let n be (-2 + 3)\/((-2)\/g). Which is the smallest value? (a) 0.3 (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*m**4 + 197*m**4 + 229*m**4 + (0*m + 2*m + 0*m)*(m**3 + 0*m**3 - 9*m**3) to the form d*m**3 + q*m**2 + c + f*m**4 + w*m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4\/2 + 111*b**3\/2 + 327*b**2\/2 + 325*b\/2 + 54 = 0.\nAnswer: -108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*r - 52*r + 17 + 114 + r + 0*r + r + (-3*r + 6*r - 4*r)*(-1 + 1 - 1))*((1 - 3 + 1)*(-2 + 4 - 1) + 1 - 5 + 0) as i*r + u and give u.\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12330955029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3680, -3682, -3684, -3686, -3688?\n\"Answer: -2*l - 3678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -30710?\nAnswer: -30711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 8:38 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2. Let x(t) = 177*t**2. Calculate h(x(k)).\nAnswer: 93987*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jvvsvjvssjvsvjs. What is prob of sequence sjv?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 103397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1597 - 1601. Sort c, 2, 27 in ascending order.\nAnswer: c, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 1010415*x - 7072660.\nAnswer: -5*(x - 202076)*(x - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 694 - 769 - u**3 - 37*u**2 + 0*u**3 + 118*u. Let t be h(-40). Determine f, given that -3\/5*f**4 + 3\/5*f**3 + 0 + 3\/5*f**2 - 3\/5*f**t + 0*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 9*n - 1. Let p = 59 + -52. Determine d(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 3:38 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucbbbcecbccccb. Give prob of sequence bc.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9055, -17370, -25685, -34000, -42315, -50630?\n\"Answer: -8315*g - 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(40) + sqrt(10))*4 - sqrt(10))*-3)\/((2*sqrt(180) + sqrt(180))*-5 + sqrt(180)))**2.\nAnswer: 121\/392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 0 (c) 0.082 (d) -5 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/14)\/(153\/(-102))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by 5.\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 w, and 1 i when three letters picked without replacement from owliabl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 19 + 4 = 0. Find the second derivative of 4*n**3 - 3*n**2 + i*n**2 - n + 2*n wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 5 = -4*g. Let y(k) = k**3 - 6*k**2 - 6*k - 9. Let n be y(g). Let q be 35\/(-11) + n\/(-11). Sort 2, q, 0 in descending order.\nAnswer: 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*-1*9\/(-6). Let g be ((-64)\/(-24))\/(c\/(-15)). Calculate the highest common factor of g and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22831 = -328*f + 407*f. Is 579\/2 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2693710961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3 - 3*g - 1 + 2*g + 5*g. Let s be u(2). Differentiate 0*x**s + 0 - 5 - x**4 + 0*x**4 with respect to x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2956.\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 20034.9 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 65\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -7. Let u(d) = 15 - 10*d + 0 - 7*d. Let w(i) = -8*i + 7. Determine o*u(b) - 13*w(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/3 - 20*b**4\/3 + 95*b**3\/3 + 80*b**2\/3 - 300*b + 336 = 0. What is b?\nAnswer: -3, 2, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 - -112. Which is the second smallest value? (a) 0.1 (b) -0.5 (c) w (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 28*v + 26*v = -76165, g = 4*v + 25407. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -505ad0 (base 14) to base 7\nAnswer: -31664150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 245 (b) 32\/25 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -10, 36, 138, 314, 582, 960, 1466?\nAnswer: 2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 15*v - 13. Let k be p(-16). Solve 11 = k*x - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/1980*-18*18\/(-27).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v**5 + 7428*v**4 + 711052*v**3 + 3126972*v**2 + 1340968*v - 1082400 = 0 for v.\nAnswer: -75, -4, -1, 2\/5, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640220 is divided by 12604.\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/64*-18)\/(18\/24)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 27*i**2. Let p(t) = 123*t. What is p(w(x))?\nAnswer: 3321*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 8*v + 24. Suppose -629 - 798 = -v*y + 5*u, 5*y - 2403 = -4*u. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u - 1\/24*u**4 + 0*u**3 - u**2 + 0 - 3\/10*u**6 + 1\/5*u**5. Factor k(q).\nAnswer: -q*(6*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -2 (b) 2\/9 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjh when three letters picked without replacement from {k: 2, j: 1, h: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 4*v. Let x be d(-3). Let q be (2\/3)\/(2\/x). Suppose 452*c - 224*c = 186*c. Solve c = n + q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728*z - 699*z - 3*d - 16 = 8, -4*d - 32 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46118*t**4 - 2694*t**2 - 11 wrt t?\nAnswer: 1106832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-25))\/((-1)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -65. Let a = r - 1. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a8bb (base 12) to base 3\nAnswer: -221110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 - m. Let z be k(2). Let g(q) = q**3 - 14*q**2 + 25*q + 109. Let p be g(11). What is the highest common divisor of p and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*j = 6*i - 4, i + 5*j + 22 = 0. Let s be i + -4 + 3 - 1. Is -1*s\/2 - -46 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -29, -46, -79, -134, -217, -334, -491?\n\"Answer: -t**3 + t**2 - 3*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80966*i + 80946*i - 440 = 0 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from xeyglgefxllg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(152))\/(sqrt(48)\/sqrt(24)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 161*x**2 + 114161*x + 8501. What is d(-709)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k - 2. What is the remainder when -10 - 8\/((-96)\/4500) is divided by m(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5073, 5098, 5123, 5148, 5173?\nAnswer: 5198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a century in years?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10022, -9991, -9910, -9755, -9502, -9127, -8606?\n\"Answer: 4*y**3 + y**2 - 10027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + o + 5 = 2*h, 4*h + 16 = -5*o. Let t(y) = -86 + 185*y**2 - 113 + y + 197 - 64*y**2. What is the tens digit of t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32\/9? (a) -5\/2 (b) 67 (c) 3\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -40859 (base 11) to base 10\nAnswer: -59596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4434, -8865, -13296, -17727, -22158, -26589?\n\"Answer: -4431*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 3*h**3 + 13*h**2\/2 - 4*h + 197. Let r(o) = 2*o**2 + 3*o - 1. Give -6*b(p) + 26*r(p).\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.078 - 1.078467. Round q to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5596, -26876, -62334, -111964, -175760, -253716, -345826, -452084?\n\"Answer: h**3 - 7095*h**2 - 2*h + 1500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**2 + 6*n + 1. Let o be y(-4). Suppose 4*m = -5*l - 571, -9*l = -12*l + m - 329. Let s = o + l. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -c + 7*h, 4*h - 19 = 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 11:45 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 29. Let r = -25 + 8. Let l = g - r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 0 - 605*h + 745*h to the form k*h + d and give k.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108936 and 94518.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4814110 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f - 6. Let m(z) = 7 + 5 + 5 + 20*z - 8. Let j(p) = 5*m(p) + 8*x(p). What is the units digit of j(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, w: 10, n: 1, p: 1, t: 2}. What is prob of sequence tn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 38*a - 543. What is c(26)?\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -111*h**2. Let l(y) = -49 - 2*y**2 + 25 + 24. What is k(l(i))?\nAnswer: -444*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*b = -161*b + 4*p + 16, 2*p = -4*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 - (6 + -1 - 9) - -14\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 972423759?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 + 237. Suppose s = -4*s + r. What is the greatest common divisor of s and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 19*l**2 + l. Let o be r(1). Is 15 a factor of (15\/o)\/(2\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1552, 1553, 1556, 1561, 1568, 1577?\nAnswer: 1588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u**4 - 115364*u**3 - 110736024*u**2 - 265194352*u - 88367360 = 0.\nAnswer: -10480, -1054, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 5\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*2 + 5 - -5*sqrt(21)\/sqrt(3)*6)**2.\nAnswer: 380*sqrt(7) + 10133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h\/h**(4\/9))\/h)\/(h*h\/(h\/h**6))*(h*h**(2\/29)*h)\/h*h*h*h**(4\/3)*h assuming h is positive.\nAnswer: h**(-11\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3287*p - 23027 = 235*d + 3284*p, 0 = -2*d + 5*p - 191 for d.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390, -1584, -3580, -6378, -9978, -14380, -19584?\nAnswer: -25590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 0*z**3 - 3*z**3 + 15*z**2 - 15*z**2 - 25*z**3 + (1 - 1 + 4*z)*(2*z**2 - z**2 + z**2).\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**3\/6 - 35*q. Let d(y) be the third derivative of -y**5\/15 - 16*y**2 - y. Give d(f(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + x + 95, 2*x = h - 6*h + 454. Let d = -88 + h. Suppose -17 = b - 4*c, 8*b - d*b + 32 = -2*c. Round b to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3556701525.\nAnswer: 3, 5, 13, 137, 26627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 3*z**4\/16 - 3*z**3 + 117*z**2\/8 - 21*z - 1537. What is w in y(w) = 0?\nAnswer: 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 0.042?\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -182*f + 13289. Give a(73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83665193437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 3*k + 395*k**3 - 773*k**3 + 393*k**3 as y*k**2 + u + f*k**3 + i*k and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -3. Suppose 3*q - 103 = f - j*f, 50 = f + 2*q. Suppose 5*r = -y + 68, 0 = -3*r - y + 6*y + 52. What is the greatest common factor of r and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 48\/5 - 3\/10*u**3 - 46\/5*u - 38\/5*u**2 = 0. Calculate u.\nAnswer: -24, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 34*u**2 + 31*u - 61. Let t be x(-33). Solve -t*z + 4*h = -h, -2*h + 6 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 2*v**4 - 2*v**5 + (22*v**5 - 4 + 4)*(4 - 2 - 3) - 2*v**2 + 3*v**5 + 2*v**2.\nAnswer: -21*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-19890580\nAnswer: 7956232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*f + 12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + (-14 - (-2368)\/80))\/(75\/(-1625))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7190 + 14383\/2. Let a(k) be the first derivative of -b*k**2 - 1\/2*k**4 + 0*k - k**3 - 47. Let t(n) = -6*n**3 - 8*n**2 - 8*n. Calculate 8*a(u) - 3*t(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 0*b + 12. Let o be (-32)\/12*3\/b. Let w = -16 - -23. Sort o, 0.5, w in increasing order.\nAnswer: o, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1220879*k**2 - 1333557*k wrt k.\nAnswer: 2441758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 11. Suppose 4*d - 166 + 10 = m. Let j = d + -9. Are 29 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 17*a - 40. Let p = 42 + -21. Calculate the remainder when p is divided by (18\/a)\/(4*(-9)\/48).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(242) - (sqrt(288)*1)**2) - (sqrt(8)\/(sqrt(4) - -2*sqrt(4)) + 2 + sqrt(12)\/sqrt(6))**2.\nAnswer: -2660\/9 + 17*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1*(-9)\/(-6). Suppose -3*c + i = -24. Let o(b) = 36*b. Let a be o(1). Calculate the highest common factor of c and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/c**(2\/13)*c**8 assuming c is positive.\nAnswer: c**(128\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(3\/32)\/v)\/(v*((((v*v*(v\/v**28)\/v)\/v)\/v)\/v)\/v))\/((v**2*v)\/v)**(-11))**(-2\/33) assuming v is positive.\nAnswer: v**(-1603\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 47*x + 2215. Let g be j(76). Solve 174 = 40*m - g*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -177944, -96 in descending order.\nAnswer: 0, -96, -177944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - 43\/(-3). Suppose r = -t + 4*t. Let b = t - 11\/2. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -63 + 76. Suppose 12 = -h*f + 11*f. Let g(w) = w**2 + 6*w + 1. Let u be g(f). Solve -u = k + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (92 + -49 + -16641)\/(1\/(-2)). What is the greatest common divisor of 172 and m?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 + 7*s**2 - s + 5. Let q(v) = -5*v**3 - 6*v**2 + 2*v - 5. Determine 2*q(a) + 3*y(a).\nAnswer: -a**3 + 9*a**2 + a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**5\/15 + 3*i**4\/2 - 16*i**3\/3 + 353*i**2 - 2. Solve n(v) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 122, 104, 86, 68, 50?\n\"Answer: -18*w + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3273b (base 15) to base 16\nAnswer: -27200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/976 and -69\/26230.\nAnswer: 209840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:39 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/((a*a\/a**(5\/6)*a)\/a)))\/a*a*a)\/a)\/(a**14*a) assuming a is positive.\nAnswer: a**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 - -1)\/(-1 - 0). Let j(n) = -n**3 - 12*n**2 - 12*n - 9. What is the lowest common multiple of j(m) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 + -1904?\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i + 5*y - 28, -2*y = 5*i + 68. Let k be i\/(-8)*(1 - -71). Let t be -3*4\/k*3. Sort 0, t, -0.2.\nAnswer: t, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100\/3 + 1\/3*k**2 - 52\/3*k = 0 for k.\nAnswer: 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 10:29 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*w + 4. Let q(o) = -o - 4. Let f(t) = t + 5. Calculate w*f(h) - 5*q(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121012 (base 3) to base 13.\nAnswer: b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 52165.\nAnswer: 573815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -756*k**6 - k**2 + 533?\nAnswer: -90720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1085 + 1138. Let v(a) = 21*a - 3. Let g be v(6). Let m = g - z. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*l + 19 + 5, -3*f - 4*l + 3 = 0. Is f smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3304 by 1.\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8680278.\nAnswer: 2, 3, 1446713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1488345*f**2 - 744152*f**2 - 744157*f**2.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 102\/153 + (-2)\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2758*l + 0 + 0 + 2764*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from siililmilm. Give prob of sequence sii.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -377? (a) -1\/4 (b) -2\/45 (c) -2\/3 (d) -1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6047000 rounded to the nearest 100000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -234, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283807.\nAnswer: 283807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4702332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 25*n - 256. What is b(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(1114*4\/(-1488) + 3). Let z = -340 + t. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 230 = -g, 3*f = 5*f - 4*g - 124. Calculate the remainder when 286 is divided by f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from ykykkxayxaxyaxkoygxk?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 0*p**4 + 2*p**4 + (0 - p**3 + 0)*(-p + 2*p - 2*p) + p**4 - p**4 + p**4 + 2*p**3 + 76*p**4 - 136*p**2 - 158*p**4 + 83*p**4.\nAnswer: 4*p**4 + 2*p**3 - 136*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 12*c**2 + 9*c + 22. Determine j(-12).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*a = -12. Suppose o - 4 + a = 0. Solve -o*q + 2 = -0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0.3. Let p be 66\/(-4)*40\/(-585). Let f = p - 6\/13. Which is the third smallest value? (a) f (b) -1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2246 is divided by 125?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 18235 = 265745. Let b be z\/(-2656)*8\/6. Let q = -5\/249 - b. Find the common denominator of -6 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5*21\/(-42). Sort q, 2, 3 in ascending order.\nAnswer: q, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12028952 divided by 4?\nAnswer: 3007238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/4) - 2296\/1120.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*l - 12, 15 = -3*v - 5*l - 4. Suppose f + 26 - 30 = 0. What is the lowest common multiple of f and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39808.7108 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Solve -p + 19 = 4*p - h*b, 5*b = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6995202.71 rounded to the nearest one hundred thousand?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*z**3 + 3820*z**2 - 7395*z - 11250.\nAnswer: -5*(z - 3)*(z + 1)*(7*z - 750)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 19*m = -l + 4579, 4561 = l - 4*m. Is 35 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p + 3*p)*(-2 + 0 + 3) - 5*p + p + 6*p - 3*p + 5*p - 3*p + 5*p - p - 2*p + (-3 - 1 + 3)*(-3*p + 4*p - 3*p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l - 7*l + 15*l)*(-6*l**2 + 5*l**2 + 0*l**2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 580 = 5*z, 3*c - 6*c - 4*z = -349. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/7540 and 55\/36.\nAnswer: 67860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6 + 1 + 26*d**2 - 2 - 3 - 2*d. Is x(1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*(2 + -5). Let j(v) = y + v**2 + 3 - 5. What is j(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*2 + 2 + sqrt(72) - (sqrt(72) - -2*sqrt(72))*6)**2 - ((sqrt(288) + -2 - sqrt(2)*-1*5) + -2).\nAnswer: -377*sqrt(2) + 16208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, m: 4, c: 3}. Give prob of sequence xcxm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -5. Let m(u) = -6*u + 44. Let y be m(7). Solve r = -y*w - w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258229 is divided by 155?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a**3 - 3*a**2 + 0*a**4 - 1\/360*a**6 + 1\/90*a**5 + 0*a + 0. Factor q(u).\nAnswer: -u**2*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14728 divided by 51?\nAnswer: 14728\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 224 + -21. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2 - -16) + -15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -49?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 2*j**2 + j + 3. Let t be n(0). Suppose 2706 - 369 = t*s. What are the prime factors of s?\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 2, 1\/3, -3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by 7\nAnswer: 151\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 4 + 12. What is the third derivative of -4*w**5 + k*w**2 - 3*w**2 + w**5 wrt w?\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*l = -40*l - 3*m - 63, 37 = 3*l - 2*m. Let j be ((-12)\/(-15))\/(2\/5). Suppose j*w + 6 = 5*w. Solve -w*f - l = -13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -13, -30, -61, -112?\n\"Answer: -n**3 + 2*n**2 - 8*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -234, -4, 4, -15 in decreasing order.\nAnswer: 4, -4, -15, -48, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 10*v**2 - 6*v - 24. What is the tens digit of l(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - p**2 - 2*p - 3. Let b be x(-2). Suppose -m - 68 = -b*m. What is the remainder when 67 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + t - 72, -2*r + 2*t = 29 - 85. What is the remainder when r is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -15*z + 120. Solve -z*w - 2*g - 28 = -2*w, 4*w + 2*g = -24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = 65. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258454 is divided by 43074?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-4) + (-43165)\/240*-3. Let n = p + -540. Find the common denominator of 143\/30 and n.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1843 - 703 - 8680)*(-1 + 1 - s).\nAnswer: 7540*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + 4*h**4 - 4*h**4 - 2*h**4 + 0*h**4 + 4*h**4 + (57*h + 1920 - 1920)*(-3*h**3 + 5*h**3 + 0*h**3).\nAnswer: 117*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1447146.9851 - -1446785. Let l = 362 + p. Round l to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 870*m**2 - 135*m - 135. Let h(q) = 13*q**2 - 2*q - 2. What is -270*h(f) + 4*p(f)?\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5402 - 5400.96. Which is bigger: m or -1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + -70 - (-12 + -1)) + 16 - 5.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001594 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v = 13*v - b - 9, 0 = -v + 4*b - 3 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203857 is divided by 1325.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2964 - 8841 = -15*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 - 118 + 179 - 24942*w to i + b*w and give b.\nAnswer: -24942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrf when three letters picked without replacement from {r: 1, h: 7, p: 4, f: 2, z: 3}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - q. Let o = 223 - 221. Let m(r) = -r**3 + 7*r**2 - 10*r. Let p(f) = o*c(f) - 2*m(f). Suppose p(u) = 0. Calculate u.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 22412*b + 14748. Let s be z(-39). Round s to the nearest 10000.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 138.99999874 + -139. Round y to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a - -72?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 + 5*b - 4 + 2.\nAnswer: 5*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 95422, 95444, 95488, 95560, 95666, 95812, 96004, 96248?\n\"Answer: j**3 + 5*j**2 + 95416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*g - 5, -5*g - 2*d - 13000 = -13020 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 137294 * -8.94\nAnswer: -1227408.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a millennium in years?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -165*-0.09\nAnswer: 14.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 343 = 2*o, -o = -2*s + 2*o - 122. Let r = s + 105. Let z = -4132 + 4398. Calculate the highest common divisor of z and r.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -5, 7, -26\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 191.78 millilitres?\nAnswer: 0.19178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*r + 1405 + 149 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1205 + 0.5205. What is the nearest to -2\/39 in x, 1\/3, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -253 - -255. What is the tens digit of 386 - (6 + -2 - f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -197 and 51.2864571?\nAnswer: 248.2864571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 (base 5) in base 2?\nAnswer: -100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + j + 6, -6*s = -2*s + 3*j - 21. What is the second derivative of -8*u - u + 7*u - 2*u**s wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1172\/(-6))\/(-1)*(-6)\/(-4). Suppose 2*j = -2*c - 154, 4*j + 2*c - 3*c = -i. What is j rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*r - 15414 + 2725 = 0, 12697 = 5*f + r. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 36*u**2 - 35*u + 4. Let z be v(-35). What is the third derivative of 3*l - 2*l**2 + 4*l - 11*l**2 - z*l**2 + 145*l**6 + 0*l wrt l?\nAnswer: 17400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 + 1 - -15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75242*o**2 + 3*o - 618476 with respect to o.\nAnswer: -150484*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 39 = 4*u - 2*q, 5*u + 3*q - 63 = 0. Factor 7*f**4 + 3*f + 18*f**3 - 2*f**4 + u*f**2 + 3*f**5 + 7*f**4.\nAnswer: 3*f*(f + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/11 or 212984?\nAnswer: 212984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 34*u**2 - 45*u + 44. Is p(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345431625 divided by -115143875?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4546138 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42396 by -6.\nAnswer: -7066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6178 divided by -14203.\nAnswer: -6178\/14203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 2. List the prime factors of -3 + p - (3 + 0 - 6).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200787232.\nAnswer: 2, 6274601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549*a - 127*a - 122*a - 132*a - 131*a - 126*a + 90*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 500 and 7250.\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22805.23 milligrams in micrograms?\nAnswer: 22805230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/5 + 243546*d**2 - 114486501*d\/5 + 2690588508\/5.\nAnswer: 3*(d - 47)**2*(d + 406004)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1278 + -833. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (134 - (159 - 28)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7874.475 litres in millilitres?\nAnswer: 7874475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:09 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*c**2 - 269*c**2 + 690*c**5 + 314*c**5 - 2*c wrt c.\nAnswer: 60240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 191*c - c + 1716568 = 0. What are the prime factors of c?\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1854 divided by 4?\nAnswer: -927\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 581 or 676?\nAnswer: 581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 17*i**2 - 11*i + 2. Let z be y(15). Suppose -5*n + 207 = 2*f, 5*f - 40 - 88 = -3*n. What is the greatest common divisor of n and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 631*j**2*t**2 + 87*j**2*y**2 - 2*j**2 + 2*j*t**2 + t**2*y + 3*y**2 wrt y.\nAnswer: 174*j**2*y + t**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141093 and 183?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14007 is divided by 13953?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/14 and -33\/11748610.\nAnswer: 82240270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -1 + 2 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 5 - 67. Let r = f + -29. Factor r*h**2 + 4 - 7*h**2 + 7*h**2 - 6*h.\nAnswer: 2*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8259151337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3422468 rounded to the nearest 100000?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnac when four letters picked without replacement from {a: 1, n: 4, c: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 4 (c) -2\/5 (d) -2\/3 (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/20*(6\/4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29172143 is divided by 3191.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - n + 1. Let r(d) = -13*d**3 + 5*d - 6. Calculate -r(h) - 5*x(h).\nAnswer: 8*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 549221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -136 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + (-4 - 53) - (7 - (1 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 + 102. Sort 9, -3, l in decreasing order.\nAnswer: 9, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 458\/615 + -36\/41. Let u = -2.17 + 0.17. Which is bigger: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 261524, 523046, 784570, 1046096, 1307624?\n\"Answer: q**2 + 261519*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7858\/39265 + -1\/7853. Let z(w) be the first derivative of 4\/15*w**3 - 1\/30*w**6 + 0*w - 2\/5*w**4 + 0*w**2 + 4 + d*w**5. Factor z(v).\nAnswer: -v**2*(v - 2)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43506 (base 7) to base 5\nAnswer: 322014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(11)) + 0.\nAnswer: -8 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**2 - 1251*g - 28372. Calculate k(-26).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/207819 and -2\/19737.\nAnswer: 3532923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40444*h**2 + 3*h**3 + 20343*h**2 + 20101*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.2 + 1.2. Let n = p - -16. Let x = 2758 + -2756. Which is the second biggest value? (a) n (b) x (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 0*b**2 + 8\/5*b**5 + 0*b**4 + 0*b + 7 + 7\/3*b**3. What is the third derivative of o(h) wrt h?\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(880) - sqrt(880)*-3 - sqrt(55)))\/((sqrt(88)*-1 - sqrt(88))\/sqrt(8)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + 0.05. Let s = q - -0.07. Which is the closest to s? (a) 4 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -621a9d (base 15) to base 10\nAnswer: -4663273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 66 = 3*l, 0 = -5*l - 3*h + 110. Let v = l - 20. Suppose v*u - 3*u + 5 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from frfqfqrrrrqrqr.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2924 = 277*c + 985 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1264 + 426?\nAnswer: 1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9592, -46037, -109338, -199495, -316508, -460377, -631102?\n\"Answer: -13428*d**2 + 3839*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/150 - q**4\/4 + 14*q**3\/15 + 158*q**2 + 2. Factor k(c).\nAnswer: 2*(c - 14)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c. Suppose -3*q = -m - 2, -3*m + 0*m + 4*q - 1 = c. What is the derivative of -4*v + 1 + 3*v + m wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 1025*r**6\/6 - r**4\/24 - r**2. Let v(m) be the second derivative of t(m). Let q be v(1). Round q to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 at least as big as 1509\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - 2?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3 + 6. Sort t, -3, -18, 1 in ascending order.\nAnswer: -18, -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-4*x**2 + 2*x**2 + 4*x**2) - 3123*x**2 - 19645 + 19645.\nAnswer: -3121*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 26, 53, 86, 125?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -4. Solve 7*q + 2*q**b - 4 + 2*q**3 + 4 - 11*q = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 5*f + 7 = z, -2*f + 4*z = -20. Let u(c) = -c**2 - 15*c + 6. Calculate the smallest common multiple of u(-13) and f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 4. Let z be l(5). Suppose 11 = 5*s - z. Suppose -t - s*i + 89 = 0, -t + 0*i = -4*i - 105. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + -18*2\/(-4). Let t = -1.5 + -1.5. Let q = -0.78 + -0.12. Which is the second biggest value? (a) t (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.03158321?\nAnswer: 0.012633284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*t - 59, 4*t - 5*z - 112 = -9*z. Suppose -12*s = -41 - t. What is the smallest common multiple of 144 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -3 - 0) + (45 - 20 - 10)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 + 2*c**3 + c**3 + 4*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -38. Let h(q) = q**2 + 10*q + 29. Let b be h(w). Calculate the highest common factor of b and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -887416 and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 195*u**3 - 10*u + 217. Let v(q) be the first derivative of -97*q**4\/4 + 2*q**2 - 108*q - 42. Let d(f) = 5*v(f) + 2*w(f). Differentiate d(m) wrt m.\nAnswer: -285*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 109621554.\nAnswer: -2\/54810777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - r = -3*s - 59, 0 = -2*s - 4*r + 36. Suppose 3588 = s*b + 1408. What is the remainder when b is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 2:04 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 238, 525, 886, 1357, 1974, 2773?\n\"Answer: 6*t**3 + t**2 + 242*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 5, 6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.3009 weeks in nanoseconds?\nAnswer: 5625184320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18489 + 222013\/12. Calculate the common denominator of -41\/30 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -56. Let w = q + 19. Let o(s) = -s**3 + 7*s**2 - 4*s. Let j be o(6). Calculate the greatest common divisor of w and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 106*x - 2730. What is a(-46)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*6\/(-144)*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 147 - 25*v)*(3 - 1 + 3)*(2*v**2 - 2*v - 6*v**3 + 3*v**3 + 4*v).\nAnswer: 375*v**4 - 250*v**3 - 250*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {u: 1, w: 6, b: 2, k: 4}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 1. Let s be (-13260)\/150 + (1 - 8\/5). Let d = s + 87. Give y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1088)*6)*-1.\nAnswer: -48*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + n)*(-4*n**3 + 3*n**3 + 4*n**3 + (n**2 + 3*n - 3*n)*(n + 21*n - n + (2 - 1 + 0)*(-5*n + 4*n + 3*n))).\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105404, -210464, -315526, -420590, -525656?\nAnswer: -630724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 14. Calculate the smallest common multiple of 4 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 223\/12 - 58\/3. What is the smallest value in 0, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 153\/(-18)*4\/2. Let l = v + 19. Solve -4*f - 2*g = 0, 0*f - 3*g = l*f + 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 51 - 137 = -23 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5)*(s**(-1\/11)\/s)\/s)**(-18\/11) assuming s is positive.\nAnswer: s**(2466\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -11. Suppose 0 = l + 31 - 33. Suppose -f + 17 = -l*w, -f + w + 96 = 3*f. Calculate the remainder when f is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(1740\/208) + (-10)\/(-15)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/27 + 22\/33.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*6\/(-34)*(-17)\/51.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21124.8 less than 9431?\nAnswer: -11693.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 783.65 + 0.35. Let q = b - 787. What is the third biggest value in 0.4, q, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/11 and 21\/12035.\nAnswer: 132385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -53*m - 171. Calculate a(12).\nAnswer: -807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -508 - -518. Let x be 0\/(5 - q) - 0. Sort 5, x, -62 in ascending order.\nAnswer: -62, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*t - 151*t + 298*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = 9*j. Suppose 0 = 4*w - 12 - j. Solve c - 4 = w*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 5, -3, -4 in ascending order.\nAnswer: -20, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128724 by 51.\nAnswer: 2524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 24) + (0 - 3) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -0.3 (c) -17 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from {b: 3, s: 1, j: 1, e: 5, c: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(2*j - 3*j + 0*j + (1 - 1 - j)*(-1 + 0 + 0) - 4*j + j + 4*j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 4*t + 3, -6*t = 5*o - t + 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 2 + 4*u**2 - 5*u**2 - 518*u**3 - 8*u + 520*u**3. Calculate d(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5187 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*((31 - 27) + -1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7545719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + -5*sqrt(245)*-2 + sqrt(245) + (sqrt(245) + -2 + sqrt(245))**2 + 2.\nAnswer: 28*sqrt(5) + 986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 39*r**2 - 95*r + 106. Give w(37).\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 122557\/5 (b) 59 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 749 divided by 9433.\nAnswer: 749\/9433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 6*k**2 + 9*k + 6. Let l = 18 - 22. Let t be b(l). Let z be ((-2)\/2)\/(-1 + 0). Is z less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79240?\nAnswer: 2, 5, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3286 + -3286. Let f = 4 - 3.99. Let i = f - 0.11. Which is the second biggest value? (a) 1 (b) n (c) i (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**2 - q + 1 + 2 + 6*q**2)*(-2 + 1 - 26) + 3*q**2 + 3*q**2 - 4*q**2 in the form c + d*q + r*q**2 and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4 = 13*t - 11*t, 4*t = -3*r + 14. Calculate the least common multiple of 29 and t.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 2\/9 (b) -3 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 1. Let v(b) = -9*b - 1. Let n(t) = 3*l(t) - v(t). Is 12 a factor of n(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-141064)\/(-8)*(-6 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25559853019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 12, l: 1, h: 6}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 0.1 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/2 - 5*t**3 - 4*t**2 + 5*t + 9\/2.\nAnswer: -(t - 1)*(t + 1)**2*(t + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from eexxexx?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11)*b**(3\/8)\/b)**(-8) assuming b is positive.\nAnswer: b**(71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-8 - 1) - 15) + 1 + -52 + 1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10220201 (base 3) to base 4\nAnswer: -230212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 63 + (-52 - (17 - 73))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.150996.\nAnswer: -0.301992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 4*m + 3. Let n be b(-3). Suppose n = 5*c - c + 12. Let s be 2\/c - (-30)\/18. Solve -h - 2 = s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/10, 3 in decreasing order.\nAnswer: 3, 1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/5)*o**(1\/6))**(-2\/41)*(o**(-2\/5)\/o)\/((o**(-1\/8)*o)\/o)*((o*o**(-2)\/o)\/o*o)\/(o*o**(-5\/6)) assuming o is positive.\nAnswer: o**(-17357\/4920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 12\/5*c**2 + 7377\/5*c - 369 = 0. Calculate c.\nAnswer: -615, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (-4 + 5 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0078*215\nAnswer: 1.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) -296 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.590572 micrometers in centimeters?\nAnswer: 0.0001590572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -22121121001001?\nAnswer: -22121121000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5884021 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 2*u**2 - 4. Let l(n) = 3*n + 13. Let o be l(-11). Let j be (0 + o\/8)*18\/(-15). Give z(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041295152 to 4 decimal places.\nAnswer: 0.0413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141120 + -3?\nAnswer: 141112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/((-78)\/442) - 6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25342948193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 3*l**2 - 7*l - 11. Determine a(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(0*f - 6*f - 4*f)*(0*f - f + 0*f - 2*f + 5*f - 2*f + (5 + 2*f - 5)*(2 + 0 - 3) - f - 5*f + 5*f).\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 120 = 8*m. Let x be (6\/(-16))\/(m\/(-16)). Let r = -0.1 - 0. What is the closest to r in 0.4, x, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/92659?\nAnswer: -12\/92659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.589048 + -210?\nAnswer: -297.589048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1824388.000104 + 1824375. Let s = p + 13. Round s to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4340448 by -36.\nAnswer: -120568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 37844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*w - 132100 = 1755*w + 1207*w + 8590 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.013, -2, 27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692362 is divided by 325.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117.99974 + -118. Round h to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -392 divided by 7\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 - 1355. Let j be b(0). Let f = j + 1986. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/216 and 53\/2007.\nAnswer: 48168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s + 48944 - 48944.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 15. Suppose -19 = -2*w + 5*i, -4*w - d*i = 1 + 6. Suppose -5*r = -w*r - 6. Solve -4*o = -r*p - 10, o - 3*p = -p - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 203517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*s + 4 = 0, -a - s - 2 = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 3 (b) -2\/19 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.2 + 9.2. Suppose 3*k = -4*g - 1, 3*g + 5*k = -g + 9. Let l be 22\/160*-2 + g\/(-10). Which is the third biggest value? (a) l (b) -2\/5 (c) j (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 3*y + 65390 = 0. Let f = -649 + y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/25 of a hour?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/2 - -1)\/1. Suppose 2*l + 2*i - 10 = 0, -i - 1 = 3*l - 2*i. Suppose -397*m = -394*m - 33. Solve l - m = -j*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/144 and -41\/744.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -5 (b) 80 (c) 3.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3873078 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 8*z - 10. Let v be s(9). Let d = v + 19. Solve -6*x + 2*x - 16 = d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17756\/501 > -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-640)\/72 - ((-38)\/(-18) + -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 1:51 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -263 - 1 - 471 - 4*t**2 - 18*t**4 + 58*t**4 wrt t?\nAnswer: 160*t**3 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 16*c + 7. What is f(17)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 881223368 to the nearest ten thousand.\nAnswer: 881220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 7 - 13. Sort -2, g, -5, -7 in decreasing order.\nAnswer: g, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -7, 4, 5, 4.31, -0.5.\nAnswer: -7, -0.5, -0.4, 4, 4.31, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 1. Let k(o) = 6*o**3 - 4*o**2 - 6. Let f(y) = k(y) - 5*r(y). Let h be f(5). Solve 5*d - h = 1, 0 = 5*a - 3*d - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*b = -12, -8*b = -u - 11*b - 12. Let j(h) = 135*h**2 + 8*h + 16. List the prime factors of j(u).\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281927819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3361474 - -55?\nAnswer: -3361418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -27.1892.\nAnswer: 2.71892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*n - 4, 0 = 5*n - 4*w + w + 5. Suppose j - f = 32, 2*f + 66 = n*j - f. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 2 in descending order.\nAnswer: 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/9 + 7864*z**3\/9 + 31402*z**2\/9 - 86404*z\/9 + 15712\/3 = 0.\nAnswer: -3928, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 98 or 1092\/11?\nAnswer: 1092\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 8 + 1*-2. Suppose m = 3*z - 0. Suppose z*g + 15 - 3 = 5*u, 0 = -2*u + 2*g. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -16. Let h = 5.2 + a. What is h rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1112 + 23363\/21. What is the common denominator of j and 37\/27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 6 + 18 = 0. Which is the third smallest value? (a) q (b) 0.3 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = -20. Let m = n - 2. Suppose 18 = m*t - t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 5, 64.8, -3\/5 in descending order.\nAnswer: 64.8, 5, -3\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 279163, 279045, 278939, 278851, 278787, 278753, 278755?\n\"Answer: r**3 - 125*r + 279287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/15 + 7\/(-3). What is the tens digit of -1 + (-123)\/y + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 8*n + 5325 = 0. Suppose -13*o + n = -989. Calculate the smallest common multiple of o and 8.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*z - 7957107 = -52*z. What are the prime factors of z?\nAnswer: 43, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 40 = 29*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-5*-1*sqrt(242))**2 - sqrt(242))*6 + (sqrt(2) + (sqrt(2) + 1)**2 + -3)*6 + 1).\nAnswer: -217806 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + y = -3*y + 2, 0 = z + 4*y + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + b**4 + 6 + 3*b**3 - 2*b**3 + 13 - 2*b + 8 in the form d*b + a*b**2 + q*b**4 + o*b**3 + u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -304.834 + 355.8288. Let r = -51 + g. Round r to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-6 - -2) - (-1 - -2). Suppose -u - 4*c = -3 - 1, -2*u = g*c - 3. Suppose u = 3*y - 166 - 104. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(12\/3))\/((-6)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 32337617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 43. Let h = -7 - l. Suppose -2*w = -3*j - 8 + 46, 0 = 5*j - 4*w - 62. What is the highest common factor of j and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17865 plus -1098.84144?\nAnswer: -18963.84144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 - (56 + -84 - (0 + -1))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 196 + 286. Calculate the smallest common multiple of u and 136.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-41)*u**15)\/(u**(-25)\/(u**46*u)) assuming u is positive.\nAnswer: u**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 56 = -620. Suppose 2*n - k = 5*n + s, -282 = 3*n - 4*s. Let u = n + 146. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 406026261 * 0.4.\nAnswer: 162410504.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-24))\/((-927)\/243 - -4).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329 is divided by 2264.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -305*z - 31 - 62 - 34*z**2 + 303*z to r*z**2 + f + y*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1123 (base 5) to base 14.\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 255 - 233. What is the third smallest value in t, 2, 1, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155968552 divided by -19496069?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/56 - (4 + (-138345)\/21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -117 - -1089357?\nAnswer: 1089240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 3:04 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1.9. Let g = 1.7 + n. Let z = 0.5 + g. Which is the smallest value? (a) 1 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*s - 4*t, 5*s + 30 - 27 = 2*t. Let i(r) = -43*r + 11. Let q(w) = -22*w + 6. Let n(j) = 6*i(j) - 11*q(j). What is n(s)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5278 and -6610?\nAnswer: -3488.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49*(-550)\/(-1331330) - 3\/13.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((420\/(-24))\/35)\/((-5)\/(-510)*-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.06 - 15.16. What is the nearest to k in 1\/5, 5, -8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 333955 + -12861.\nAnswer: 321094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 4*v**2 + 0*v**2)*(-22*v - 21*v - 10*v).\nAnswer: -53*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -282*v**5 - 100*v**2 wrt v?\nAnswer: -16920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - z + 1. Let u be y(0). Solve 4*o + 11 = -u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -17 + -15 + (26 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 1033 = 71. Let s be 8\/1 - t\/9. Factor 1\/3*c**4 + 0 - 2\/3*c**3 + 0*c + s*c**2.\nAnswer: c**2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1380430458090624 + 1380430458090624 - 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16621 and 2431.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -47, -144039?\nAnswer: -144039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 153 (c) -4849\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 24 = -v, 4*v - 3*c + 86 = -0*v. Let u = v + 28. Solve -2*n - 5*z - 8 = 0, 2*n + 6*z = 4*z - u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from tspjphjjpjj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6917, 27655, 62413, 111347, 174613, 252367?\nAnswer: 344765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 630, 2826, 6704, 12264, 19506, 28430?\nAnswer: 39036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/(-66) - -3) + (-47)\/(-77)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 times -2453359?\nAnswer: -4661382.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129843706 and 782191?\nAnswer: 129843706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 288*b + 1712. Determine a(122).\nAnswer: -3656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2136128 and -53\/448?\nAnswer: 14952896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 2*l - 4*i, 2*i = 5*l + 420 + 104. Let q = l + 126. Suppose -5*t = -5 - 15. What is the remainder when q is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + (-40)\/(-6). Let y(s) = -12*s**3 + 28*s**2 + 135*s + 52. Let x be y(-4). Suppose -x = -l*z - z. What is the greatest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, m: 7}. What is prob of sequence mrrm?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-50)*1 - (112401\/1350 + -83)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h + 5. Let a(u) be the third derivative of -64*u**2 + 0*u**3 + 0*u + 0*u**4 + 0 - 1\/60*u**5. Calculate a(p(b)).\nAnswer: -49*b**2 - 70*b - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*z - 44 = 3*z, -m - z + 16 = 0. Let y be 0*4\/m + 2. Solve 3*r = y*f - 11, 0 = r + 4*f - 2 + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3542, -5809, -9592, -14897, -21730, -30097, -40004, -51457?\n\"Answer: -n**3 - 752*n**2 - 4*n - 2785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1042 = -8*l - 263, -3*k + 2*l = -1341. What is the remainder when k is divided by 163?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*f - 16, -k + f = -3*f - 5. Let z = 2429\/850 - -18\/425. What is the common denominator of z and 2\/(-2)*47\/k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 598\/(-92)*(-3 + -1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 14 = -2*j - 5*k, -23 = -j + 3*k. Solve -t - j*t = -60 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.99 - 1. Let m = -7631.9 + 7222. Let a = -410 - m. What is the third biggest value in a, 1, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - 0.32. Let s = 0.435 + 0.54. Let o = 0.025 + s. Sort t, -1.1, o.\nAnswer: -1.1, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -11*l - 129. Let z be p(-12). Solve 2*m + 9 = z*i + 1, 5*i - 4*m = 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4146165 is divided by 60973.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 2, -3519, -10, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {q: 1, x: 3, t: 1, b: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2. Let s be m(1). Let j be (0 + -4 + 19)*s\/3. Let i(b) = -3*b + 5. Determine i(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/3)\/(l*l\/(l\/((l*l*l**6\/l)\/l)*l))*l**5*l**2*l assuming l is positive.\nAnswer: l**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 362698324 to the power of 1\/3, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 797, 807, 841, 911, 1029, 1207, 1457, 1791?\nAnswer: 2221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -22*p. Let i(f) = 15*f. Determine j(i(o)).\nAnswer: -330*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozoz when four letters picked without replacement from zzzzooo.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5472\/(-80))\/((21\/20)\/(-7))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 - (-368)\/112 - -19. What is the second derivative of 13*y - 2*y - 12*y - x + 18*y**4 wrt y?\nAnswer: 216*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/15*10 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/45*9\/4. Put b, -2, 10 in ascending order.\nAnswer: -2, b, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 0 - -2) + 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -87634, -87641, -87648?\n\"Answer: -7*h - 87627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/(c\/(c*c**(-5)))*(c\/(c*c*c*c*c*c**0))**13)**(14\/11) assuming c is positive.\nAnswer: c**(-728\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 2*d + 2. Let l be x(1). Suppose -5*g = -124 - 71. Let h = g - 29. Solve m - h - 3 = -l*y, -4*y - 4*m = -36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 12*l - 46. Suppose 0 = 4*n + 4*d - 4492, d = l*n - 2*n - 1119. List the prime factors of n.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, -48, -8, 5, -2, -15 in decreasing order.\nAnswer: 5, -2, -5, -8, -11, -15, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*l + p + 14264, -l - 5*p = 3558. Let q = -1365 - l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -551\/7 - -79. Which is the nearest to 1? (a) l (b) 3 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2786 or 25082\/9?\nAnswer: 2786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Let c(u) be the second derivative of -u**5\/120 + u**4\/24 + 20*u**3\/3 + 47*u. Let d(k) be the second derivative of c(k). What is d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 2*x**2 + 2. Let k be j(2). Suppose 0 = -8*c + 5*c + k. Let w be (2\/3)\/(2\/c). Solve -5*a + 0*m = w*m - 16, 4*m = -a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 99bda4?\nAnswer: 99bda2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4391, 4055, 3719, 3383?\nAnswer: 3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.1, -3, 0.22?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25868, 51885, 77902?\nAnswer: 103919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.3, -0.2, -2\/19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 14) to base 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (64\/((-576)\/189))\/(-3*(-2)\/(-2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612.1394 millilitres to litres.\nAnswer: 0.6121394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - 8. Let v = 21 - 21.1. Which is bigger: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 23*p + 7. Let a be w(-8). Let f = -71 - a. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0535 + -582.0535. Let z = 671.9 + r. Round z to 0 decimal places.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3738161432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.033 + -12.033. Sort -11, 3, 0, f, -9 in ascending order.\nAnswer: -11, -9, f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*j - 29 + 51 - 1786 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4820\/(-1050) + 4 + 6\/1050*10.\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcc when three letters picked without replacement from ttgccccgccggcgttg?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1234*m + 1207*m + 355617. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10310 = 28*b - 15254. Suppose -2*g + 20*z = 23*z - b, -4*z + 2272 = 5*g. What are the prime factors of g?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6316*s - 530561. What is m(84)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -20. Suppose -9*f + 60 = -h*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862350.\nAnswer: 2, 3, 5, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-335)\/603)\/(75\/(-162))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1890, -3808, -5740, -7686, -9646, -11620?\n\"Answer: -7*t**2 - 1897*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13042 divided by -2.\nAnswer: 6521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 46*x**2 + 20*x - 6. Give t(2).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695 divided by 565?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.01 (b) -2 (c) -1 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1, 15552.\nAnswer: -5, 1, 3, 15552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 812228 by -203057.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 36*t + 86*t - 5*t.\nAnswer: 118*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0.2, -1025?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - 24\/(-3))*2. Let k be 9 - (-2*1)\/(-2). Solve 0*g + k = u*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226448549 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from nfnfnznfnffnzffnnn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (-24 + 27) - 23) + -1 + 2 + 17.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - 19 - (175 + -205 + -78 + 1)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 5*m**3\/3 - 66. Let f(a) = -2*a. Determine d(f(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -193, -198, -215, -250, -309, -398?\n\"Answer: -u**3 + 2*u - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*c + 8 - 16 + 4 + 5 to d*c + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -14*k - 2\/7*k**3 - 48\/7 - 52\/7*k**2 = 0.\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 37*n**2 - 4*n - 149. Let k be l(-37). Let w be 8*(-7)\/26 + 2. What is the smallest value in 4, k, -3\/2, w?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, p: 2, t: 3, o: 3, m: 1, s: 2}. What is prob of sequence sm?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/((-272)\/56))\/(3\/12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 128 = 2*r - 0*r, 0 = -5*r. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/2 + -3)*(-16)\/(-6). Let m = 6 - f. What is the highest common divisor of m and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*k = 66, -2*k + 3*k - 50 = -4*x. Suppose x = 4*n, 3*n - 7 = -i + 3. List the prime factors of (i - (-2)\/(-4))*90.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 7*d**2 - 8*d + 11. Let l be p(6). Let g(z) = -3*z**3 - z**2 - 2*z - 1. Let o be g(l). Solve 0 = -o*m - r - 8, 4*r - 2 = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:02 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70 - 70 + 50*u + (0 + 2 + 0)*(5 + u - 5) - 4*u - 2*u + 2*u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 698.33 + 42.3\nAnswer: 740.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k**4 + 3*k**4 - 2*k**4)*((-2 - 2 + 3)*(2 + 0 - 1)*(-1 + 3 + 1) - 4 - 1 + 7).\nAnswer: 9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2 = -q + 16, -3*x - 3*q = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -645, -1296, -1949, -2604?\nAnswer: -3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -25?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77020 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -5, 0.639, 1\/2, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -19. Let z be 62\/o - (-132)\/231. Let r = 11 - 6. Solve 3*a + 40 = z*h, 4*h = -r*a + 2*a + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579 - 874 = 59*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*x + 3*b - 5*b, -4*b - 2 = 10*x - 6*b - b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 10 = -13 - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/60 - b**5\/30 - b**4\/24 + b**3\/6 + 10*b**2. Let d be s(2). Solve 9 = -4*m - d, 5*r + m = -19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -22*k + 4. Let g(a) = -44*a + 9. Suppose 4*n - 10178 + 10194 = 0. Give n*g(f) + 9*x(f).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.599152498 to four dps.\nAnswer: 1.5992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 58 - 179)*(0*x**3 + 0*x**3 - x**3) - 2*x**3 + x**3 - x**3 - 2*x**3 - x**3 + 2*x**3.\nAnswer: 209*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*o - 57*o + 48. Solve l - o*w - 20 = -l, 2*l - 3*w = 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 102 - -128. Let d = s - 234. Let u(x) = -x**2 - 2*x - 6. Calculate u(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than 0.3324?\nAnswer: 12.3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = g. Suppose g*d - 26 = -i - 2*d, -i + 21 = 3*d. Calculate the highest common divisor of 15 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.72 - 13.42. Put t, -4\/3, 1.9 in descending order.\nAnswer: 1.9, t, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2007*q**3 + 9*q**2 - 3*q - 6. Let y(v) = 3136940*v**3 + 14070*v**2 - 4690*v - 9380. What is -4690*k(f) + 3*y(f)?\nAnswer: -2010*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 6) to base 8.\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1559407 to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 655368 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 + 0 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -301928947, -301928946, -301928945, -301928944, -301928943, -301928942?\n\"Answer: j - 301928948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -22. What is the remainder when i is divided by 12 - -3*(-4)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4674 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: Solve p = -3*n, -101*p - 5*n = -103*p - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*2.8014.\nAnswer: -56.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-55)\/30 + 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, k: 3}. What is prob of picking 3 d and 1 k?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 52 - (0 + 36).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5b2305 (base 12) to base 15\nAnswer: -1e259e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-781)\/14 - 26\/52. Let r = w + 56. Sort 0.1, -1.6, r, -4\/5.\nAnswer: -1.6, -4\/5, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = -12. Let s be (l - 11)*(-3)\/((-18)\/(-3)). Solve s*u + 4 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -2\/7 (c) 5 (d) 0.83 (e) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/95 and 3\/22078.\nAnswer: 110390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 r, and 1 u when four letters picked without replacement from runurvrnuurrnrunuu?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 342423001 (base 5) to base 4\nAnswer: 11311132113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 21*x - 5*x + 0*x - 6. Let b(w) = 5*w - 2. Let m be 6\/(-4)*1*-2. Calculate m*j(i) - 10*b(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119474892, -119474914, -119474974, -119475090, -119475280, -119475562?\nAnswer: -119475954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovlooooovolvloowllov. What is prob of sequence wv?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-31)\/z))**37*z*z**(2\/51)*(z*z\/(z*z**(2\/11)))\/z*z*z assuming z is positive.\nAnswer: z**(686584\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zozo when four letters picked without replacement from {o: 6, z: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -160477.\nAnswer: 1444293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3133312 + -301202?\nAnswer: 2232110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -21*t**2 - 3*t + 17. Give h(-5).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113 (base 6) to base 13.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38 + -40 + -3 + 1275?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 10:15 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9844133 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*n = 2*q + 117*n + 4, -2 = q + 2*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/19 and 10\/19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4655, -4667, -4687, -4715, -4751, -4795, -4847?\nAnswer: -4907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-nine thirds of a hour?\nAnswer: 94800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 23 and -6372128347.\nAnswer: -6372128324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 257*u + 2 - 2.\nAnswer: -257*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -531 (base 7) to base 13.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/7 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*c**2 - 2 - 10*c**2 + 1 + 2*c**2 + 1 + 0*c + 4*c - 2*c + 0*c**2 - c**2 - c**2 + (3 - 3 + 2*c)*(22*c - 58*c - 52*c) as h*c**2 + z*c + l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4604779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 1 (c) -5 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2750 take away -4666712776?\nAnswer: 4666710026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*f**3*g**5 + 95*f**3*g**2 + f**3 - 3*g**5 wrt g?\nAnswer: 420*f**3*g**2 - 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-5)\/75*(-635)\/(-1778))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6466*p**2 - 413*p**2 + 1518*p**2 + 1475*p**2.\nAnswer: 9046*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201310789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22*22\/847 - 90\/84\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 63 = 83. Solve 0*a + 6 = -f*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 7*p + 10*p)*(654*p + 377*p + 507*p)*(-3 + 2 - 1) to k*p + y + z*p**2 and give z.\nAnswer: -43064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c - 2*c**2)*(-62*c**3 + 85*c**2 - 85*c**2).\nAnswer: 124*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -11*u - 1. Let x(t) = 11*t + 1. Let c(b) = 5*o(b) + 4*x(b). Let q be c(-1). Solve -l = l - 3*s - q, 0 = -4*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-8))\/((-3)\/10). Suppose -4*n = f*a + 2, -7 = -n + 2*a - 1. Suppose -2*r - n*r + 20 = 0. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -148. Suppose 4*r + a = 27 + t, 0 = -2*r - 2*a + 30. What is the remainder when 47 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-36))\/(3\/(-54))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 32 - 4 = 0. Let j(x) = -2*x + 7. Let z be j(c). Suppose 0*n = -3*n + z. What is the lowest common multiple of 5 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -131000402?\nAnswer: -131000412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsf when three letters picked without replacement from asaffaav?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.285003 decades to years.\nAnswer: 2.85003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659533.\nAnswer: 7, 94219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 7 + -13 - (1 - 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -718, -754, -804, -874, -970, -1098, -1264, -1474?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - 11*c + 9. Let v be p(6). Let u be -5 - -1 - (-19 + -3 + 1). Calculate the greatest common divisor of v and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1405 + -451.1.\nAnswer: -1856.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times -58?\nAnswer: -3132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*c + 20*c - 25*c)*(4*c**4 - 2*c**4 + 0*c**4 + (-1 + 1 - 3*c)*(2*c**3 - 2 + 2)).\nAnswer: -44*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8748577637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96*(-52)\/53248)\/(6\/8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5}. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201.9 + -140. Let m = -65 + t. Round m to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (2*(sqrt(242) + 1) + sqrt(242) - -6*(sqrt(242) + 1 + sqrt(242) - sqrt(242))))*-1)**2 + 3 + (-3*1*sqrt(242) - (2*sqrt(242) + 5))**2.\nAnswer: 1144*sqrt(2) + 25689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a, 10*j - 7*j + 2*a - 736 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3302690382.\nAnswer: 2, 3, 23, 73, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u - u + 2 + 9. Let i be d(9). Let r = i + -4. What is the remainder when r is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryb when three letters picked without replacement from {a: 1, d: 8, r: 2, y: 3, b: 1, i: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 5*p + 3. Let q(z) be the second derivative of z**5\/20 + 3*z**4\/4 - z**3\/6 - 13*z**2\/2 + 2*z. Let o be q(-9). Determine v(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57621 is divided by 36.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 5*q**4 - 2*q**4 + (-2*q + 3*q + 0*q)*(q**3 + q**3 - q**3) + q**4 - 4*q**4 + 2*q**4 + 3*q**4 + 28922 - 28917 + 2*q**4 + 44*q**3.\nAnswer: 7*q**4 + 44*q**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927095.\nAnswer: 5, 13, 17, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, 2, 8, -784, 2\/3, 42, -1?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17 + -17)*(-1)\/(-1) + 3. Suppose 5*h = z + 136, z = 7 - u. Solve k = 8*k + h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 55, -40, 3?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5237, -1, 0 in descending order.\nAnswer: 5237, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z**3 - 1\/60*z**5 + 0*z - 1\/8*z**4 + 8*z**2 + 0. Calculate x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70456 (base 9) to base 5.\nAnswer: 2440202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -29215 and -29308 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/24)\/(-14) - ((-915)\/(-10) + 10)\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 24. Suppose 3*o + 23 = a*o. Is 24 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1798*l**5 - 25*l + 20*l - 96*l - 213*l**5 wrt l.\nAnswer: -40220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 1. Let n(v) = 2*v**2 + 4*v - 6. Let h(a) = n(a) + 6*q(a). Suppose h(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62040, 62100, 62162, 62226?\nAnswer: 62292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 6765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, 29, 52, 83, 122, 169?\n\"Answer: 4*z**2 + 3*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*k - 98*k + 136*k - 85*k - 57*k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*s - 423*s + 164*s.\nAnswer: 44*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-51))\/((-27)\/((-243)\/2))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 882.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.26, -894\/7, 33\/2?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*5*(-3 + (6*(-1 + sqrt(1100)) - (sqrt(1100) + 5*sqrt(1100)*-2)**2)).\nAnswer: -2673268 + 1800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1634717688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10931556 and 666888.\nAnswer: 808935144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115\/87 - 3917\/174. Calculate the common denominator of 1 + 3*17\/(-2) and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870 bigger than 1874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 54 (b) -4 (c) 1.8 (d) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t**3 + 17*t**3 + t**3 + 24*t**3.\nAnswer: 92*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 13368192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*a, 5*a + 70 = -3*j + 6*j. Let q = 2 + 0. Suppose j = -u + 5*m + q, 0 = 3*u + 4*m - 37. Solve -3 = -5*w + u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o + 2*o)*(-3*o**2 + o**2 - o**2) + (2*o**2 - 4*o**2 + o**2)*((-1 - 2 - 1)*(3*o + 2*o - 4*o) + 0*o + 2*o + o).\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3701, -7494, -11289, -15086, -18885, -22686?\n\"Answer: -g**2 - 3790*g + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 697 and -0.23.\nAnswer: -160.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 + 3*x**2 - 3*x - 3. Suppose 36*h - 7 = 37*h. Let n(s) = 9*s**3 - 7*s**2 + 7*s + 7. Calculate h*i(y) - 3*n(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 0*w + 2*w)*(5 - 2 - 1) + 0*w - 2*w + 0*w - 668*w - 1337*w + 562*w.\nAnswer: -1449*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -403 + 404.9. Let z = s - 1.8. What is the second biggest value in z, 1, 5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0 + 12, -5*r + 3*w = -146. Suppose -2*i + 5*m = -7, 0*i = i + 3*m - r. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i - 15495 = 0. Is 8\/(-32) - i\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9350.608 millilitres to litres.\nAnswer: 9.350608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 34 = -2*n, 4*p - 14*p + 64 = 2*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5332.18 times 91.1?\nAnswer: 485761.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 131669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -400.89814 and 4?\nAnswer: 404.89814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1281 = 248*r - 187*r. What is the remainder when 2918 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 3*o - 9. Let g(i) = -9*i**2 - 5*i + 17. Let c(f) = 3*f**2 - 25*f + 13. Let h be c(8). What is h*b(l) + 3*g(l)?\nAnswer: -2*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01778589673 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + sqrt(320) + 0)*-6*3.\nAnswer: 180 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*j**4 + 791*j**2 - 172*j**5 - 1600*j + 109*j**2 + 200*j**3 - 3840 + 177*j**5 = 0. Calculate j.\nAnswer: -2, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**2*r**3 - 2*i**2*r**2 + 69*i**2*r + 965*i**2 - 200973*i*r**4 - 4*i + r**3 - 1 wrt r.\nAnswer: 12*i**2 - 4823352*i*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (-31 + 68 + -21)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -9*y**3\/8 + 207*y**2 - 12696*y + 896. Factor x(r).\nAnswer: -3*(3*r - 184)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 5*g + 0*g)*(-5*g - 43*g**4 + 51*g**4 + 2*g).\nAnswer: 8*g**5 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -68*13\/((-65)\/10) is divided by 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 156868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7519 = -3*x, 0 = 3*x + 3. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81129941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 646480129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 4*p = -6*l - 18, 1080*p + 15 = 1085*p for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-24))\/((6\/20)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22 and 27308.\nAnswer: -6007.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -8, -4.\nAnswer: -8, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 55. Suppose 4*n - d - 161 = t, n + 2*d - 7*d = 64. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*h + 48. Let v be ((-135)\/(-33))\/((-1038)\/(-3806)). What is the highest common factor of v and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125 - -328. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278 + -284. Let y be 3 + (-3)\/k*0\/(-3). Let p = 21 - 19. Solve 0 = -p*f - y*h + 12, -2*h - 19 = -5*f - 4*h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) 0.06 (b) -3931 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 720069047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*y + 294 - 3 = 4*f - 9*f + 11*y, 17*f - y + 80 = 26 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**10\/60480 - m**8\/13440 + m**4\/3 + 4*m**2. Let g(b) be the second derivative of s(b). Find p, given that g(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*i + 3 + 9 = 0, 0 = -2*c + 3*i + 10. Solve -4*o = 3*p + 12 + 5, c*p = 5*o + 27 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80923 - -80945. Calculate the remainder when (-104)\/(-1) + -2 - 1 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1. Let w(m) = -m - 3. Let a(z) = 3*h(z) - w(z). Let k(x) = -7*x. What is a(k(o))?\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 867, 105, -661, -1431, -2205, -2983?\nAnswer: -3765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*o + q, 3 = 2*o + 2*q - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i - 2*a = 1332, 4*i = 4*a + 5320. Suppose 11*u + 470 - i = 0. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 91039200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqppqpqppppp. What is prob of picking 1 q and 1 p?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 6. Let d be b(0). Let v(y) = -8*y - 3. Suppose h - i + 145 = -6*i, 3 = -3*i. Let m = -123 - h. Let x(k) = 23*k + 8. Give d*x(w) + m*v(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3))**(-24)*(x\/(x*x\/(x\/(x*x**(6\/11))))*x)\/x**(-3))\/((x\/x**(-1))**(1\/18))**(6\/11) assuming x is positive.\nAnswer: x**(-449\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 5*u - 1. Let g be w(3). Calculate the highest common divisor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 39. Sort f, 3, -5, 2\/9 in increasing order.\nAnswer: -5, 2\/9, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1865434, -3730886, -5596338, -7461790?\n\"Answer: -1865452*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 15902980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + l - 377 + 1047, -l = -2*x + 448. Suppose 2*f - 3*f - 114 = 0. Let o = -77 - f. Calculate the highest common factor of x and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (384\/96)\/(1254\/19)*(-6)\/8?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 23 + 4 = 0. Suppose -2*y + n = -l - 33, 0 = 3*y + 2*l - 49. Suppose 11 = 2*v - y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 64*g - 324. Let w be v(5). Let m be (1\/((-1)\/16))\/5. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143774414.\nAnswer: 2, 3, 37, 1717379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31119 - 26357 = 814*d + 35520 + 31106 for d.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135345 by -3867.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10887 and 456.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*b - 4, 4 = x + 3*x + b. Let f = x + 12. Solve 4*j = -2*p - 1 - f, -3*j + 2 = -p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 19*a + 43. Let o be t(15). Let q(f) = -f**2 - 22*f - 87. Let y be q(o). Put y, -4, -0.6, 2\/19 in descending order.\nAnswer: 2\/19, -0.6, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401618 to the power of 1\/2, to the nearest integer?\nAnswer: 2098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 = 4*s - 9, s = -5*n + 20. Suppose s = 241*z - 245*z + 596. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 + -72. Let t be 6\/(-24)*i*4\/5. Suppose 4*b - t*v + 336 = 2*v, 0 = -2*v + 4. Which is smaller: b or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 g when three letters picked without replacement from eayyoaagaaogooggoag.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14310*w + 2029*w - 1472212 - 453143 + 242438 = 0 for w.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3846594, 3846625, 3846656, 3846687, 3846718, 3846749?\nAnswer: 3846780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/((-130)\/30)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25860817 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.96 < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - 447*w + 1840. Determine b(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59843.59 millimeters to meters.\nAnswer: 59.84359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2216*o**4 - 682*o**3 - 2681445*o**2 wrt o.\nAnswer: 53184*o - 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2678.00010894 + 2678. Round o to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2 + 30*i + 27 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28073.1481 + -28071. Round m to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 100011111101010101111110?\nAnswer: 100011111101010110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -132, -1367, -4818, -11595, -22808?\n\"Answer: -185*u**3 + 2*u**2 + 54*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-17181)\/690 + 1\/(20\/(-102))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 174 = -7*t. Let d be 227 - (-2)\/((-8)\/(-4)). Suppose 2*r - t = k - 0*k, 0 = -5*r - k + d. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -15*d + 1\/4*d**4 + 0 + 0*d**3 + 0*d**2. Let g(u) = 12*u**2. Determine g(o(j)).\nAnswer: 108*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -14.5.\nAnswer: -7.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 8*f + 9. Let v be ((-6)\/(-7))\/(-1)*-7. Does 11 divide d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267 + -437. Let w = u - -298. Suppose 0*p = 2*p - w. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*i - 0*i - 4757, -2*i = 3*w - 14257. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -67, -156, -281?\n\"Answer: -18*t**2 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**5\/90 + 38*l**4\/27 + 73*l**3\/27 - 50*l**2\/3 - 3033*l. Factor p(o).\nAnswer: 2*(o - 1)*(o + 2)*(o + 75)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 + (-8 - -16))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -88988 divided by -977?\nAnswer: 88988\/977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61? (a) -971 (b) 10 (c) 0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464129 is divided by 18565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssr. Give prob of sequence sssr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13234500 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 2.59 (b) -1 (c) 32\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9108406 tonnes to nanograms.\nAnswer: 910840600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*d = -1, 4*c + 5*d = 5*c - 7. Let h be c - (-1)\/(2\/8). Suppose -26*g + 185 - 81 = 0. Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.2 + 0.8. Let w = 10.9999987 - j. Round w to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 13. Let m = w + 23. Suppose l = -0*l + 3. Solve -5*g + m - 2 = -3*h, -2*g = -h - l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 6*h**2 - 5*h - 4. Let j be w(5). Let x be 2\/11 - (-4784)\/(-660). Let z = 20\/3 + x. Which is the third biggest value? (a) -0.5 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l + 126. What is o(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608423688 divided by 4?\nAnswer: 1152105922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/8 + 15*u**2\/8 - 33*u\/4 + 10 = 0. Calculate u.\nAnswer: 2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11783454 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1994152*h + 2 + 1994141*h + 2*h**3 + 0 - 2*h**4 to the form a*h**3 + r + l*h**2 + g*h + v*h**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 157, 0.044, 12, -4\/7, 2\/23?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - z = -5, 0*x + 2*x - z = -5. Suppose f - 3 = -x*f. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a - 9. Let s be m(-6). Let v(h) be the second derivative of -h**5\/20 + 3*h**4\/4 + h**3\/3 + 13*h**2\/2 - 17*h + 5. List the prime factors of v(s).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36252339 times 0.3?\nAnswer: 0.108757017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1080*i**2 - 103*i - 8.\nAnswer: -2160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -6 (b) -22 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -6*z - 2*b + 31, 2*z - 4*b + 1415 = 1397 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1626 and 19\/813.\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + 0.146. Which is smaller: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*s + 53 = 0, -5*b + 5*s - 34 = -89. Let m(z) = -4*z**3 + 9*z**2 - 21*z. Let f(g) = -g**3 + 2*g**2 - 5*g. Calculate b*f(d) - 2*m(d).\nAnswer: -d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5462, 5534, 5654, 5822, 6038?\n\"Answer: 24*s**2 + 5438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 1314 = -3846. Suppose -530 - k = -23*c. What is the greatest common divisor of c and 1102?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*w**5 + 40*w**5 + 37*w**5)*(0 + 4 - 1)*(2 + 3 + 1).\nAnswer: 918*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 0*t**4 - 6*t**2 + 0*t**5 + 0*t**3 - 1\/120*t**6 + 0 + 0*t. Factor w(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 16322747 in descending order.\nAnswer: 16322747, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9394 = 28467155*w - 28467232*w for w.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -27a6 (base 14) to base 9\nAnswer: -10544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4336560 (base 7) to base 11.\nAnswer: 332692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 3:15 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4995 = 7*o + 998. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*s + q - 0, 0 = -4*s + 3*q + 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15144607\/29 > 522229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - 111000100?\nAnswer: -111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1556 - 121.1556. Is 32 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 7\/2*i**2 + 27*i + 0*i**3 + 0*i**4 - 9\/10*i**5 + 0. What is the derivative of t(d) wrt d?\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 260*n**2 - 8430*n + 116. Give p(-62).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w\/((w\/((w\/(w\/w**(-2\/7)))\/w*w))\/w))\/w*w*w*(w\/(w\/(w**(-1\/2)*w)))\/w)\/((w\/(w**(-2\/13)*w)*w)\/(w*((w*w**(1\/2))\/w)\/w*w*w*w)) assuming w is positive.\nAnswer: w**(506\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4391 divided by -113\nAnswer: -4391\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.4 and 1.21?\nAnswer: -37.994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-87*k - 5*k - 1 + 40*k)*(-14 - 7 + 3).\nAnswer: 936*k + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9294929, -18589825, -27884721?\n\"Answer: -9294896*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*s + 16 = -12, s + 24 = 2*q. Suppose 7*t = 138 + 324. What is the greatest common divisor of q and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 12*a - 14*a. Suppose -a*x = -7*x + 30. Suppose x + 12 = j + 3*i, 2*j - 4*i + 6 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 59, 34, -11, -82, -185, -326?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 23*w - 5 = 3*g + 3*w, 0 = -4*w - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1797, 3610, 5423, 7236?\nAnswer: 9049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022210 + -1012110210?\nAnswer: -1021210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 136 - 136)*(b - 2*b - 3*b**3 - b).\nAnswer: 15*b**4 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -670 + -7?\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 154?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1025 + -10?\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -713092.2 to the nearest 10000.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b5 (base 13) to base 8.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 4, a: 2, g: 2, u: 2}. What is prob of picking 2 g and 1 u?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2410 + 11502?\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1469 - -11709\/8. Let m = 507143\/18 + -28183. Calculate the common denominator of m and g.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74.6*-4\nAnswer: -298.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 17, -3, 70, 2, -5 in decreasing order.\nAnswer: 70, 17, 4, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 18*v**2 - 45*v + 7. Give f(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 6:59 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56754964 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5652?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 0.0199?\nAnswer: 0.0199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 102*w**2 - 31*w - 1559. Let m(l) = -9*l - 8. What is the remainder when m(-6) is divided by v(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215360.\nAnswer: 2, 5, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -2*g - 6*i, 6*g - 4*g - 7*g = -0*g + 15*i + 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 2. Let d = -1.7 - g. Let p = -0.796 - d. What is p rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -85*m + 26*m + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 2 - h**3 - 3*h**2 + 5*h**2 - h**2. Suppose 0 = m - 5*k - 5, 0 = -5*m + 8*k - 6*k - 21. Is b(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 760\/123 (b) -2 (c) -1\/3 (d) 1 (e) 1191\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31131?\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3914 - -7242. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 + 3*d**3 - 262559 + 262564 + 18*d to z + p*d**2 + q*d + t*d**3 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 10172, 0.06, -3?\nAnswer: 10172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 17 = -2*y, 13*n = -y + 11*n + 4. Is 11 a factor of (-3 + (-376)\/y)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-262982)\/(-2) - 30\/(-6). Suppose -2*r + z = -7*r + a, -5*r + z + 131504 = 0. What is r rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430\/(-2365) - (0 + -5 + 5592\/(-264))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -12. Let f be (-39)\/(-6) - 2\/(-4). Suppose 2*z = -3*h + f, z + 3*z - 5*h - 25 = 0. Is z != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2339 + -12.2339. What is the closest to 2 in 3, -0.3, i, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1433369 divided by 32.\nAnswer: 1433369\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7516*j**4*z - 2*j**2*z**3 - 6793*z**3 wrt j?\nAnswer: 30064*j**3*z - 4*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 1989*k - 1986*k - 18, k = 2*o + 46 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66 in -0.4, 14\/11, 0.5?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014365 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 429859 and 6135.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 30, -1, -68, -183?\nAnswer: -358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - t**2 + 13*t. Let m be d(0). Let r(o) = -2*o**2 + 19. Determine r(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241389 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*((2 + 2 + 2)*(-3*m - 3*m + 3*m) - 26 + 26 + 8*m) as j*m + v and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*o + 40, -o - 12 = -4*o. Let p be (-40)\/a*(-3)\/(30\/8). Let m(b) = b**2 + 9*b + 11. Let x be m(p). Solve -4 = x*i + 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -19\/20*b**5 + 5*b - 1\/12*b**4 - 1\/2*b**2 - 1\/3*b**3 + 0. List the prime factors of h(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.84704676 rounded to two dps?\nAnswer: 168.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2444678*p**3 - 4889363*p**3 + 2444682*p**3 + 8*p**2 - 8*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3\/5, -211, 1\/4, -2\/11?\nAnswer: -211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10))**(-35)\/(d**(2\/7)*((d\/(d**(-20)*d))\/d*d)\/d*d) assuming d is positive.\nAnswer: d**(2308\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w - 8. Let y be t(-2). Suppose y*n = -8*n + 3320. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = v + 4*v, v = f + 12. Let x be 8\/28 + 4\/f + 2. Let j(b) = -22*b + 8*b + 12*b**x + 14*b. Let l(g) = 3*g**2. Give j(l(t)).\nAnswer: 108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37388 - -71233. What is y rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 11. Suppose z = -5*b - 7 + 27. Suppose 15 = -0*k - 3*k, b*k + 41 = l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6185, -4, 3 in decreasing order.\nAnswer: 3, -4, -6185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1136 and 2130.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/2 - 3*c**4\/2 + 2*c**3 = 0. What is c?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -114, -243, -378, -531, -714?\n\"Answer: -2*m**3 + 9*m**2 - 142*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f - 2 = 0. Let g = 10549 - 10546. What are the prime factors of (f - g)*(0 + -1) + 205?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (28 - -22) - (1 + 23)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, 4, -12, -0.2 in increasing order.\nAnswer: -12, -0.4, -0.2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101000 (base 2) in base 11?\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 9:15 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9420, -20951, -32484, -44019?\n\"Answer: -t**2 - 11528*t + 2109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*r + 8. Let b be 8*(r\/8 + 0). Sort -5, b, 5 in descending order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, a: 8, p: 2, o: 3, n: 2, t: 1}. What is prob of picking 1 a and 1 o?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 + 126. Suppose 48 = 5*x + 2*c - 0*c, -z = -4*x + c. Calculate the smallest common multiple of 2 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + ((sqrt(672)*2)\/(sqrt(6) + sqrt(600) + 2*sqrt(600)))**2.\nAnswer: 448\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482926743?\nAnswer: 3, 13, 19, 217241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 + 188*i + 38 - 38.\nAnswer: 188*i - 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 451568336*c**2 - 451568319*c**2 - 1.\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 2. Let j(f) be the second derivative of -f**4\/24 + 3*f**3\/2 + 21*f. Let z(g) be the second derivative of j(g). Calculate -q(k) + 2*z(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v + 3*t - 29 = 0, 4*t = -5*v + 37. List the prime factors of (-3)\/v + -276*28\/(-105).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517616189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 0, -4*y = -y - 4*s + 6. Let g(v) = v**2. Let a(t) = 13*t**2 + 3*t. Let i(b) = y*a(b) + 6*g(b). Find the second derivative of i(n) wrt n.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42 - (12\/4 - 4). Let k(x) = 9*x + 4*x + 10*x - h*x. Let o(l) be the second derivative of l**4\/6 - l - 1. What is k(o(v))?\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 577 - 559. Solve -32*h + 41*h + i = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642076424.\nAnswer: 2, 3, 193, 118169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 - 24 = -5*k, -4*k + 24 = -u. Let q = -2 - -2. Suppose 9 + 18 = 3*i + 5*j, -i + 2*j - 2 = q. Solve -2*h + k = -i*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -1010100?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 + 27*h**2 - 12*h - 36 = 0. What is h?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(13) + 2 + sqrt(325)) + -3*((sqrt(13) - (sqrt(52))**2)*4 + 5).\nAnswer: 24*sqrt(13) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 8*p**2 + 8*p + 11. What is the least common multiple of 5 and w(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v**3 - 76*v**2 - 34*v - 20. What is h(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 789599.3 weeks?\nAnswer: 477549656640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -28. Which is the second smallest value? (a) -1\/7 (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 11 in decreasing order.\nAnswer: 11, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.4 - -6. Let g be (16\/(-12))\/(39\/9 - 1). What is the nearest to g in s, 0, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5968?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 6*q**2 - 6*q + 5. Let i(w) = -w**2 + 24*w + 45. Let k be i(0). Suppose 45*b = 36*b - k. Calculate d(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Suppose -2*u + w = -u. Suppose z + u = 16. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2)*-2*2\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 441 and 7?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = 4*i - 16*z - 5172, -4*i = 2*z - 5188. What is the lowest common multiple of 925 and i?\nAnswer: 6475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -63*q**3 + 50*q**2 - 8007*q - 28. Let p(c) = -3*c**3 - 2*c**2 + c - 14. Let v(l) = -k(l) + 2*p(l). What is the second derivative of v(w) wrt w?\nAnswer: 342*w - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x = 65. Let m be (0\/x)\/(0 - -4). Suppose l + m - 4 = 0. Solve -2*q = 4*b - 12, l*b - 8 = -4*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from aataltgttt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 2*w**3 - 3*w**3 + 0*w**3 - 3*w**3 + 2*w**3 + (2*w - 3*w + 0*w)*(5*w**2 - 2*w**2 - 2*w**2) to the form z*w + c + q*w**2 + t*w**3 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005563594 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14281878 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97342923056 + -2770.\nAnswer: -97342925826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 430336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 4\/555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(-2)\/y)\/y*y\/((y\/(y\/y**7))\/y)*y**(1\/9)*y*y**(-4))\/(((y\/(y*(y*y**0)\/y*y))\/y*y)\/(y*y*y**(4\/7))*y**(3\/4)*y*y**(-2\/7)) assuming y is positive.\nAnswer: y**(-1961\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d + 19*d - 114 + 289 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466*n = -u - 467*n + 935*n + 67, -2*u + 6*n = n - 139 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4429 is divided by 1448.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvnf when four letters picked without replacement from {f: 1, k: 1, n: 4, a: 1, r: 3, v: 4}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021614036 to 7 dps.\nAnswer: -0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 5566?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 + 31230*q**3 - 2*q**2 + 288638*q**3.\nAnswer: 319868*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 26*l**2. Let c(o) = 13*o. Let a(t) = 64*t. Let x(b) = 3*a(b) - 16*c(b). Let m(z) = -3*z. Let s(u) = 11*m(u) - 2*x(u). Calculate s(v(i)).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 14*l - 5. Let s(r) = r**2 - 11*r + 37. Let o be s(5). Let w(m) = -3*m + 13. Let c be w(o). Is u(c) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**5 + 7*s**2 + 5*s**5 + 25*s**5 - 32*s**2 wrt s.\nAnswer: 1740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*u - 1. Suppose -u*l + 9*l - 150 = 0. Suppose -1 - 4 = -2*x - h, l = 2*x - 4*h. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 43. Suppose -4*f = -6*n + 4*n - c, 0 = 2*f - 5*n - 15. Put f, -28, -3 in ascending order.\nAnswer: -28, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.144, -4, 0.0469, -0.1, -2 in ascending order.\nAnswer: -4, -2, -0.1, 0.0469, 0.144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12 and -31\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2738*l**3\/9 - 477670*l**2\/9 + 6864208*l\/3 + 2341448 = 0.\nAnswer: -1, 3246\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3, 3.7, 26, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8824 - -8875. What is the third smallest value in 1.5, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14252621 is divided by 233.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729096543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 26*w**2 + 84*w - 35. Give x(-22).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*p*w + 421*p - 5449*w with respect to p.\nAnswer: 15*w + 421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-17)\/r**6)\/(r**13*r*r*r**(1\/9)))**(-33) assuming r is positive.\nAnswer: r**(3773\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**5\/60 + d**4\/6 - 3*d**2\/2 + 2. Let c(a) be the second derivative of u(a). Find the second derivative of c(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r - 6. Let d be (-7 + 1)\/r + 3. Let g(l) = -2*l - 3. Let p(x) = -11*x - 17. Determine d*p(f) - 34*g(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 12*m**3 + 0*m**3 - 30*m**3.\nAnswer: -43*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - ((-58 - -44) + 94).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*u - 279*u + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3733589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 5:10 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/sqrt(6) - sqrt(84)\/(sqrt(12) - sqrt(588) - sqrt(12)))*4 - ((sqrt(112)*-3 + (sqrt(700) - sqrt(700)*1))*-6)**2.\nAnswer: -36288 + 88*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 62 - 15*s)*(-74 - 1 + 222 + 162).\nAnswer: -4635*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 26*o**2 + 11*o - 19. Let y(d) = -14*d**2 - 6*d + 9. Calculate 6*m(s) + 11*y(s).\nAnswer: 2*s**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-5 + 10 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xztaczxll. What is prob of sequence tlx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*n**2 - 1)*(-3 + 5 - 3)*(-2 + 4 - 3)*(-4*n**3 + 2*n**3 + 0*n**3) + (0*n**3 - n**3 + 0*n**3)*(2*n**2 + 3*n**2 - 3*n**2) + 4*n**5 - n**5 - 5*n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 429648?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5825?\nAnswer: 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.342 - -32. Let t = 0.5427 + a. Let q = t + -0.2. What is q rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8667 + -8668. Which is smaller: 11403 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3223)\/762)\/(-11)*-38. Let c = 7\/127 - w. Find the common denominator of c and -101\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6807*1\/(-3) + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1582433.\nAnswer: 601, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/8 + 9\/36. Solve 5*i - 5*c = -30, -5*i = a*c + 20 + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3266, -7743, -15188, -25589, -38934, -55211?\nAnswer: -74408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 431*b**4\/12 + 203*b**2\/2 + 5*b - 17. Find the first derivative of o(v) wrt v.\nAnswer: 862*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.5, -39, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*i + 13. Suppose 0 = i*y + 3*g + 17, -2*y - g - 3*g - 18 = 0. Is 19 a factor of (y\/(-3))\/((-1)\/(-93))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 6*u = 222. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/5)\/(6\/4). Suppose 2*y + 0*j - 2*j = 0, 5*y - 6 = x*j. Suppose -y*d + 58 = s + 3*s, -3*s = 2*d - 59. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19768950 less than 0.0804?\nAnswer: -19768949.9196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) -3 (c) -3\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let u(p) = 1465*p. Determine u(a(l)).\nAnswer: -2930*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100304233 (base 5) to base 2.\nAnswer: -1100001110010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/4)\/(2375\/5125*82).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = 13*q + 322. What is the units digit of 2*-1 + 614 - q\/(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**3 + 519*p**2 + 4977*p - 20. Let u(a) = 5*a**3 - 519*a**2 - 4974*a + 16. Let r(t) = 4*b(t) + 5*u(t). Find the second derivative of r(v) wrt v.\nAnswer: 6*v - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-42)*(-6)\/4. Let h be 1 + 7\/(21\/(-5)). Which is the nearest to h? (a) 5 (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208.0000718 + 208. Round q to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 4)*(-2 - 4 + 4) + 4 + 3 - 5 + 2 + 0 - 1)*(-1 - w**4 + 3*w**4 + 2*w**4).\nAnswer: 20*w**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/6)\/(3\/(-612)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:11 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*o - 620 - 482. Suppose o*f - 1398 = 52*f. Round f to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481115893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**7\/5880 - s**6\/1680 + s**5\/140 - 19*s**4\/24 + 21*s**2. Let l(q) be the second derivative of o(q). Factor l(m).\nAnswer: -3*(m - 1)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39442 minus 0.17?\nAnswer: -39442.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l + 36370 - 36370 - 584*l**3 - l - 678*l**2 wrt l.\nAnswer: -3504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34\/5365 or -1?\nAnswer: 34\/5365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/370*(165\/(-6))\/11.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = 3*q - 2*r, 5 + 7 = -3*r. Is q\/(-5) - 7*4\/70 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6\/7)\/q*q**(-1\/5)\/q*(q**(-2)*q)**(3\/43) assuming q is positive.\nAnswer: q**(-4706\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 2*t**5 - t + (-5 + 3 + 1)*(-5*t**5 + 2*t**5 + t**5) - 29*t**5 - 3*t**5 + 2*t**5 + 2*t**5 + 3*t**4 - 3*t**4.\nAnswer: -24*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -551, -868, -1185?\nAnswer: -1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/11 + 26930*h**4\/11 - 76454836*h**3\/11 - 99109261820*h**2\/11 + 198447780438*h\/11 - 99262090710\/11 = 0. What is h?\nAnswer: -955, 1, 7209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 5 - 5 + (-3 + 3 + 2*w)*(2*w + 0*w - 3*w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5600 and 38416?\nAnswer: 1920800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14551, 58413, 131517, 233863, 365451, 526281, 716353?\nAnswer: 935667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.067 (b) -1\/2 (c) 2\/35 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 16. What is j(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 51*n + 48*n - 36 + 12 + 20.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -41376.\nAnswer: -41375.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -31. Suppose 2 = 3*g - b*g. What is the first derivative of -14 - g*r + r + 17 wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89394?\nAnswer: 2, 3, 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 8*y - 5. Calculate h(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 191627.6 years?\nAnswer: 2299531.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15.93 micrometers?\nAnswer: 0.00001593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/(s\/s**(1\/29))*s)\/s*s*s**(-12))\/((s**(-27)\/s)\/(s*s**5\/s)))**(17\/5) assuming s is positive.\nAnswer: s**(11849\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-1 + -6 - -10) + 9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let n(d) = -37904212*d. Give m(n(q)).\nAnswer: 37904212*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1418387*8.\nAnswer: -11347096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 68 - 1037*u + 54.\nAnswer: -1037*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**3 - 35242647*w + 35242647*w.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1053) - (sqrt(1053)*1 + sqrt(1053)))*-4 + 4)**2 + -1.\nAnswer: 864*sqrt(13) + 151647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3489 is divided by ((-2536)\/(-80)*-2)\/(3\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4365 + -13094\/3. Put -0.3, h, 0.6, 23 in ascending order.\nAnswer: -0.3, h, 0.6, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 12*u + 15.\nAnswer: -3*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81334, 81470, 81606, 81742, 81878, 82014?\nAnswer: 82150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 4*f**2 - 2*f - 4. Let h be z(-4). Suppose h*b - 4 = 0, 3*j + 4*b + 1019 = 6*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 243\nAnswer: -5\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2. Let x(n) = -286760*n. What is x(i(d))?\nAnswer: -860280*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.59 + 0.09. Let k = 0.54 + h. Let z = -4.96 - k. Which is the biggest value? (a) z (b) 2\/13 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 15332608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2690 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -n + 13, 5*d = -5*n + 3 + 2. List the prime factors of (1 + -2)*(d + -50).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -250969 - -692172. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 - 20683.\nAnswer: -20684.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 13*f**3 - 7*f**2 - 7*f - 6. Let w(q) = q**3 + q**2 + q + 1. Let k(y) = -o(y) - 5*w(y). What is the remainder when 51 is divided by k(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 5:44 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**2 - 5*m**2 + 5*m**2 - 2*m**3 + 3*m - 4*m**2 to n*m**2 + y + x*m + o*m**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 14. Let p be g(18). Suppose -k = -c - 2*c + 10700, 2*k = p*c - 21400. What is k rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p + h - 2 = 0, 4*p - 5 = h. Let x be (4 - -2)*(-2)\/(-4). What is the lowest common multiple of 8 and (x*-13)\/(-3) + p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -317*b**4 + 650 with respect to b.\nAnswer: -1268*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -383 by -3.\nAnswer: 383\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2200 divide 121385000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 142614945053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115973 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1505 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Let q(x) be the second derivative of -x**3\/6 - 2*x**2 - 3*x. Let l be q(-5). Solve k*y + 9 = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*h + 344 - 94, h + 150 = -3*p. Let z = p - -212. Is (0 + -1)*1 + z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239.97 + -240. What is the fourth biggest value in -0.3, -9, -2, m?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -689.38 rounded to the nearest 10?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -15*g**2 + 377*g - 1141. Give o(3).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1296\/(-56))\/9)\/(-32*(-84)\/68992)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236673?\nAnswer: 3, 26297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 18*t**2 - 7*t + 49. Calculate m(3).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2\/(-2)*1). What is the units digit of (-15)\/(-2)*(1 + u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527*o**3 + 25955*o**2\/6 - 1237*o\/2 - 2119\/3 = 0. What is o?\nAnswer: -1\/3, 1\/2, 4238\/527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002035 to five decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*v**3 - 138*v**2 - 1067*v**2 - 107*v**3.\nAnswer: 5*v**3 - 1205*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48286 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2265*l**3 + 84829*l**2 + 2343 - 84829*l**2 wrt l.\nAnswer: -6795*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/4)\/(60\/(-48))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 219214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w - 44. Let f be g(-20). What is the highest common divisor of f and 1248?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 108 - 18 = 0. Let m = n + 18. Suppose -3*r + 18 = -m. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -13. Let n be ((0 - 3) + 385\/175)*-5. Let v be (n\/(-6))\/(b\/(-18)). Let w(q) = -5*q - 1. Determine w(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + q + 3*q = 12882, -4*n - 3*q + 10306 = 0. Let w be -6087*14\/(-33) + -1. Let b = n - w. What is the common denominator of b and -5\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z - 5. Calculate y(-16).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*p - 5*p - 2 + 4 + (5 - 3 + 0)*(0 + 0 + p))*(2 + 3 - 3) in the form j + o*p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*k + 764, 5*x - k + 5600 = 1675. Let u = 10915\/14 + x. What is the common denominator of 31\/18 and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5, 1, -1.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12068000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -13 (b) 0.3 (c) 4\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h + 132. Let o be y(14). Solve -4*s - 7*b = -5*b - o, -3*b = 3*s - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 - 2*z - 7. Let y(u) = -17*u**2 - 23*u - 17. Let r(k) = -36*k**2 - 51*k - 35. Let s(d) = 4*r(d) - 9*y(d). What is -11*m(n) - 6*s(n)?\nAnswer: n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2262962 from -298722921.\nAnswer: -300985883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 3*t**2 + 4*t. Suppose -3*k - 2*k + 15 = 0. Let i be r(k). Suppose -4*o = -0*o - i. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 9. Which is the closest to f? (a) -2 (b) 1\/6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1671*j + 114 = 1673*j. What is the remainder when 1762 is divided by j?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2*j - 54, w = 3*j - j + 31. Let v = 27 + w. Suppose 3*o + 5*n = 70, -v = -4*o + o + 5*n. What is the greatest common factor of 220 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -5\/2, -0.4, -11, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocne when four letters picked without replacement from {e: 2, j: 1, n: 10, c: 4, o: 2}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6355*g**2 + 51946.\nAnswer: 12710*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/(-20)*(-14)\/(-3). Suppose 8*u = -q*u + 2970. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 20 = 0. Let t(p) = p**2 - 2. Calculate the lowest common multiple of t(4) and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**3 + i**2 - 10*i + 7. Let r be n(1). Calculate the greatest common factor of 1475 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -297.1 - -297. Which is the closest to f? (a) 0.2 (b) -5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 smaller than -459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18148 to four decimal places.\nAnswer: -0.1815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1126 divide 34149328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 305228, 305242, 305252, 305258, 305260, 305258, 305252?\n\"Answer: -2*g**2 + 20*g + 305210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:45 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -1 + -28 + 129 + -77 + 1 + 95\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -546730 - 995*f + 546730 - 365*f.\nAnswer: -1360*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*t - 12138, t - 4*a - 2670 = 3402. List the prime factors of t.\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from gvymmevvyy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-327)\/33*-40*737\/(-2680)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 19*b**2 + 9*b**2 + 23*b**2)*(0*b**2 + 0*b**2 - 15*b**2).\nAnswer: -195*b**4 - 60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + (sqrt(208) + 1 - sqrt(208)) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from ostoy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4143 + 4149 + 2*y - 8292.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-342)*-6)\/(-1). Let d = 2 + -1. Which is greater: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6*(38\/6 + -1) is divided by 15 - (-3 - (2 + -3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ce26c - -4?\nAnswer: 1ce271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690 a factor of 59395050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 12:52 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/13 - 164*n**2 + 4258*n\/13 - 2128\/13 = 0?\nAnswer: 1, 1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l = 23*l + 550. Find b, given that b**2 - b**2 - 45 - l*b + 165 - 5*b**2 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1294*f - 229*f - 2002*f in the form l*f + o and give l.\nAnswer: -3525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 7:55 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + 0*o**2 + 12 - o + 5*o**2. Calculate x(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (283055*z**2 + 7*z**3 - 3*z + 3*z - 283253*z**2)*(-z**2 + 0*z + 0*z).\nAnswer: -7*z**5 + 198*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (13 - 7) - (-16 + 0) - -16?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 7*g - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 2)\/3 + 2 + 0. Let z(l) = 2*l**3 + l**2 - 2*l + 1. Calculate the least common multiple of z(j) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 0. Differentiate 40*q - 40*q - j*q**3 + 5 wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32859838 is divided by 1531.\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 174 and -0.5656.\nAnswer: 173.4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 7*x + 110. Suppose l - x = 182. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38405305 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 49, 76?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgwgb. What is prob of sequence gm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 8*t**2 + 6*t + 12. Give i(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 205. Let s = t - 95. Let w(h) = -h**3 + 6*h**2 + 2*h. What is the remainder when w(5) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -96846*j - 96841. What is f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3758299 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4*(3*sqrt(104) + sqrt(104)))\/sqrt(8)*-5*4*3)**2.\nAnswer: -9600*sqrt(13) + 11980825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 485892252 to the nearest integer?\nAnswer: 22043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/14 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 52558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 49 = 41. Let g = -189 + 282. Let i = -73 + g. What is the greatest common divisor of i and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -0.4 (c) 0.02 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 950005 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 17*j + 16. Let d(x) = 19*x + 18. Let f(r) = -5*d(r) + 6*z(r). What is f(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 42.971. What is g rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 divided by 63667?\nAnswer: 142\/63667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 939?\nAnswer: 939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6600.188 days to microseconds.\nAnswer: 570256243200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -493 divided by -12?\nAnswer: 493\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2, -3\/4, 0, 2\/99?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/7)*j*j)\/(j*j**(7\/4)) assuming j is positive.\nAnswer: j**(-9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Find the third derivative of 18*r**2 + 11*r**5 - 52*r**2 - 40*r**3 + 40*r**d wrt r.\nAnswer: 660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536)*-6)\/((4*sqrt(60))\/sqrt(5)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -119 + 119. Sort m, 14, -4 in decreasing order.\nAnswer: 14, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 3. Let k be s(0). Suppose -2*b + 142 - 52 = -2*z, -5*b = -k*z - 219. Let v = b + -7. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 1020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2513*p**2 - 2064 + 1844*p**2 + 2064 in the form l + f*p**2 + h*p and give f.\nAnswer: 4357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 5*m**2 - 4*m + 3. Let x be p(-4). Let q(n) = 2 + 0*n + 3 - 4*n**x - n - 4. Determine q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - ((25 - 60) + 23 - -6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 14 = 3*a, 5*a + 3 + 17 = -5*u. Let h(s) = -s + 8. Calculate the remainder when 1\/(((-9)\/96)\/a) is divided by h(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 8*s - 111. Calculate the remainder when 47 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -i - 0. Let k(c) = 31 + 9*c + i*c - 3*c**2 - 3*c**3 - 10*c**2. Let s(f) = 2*f**3 + 9*f**2 - 13*f - 21. Let t(q) = 5*k(q) + 7*s(q). Factor t(j).\nAnswer: -(j - 2)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1017*j**3 + 264*j**2 + 81*j**3 + 3*j - 508*j**2 + 246*j**2.\nAnswer: 1098*j**3 + 2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2 - 3716442*w - 7432892 = 0. Calculate w.\nAnswer: -2, 1858223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(2 - 2*w - 2) + w + 4*w - 4*w + (1 + 0 - 3)*(-2*w - w + w) - 4 - 2*w + 4.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*l - 6 = 0, -6 - 4 = -4*y + 5*l. Suppose y = -2*h + 7 - 3. Let m be 1 - (-3 + h + -1). Solve m*c = -2*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 24969048 divided by 21788\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*r + 27629 = 27579, 2*i - 30 = 3*r for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 18*w + 1. Let m be v(-17). Suppose -t = -2*z - 0*t + 10, -4*z + t + m = 0. Solve 0 = 2*j - i + 6*i - 18, z*i - 28 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 24*y + 1. Let s(u) = 15*u + 1. Let n(h) = 4*m(h) - 6*s(h). Let z(l) = -21*l. What is n(z(d))?\nAnswer: -126*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 25 + 15 = 0. Solve -2*l = 3*z - c, l - 3*z - 2 = -6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010000011111 - 1000010010011?\nAnswer: 1001110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -b89 (base 16) in base 8?\nAnswer: -5611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14306, -28310, -42016, -55424, -68534, -81346, -93860?\nAnswer: -106076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 - 44 + 53 + 3*u - 67 - 55 + u**3 - 2*u**2 as d*u**2 + f*u + q + l*u**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18529 (base 10) to base 13.\nAnswer: -8584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5213.\nAnswer: 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 20*r**2 + r - 20. Let i(v) = 31*v**2 - v - 12. Let m be i(-1). What is w(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 5685710 - 5685962 = -16*w, 3*v + 5*w - 76 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. What is the remainder when (2\/(-1))\/(2\/(-19)) is divided by 2\/(-1 - y) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324858003109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 12.6.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 16 = -2*v, -5*v + 6 + 19 = -5*i. Which is the closest to i? (a) 4 (b) 2\/13 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.4 (b) -0.2 (c) 11000\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 588407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {m: 11, b: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 1, n: 4, d: 4, m: 3, a: 1}. Give prob of picking 1 u and 1 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2857900 to the nearest ten thousand.\nAnswer: -2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 489889409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 4*u**2 - 9*u - 23. Give d(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = 6*j - 66 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 140 - 142 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72703009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2 + 112798*y + 16109665 = 0 for y.\nAnswer: -112655, -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2\/(-2964)*1). Let d = a - 139305\/94. Let g = d - -3601\/564. What is the common denominator of g and -101\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(350) + -2*(sqrt(350) - ((sqrt(350) + 1*sqrt(350) - sqrt(350)) + sqrt(350) + sqrt(350))))\/sqrt(7))**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(3 + -1))\/(-1). Let d(t) = t**2 - 21*t + 79. Let z be d(18). Let c be 5\/z*0\/(-1). Put -7, c, u in ascending order.\nAnswer: -7, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - o + o + 0*o**3 + o**3 as p + m*o**2 + b*o + s*o**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1854.68 weeks to hours.\nAnswer: 311586.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -615, -928, -1241, -1554, -1867?\nAnswer: -2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 457 + -447. Solve -6 = 4*q + t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4932 = 35*n - 39*n. Let x be 1\/(3\/n) + 4. Suppose -x = -5*j + 35. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -27. What is the closest to 3\/7 in -1, -3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 o when four letters picked without replacement from hwhoxqlohqow?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*f - 25, p + 2*f = 6*p - 5. Let y be 167\/(-24) + 4 - p\/3. Which is bigger: y or -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -1099, -3, 3, -0.1, 9, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 0*u - 9*u - 13 + 15. Give b(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/16 and 123\/613100.\nAnswer: 2452400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 0 (b) 0.3 (c) -4703 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4251518 is divided by 1460?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j = 4*r - 24, -5*j - 2*r + 27 = 0. Suppose -21*q + 26*q = 95. What is the units digit of (4 - j) + q\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*a - 359, 2*i + 691 = -6*a + a. Let k be 0 - i\/2*2. Find the second derivative of -2*o + 9*o + 344*o**5 - k*o**5 wrt o.\nAnswer: -180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2 - 6. Let u(x) = -19*x**b + 43*x**2 + 1 - 27*x**2 - x**3. What is u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -522 - -520. Let h be (-42 + 37)*(1 + i). Let o(w) = -16*w - 1. Let z be o(-1). Solve -b - 6*n = -2*n + 9, -4*b + h*n - z = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -0.02 (c) -0.125 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-27)\/32 + (-17780)\/(-20320).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144211 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -180208, 4\/3.\nAnswer: -180208, -0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 9*i**2 + 49*i - 6. Determine x(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -c + 29, -5*c = -p - 4*p + 115. Suppose 0 = d - 3*d. Suppose -u = -d*u - p. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 7*r**2 + 4*r + 7. Let h be k(-6). Let a = h - 14. What is the least common multiple of 3 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7839329\/481 - 16298. Let z = -5\/37 + u. Let s = 2 + -3. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3485095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/19)\/(s\/s**(-16))*s**(1\/3)*s*s*s*s**(-10\/3) assuming s is positive.\nAnswer: s**(-325\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -961566*m**2 + 120 - 811529*m**2 - 120.\nAnswer: -1773095*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.76476776 + 0.08?\nAnswer: -13.68476776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16853*a + 84265. Calculate o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-440)\/45 - 2\/9. List the prime factors of 34\/10 + r\/25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/12)\/((-2)\/(-8)). Let d(x) = -2*x - 2. Suppose -4*g = 25*g - 116. Let f(s) = -214 + 3*s + 108 + 108. Determine g*d(r) + i*f(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.29 - -24.09. Sort -1\/2, j, 5 in ascending order.\nAnswer: -1\/2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/28 + (-165)\/(-693)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by -17.\nAnswer: -98\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20134, 19937, 19740?\nAnswer: 19543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5900 is divided by 53.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -1208\/55?\nAnswer: -1208\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from apaua?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 8*j**2 - 9*j - 6. Let w be s(-7). Suppose 0 = 10*y - w*y - 662. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + 47. Suppose -q + 2*q + 3*l = 7, -3*l = 3. Suppose -7*k + q*k = 36. What is the greatest common factor of k and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3685000 to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -609, -645, -695, -765, -861, -989?\n\"Answer: -f**3 - f**2 - 26*f - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - w**2 - 786*w - 5611. Determine g(-7).\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 831 + 855024\nAnswer: 855855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -14 + (-119 - -122).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -156219a (base 13) to base 12\nAnswer: -236962a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from zmrzzsbznbbrsbzrssmm.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40b9 - -b89?\nAnswer: -3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5181599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32792, 70503, 108214, 145925, 183636?\nAnswer: 221347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*(-36)\/(-135)*1\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 61*a**2 - 18*a + 156. What is the remainder when r(-49) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.12 - -32.945. Let u = 20.8 - n. Round u to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 481976*u + 5301733. Calculate o(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6736 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 80*m**2 + 80*m + 400. Give o(-81).\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - (-2 + 4))\/1. Let n = -1 + f. Let y(p) = p**2 + 5*p + 2. Determine y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4675\/(-3400)*(-540)\/(-110).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4938 + 4970 = -2*y, -4*y - 5*m = -26 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04927, 0.2, 0.596?\nAnswer: -0.04927","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(17)*3 + -2.\nAnswer: 1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101112 - -1000000?\nAnswer: 1101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35677784 is divided by 10818.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936723?\nAnswer: 3, 312241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/6 - 2*s**3\/3 - 25*s**2\/6 + 14*s\/3.\nAnswer: s*(s - 7)*(s - 1)*(s + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4 - 66. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/2 + 19 - 21.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/6672 + 12511\/6672. Sort 0.1, 0.16, t in decreasing order.\nAnswer: t, 0.16, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1280 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7165 + -7164.9999994305. What is z rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 29. Let g be 1\/(-6)*14*c. Let x be g\/14 + (-42)\/(-4). Solve 0*j = 3*j - x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7084048?\nAnswer: 2, 442753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21503828.1 - 7\nAnswer: -21503835.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7009?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, b: 8, m: 1, x: 3, l: 1, v: 1}. Give prob of sequence xmb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 8*h**2 - 80*h + 1. Give g(7).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -1\/2*g**2 - 4 + 9*g. Let n be y(9). Sort 1, 2, n in decreasing order.\nAnswer: 2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -15. Suppose -3*i + 20 = -i. Let h(l) = l - 10. Let f be h(i). Solve -7*q + k = -3*q - u, -q + 3*k + 8 = f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6.9. Let r = -4 - -11\/3. Which is the biggest value? (a) r (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/37)*b)**(2\/11)\/(b**(-4\/11)*b**(-2)) assuming b is positive.\nAnswer: b**(1106\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) + 1 + 110\/(-198)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 29*u + 38. Let c = -84 + 57. What is the units digit of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7452?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 20. Suppose 8*l + 105 = t*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21372 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347210096?\nAnswer: 2, 21700631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181885 divided by -55.\nAnswer: -3307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3916 = -2*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8\/5, -3, 166?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/83 in 2\/5, -1, -0.7, -3, 112, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 6)*(0 - 2 + 5)*(1 + 0 - 2)*(4 - 2 - 1)*(-4*b + 8*b + b).\nAnswer: -45*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 30570 to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -30 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -76, 1798.\nAnswer: -76, 0, 1798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 9 = 2*t, 3*t + 28*s = 32*s + 13. Solve 0 = -5*k - 10, 3*a = t*k - 2*k - 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78 - 5*g + 191 + 282 - 4 + 8*g to the form u + n*g and give u.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f. Let u(j) = -3*j**3 - 5*j**2 - 6*j - 1. Let l(o) = 6*m(o) - u(o). Let b be l(-1). Which is smaller: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1141, 2281, 3421, 4561, 5701?\nAnswer: 6841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/9? (a) 0 (b) 1 (c) -311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -23*l**6 - 2*l**5\/5 + 11*l**3\/3 - 281. Find the third derivative of i(n) wrt n.\nAnswer: -8280*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 23*d**4\/4 + 169*d**3\/2 + 739*d**2\/4 - 800*d + 525 = 0.\nAnswer: -10, -7, 1, 30\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.232399 months?\nAnswer: 0.0018603325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58397 is divided by 3633.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75755270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 - 8*s + 9. Let x = -34 - -40. Let u(h) = 4*h**2 - 7*h + 8. Calculate x*o(v) - 7*u(v).\nAnswer: 2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 2:48 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5\/4 - 13413*l**4\/2 - 59969523*l**3\/4 = 0?\nAnswer: -4471, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h. Let s(a) = -175*a + 4546. Let b be s(26). Let k(z) = z. Calculate b*d(j) - 8*k(j).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 2 - 0. Let t = q - -1. Solve -10 = -t*w - 0*w, -2*i = 4*w - 24 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450963 and 96743.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 6*w**2 - 8*w. Suppose 3*f = -2*f + 35. What is b(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -90 - 71 + 185 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (24 + (0 - 14)) - -10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + x + 75. Let b(o) = o**3 + 5*o**2 + 6*o + 8. Let d be b(-4). Let g = -13 - -39. What is the remainder when y(d) is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213348 is divided by 71097.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 147*t**2 - 20*t - 183. Let k(l) = l**2 + 5*l - 1. Let p(r) = -4*k(r) - m(r). Find the first derivative of p(x) wrt x.\nAnswer: -302*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(294\/420).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7610 is divided by 1089?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -280 divided by 10\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -35. Let v be 31\/t + (-10)\/(-80). Let u(d) = -d**3 + 4*d**2 - d + 4. Let f be u(v). Solve f = 2*n + x - 1, -5*x = -7 - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 4*x**2 - 10*x - 9. Suppose p - 2*h + 6 = 0, -5*p - 20 = 5*h + 10. Let u be z(p). Let k = -15 - u. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -86, -84, -82, -80?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/5 - 154*a**3\/5 + 6373*a**2\/5 - 34188*a\/5 + 49284\/5 = 0 for a.\nAnswer: 3, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/248 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*p + 2817 - 385 = 121*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 12:06 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -3144?\nAnswer: -3166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210221022 (base 3) to base 8.\nAnswer: -37170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 11:55 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1008) + 2 + -2)*-3 + (-4 + 1 + sqrt(1008) + 0 + sqrt(1008) + 5)*1)**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344866139?\nAnswer: 7, 11, 395491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 219 and 2478131?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose -1 = -4*h + 11. Let c(f) = -3*f - f**h + g*f + 0 - 1. Let i(b) = 3*b**3 + 2*b + 2. Give 4*c(u) + 2*i(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5\/3 + 4*r**4\/3 - 7*r**3 + 3*r**2 = 0 for r.\nAnswer: -3, 0, 1\/2, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7224)\/(-7740)*-12*(-3)\/(-14).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 12*f**2 - 20*f + 105. Suppose 2814 - 2788 = 2*m. Let k be c(m). Calculate the highest common factor of k and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -279243 (base 14) to base 9.\nAnswer: -2516786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9\/2)\/(t*(t\/t**(1\/54))\/t))\/((t*t**31*t)\/t*t*t*t**(4\/3)\/t) assuming t is positive.\nAnswer: t**(-1075\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6 = 2. Let z(n) = -5*n**3 + n**2 + n. Let d be z(-1). Suppose -21 = -m*i - d. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 21. Let s(v) = v + 6. Let u(d) = 2*q(d) - 7*s(d). Let g(l) = -l + 1. Let z(m) = -g(m) - 2*u(m). Give z(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113.34 + -113. Let l = u + -0.21. Let i = 73\/2 + -37. Which is the nearest to 2\/5? (a) l (b) -2\/13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-9)*(-3)\/(-2). Suppose -l*b + 20 = -b. Solve -3*j - 3*x = -2*j + b, -j = -x - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77597*n**2*y**2 - 60*n**2*y + 4*y**2 - 378028*y - 8 with respect to n.\nAnswer: -155194*n*y**2 - 120*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - p - 33*p**4 - 13*p**3 - 69*p**4 + 2 + 13*p**3 + 0 as q*p**2 + x + j*p**3 + s*p + a*p**4 and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 365873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxgs when four letters picked without replacement from {s: 1, h: 4, g: 2, x: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 180379677 to the power of 1\/2, to the nearest integer?\nAnswer: 13431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 424a?\nAnswer: -4245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 34. Let j = x + -12. Suppose j*i = 2*i + 6. Solve -3*k - 2*l = -6, -10 = -4*k + l - i*l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Let m = 7.8 + -6. Let f = m + 0.2. Which is the second biggest value? (a) -2\/15 (b) f (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -6. Suppose -3*v - 2*v + 175 = s. Suppose -43 = -5*l + 17. What is the remainder when v is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*a - 3*z - 51 = 349*a, 8*a - 3*a = -z - 17 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -340, -678, -1010, -1336?\n\"Answer: 3*c**2 - 347*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, x: 4, a: 1, f: 1}. Give prob of sequence axf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + ((sqrt(72) - sqrt(72)*2)*-5 - sqrt(72)))\/((-2*sqrt(6) + sqrt(6) + sqrt(6))*-4 + sqrt(6)))\/(sqrt(6)*-1*4 - sqrt(24)*-1))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 221*z**2 + 507*z - 15038. Give y(219).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**4\/2 - 43*c**3\/2 - 120*c**2 - 56*c + 356. Factor y(z).\nAnswer: -(z + 4)*(z + 28)*(4*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239 - 91 + 223 = 475*h - 104 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65\/8 or 7?\nAnswer: 65\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 133995*z**2\/8 - 3*z\/8 = 0.\nAnswer: 0, 1\/44665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(6\/4 - 0). Suppose -7*z + 100 = -3*z + 4*q, 4*z + f*q = 99. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*z, -2*z + 0*z = w - 12. Does 12 divide (-13)\/(-2)*(-2 + w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 13 = -5*j, -4*j = 2*s - 5*j + 5. Let h(f) be the first derivative of 1\/4*f**4 - 2 + 1\/3*f**3 + f**2 + 2*f. Determine h(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2554 + -1874. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1. Let w(p) = 4*p - 5. Give 5*o(y) - w(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = 3*q + 2*q. Let a(d) = 57*d - 1 + q*d + 3. Is a(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -7*f**2\/2 - 2*f - 2. Suppose -w - 4 = 5*z, 0 = -2*z + w - 3. Calculate the remainder when 19 is divided by r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(486\/30))\/((-5)\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2532 bigger than 2533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76852, 153680, 230508, 307336, 384164, 460992?\nAnswer: 537820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 21 = 4*n, 4*d + 22 = 4*n + 6. Calculate the remainder when n is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*i = 2*m + 1, -m + 5 = -5*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42506 + 210?\nAnswer: -422b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 473647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 + 4*i - i**3 - 3*i**2 + 41 - 91 + 4*i**2 + 44 in the form x*i**3 + c*i**2 + y + t*i and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 + 144. Let n = -189 + t. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 49*h - 25 = -53*h + 21, 4*j - 2*h = -34 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, j: 2, d: 10}. What is prob of picking 2 l and 2 d?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 21 - 636*r**2 + 10*r - 10*r - 290*r**2.\nAnswer: -926*r**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/3 + 1000*m**3\/3 - 11752*m**2\/3 + 19520*m\/3 = 0?\nAnswer: 0, 2, 10, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 3551?\nAnswer: -3534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83\/5 - 269\/15. Let j = -4 - -1. Let p = 4 + j. Which is the third smallest value? (a) p (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1929970 by -14.\nAnswer: -137855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -208, -354, -536, -760?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**5\/60 - x**4 - 24*x**3 - 20*x**2 + 25*x. Let z(w) be the first derivative of k(w). Let z(f) = 0. Calculate f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 327594630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q**2 - 7*q**2 + q**2. Let f(v) = 5*v**2 + 7*v**2 - 2*v**2 - 8*v**2. Determine s(f(m)).\nAnswer: -24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12))\/sqrt(4) + (sqrt(3) - (sqrt(300)\/sqrt(10))\/sqrt(10))**2.\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -75503 (base 11) to base 6\nAnswer: -2204034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29.13 - 29. Let c = -0.43 + d. Let a be (-26)\/(-15) - (-4)\/(-10). What is the closest to -2\/7 in 1, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 228, 333?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + x + 2, -4*g - 2*x = -3*g - 7. Suppose 0 = 3*y - 3 - 6. Let b be g - -2 - (9\/y)\/(-3). Calculate the greatest common factor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99732 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 - 80. Differentiate 14*r**2 + 2*r**2 - 12*r**q + 28 + 13*r**4 wrt r.\nAnswer: 4*r**3 + 32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/10, -3\/2, -1, 5\/28 in descending order.\nAnswer: 5\/28, -7\/10, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7405 is divided by 191?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, n: 12}. Give prob of picking 3 n.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.056 (b) -0.1 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -35452255 (base 6) to base 14\nAnswer: -20cd63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24\/11, -1\/5, -3, -0.1.\nAnswer: -3, -24\/11, -1\/5, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 44 + 73. Suppose -2*c = -3*c + m. Suppose -1 = -2*j + c. What is the remainder when 27 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*y + 5*a, 5*y - 3 = -a + 7. What is the least common multiple of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvzzzzvvvvvv. Give prob of picking 2 z and 2 v.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3*sqrt(143)*3 - (4*sqrt(143)*-2 + sqrt(143) + sqrt(143) + sqrt(143)))\/(sqrt(77)\/((sqrt(112)\/sqrt(2))\/sqrt(8))*6))**2.\nAnswer: -70*sqrt(13)\/3 + 862\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 6:02 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*a - 12 = 0, -4*y - a - 44 = -0*y. Calculate the remainder when 28\/3 - (-2)\/(-6) is divided by 24\/(-21)*35\/y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + -2*sqrt(539)*-4 + 3)*-5)**2.\nAnswer: -25200*sqrt(11) + 7761825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17920?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*6\/30 + (-78)\/22?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 90\/9 - 27.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -204\/19 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2708 (base 10) to base 4.\nAnswer: -222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v - 14. Let b be m(0). Let u be (b\/(-714))\/(2\/24). Find d such that u - 22\/17*d**2 + 18\/17*d = 0.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11.3 and -101 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67.48 - -0.52. Let i = -71 + w. What is the smallest value in -0.5, -4\/5, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31017 is divided by 10339.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbk when three letters picked without replacement from vbllklk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9)\/j)**(9\/8)*j**(-11)*j**8 assuming j is positive.\nAnswer: j**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i - 4. Suppose -2*f + 3*r - 4 = -14, r = -f + 5. Let l be (-10)\/(-10) + -2*f. Let u(s) = -s - 1. Calculate l*u(k) + 2*j(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*23.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 4:04 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111000011000 (base 2) to base 4\nAnswer: -320120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100616557687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 11:46 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(1\/4)*y)**(-29\/2)\/(y*y**(-2)*y*y**(14\/9)) assuming y is positive.\nAnswer: y**(-3505\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 - 16*j**3 - 42*j**2 - 40*j - 13 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035691847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44704 is divided by 14889?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00039819299 rounded to 6 decimal places?\nAnswer: 0.000398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 14 - 2. Suppose u*y - y - 6 = 0. Solve 25 = -r + y*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1297*k + 1321*k - 600 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (-6 - (6 - 9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/42)\/(8\/(-112))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286*(2001\/506 + -4) + (-981)\/75.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from spphsh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventy-one fifths of a meter?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9964096\/53 - -187994. Is t less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:10 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*o + 3*f, 4*f + 2 + 2 = 4*o. Let q(s) = -4*s - 1. Let v be q(o). Suppose -v*t - 2*t = -135. What is t rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.999507 - 4.000488. Let m = -0.9 + -4.1. Let u = q - m. Round u to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55b485 (base 15) in base 4?\nAnswer: -33212011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 558857 and 32123.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2561 * 14.5.\nAnswer: 3.71345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -472*w + 475*w. Let t = 75 - 44. Calculate the remainder when t is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -30*f - 731. Let c(o) = -11*o - 244. What is 4*b(r) - 11*c(r)?\nAnswer: r - 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/35)\/r**8)**(-7\/10)*(r\/(r*r*r**(-2\/3)))**(-1\/48)\/((r*r\/r**(-4\/5)*r)\/r*r*r**(-1\/4)) assuming r is positive.\nAnswer: r**(7549\/3600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -93, -96, -101, -108, -117, -128?\n\"Answer: -c**2 - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 + 190. What is the lowest common multiple of d and 7?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q - 3. Let t(c) = c. Let z(s) = 4*t(s) - w(s). Suppose 0 = 149*y - 152*y - 12, -2*f = -2*y + 4. What is z(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1123947 + 2247902 - 7*g - 1123958.\nAnswer: -7*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6556890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 711500 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b - 6. Let r(j) = 0 - 7 + 7 + 1. Give -g(p) - 6*r(p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o**3 - 25*o**2 - 8*o + 14. Let b(n) = 5*n**3 + 21*n**2 + 9*n - 15. Let j(w) = 6*b(w) + 5*t(w). Is 31 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3498737, -3498726, -3498701, -3498656, -3498585, -3498482, -3498341, -3498156?\nAnswer: -3497921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*z - 38*z = -917 + 756. Let d be (2 - (-20)\/(-9))*2. Which is bigger: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-10\/7))\/(r*r*(r\/(r**(-3\/8)*r))\/r*r) assuming r is positive.\nAnswer: r**(3\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.694 and 0.4.\nAnswer: -0.6776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 40*t**2 - 39*t + 4. Let c(k) = -2*k**2 + 22*k - 2. Give 2*c(u) + s(u).\nAnswer: 36*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*h**2 - 153*h + 153*h.\nAnswer: 95*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 115622, 121367, 127112, 132857?\n\"Answer: 5745*v + 109877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258*b*s**2 + 37*b*s + 3*b wrt s.\nAnswer: -516*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2\/(-1) - -4. Let a(h) = f + h**2 - 2. Let l(s) = s**2. Let n(r) = r**2. Let u(t) = l(t) + 3*n(t). What is u(a(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1292, 1294, 1296?\nAnswer: 1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 + 171 + (3 + -118)\/(-5)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*x**2 - 47*x**2 + 82*x**2 + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560620?\nAnswer: 2, 5, 28031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 20. Determine s(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m + 6799 = 33*m. What is the units digit of -1 + -2 - (m + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(1\/15)*(z**(1\/4))**(-18) assuming z is positive.\nAnswer: z**(-139\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 51423967059 from 102.\nAnswer: -51423966957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 2. Let z(t) = 2*t + 5. Suppose 5*i = -0*i - m + 29, 18 = 2*i + 2*m. Suppose -4*h + 3*h + 2*g + 9 = 0, -3*h = i*g - 60. Give h*l(o) + 6*z(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9182957 - -0.47535.\nAnswer: 9182957.47535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p - 11*p - 8*p + 4*p in the form x + f*p and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -20555 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*r - 148 = 0, 2*r = 3*a - 2*r + 469. Let y = a + 310. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -28155*m + 0 + 28155*m - 3 - 431*m**2. Let s(p) = -3*p. Give s(w(h)).\nAnswer: 1293*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1070951.\nAnswer: 7, 152993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -40.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5\/3 - 119*u**4\/3 - 373*u**3\/3 + 827*u**2\/3 + 1092*u + 732 = 0?\nAnswer: -3, -2, -1, 3, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/17 - 338*z**4\/17 + 20*z**3 = 0. What is z?\nAnswer: -170, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -22. Let x = q + -1. Suppose 0 = 21*n - 25*n - 16. Sort -2, x, n in increasing order.\nAnswer: n, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 34*y)*((0 + 0 + y)*(-1 + 2 + 0) - y - 3*y + y).\nAnswer: 68*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 15*m = 35*m + 1856 + 2767 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 339 and 1921?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 17651 - 17651.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-53)\/(-4) + ((-7)\/(-4))\/(-7). Let d(a) = -a**2 + 10*a - 12. Let y be d(l). Is y >= -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4 + 2)*4. Suppose -n*c = c - 9. Suppose 14 = i - 5*g + c, -5*i = -2*g - 147. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/(-3) - 19*9\/(-42) and -45\/77?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-14)\/(-3) + 4 - (-2)\/6 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/24*3\/1. Sort s, 1, -2.\nAnswer: -2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-40 + 4) - (-18 - (-21 + 14)) - 8?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(4)\/sqrt(2))*-6*-5*-5*3)**2 + 1.\nAnswer: 607501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 15920612*y + 2*y**3 - 15920600*y + 22 + 61 as d*y + f + t*y**2 + j*y**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1532000 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 22. Suppose 0 = 5*l - 8 + 3. Solve 2*c = c - k + l, -5*k = -c + x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1145\/7, 7.\nAnswer: -1145\/7, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 5 = 5*o - 4*a, 37 = -4*o - 5*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r**(-7)\/r)\/r*r)\/r**(-4\/3) assuming r is positive.\nAnswer: r**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*i + 336, 2*i - 2*p = -p - 141. Let f = 65 + i. Let q be (3 + (4 - 7))\/f. Solve q = -2*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*u - 194, -2*u + 49 + 87 = 2*i. Suppose 2*d + 5*p - i = 0, -3*d + 3 + 95 = -4*p. Suppose -4*k + 2 = -d. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 375?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*i - 94, -4*i - 5 = 2*b - 81. Let k(d) = d**3 - 7*d**2 + 9. Calculate the remainder when b is divided by k(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q + 10. Let l(j) = -5*j + 29. Suppose -89*p - 9 = -92*p. Give p*l(c) - 8*o(c).\nAnswer: c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + b + 217, -5*m - 345 = -2*b + 761. Let q = -215 - m. Solve -c + 10 = q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017508 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4455254 (base 8) to base 14.\nAnswer: 234508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**4\/7 + 474*v**3\/7 + 1383*v**2\/7 - 1860*v\/7 = 0.\nAnswer: -155, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (12\/(-30))\/(22\/(-9240)) + (7 - 0) and 75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**5\/30 + p**3\/3 - 2*p**2. Let k be n(2). Suppose -4 = -3*r - 2*m + 9, k = 5*m. Solve u = 2 - r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/637 in -5, 0.3, 5\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-744 + 112*f**2 + 744)*(1 + 0 - 6) to the form q*f + i*f**2 + v and give i.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*k + 166 - 85 - 86.\nAnswer: -224*k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeleeeeeee. Give prob of sequence el.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2317, -4627, -6951, -9295, -11665, -14067, -16507, -18991?\nAnswer: -21525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-28)*8*4\/56?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmkmb. Give prob of sequence nk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*o - 3*g - 23, -29 = -o + 5*g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 3*c**4\/4 - c**3\/2 + 4*c**2 + 10*c. Is 20 a factor of r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 5. Let z be o(-3). Which is bigger: z or 30\/29?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 + 0*a**4 - 2*a**4)*(116 - 9*a - 12*a - 118).\nAnswer: -21*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 28*k - 69*k + 20*k + 9*k**2 - k**3 - 10 + 16*k. What is w(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 35. Suppose i - 207 = -j. Suppose 335 = 5*g - f, -5*g + 162 + 193 = -5*f. Calculate the greatest common factor of i and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -25*a. Let z(p) = 4*p. Let o(k) = -6*b(k) - 35*z(k). Let l(u) = 20*u - 14. Let f(x) = -7*x + 5. Let r(t) = 14*f(t) + 5*l(t). What is o(r(j))?\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (16 + (3 - -15) + -23).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143341, -143317, -143277, -143221, -143149?\nAnswer: -143061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21825585128.3958 - 2?\nAnswer: 21825585126.3958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 0.4, 119, 0.05, 3\/2 in ascending order.\nAnswer: 0.05, 2\/9, 0.4, 3\/2, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 10*k + 145 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36343 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*g + 379*g - 124*g - 20*g - 114*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2300203 - 12?\nAnswer: 2300141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73584800 and 31270.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(297) - -1*sqrt(297))*-3)\/(-3*sqrt(432)*-1 - (6*(sqrt(432) - sqrt(432)*1) + sqrt(432) + sqrt(432))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/12936184 and -24\/1241?\nAnswer: 12936184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -44. Let t = -1 + -4. Let z = 0.23 - -0.07. What is the smallest value in t, k, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 12 + -6 + -19 + -10 + -13.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162863.\nAnswer: 23, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from ycpcp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38124702 by 477.\nAnswer: -79926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.629 * 0.1\nAnswer: 0.2629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2209, 4447, 6745, 9133, 11641, 14299, 17137, 20185?\n\"Answer: 5*d**3 + 2203*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9476024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 2861 + 1428 + 1433.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -694, -640, -598, -568, -550, -544?\n\"Answer: -6*t**2 + 72*t - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -10*j + 44. Let l(r) = 1 + 4 - 3 + 18*r. Let u be l(0). What is the greatest common factor of j and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = y - 16 + 140, 5*k + 2*y - 599 = 0. What is the highest common divisor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*r + 337*r = p + 2, -26 = -5*p + r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849050809.\nAnswer: 1849050809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.64749 - 0.24749. Which is the nearest to -1? (a) g (b) 1 (c) 4 (d) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 34 - (-1379 - -1443)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/4*(7020\/650)\/(84\/35).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 2, -2\/3, -72.32?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3086440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 4*m - 5 - 18, -3*h = m + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 = -14*r - 242. Let p(w) = -2*w - 1. Let z(c) = -2 - 4*c - 2*c + 3*c. What is r*z(m) - 7*p(m)?\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54.76 + 55. Let n = f - 0.04. Which is the closest to n? (a) -2\/7 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4616 times 0.3\nAnswer: 0.13848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -35271 and 152.\nAnswer: -35119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - 2 + 3)*(0 + 3 - 5) + (-1 - 3 + 3)*(-2 - 2 - 1))*(3 - 1 + 0)*(-1 - v + 1) to x + y*v and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219048 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 42 - 16 - 27 + 11*q. What is w(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**(-2\/11))\/c)\/(c*((c*c*(c\/c**(-13))\/c)\/c)\/c)*(c**(-2\/11)*c)**(-2\/39) assuming c is positive.\nAnswer: c**(-1839\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104431434 + 10?\nAnswer: 104431444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i + 3. Let c(f) = -3*f - 2. Let y be 6\/(-9)*9\/2. Give y*c(u) - 2*z(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 15 + 7)*(1 + 1 - 4)*(-j**5 + 3*j**4 - 3*j**4).\nAnswer: 192*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*l + 45 = -829*l - 3*m, 17 = -l - 3*m for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -3, 679, -4 in decreasing order.\nAnswer: 679, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {v: 4, p: 2, u: 3, m: 9}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 121572931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1211 - 1215.006. Let u = -0.006 - g. Let d = u + 2. What is the fourth biggest value in d, 3, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 590*h**2 - 1048*h + 135189. What is j(294)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1371 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6354, -25320, -56906, -101112, -157938, -227384, -309450?\n\"Answer: -6310*y**2 - 36*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 3 = -4*p. Suppose -b = -p - 4. Suppose -3*g + 0*v + 5*v = 16, 4*v = b*g + 16. Let u(n) = -5*n + 1. Give u(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/(-9)*18\/(-12). Suppose -s = -4 + 2, -m*s = -w + 92. Suppose x = 5*h + w - 35, x = 3*h + 59. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 4*r**2 + 2*r + 13. What is b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 84*g + 5. Suppose 5*x = 5*r + 6*x - 259, 0 = -5*r + 3*x + 263. Calculate the remainder when c(2) is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*n**2 - 21*n**2 + 35*n**2 + (-1 + 1 - 1)*(-2*n**2 + 3*n**2 + 3*n**2) - n - n**2 + n.\nAnswer: 41*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1425578 to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/7, 0.3, 0.5, -209 in descending order.\nAnswer: 0.5, 0.3, 1\/7, -4, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(-4*j - 4*j + 5*j)*(-3*j**2 - 2 + 2).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-25)\/(-9) - (-4)\/18*1. Suppose 3 = h + s*y - 10, -10 = -2*h - 2*y. What is the closest to -4\/5 in 0.4, -4, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11042 - 5*j**2 - 591*j**4 + 59*j**4 - 3008 wrt j.\nAnswer: -2128*j**3 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 584669 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/2991 and -21\/1994?\nAnswer: 5982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -40*i - 966. Determine m(5).\nAnswer: -1166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -48. Suppose 492 = -8*y + r*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1208 - -1212. Solve -3*q - 2 = b + 4*b, 5*b + 6 = -g*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 44*j**2 - 112*j + 4957. What is q(44)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-23)\/10*-2)\/(2\/5))\/((-537)\/(-1074))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03428764312 - 0.3?\nAnswer: -0.33428764312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 2, 0.031, -12?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 - 32*p**2 - 34*p + 23. What is q(9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 18770 - 18722 = 0. Put 7, -1\/11, p, 2, 0.1 in descending order.\nAnswer: 7, 2, 0.1, -1\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose 4*z - n = -4*n + 44, 0 = -o*z - n + 38. Let x = z + -9. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4 + sqrt(19) + sqrt(1539) + 0 + -1 + (sqrt(114)*-1)\/sqrt(6))**2)*-3*-3.\nAnswer: 486*sqrt(19) + 13977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28949*a**4*r + 3*a*r + 4*a*w + 428558*r*w + 3*w - 2 wrt a.\nAnswer: -115796*a**3*r + 3*r + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18520*g**2 + g - 64 - 18520*g**2 - g**3 + (12 - 12 + 6*g**2)*(-9 + 3 - 10*g + 5) to the form p*g + w*g**3 + s + y*g**2 and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(49\/(-42)) - 56\/(-12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*z - 6 - 14, w + 2*z = 1. Suppose 11*g - 8*g + 43112 = w*t, 5*t - 5*g = 43110. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-20)\/(-15)*3\/2. Let n be (t - (4 + -2)) + 0. What is s in -81\/2 - 12*s**3 + 0*s + 3\/2*s**n + 27*s**2 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286 a factor of 258053033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4944*l = -4887*l - 1083 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328 by 11.\nAnswer: -328\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/13 + 546550*k**2\/13 + 37266541454*k\/13 - 9989167639494\/13.\nAnswer: 2*(k - 267)*(k + 136771)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3717.999323 + 3718. Round u to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1083, 1092, 1123, 1188, 1299, 1468, 1707, 2028?\n\"Answer: 2*v**3 - v**2 - 2*v + 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28825112*d**2*r**2 + d**2*r + 2*d**2 + 40*d*r - 2*d - 361*r wrt r?\nAnswer: 57650224*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/28*-41*(-66)\/1353.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038027?\nAnswer: 3, 19, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n - 0. Suppose -2*p + 16 = -0*t - n*t, -4*t - 4 = 4*p. Solve 5*h - 4*b + 5 = 0, 2*h - 4*b = -0*b - p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -124, -125, -126, -127, -128?\n\"Answer: -a - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000515 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -48 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 319967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*o**3 + 16*o**3 + 479*o - 443*o + 10)*(o - 3*o + 0*o).\nAnswer: -4*o**4 - 72*o**2 - 20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*j = 290 - 8, 0 = 3*m + 4*j - 285. Calculate the remainder when m is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*n - 14487 = -354*n + 128*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + -4 + -13 - 256\/(-56). What is the nearest to 0.7 in q, 7, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 451 + 0?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otooooooooooooooooo. Give prob of picking 3 o.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 968398437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -17*q + 329. Let k be t(17). Solve -i = 7*i - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1456 and 5330.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 286*p**3 + p**2 - p. Let z = 10 + -25. Let m be 6*(-10)\/z - 3. Let d be u(m). What is the highest common divisor of 26 and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*l - l + 3 = 0, -5*p - 2*l - 2 = 0. Let t be (-2)\/4*(5 + -5). Suppose 3*u + 2*u + 10 = t. Which is bigger: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 7*j**2 - 10. Let g(b) = -2*b**3 - 15*b**2 + 3*b + 21. Let l(x) = -5*d(x) - 3*g(x). What is l(-11)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, x: 3, k: 1, r: 1}. Give prob of picking 2 b, 1 x, and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*f + 1758*f**2 + 53*f - 4539*f**2.\nAnswer: -2781*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*u = 165*u - 40. Let n(x) = -1. Let j(v) = 4*v - 6. Give u*n(z) - j(z).\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*f + 48*f - 24*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - m**2 - 13*m + 46. Calculate the remainder when r(5) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -703, -502, -301, -100, 101?\n\"Answer: 201*o - 904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(84)\/((-1*sqrt(120))\/sqrt(10)) + -5 + (sqrt(252)*2 + 2 + sqrt(252))**2 + 1).\nAnswer: 426*sqrt(7) + 13608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47212 + 87032 = 3729*k for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Let s = 7 - u. Solve -6 = -3*p + s*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 33*z**2 - 2*z. Let g(n) = -3*n. Calculate g(f(k)).\nAnswer: -99*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 7. Suppose b - f - 1 = 0. Solve b*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*n = -16, 9*d = 7*d - 4*n - 20. Let f be ((-111)\/d + -1)*(-20)\/(-25). What is the greatest common divisor of 189 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1325698 is divided by 2581?\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 9a?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -0.06 (c) 3 (d) -0.2 (e) -338\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + -22322033?\nAnswer: -22321331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12758 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*g + 52, -2*s + 52 = -5*g + g. Let i be g\/39 + (-16)\/(-30). What is the biggest value in i, -1\/9, -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66881 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1885492.2 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 29*f + 149. Calculate k(-7).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*k + 14*k - 8*k + (-2*k - 1 + 1)*(-2 + 4 - 4) - k + 2*k - 2*k - 3*k + 2*k + 0*k + 5*k - 3*k - 3*k - 3*k + 0*k + 4*k + (6 + 8 - 3)*(0 + 0 + k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 2*y**5\/75 + 1259*y**4\/30 + 19824*y**3 + 222784*y**2\/15 - 9*y + 2. Determine l so that x(l) = 0.\nAnswer: -472, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5738289564 to the nearest integer?\nAnswer: 75751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/68860 and 51\/129895.\nAnswer: 5715380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157669, -157671, -157675, -157681?\nAnswer: -157689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1355 - 5.1355. Let w(s) = -s + 3. Let j be w(0). Suppose -3*p + 0 = -j. Which is the third biggest value? (a) o (b) -0.4 (c) -1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8867085*i - 517*i**3 + 518*i**3 + 8867085*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10418, -20500, -30582?\n\"Answer: -10082*s - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*8\/(-3). Suppose 2*h = q - 0*q - c, 7 = q - 5*h. Solve -f - z - 1 = 0, 4*f - 2*z + 2 = -q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4783575 nanometers in centimeters?\nAnswer: 0.00000004783575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -1, -7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 91*k**3 + 15*k**2 + 3*k - 1213. Let o(f) = -638*f**3 - 110*f**2 - 22*f + 8492. Let p(y) = 3*o(y) + 22*z(y). Find the first derivative of p(r) wrt r.\nAnswer: 264*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74\/3 + 4\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1949\/50 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130069268 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14 and -0.02418657?\nAnswer: 14.02418657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 9*a - 8. Let o be h(6). Let x = -2 - o. Calculate the highest common factor of 60 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7139000 to the nearest one hundred thousand.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13437 divided by 3.\nAnswer: 4479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-450)\/(-50))\/(2\/34*27\/(-9)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12539 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106.679 micrometers to kilometers.\nAnswer: 0.000000106679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 23*a - 1536 = -4*l, -1 = l. Calculate the greatest common divisor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + p - 2. Let j be 0*(-5 - 19\/(-4)). Let t(k) = -k**3 + k**2 + k - 3. Let x be t(j). Let u(r) = -r - 1. What is x*u(s) - q(s)?\nAnswer: -s**2 + 2*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*p - p - 11, -2 = -2*o + 3*p. Let d(y) = y**3 - 9*y**2 + 9*y + 10. Let r be d(o). Let x = -61 - r. Round x to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 221512.53 months?\nAnswer: 18.4593775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (50\/100*(0 - 29))\/((-2)\/1888).\nAnswer: 2, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255455399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 134 - 860. Let w = d - 714\/5. Put 1, -2, 6, w in increasing order.\nAnswer: -2, w, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2144767.\nAnswer: 97, 22111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -99*n. Let d(r) = 18*r. Let o(b) = -27*d(b) - 5*v(b). Let z(h) = 2*h. Determine o(z(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -3. Determine w, given that -12\/7*w**3 - 2\/7*w**z - 2\/7*w + 0 - 8\/7*w**4 - 8\/7*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0 (b) 1 (c) 144 (d) -0.1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 8*i**2 - 2*i + 5. Does 38 divide y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 2951869.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/371 and -16\/265.\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 0.19, 1\/2, 3, 0.2, 0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 785621 = -0*d + 10*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:31 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 56*t + 3. Determine l(3).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 461, 1.2, -8, 7, -3, 0.05 in ascending order.\nAnswer: -8, -3, 0.05, 1.2, 7, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 460 = -1071*p + 1174*p - 1846 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - (-29 - (116 + -88)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1632*f - 29463. What is p(-18)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from dooxoddxde?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 72. Let h = 43 + n. Let y(b) = -b**3 - 2*b**2 - 2*b. Let s(c) = -3*c**3 - 7*c**2 - 7*c. Give h*y(o) - 4*s(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 21*n - 10. Let g be c(21). Let v(p) = p**3 + 0*p - 1 - p + 2*p. Let w(m) = 0*m - 6*m**3 + 3*m + m**2 + 5 - 9*m. What is g*v(k) - 2*w(k)?\nAnswer: 2*k**3 - 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7885402951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*3*(3 - 4). Suppose 13 = -o*a + 103. What is the greatest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295.293670123 take away -3?\nAnswer: 3298.293670123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172 or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1067*n + 1067*n + 19*n**2)*(13 - 4 + 5) + (-n + 2*n - 2*n)*(3*n + 2 - 2).\nAnswer: 263*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16307, -64389, -144537, -256751?\n\"Answer: -16033*a**2 + 17*a - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 174.38363 and -17.7?\nAnswer: 192.08363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*m + 40*m + 38*m + 36*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1883.79+-30044\nAnswer: -28160.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 138942 = 4*i - 2*i, -3*c = -6. Suppose i = 5*a - 7033. What is a rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-3)*(-28917)\/(-13770).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -158815, -317633, -476451, -635269?\n\"Answer: -158818*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 377?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -41?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 276356?\nAnswer: -5\/276356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19320 and 825240.\nAnswer: 5776680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 bigger than 564\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2141.3 or 0.1?\nAnswer: 2141.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 373 + -715. Let k = 673 + x. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjhhhssjshssssshssh. What is prob of sequence jhjh?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 200*n**2 - 2205*n - 684. Determine c(-110).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 31213?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 375, 566, 937, 1548, 2459, 3730, 5421?\nAnswer: 7592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 12) in base 3?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from elllllelllllee.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*d + 61*d + 4*d**2 - 32*d.\nAnswer: 4*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 0.05, 9667, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67877\/14 + 4855. Calculate the common denominator of 117\/100 and i.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**3 - 14*a**2 - 8*a + 25. Let t(n) = 3*n**3 + 7*n**2 + 3*n - 12. Let y(k) = 2*j(k) + 5*t(k). Determine y(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -5. Let a(r) be the first derivative of r**4\/4 - r**3 + 9*r**2\/2 - 4*r - 57. Calculate the lowest common multiple of a(2) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(30))\/sqrt(10))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 + 2.16. Sort 0.076, -0.5, 2\/13, v in descending order.\nAnswer: v, 2\/13, 0.076, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.03 (b) -9 (c) -2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -35.\nAnswer: -46\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40180023 rounded to two decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 130 + -70. What is the greatest common factor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*p**2 - 272*p**2 - 2494*p**2 - 2*p**3.\nAnswer: -2*p**3 - 3037*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 2*p - 9. Let k be f(0). Let t(o) = -o**3 - 5*o**2 + 3*o + 5. Let m be t(-5). Is k less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*j + 218, 5*j = 5*t + 115 + 240. What is the greatest common divisor of 513 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 - 884*t**4 + 440*t**4 + 442*t**4 + 2 - 2*t to k*t**4 + f*t**2 + j*t + n*t**3 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 205*s + 4185. Determine u(23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4494\/983 - 2\/6881. Solve -40\/7*b - 24\/7*b**2 - 10\/7*b**4 + 38\/7*b**3 + i = 0.\nAnswer: -1, 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + (-29 + 40 - 59)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 69 = -c, -c = n + 4*c - 7. Suppose 5*h - 170 = 3*o, -3*o = -3*h - 4*o + 88. What is the remainder when h is divided by ((-1)\/(-2))\/1*n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 4753850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 77. What is the highest common divisor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -66 - 1\/3*w**3 + 0*w**2 + 0*w. Let t(m) = -3*m**2 + 60*m. Determine t(i(k)).\nAnswer: -3*k**4 - 60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -3*x + 0 - 2\/15*x**4 - 2\/5*x**2 + 3\/5*x**3. Factor r(t).\nAnswer: -2*(t - 2)*(4*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*y + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10 + 2*c**2 + 10. Let w(z) be the second derivative of 76*z**3\/3 - 625*z. What is w(r(n))?\nAnswer: 304*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 10. What is the closest to 1\/2 in 2, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/564*12)\/((-24)\/(-14) - (-172)\/602).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-200)\/52 + 4 - 5456\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 236170 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 990.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -786 + 714 = 18*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 t when three letters picked without replacement from kzaggssgstz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 4*d - 6. Let j = 4 + 2. What are the prime factors of h(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-294))\/(12\/144)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (36\/(-64))\/(3\/(-4)). What is the nearest to 2 in b, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -17*b**4\/24 + 190*b**3\/3 + 387*b**2. Differentiate a(l) wrt l.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -7.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 4:50 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, -2, -1 in decreasing order.\nAnswer: -1, -2, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 w when three letters picked without replacement from wwrrwwrwww?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 165663, -21, -1\/7, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/20 + c**4\/3 + c**3\/3 - c**2\/2 - 17*c. Let x(o) = o + 3. Let n be x(-6). Give q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56320 and 1672?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o + 2. Is o - 4\/(4\/(-21)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1037, -1034, -1031?\nAnswer: -1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*g + 3 = 0, 2*v - g = g + 6. Suppose -v*w + 7 + 3 = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127370147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 344 = -b - 347, -2*n + 8 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189065684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2)\/r)**(-34)\/(r\/r**(-2))**(-22) assuming r is positive.\nAnswer: r**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 8*g = 89 + 175. Which is greater: g or -230\/21?\nAnswer: -230\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -24. Let y = -0.1 - 0.4. Which is the third smallest value? (a) 2 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 644*j + 94203. What is y(-150)?\nAnswer: -2397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442623557 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/((j\/((j**(1\/2)*j)\/j))\/j))\/j)\/j*((j*j**6)\/j)\/j)**49 assuming j is positive.\nAnswer: j**(539\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/45 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -20*b - 20. Let x be w(-1). Suppose -o - 1197 = t, -2*o - 2402 = 4*t - x*t. What is o rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 + l**2 + 7*l - 3. Let v = -11 - -13. Let o(w) be the third derivative of -w**6\/120 - w**4\/12 + w**3\/6 + 3237*w**2. Calculate v*j(c) + 7*o(c).\nAnswer: c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -13151\/14671?\nAnswer: -13151\/14671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -107384300 rounded to the nearest 1000000?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-20) - 21\/(-4). Let w(n) = -n**3 + 5*n**2 + 6*n - 3. List the prime factors of w(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*s = -94, 4*w - 5*s - 97 = -0*w. Let p be 46 - (-4 - (2 - 3)). Let v = p - w. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835703614?\nAnswer: 2, 29, 14408683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l + 5*x - 13, 0 = l - 2*x. Solve -2*m + 6 = -l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -1.4227?\nAnswer: -3.5773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2. Let g(m) = -18472*m**2 - 150*m. Let x(d) = -12315*d**2 - 105*d. Let b(v) = 7*g(v) - 10*x(v). Calculate b(s(q)).\nAnswer: -24616*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/5)\/((-12)\/(-40)). Suppose 3*u = 2*o + 2*u - 16, -5*u = 4*o - n. Let t be 3\/o + (-34)\/(-4). What is the highest common factor of 72 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3012032 - -13?\nAnswer: -3012014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.17 (b) -8\/9 (c) 1\/4 (d) -3\/5 (e) 420\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*g + 558 + 234 = 0, 4*g = 5*l - 804. What is the highest common factor of 5694 and l?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10854 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4*k - 9)*(2 + 0 - 5) + 55*k - 54*k + 7 - 43.\nAnswer: 13*k - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 12*p**2 + 8*p - 2. Let b(c) be the third derivative of -c**6\/120 + c**3\/6 + 5*c**2. Let k(h) = 2*b(h) + o(h). Is 15 a factor of k(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1755*m + 6749. What is r(-4)?\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 69. Suppose -5*j + 10 + 3 = 3*y, j + 2 = 4*y. Suppose 0 = -3*a + 2*w + 68, -3*w - j = 10. Solve 0 = -l + 2*q + 3*q - m, 4*q = a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5616 = 5*a + 5611, 3*u = 5*a - 37 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 80*k + k**2 - 80*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19978700 and 19300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -299, -304, -309, -314?\n\"Answer: -5*p - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16462109 = 3*p - 4358035, -5*p + 3*u + 34700229 = 0. Let i = -25940044 + p. Round i to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285.833*0.238\nAnswer: 68.028254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 4. Give v(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25879*h**4*i**2 + 50*h**3*i**2 - 3*h**2*i**2 + 765216*h*i**2 wrt h.\nAnswer: 621096*h*i**2 + 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(833)*3 - sqrt(833)) + sqrt(833))**2.\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-25)\/38950*-38)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - y - 3. Let w(j) = -34*j**3 - 78*j**2 + 4*j + 13. Calculate -4*o(k) - w(k).\nAnswer: 34*k**3 + 74*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 205 - 208. Let f be -1*(24\/36)\/(2\/l). Let h(t) = 3*t**3 + t**2 - t + 1. Give h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/42 (b) -1 (c) -4\/5 (d) 145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/623898 and 91\/14916.\nAnswer: 141000948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -12023678?\nAnswer: -12023678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1020, 55, 2, 4.\nAnswer: -1020, 2, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 11 = 39. Let m(d) = -2*d - 6. Calculate the lowest common multiple of m(u) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*a)*(-1 + 3 - 3) + 11*a + 6*a - 61 + 9.\nAnswer: 15*a - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32 - -51 - (5 + (8 - 0) - 3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.12359019\nAnswer: 0.012359019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - -0.02. Is 2 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2436268\/597 or -4082?\nAnswer: -2436268\/597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/11 (b) -1\/2 (c) 2\/9 (d) -826\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 11:48 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -354*n - 302*n + 2947 + 3*n**4 + 3394 - 5*n**4 wrt n?\nAnswer: -8*n**3 - 656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0529767685 to three dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 13*n - 814. List the prime factors of n.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7c7 (base 15) in base 8?\nAnswer: -3342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(13)*2)**2 + 3.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 6:05 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*h - 30*h = 100320. What is the highest common divisor of h and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - 27. Let a = -66 - j. Let i be (-17)\/(-8) - (-15)\/(-6). What is the second smallest value in 1.2, a, i?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 20 (c) 6 (d) 0.2 (e) -2068\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -p - 22, -10 = -p - 5*r + 18. Solve 3*l + 2*v - p = -11, 10 = 5*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from vvrvr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723625?\nAnswer: 5, 13789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*o - 3653 = 0, 5*q + 5*o = q + 4886. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/4 - 17451*r\/2 = 0. Calculate r.\nAnswer: 0, 11634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((24 - 10464\/168) + 28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 - 3*b + 1029 + 6*b**2 - 116*b**3 - 2058 + 1025 - b**2 in the form d*b + h*b**2 + a + k*b**3 and give k.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/46578 and -101\/249533872?\nAnswer: 748601616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 630015.5 years?\nAnswer: 7560186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/4*(-6)\/9. Let w = -1374 - -15116\/11. Let y = -0.2 - 0.3. Which is the nearest to 1? (a) y (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -328, -355, -396, -445, -496, -543?\n\"Answer: f**3 - 13*f**2 + 5*f - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 10*o**2 + 26. What is the remainder when k(10) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 - 0 - -11) + 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.084027 - 3?\nAnswer: 4.084027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (-1*sqrt(560) - sqrt(35))) + sqrt(35) - sqrt(35))\/((1*sqrt(49) + sqrt(49))\/sqrt(7)) - ((sqrt(315)\/sqrt(7))\/sqrt(9) - (sqrt(720) + 3)).\nAnswer: 3 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -15 + 2 + 1 + 3 + (-1279 - -1282).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 364 - 371. Let b(z) be the first derivative of -5*z**3 + 7*z**2\/2 - 2*z - 1. Let u(j) = 7*j**2 - 3*j + 1. What is t*u(a) - 3*b(a)?\nAnswer: -4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*q + 760 = q, 2*d - 5*q - 395 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-2 - -3 - 4 - -3). Let y(s) = -s - 5. Let z(o) = o - 1. Let l(t) = y(t) - 5*z(t). Calculate l(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 40 = 2*d, -3*d + 0*c + 5*c = -104. Solve 0 = -24*b + d*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/6*(-2)\/3*(-168)\/(-784)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(36) - -3*sqrt(36)) + sqrt(77)\/(sqrt(7) + sqrt(35)\/(3*sqrt(5))).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 1339*l\/3 - 29942\/3.\nAnswer: (l - 22)*(l + 1361)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 11596 = -11626. Solve 2*q = w*z - 15, -2*q + 9 = 3*z + q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000404346 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -829088 greater than -829089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 500915681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 318397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 403171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b, -4*b = -c - b + 16. Suppose -6 = -3*t - c*h + 28, -h = -3*t + 14. Solve 0 = -f + t - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9138.1 to the nearest ten.\nAnswer: -9140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145.7 - -146. Sort m, 1\/15, -2 in decreasing order.\nAnswer: m, 1\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 8 = -0. Let l = -2 - d. Let a = -5 + 7. What is the greatest common factor of l and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -25 (b) 2\/7 (c) -3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2029691667 and 0.6.\nAnswer: -2029691666.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -28.475 < -3\/24611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -354a44a9 - 4?\nAnswer: -354a44b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011100110010001011 (base 2) in base 5?\nAnswer: -1031340201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3314 * 1\nAnswer: 3314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -111\/166 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.4, 145, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18434, 18476, 18544, 18638?\n\"Answer: 13*d**2 + 3*d + 18418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 102\/(-27))\/((-6)\/1782*3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmnlegeh. Give prob of picking 1 e and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -67752652, -271010597, -609773838, -1084042375?\n\"Answer: -67752648*q**2 - q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -618\/1277549 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 583334 and 218473?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.061 minus 0.92281?\nAnswer: -24.98381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 4. Let y(x) = -26*x - 3898 + 1850 + 2046. Calculate c(y(l)).\nAnswer: 26*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42347432911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1103143234 (base 5) to base 12.\nAnswer: 976b86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 + -23 + 52 + -22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60*j - 44*j - 37*j)*(-2 + 3 + 0) to l*j + d and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 266488749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(88)\/sqrt(8) + 4 + -1*-3*(sqrt(220)\/sqrt(5) + sqrt(44))))**2 + 3.\nAnswer: 104*sqrt(11) + 1878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 + 1.7. Put v, -0.5, 2\/3 in increasing order.\nAnswer: -0.5, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -8041*o - 81392. Determine u(-10).\nAnswer: -982","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1643 - 1940 = -27*r. Solve 2*l + r = -4*v + 1, -v = -4*l - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by -2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 623923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 26 = -6. Suppose 4*g = 141 + 247. What is the remainder when g is divided by -2*1 + (y - -32)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 13*q + 68. What are the prime factors of r(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 3, m: 1, z: 5, q: 2, p: 1}. Give prob of picking 1 p and 1 m.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -194*i**2 - 110*i**2 - 191*i**2 + 494*i**2 + 44*i + 16*i - 106. Calculate b(58).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1640 - -9917\/6. Let m = 14 - q. What is the common denominator of m and (-12)\/8 - 47\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*s. Suppose 3*u - u - 2 = s, 2*l - 5 = -u. Suppose 9 + 21 = l*o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103950287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u - 4. Let l be q(-3). Let s(m) = -3*m - 6 + 11*m**2 - 5*m**2 + m + 0*m**l. What is the remainder when s(-3) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 3*v - 7. What is d(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/5*1\/36*45.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 5*x - 18, 3*x + 2*x = -20. Which is smaller: c or 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -0, -3*d = 5*b - 22. What is the first derivative of h - b*h - 3 - h + 2 wrt h?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.7868 - -82782034?\nAnswer: 82782069.7868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/6 - -2)\/(5\/15). Let f = -2.9 - -3. Let v = -2935 + 2935.1. Which is the closest to f? (a) v (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -7. Let d(y) = -5*y**2 + y - 4. Let j(v) = 14*v**2 - 3*v + 11. Let o(t) = -11*d(t) - 4*j(t). Let f(u) = -4*u**2 + 6*u. Calculate q*f(g) + 5*o(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 2*y + 67, 3*n + 2*y = 8*n - 63. Suppose -5*s - 15 + 70 = 0. Let l = n - s. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100913, -107369, -113827, -120287, -126749, -133213?\nAnswer: -139679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 38. Sort g, 3, 19 in descending order.\nAnswer: 19, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58163866 + -1328\nAnswer: -58165194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + s**2 - 3*s**2 + (3*s + 3*s - 4*s)*(-3 + 3 - 2*s) + (-2*s**2 - 1 + 1)*(-3 + 2 - 1).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3\/3 + 3*j**2 - 3*j + 13. Determine y(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.57573 to 2 decimal places.\nAnswer: -5.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 20\/8 + -4. Suppose 4 = 11*j + 26. Which is the nearest to 3? (a) 0 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -1)\/((-96)\/1408). What is the greatest common factor of h and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 3*g. Let k be u(-4). What is the derivative of 2*h + 20*h**k + 11 - 14*h**4 - 2*h wrt h?\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoi when three letters picked without replacement from {o: 1, v: 3, q: 7, y: 4, f: 2, i: 1}?\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 3*w**2 + 2*w + 1. Suppose 9*g = 11*g - 2*r + 8, -5*g + 2*r = 14. Determine v(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449908056?\nAnswer: 2, 3, 13, 229, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 21*s - 45. Determine u(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = j + 1, 0 = 5*k - 3*j. Let h(p) = -2*p - 504*p**k - 5*p**2 + p - 15 + 500*p**3. Is h(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*h = -65, 26*o + 21*o - 2*h + 12 = 43*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32420629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, 5218, -1, -5 in decreasing order.\nAnswer: 5218, 2, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwuuwwuwwwwuuwuuuwu. Give prob of picking 2 w.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 7. Suppose q*d - 7*d = -50. Let o(b) = -222*b + 7. Is o(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3704.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.00378, 78\/1903, -1\/7?\nAnswer: -0.00378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1033 or -1034?\nAnswer: -1034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16607\/10 + 1663. Find the common denominator of g and ((-1)\/(-3 - -8))\/(4\/(-186)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184 and 274.\nAnswer: 25208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1464\/5 + -294. Let n = -1 + 1. What is the nearest to n in 2, c, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -164*h - 6. Let m be c(-6). Let f = 2242 - m. Let z = -707 + f. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7709 + -4840. Is o a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666327?\nAnswer: 3, 222109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 947624 (b) -2\/97 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/13 or 0.140855?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 40496 = -0*x - 5*x, 67540 = 5*y + x. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -423 - -2114\/5. Let h = 0 - 0.1. Which is greater: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 10652315.\nAnswer: 3195694.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/9 - (-7)\/((-21)\/(-158)). Suppose 5*x - 5*h - 111 = -h, -u = -3*x - h. Let o = x + 992. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3694695 divided by -5\nAnswer: 738939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*x + 4*x - 10*x)*(1 - 1 - x) to the form n*x**2 + s*x + b and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b. Let d(c) = -7*c. Let y(l) = 5*d(l) + 4*z(l). Let m(a) = 11*a - a**2 - 2*a**2 - 11*a. Calculate m(y(v)).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370508.\nAnswer: 2, 92627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*v = -23*v - 2*v + 104*v + 1287 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -8*j**3\/3 - 2*j**2 - 2*j - 414. Let d(t) = t**2 + t. Determine -3*d(h) - x(h).\nAnswer: 5*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 11*p - 10*p - 8*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6988 divide 1815696374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 4 + (-26)\/(-2). Suppose v = -v - i. Let x = 12 + v. Calculate the remainder when 7 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492\/3850 - (-8)\/(-44) - 400\/(-5000)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-41\/4)\/b)\/b*b**3*b*(b**9\/b*b)\/b**(-2\/3) assuming b is positive.\nAnswer: b**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 45*y + 4 - 1 + y**2 + 42*y - 89*y. Suppose 2*o - 20 = -2*o. Give c(o).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 19 = 2*o + 23, 5*s = 4*o - 1. Calculate the smallest common multiple of (-6)\/4*(-124)\/s + 2 and 1.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 62464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/32)\/3)\/(255\/84 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2562 and 282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2972*k - 5941*k + 2982*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 44 = -0*r + 4*r, -98 = 4*n - 2*r. Let a be 6\/4*16\/n. Let d be (-5)\/(a*(0 - -1)). Solve 2*b + 2*b = d*k - 24, k - 3 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4489406 is divided by 158?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32685 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 r be 4\/10 + (-118)\/(-5). Suppose r*l = 661 + 275. What is the remainder when 272 is divided by l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/3 (c) -2\/19 (d) 35 (e) 200\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 411, 0, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 1. Let j(h) = -2*h - 54. Determine j(w) - 3*x(w).\nAnswer: 4*w - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -12*j + 840. Suppose -j = -12*c - 2*c. Solve c*y - 4*y - 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1032 + -603. Suppose -4*z + 371 = -g. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/11 - (-35)\/11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6622*0.4.\nAnswer: -2648.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24719 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -82.8 times -0.085\nAnswer: 7.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -780, -767, -714, -603, -416, -135, 258, 781?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 21888.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/18*(15\/9 - -40*2461\/(-69000))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**2 - 2*p - 1. Let s = -134 - -124. Let m be -3 + (s\/(-14))\/(3\/21). Let z(c) = c**2 + c + 1. Calculate m*z(j) + k(j).\nAnswer: -4*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5229*z + 5219*z = -80. Calculate the highest common factor of z and 800.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7 (b) -0.4 (c) -2\/19 (d) 1\/4 (e) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11)\/o)\/o)**(-22\/9) assuming o is positive.\nAnswer: o**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46869666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r = -120. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/260 and -121\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + -20 + (-4 - -9) + -5.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-8)\/12 - 2. Let k = -2.5 - -0.5. Which is the smallest value? (a) -3\/2 (b) k (c) 4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 364761163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7024 = -2*j, 0 = -18*a + 21*a + 2*j - 5267. What is a rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -d + 2, 0 - 4 = d. Suppose -k*x + 16 = o - x, 16 = -4*x. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 29 = -r - 4*f, 5*r = -5*f - 70. Let t = -5 - r. Suppose 0 = q - t*q + 102. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = f. Let o = 7 - 6. Let s(v) = -3*v - v + o + 0. Let y(q) = 3*q. Give f*s(a) + 3*y(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 17) + (-7 - (4 + -15)) + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 13*f**2 - 15*f - 17. What is l(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 12\/7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vueuveuuevvvvvvvvv. Give prob of picking 2 v.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0 - 1\/60*z**5 + 1\/4*z**4 + 0*z - 5*z**2 + 0*z**3. Determine d(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -216*j**5 + 862*j**4 - 1288*j**3 + 852*j**2 - 208*j - 2.\nAnswer: -2*(j - 1)**4*(108*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 78. Solve -j - b*j = -9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, y: 2, z: 2, h: 2, j: 1}. What is prob of picking 1 h, 1 y, and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 11*y**2 - 21*y - 18. Let u be v(8). Let m be 20\/6 + u\/(-6). Sort -0.03, -4, m in descending order.\nAnswer: m, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 868 - 865. Suppose -d*k + 9 = 0, 2*z - 5*z + k + 15 = 0. Factor 72\/5*x**2 + z*x**3 + 3\/5*x**4 - 15 - 6*x.\nAnswer: 3*(x - 1)*(x + 1)*(x + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2094 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 128*d - 6006. Give m(47).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (98\/10290*-175)\/((-3)\/153)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 - 19*j**2 + 7*j + 2. Let r(u) = 4*u**3 + 22*u**2 - 8*u - 3. Let q(o) = 4*r(o) + 5*t(o). What is q(6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1631 = -284*g - 641 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 5 + 9. Suppose j*i = -3*k + 89 + 25, 0 = -3*k - 5*i + 105. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 8*r**2 + 8*r + 7. Let l be i(-7). Suppose 4*g - 5*f + l = 12, 3*g + 2*f - 9 = 0. Solve -3*z + 5*x + 20 = 0, -1 = -z + g*x + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)**(-47)\/(h*h*h*(((h**(-4)\/h)\/h)\/h)\/h*h*h*h\/(h**1*h)))\/((h**7\/h**0)\/(h*(h\/(h*(h*h*h*h**1)\/h)*h)\/h)**(-40)) assuming h is positive.\nAnswer: h**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 12.9, -0.8, 2\/39, -0.5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -192, -213, -254, -321, -420, -557?\n\"Answer: -p**3 - 4*p**2 - 2*p - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40609, 81219, 121829?\nAnswer: 162439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and 102751.\nAnswer: 3699036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2. Let t(q) = -8*q**2 + q + 2. Calculate -6*r(h) - t(h).\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 34*q**2 - 31*q - 32. Give v(33).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -990, -3, -16, 3, 0 in increasing order.\nAnswer: -990, -16, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*a**2 - a + 2*a**2 + a as f*a + h*a**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1, y: 4, u: 1}. What is prob of sequence tu?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2668, -10662, -23988, -42646, -66636?\n\"Answer: -2666*u**2 + 4*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 220 = -5*c, 2*c - 114 = -3*w - c. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(8) + (-3 + sqrt(8))**2 + 5) - ((4*(sqrt(2) + -1*sqrt(242)))**2 + -1)).\nAnswer: -3289 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4*p - 39, 3*p - 5*p = 4*u - 86. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-895 + 5163 - 2454)*(-1 + 1 - 2)*(-3*k - 2*k + 3*k) to the form w + g*k and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 17500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 47 - 400. Let k = q - -639. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*c**3 - 681*c**3 + 229*c**3 + 226*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 3*l**2 + l + 2. Let d be y(5). Let b = -2 - -4. Suppose -3*x - d = -i + b*x, 0 = -3*x - 12. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79 - -121. Let a = -5 + 7. Suppose -a*n + 3*g = -57, -2*n + 16 = 2*g - 16. What is the greatest common factor of v and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6758.888 millimeters?\nAnswer: 6758888000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 3*y + 3. Suppose 5*n + 36 = -4*o, -3*n + o + 8 = -4*n. Is g(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(sqrt(192) + -2)*-1)**2.\nAnswer: -288*sqrt(3) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -278840 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596041665 divided by -5.\nAnswer: -119208333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*x + 0*x**3 - 2 + 17*x**3 - 71*x - 281*x**3 wrt x?\nAnswer: -1584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42147 and 6244?\nAnswer: 168588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*l - 24 = 0, -11*d + 30 = -23*d - 5*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + z**2 + 4*z - 5. Suppose 7*i = 2*i. Let k = -4 - i. Let t = 7 + k. Let p(a) = a**3 - a**2 - 2*a + 3. What is t*j(u) + 5*p(u)?\nAnswer: 2*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29138 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/9 + 5\/9. Is -1 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848532 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 3747334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**4 + 21*v**2 + 18*v**2 - 19*v**2 + 3*v - 21*v**2 + 42*v**3 in the form q*v**4 + j*v**3 + d*v**2 + g + p*v and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.16 or 10842473?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 19*j**2 - 35*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 144*j**3 - 158 wrt j?\nAnswer: 432*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9236960 and -0.3.\nAnswer: -9236960.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72492*g + 72507*g + 990 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 235 and -0.1.\nAnswer: -23.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201 and 37?\nAnswer: 7437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**2)\/v)*v**1\/v)**(1\/14)*v\/v**(-6\/5)*v\/((v\/v**(2\/5))\/v)*v*(v*v*v*v**(-1))**(-11\/2) assuming v is positive.\nAnswer: v**(-433\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59939465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 110. Let q(v) = v**3 - 19*v**2 - 16*v + 16. Is 32 a factor of q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669342927.\nAnswer: 3, 11, 20283119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.1 rounded to the nearest integer?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -199852*h**5 + 1142*h**3 + 381702*h + 271.\nAnswer: -3997040*h**3 + 6852*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 + 4*d**3 - 5*d**3 + 0 + 0 - d**3 + (29*d**2 + 7*d**3 - 29*d**2)*(4 - 2 - 1).\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73126649 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -5) + 4 + (1 - (-11 - -8)). Solve 0 = -m*c + 97 - 16 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -972 divided by 108?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -183.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2417891.\nAnswer: 7, 345413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 69 - 66 - 7*c. Let k(z) be the first derivative of 17*z**2\/2 - 13*z - 1. Let t = 18 - 44. Give t*m(o) - 6*k(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 13*r**4\/2 - 4*r**3\/3 - r**2\/2 + 6*r - 643. Let k = -1 - -4. Is t(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 15*z - 48. Suppose -z = 2*k - 5*k - y, -k = -y. Solve -27 = 5*n - 3*h + 5, -k*h = -8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1136, -1115, -1082, -1037, -980, -911, -830?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2. Let o(k) = 419*k**2 - 20*k - 9. Let x(p) = -199*p**2 + 9*p + 4. Let s(y) = -4*o(y) - 9*x(y). Determine s(j(z)).\nAnswer: 115*z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.011 - -0.111. Which is the third smallest value? (a) 0 (b) z (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*s + 7*s + 8, -n - 2*s = -4. Suppose o = -n*w + 12, -o - 10 = -3*w - 2*o. What is the units digit of (6\/3 + 6)\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 13) in base 14?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 - 4*b**4 + 7*b**4 + 10*b**3 + b**2 in the form r + g*b**3 + i*b**4 + k*b**2 + j*b and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*m + 125102, 0 = -4*m - 664*z + 659*z + 250208. What are the prime factors of m?\nAnswer: 3, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2477 > -2477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12469492 is divided by 217.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 7*q + 4. Suppose 4*a + u - 21 = 5, -a + 4*u - 2 = 0. Let z be w(a). Which is smaller: z or 3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/(27\/(-45))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmmmcmmemcc. Give prob of sequence ccce.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q**2 + 5*q**2 + 11*q + 10*q)*(2585*q**2 - 5177*q**2 + 2589*q**2 + 14*q) in the form m + o*q + j*q**2 + p*q**3 + d*q**4 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -7. Let j = 378.2 + -378. What is the nearest to j in 4, t, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66*i**2*x + 3*i**2 + 26*i*x - 6*x + 22028 wrt i?\nAnswer: 132*i*x + 6*i + 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 10*p - 14 + 5 + 7*p - p**2 - 16*p. Calculate a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k + 57. Let j be s(-11). Let n(y) = y + 7. Let q be n(-5). Suppose -4*t = -2*w - 12, 2*t - 8 = -4*w - q. Solve -v - t - j = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/6*24*(-24)\/(-96).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -3\/2*b**2 + 0 + 3*b + 3\/4*b**4 + 0*b**3. Find the first derivative of s(k) wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -98 - 996?\nAnswer: -a3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 801089 and 12015.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 9*g - 2*q - 258, 3*g = 5*q + 389. What is the remainder when g is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3 - (-10)\/6). Suppose 4*j - 45 = -z*a + 334, -j - 4*a + 98 = 0. Let x = j - -21. List the prime factors of x.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/7)*a*(a\/a**(-2\/11))\/a)\/(a**(2\/13)*a**(-2\/15)))**(2\/53))**41 assuming a is positive.\nAnswer: a**(1781614\/795795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 101. What is the second smallest value in -2, -135, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-4 + (-14 - -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51.82*118.\nAnswer: 6114.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 239248, 478507, 717744, 956947, 1196104, 1435203, 1674232, 1913179?\n\"Answer: -2*w**3 + w**2 + 239270*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 253 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:16 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = n + 2*n. Let o = 4759 + -76117\/16. Find the common denominator of (9\/(-6))\/((-2)\/n) and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g**2 - 3*g**2 + 0*g**2.\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6571321 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2 + 5123400*m + 3281153445000 = 0.\nAnswer: -1280850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w - 7. Give t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1168*s + 2325. Give k(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.4, 1\/460, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 90664.8 kilometers?\nAnswer: 90664800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3 = 0, f + 1236*w - 615*w = 618*w + 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010 + 0?\nAnswer: -10110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 436\/(-545) - 234\/(-255). What is the biggest value in 563, 5, q?\nAnswer: 563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -36. Let j(q) = 2 + 2 + 0 + 19*q - 5. Determine j(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -63, -86, -109, -132?\n\"Answer: -23*v - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 611782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1762 or -569442\/323?\nAnswer: -1762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(4 - 1 - u + 36*u)*(-151 - 10*u**2 + 151).\nAnswer: -700*u**3 - 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45974.57 and -2.\nAnswer: 91949.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111653.\nAnswer: 111653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2875 is divided by 120?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 282, 0 in increasing order.\nAnswer: 0, 2, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013589 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 2*x**2 + 112*x - 3. Let h(s) = -s**3 - s**2 - s + 1. Give -3*h(m) + z(m).\nAnswer: 2*m**3 + m**2 + 115*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-201)\/12)\/((-3)\/12). Calculate the highest common divisor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-24)\/(c*c**5) assuming c is positive.\nAnswer: c**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**11*y)\/(y*y**12))\/((y**(-2\/3)*y)\/(y*(y\/y**(3\/2))\/y)) assuming y is positive.\nAnswer: y**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.3, 0.139, 3\/4, -0.5 in increasing order.\nAnswer: -0.5, -0.3, 0, 0.139, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(4 - 52\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from {e: 2, c: 1, n: 1, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*q**2 - 15*q + 55*q - 44*q - 1225*q**2.\nAnswer: -1319*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 379936576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 184170 = -6*t. Suppose 574*n - 569*n = t. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 114*d**2 + 4*d + 247. Calculate the remainder when 1861 is divided by k(-57).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7987576 divided by -7987576?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 377?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13156 and 8140?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 3, 12, 1\/4, -2\/141, -29, -0.19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*3\/((-30)\/148). Let o = 74 + c. Suppose 13 = 4*d + 4*h - 3, -d = 2*h - 4. Solve 2*s - d*l = -o*s + 10, -4*s = 2*l + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let d(v) be the first derivative of 0*v - 2 - 67\/2*v**2. Give d(k(n)).\nAnswer: 134*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j**3*w + 7*j**3 - 6*j**2 + 46*w wrt w?\nAnswer: -3*j**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 2*v - 13 - 2*v + 2*v.\nAnswer: -2*v - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oots when four letters picked without replacement from sjojjettetjojtott?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 21*u**2 + 14*u + 5. Let s(f) = -f**2 + f. Let b(o) = -m(o) - 6*s(o). Solve b(t) = 0 for t.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/100)\/(6\/10)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -311750282 divided by -311750282?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 9*v + 17. Calculate the remainder when u(-11) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.47228, -4 in ascending order.\nAnswer: -5, -4, -0.47228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 550 = -2*n, 0*n - 123 = r - 3*n. Let v = r + 166. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 15\/2*v**4 - 6\/5*v**5 + 4*v**3 - 6*v - 5\/2*v**6 + 10 - 15\/2*v**2. Determine u, given that n(u) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**4 - 103792*y**3 - 693535888*y**2 - 262557225216*y - 25596476015616 = 0.\nAnswer: -12776, -198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3581 + 3572.51. Round t to one decimal place.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 divided by 96?\nAnswer: 617\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5411 + -2951. Does 82 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112200 (base 5) in base 15?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - r - 1)*(6*r**2 - 2*r**2 - 3*r**2) + (3 + 3*r**2 - 10*r**2 - 1)*(-2*r + 3 - 3).\nAnswer: 13*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -44 - 7\/2*f**3 - 69*f**2 + 174*f = 0. What is f?\nAnswer: -22, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 22, 44, 90, 166, 278, 432?\n\"Answer: w**3 + 3*w**2 - 12*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5\/7 - 15*b**4 + 108*b**3\/7.\nAnswer: -3*b**3*(b - 1)*(b + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 54916711*3\nAnswer: 164750133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -19*c + 1. Let q be v(-1). Let w be (0 - -1) + 5 + -4. Suppose 60 = w*k + q. Find the common denominator of -12\/11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**4 - 1459*q**2 - 9*q + 212265 wrt q?\nAnswer: -4*q**3 - 2918*q - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 198.194 - 9.874. Let z = c + -187.24939. Let k = 1.07 - z. What is k rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**4\/12 - f**3\/6 + 127*f**2\/2 + 13*f + 13. Let y(s) be the first derivative of k(s). Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99360*q**2 - 24*q**5 - 98983*q**2 - 83*q**5 + 8*q**5 wrt q.\nAnswer: -5940*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 3*z - 1. Let k be f(4). Let u = k + 2. Suppose 0*x = -u*x + 95. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*c - 2*c - 17, 3*c = 3. Suppose -2*k = k. Suppose 2*h = -2*h + 8. Solve -3*u + 21 = -k*n + b*n, -2*u = -2*n + h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -1.2. Which is the second smallest value? (a) -1\/8 (b) w (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5937 - 23747\/4. What is the closest to 3\/7 in 0.1, -0.4, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/5 + 350*f**2 + 7024*f\/5 + 7032\/5 = 0 for f.\nAnswer: -2, 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3062502 = -11*u + 9*u. Let x = 1082251 + u. Round x to the nearest ten thousand.\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a centimeter in millimeters?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1 (c) 183 (d) -1.1 (e) 182.8 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*v**2 + 1636*v**2 + 353*v**2 - 435*v**2.\nAnswer: 2091*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(17) - sqrt(153)*-2)*2 - ((sqrt(6171) - sqrt(6171)*1) + sqrt(6171) + sqrt(6171))\/(sqrt(432)\/sqrt(9)))**2.\nAnswer: 17*sqrt(17) + 4917\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4 - 6. Let w = 8 + p. Is 2 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 190501*q**4 - 419*q**2 + 299945988.\nAnswer: 762004*q**3 - 838*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/4 - ((-101065064)\/(-32))\/(-53)?\nAnswer: 2, 5, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*v - 60, v - 6*v = -h - 12. Let x be 30\/(-40) - (-6)\/h. Solve 0 = z - x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14475896 is divided by 3662?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(2\/15)))**37 assuming n is positive.\nAnswer: n**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 14618895?\nAnswer: -1461889a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000024588053 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -680*p + 37281*p**2 + 2*p**4 - 37281*p**2 + 2 to the form d + j*p**2 + i*p**3 + u*p**4 + w*p and give w.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 50 = -d. Suppose y + d = 6*y. Solve q - 6*h = -h - 17, -3*h = y*q + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 38. Calculate the common denominator of -53\/8 and ((-2)\/l)\/((-9)\/(-1170)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, r: 3}. Give prob of picking 1 r and 3 v.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -21*l**3 + 294*l**2 + 205*l - 2847. What is x(14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + 3)*-1 + -4*(2 + -1*sqrt(11) + sqrt(11)).\nAnswer: -11*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13648 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:55 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g - 4*g)*(47*g - 47*g - 31*g**2) + 2*g**3 - 3 + 3.\nAnswer: 64*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*q - 5, 251*q - 255*q + 3*t - 3 = 0. Factor -18\/7*o**2 + 50\/7 + 30\/7*o + 2\/7*o**q.\nAnswer: 2*(o - 5)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -2768 + 2768. Is -5\/14 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -657.0454 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 559, 5491, 13715, 25231?\n\"Answer: 1646*h**2 - 6*h - 1081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5266 + -5269. Let p = -2 - -3. Suppose 5*c = -15 + 5. Put b, p, c, 4 in decreasing order.\nAnswer: 4, p, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5314 and -11.\nAnswer: 5303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5404424, 10808846, 16213264, 21617678, 27022088, 32426494?\nAnswer: 37830896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(68).\nAnswer: -8*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -4. Let l be (z - -1) + -1 + 3. Suppose l*q + 314 = 4*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 3*y + 102 = 0, 3*k + 100 - 216 = -52*y + 56*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781941?\nAnswer: 29, 95929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-15) + 704266\/96. Let a = i - 7340. Find the common denominator of a and (-1)\/2 + (-139)\/(-12).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 4\/3 (c) 1 (d) -0.0714\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5626801\/900 - 6252. Let f(w) be the third derivative of 0 - w**2 + 0*w - m*w**6 + 1\/180*w**4 + 0*w**5 + 0*w**3. Solve f(y) = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 6*q - 8*q + 0*q**2 - 12*q.\nAnswer: -6*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9012, 18000, 26988, 35976, 44964, 53952?\n\"Answer: 8988*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxdddxddxd. What is prob of picking 1 d and 1 x?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76411282.5s in weeks?\nAnswer: 126.34140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1086881\nAnswer: 434752.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 + l**2 - l + 1. Let k be h(2). Let s = 63 + k. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38476 = y + 2*y + 5*c, -5*y + 3*c + 64138 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:16 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**3 + 581*t**2 - 240*t + 17. Let n(d) = -2*d**3 - 193*d**2 + 85*d - 6. What is 6*i(x) + 17*n(x)?\nAnswer: 2*x**3 + 205*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 10*m**2 + 9*m - 10. Let o be (-100)\/125*(-5)\/2. Suppose 0 = h + t - 8, t + 39 - 20 = o*h. What is x(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-87)\/(-725))\/(6 - 9))\/((-6)\/140)\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 830 + -830. What is the closest to d in 3\/2, 0.05, 1, 1\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192) + sqrt(192) + -1)*1 + 0 + sqrt(192) + 1)**2 + 3 - (-6*sqrt(108)\/sqrt(6))\/((sqrt(66) - sqrt(66)*3)\/sqrt(11)).\nAnswer: -3*sqrt(3) + 3075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {p: 2, m: 1, o: 4}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 8*b**2 + 13*b + 9. Suppose 4*p - 42 = 5*y, -4*y - 2*p + 4*p - 30 = 0. Let x be d(y). Solve -i - 4*s = x, -3*i = -2*s - 2 - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:44 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t. Let u(c) = -2*c + 186. Calculate u(x(w)).\nAnswer: 8*w + 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1728 divided by -864.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9686.86547 rounded to the nearest ten?\nAnswer: -9690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hglhn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 6*u**2 - 6*u - 5. Let z be f(7). Suppose 5*q - 13 = -3*m, -2*m + 6 = z*q - 0*m. Is (1\/3)\/(q\/84) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5280342502 + 639\nAnswer: -5280341863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 868*h**2 + 1. Let w be b(1). Let g be w - -2*(-2)\/4. Suppose 5*q - g - 1387 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - w**2 - w. Let f(y) = -12*y**3 + 6*y**2 + 6*y. Calculate f(r) + 6*o(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-117 + 0) - 8\/(-2). Calculate the highest common divisor of a and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2) + -1 - -1. Suppose 2*o + 18 = -k*p, 3*p - o + 6*o = -37. Let i be 6\/p - 18\/(-4). Solve -7 = -5*f - 2*t + 23, -i*f + 22 = 2*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/3 + 88*k**4 - 7011*k**3 + 127854*k**2 + 2369628*k + 7984008 = 0. Calculate k.\nAnswer: -6, 54, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3)*2\/(-3)*-9)\/((-440)\/20)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9659449 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121929 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 25863822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/1 - (-2 + 4). Let s = -3287 + 3320. Calculate the greatest common factor of s and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.3 (b) 10 (c) 0 (d) -214 (e) 0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 249005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 10*p - 11*p)*(0 + 0 + 1) + 2*p - 2*p - 2*p - p + 2*p - 2*p + 3*p - 8*p + 3*p + (-5 + 2 + 4)*(-2 + p + 2) + p - 3 + 3 - 2*p + 3*p - 3*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 + 3\/(72\/111) and 55\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32240 by -104.\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-180)\/15)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**2 + 27*m**6 - 43439024*m**3 - 4*m + 14*m**6 + 43439013*m**3 - 1 wrt m?\nAnswer: 4920*m**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2*s**2 - 10 + 2*s**2 + (-s**2 - 2*s**2 + 5*s**2)*(1 - 2 - 1))*(2*s + 1 - 1).\nAnswer: -12*s**3 - 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 6 - -4 - 21. Let u(v) = -v**3 - 16*v**2 + 36*v - 26. Let n be u(-18). Is w at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/((-1*7)\/(-2 - -3) - -5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**4 - u**3 - 6. Let m(h) = h**3. Let l(d) = -2*m(d) + y(d). What is the third derivative of l(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/22 + 4013\/11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5657188502.\nAnswer: 2, 7, 401, 1007693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-396)\/54)\/(2\/(-99)). Calculate the greatest common divisor of 99 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 3*c + 15, -21*q + 65 = 2*c - 34*q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) + 2 - sqrt(76)))**2 - (sqrt(19) + (sqrt(76) - (sqrt(76)*2)**2))) + -3 + -4.\nAnswer: 5*sqrt(19) + 377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**3 + b**2 - 1. Let v be (-2 + -1 + 2)\/(-1). Let s be n(v). Suppose -s*t + 3*a + 5 = -2*a, 0 = 5*t - 3*a - 16. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - b)*(9 + 120 - 55 + 493).\nAnswer: 567*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 18*f - 18. Does 14 divide i(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/29 - -173\/580. Let z(h) = -2*h**2 + 20*h + 23. Let b be ((-128)\/256)\/((-1)\/22). Let k be z(b). Which is greater: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)*v\/(v\/(v\/(v\/((v\/v**(-1\/10))\/v)))*v))\/(((v\/(v\/v**(2\/17)))\/v)\/v**0) assuming v is positive.\nAnswer: v**(41\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -764*o + 2504 = -760*o. List the prime factors of o.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 4*l - 4*l)*(-161*l - 65*l + 71*l)*(l - 2*l - 2*l)*(0*l + 4*l - 3*l).\nAnswer: 465*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -3) + 3 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -310*c**2\/17 + 17668454*c\/17 - 227980\/17 = 0.\nAnswer: 2\/155, 56995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 275 divided by -25\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o**5 + 53895*o**4 - 1908020*o**3 + 22555440*o**2 - 86996160*o - 18316800 = 0. What is o?\nAnswer: -1\/5, 12, 2120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 68 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xosmbmt. What is prob of picking 2 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from qqzzqzq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/2777855 and -9\/46651?\nAnswer: 30556405","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 988 - -1113. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 8 - 0. Let q be v\/(-12) + (-26)\/(-6). Suppose q*a = -0*j - 4*j + 50, 2*a - 5*j - 20 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1212 - 446*y**2 - 471 - 739.\nAnswer: -446*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2033331310 (base 4) to base 9\nAnswer: 1087804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 10, a: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*j = 29*j - 7508 - 33475 + 4153 for j.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -50. Let g be y\/(-12) + (-355)\/(-20). What is the highest common factor of 24 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/(c*c**3))\/(c**5*c**(-4\/7)*c)*(c**(-2\/29)*c**(2\/11)*c)**(-5\/3) assuming c is positive.\nAnswer: c**(-42092\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12160290*z**5 + 13288207*z.\nAnswer: -243205800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010283695 rounded to seven decimal places?\nAnswer: -0.0001028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*w - 12, 2*k - 14 = -k - 5*w. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -9\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1343 divide 78324157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -100*(((-145)\/(-40))\/(-1) + 2\/16) is divided by 130.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(252) + -3))**2 + 2 - (sqrt(189) - (sqrt(189) - (-1*sqrt(189) - sqrt(189))))\/(sqrt(3) + sqrt(18)\/(sqrt(24)\/sqrt(4)) - sqrt(3))) + -2.\nAnswer: -138*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79.7 + -0.3. Let t = -11646591.99949 + 11646512. Let x = t - u. What is x rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**3\/6 - z. Let x be q(2). Find the second derivative of 3*s + s**5 + 0 + 0 - x*s wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) -153 (c) 0.15 (d) -2\/9 (e) -3\/2 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550 a factor of 12578250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i + v + 33 = 0, 5*v = 3*i - 11. Let d = i - 5. Suppose -d*f + 48 = 2*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 3*j**2 + 2*j - 6. Let p(w) = 395*w - 1183. Let d be p(3). What is c(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12989.6246 to the nearest ten.\nAnswer: -12990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 867721, 867720, 867719, 867718, 867717?\nAnswer: 867716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyybyppybybppybyyyb.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -0.5 (b) 0.3 (c) -0.2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1676 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/6, 15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/651 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 263881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 4:27 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4646*f**2 - 34*f - 23651. Let g(z) = -1547*z**2 + 12*z + 7883. Let w(t) = -17*g(t) - 6*l(t). Differentiate w(y) wrt y.\nAnswer: -3154*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 27*g. Let y(t) = -656*t. Give y(z(c)).\nAnswer: -17712*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqqexxxqqexxqqqqxx. What is prob of picking 1 x and 1 q?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 + 5. Let n(y) = 7*y**2 + 4. Let d(z) = -3*m(z) + 4*n(z). What is d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 499, 2, 1 in increasing order.\nAnswer: 1, 2, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(12\/13)*z*z**(-12) assuming z is positive.\nAnswer: z**(-118\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 2*z**2 - z - 2. Let s be i(-2). Let k be s + 0 - (-1 - -22). What is the units digit of (0 - k)*(-1)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151050.\nAnswer: 2, 3, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 4*p - 3*p)*(4*p**3 - p**3 - 4*p**3) - p**4 - p**2 + p**2 + (1 - 3*p - 1)*(3*p**3 + 2*p**3 + 0*p**3).\nAnswer: -17*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117218*y - 180762 wrt y?\nAnswer: -117218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3489 + -6977\/2. Is n at least as big as 715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, 1\/10, -4.8, 5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*3*1618\/24. Let p = -48 + -366. Let o = t + p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4639, -4640, -4641, -4642, -4643, -4644?\n\"Answer: -z - 4638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134.1 + 136.1. Let y = 1.3 - 2.2. Let x = y - 3.1. Put x, 16, u, 0.2 in decreasing order.\nAnswer: 16, u, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/2 + (-1)\/(-1). Suppose -4*g = 5*m - 8*m + 6, 3*m + g = 36. Solve -h = -3*q - m, o*h - 7 = -32 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -90*r + 4. Let t(i) = 90611*i. Calculate t(j(u)).\nAnswer: -8154990*u + 362444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*i = 75*i - 430. Let p = 85 + i. Is 1\/26 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128 + 69 + 60 + 81*d to k*d + c and give k.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 46844842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -2*v + 10*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/31 + -1\/2. Let h = -1598851\/3534 + 8602\/19. Let r = h + j. Which is the third biggest value? (a) -2 (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 1 - 22 = 20*p. Let t(b) = -5*b**2 - 2*b + 7. Let c(l) = -6*l**2 - 2*l + 8. Calculate p*c(v) + 4*t(v).\nAnswer: -2*v**2 - 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34\/10 - 22\/55. Let f(o) = -3*o + 6. Let u be f(m). Let w = u + 11. Calculate the greatest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209\/658 - -3\/94. Let o = 26.3 - 25.9. What is the closest to u in 2, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302558 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 18 = 14. Find the third derivative of 2*c**2 - c**5 + f*c**5 - 2*c**5 - 10*c**2 wrt c.\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18759.08605748 + 18640.08606. Let a = -119 - b. Round a to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 - -72 - (1 + (-16 - 12))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 6, 1, -6, -15, -26, -39?\n\"Answer: -d**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -50. Suppose -3 = 2*j - 5*b, -4*j - 4*b = u + 10. What is the smallest value in -1, 3, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23690305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1188810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -5, 11, 3, -1, -29, -4 in decreasing order.\nAnswer: 11, 3, -1, -4, -5, -29, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3642 divide 604841508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650*j - 1647*j + 4 = -w, -3*w + 2 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 381*i - 1551. What is g(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4581*m**3 + 9172*m**3 - 4593*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/24)\/(15\/160).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from fidmwwdsmmd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3967 + 1915. Is 1 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Let j(a) = 2*a**2 + 5*a**2 - k*a**2. Let g(c) be the third derivative of -c**5\/30 + 8*c**2. Calculate j(g(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 15. Let d(y) = -y**2 + 11*y + 6. Let i be d(l). What is the greatest common divisor of 18 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 = -s, 5*d + 0*d + s + 6 = 0. Let o be ((-2)\/(-3) - 0)\/d. What is the closest to -2 in 4\/3, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 6*z + 5*k + 91 = z - 0*z + 108, -5*k = 118*z + 781 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Let a(s) = -9*s - 23. Calculate q(a(r)).\nAnswer: -18*r - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f, q + 5 - 1 = -4*f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 1, k: 8, d: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3305.4 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 o when three letters picked without replacement from jomasmyoy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/((-2)\/(-4) - 0). Let j be o + 9\/(-10)*(-40)\/(-16). Factor 0 - 3\/4*l**5 + 0*l + 0*l**4 + j*l**3 + 0*l**2.\nAnswer: -3*l**3*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8072308 times -11?\nAnswer: -88795388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3000 + 48015\/16. Calculate the common denominator of d and 9\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -120?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 27*q - 1303. What is k(-52)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 323*o + 26*o - 38*o in the form c + f*o + j*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9297.\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35323955 rounded to 2 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkk when three letters picked without replacement from xxxkkxxxkxkxxxxxxk?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t + 22. Let h(u) = -27*u**2. What is h(w(j))?\nAnswer: -108*j**2 + 2376*j - 13068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2136798122.\nAnswer: 2, 1068399061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13268025, 13268023, 13268021, 13268019, 13268017, 13268015?\nAnswer: 13268013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**3 + 7 + 0*v**2 - v - 1\/4*v**5 - 10\/3*v**4. Find the third derivative of s(b) wrt b.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5865 and 3145?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {l: 1, j: 1, q: 1, y: 1, h: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 985.3 + -1030. Let j = -42 - z. Let r = -2.4 + j. What is the third smallest value in 1, 1\/4, r, -2\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10)*2) - (sqrt(9) + sqrt(36))\/sqrt(3).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*a - 1164 + 1352 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000056549361 to seven dps.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n\/((n\/((n\/n**2)\/n))\/n))*n*n*(n**(3\/5)*n)\/n*n*((n*(n**(3\/2)\/n)\/n)\/n*n)\/(n*n**4) assuming n is positive.\nAnswer: n**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. Calculate the remainder when 19 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 1413203?\nAnswer: -1413224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5060, -6366, -7672, -8978?\n\"Answer: -1306*d - 3754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 741 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 214, 170, 126?\n\"Answer: -44*x + 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1514635, -3029270, -4543905, -6058540, -7573175, -9087810?\nAnswer: -10602445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23285097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12213248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2. Let j(r) = 9*r. Let g(x) = x. Let o(d) = -5*g(d) - j(d). Let t(p) = -224*p. Let s(n) = 49*o(n) - 3*t(n). Calculate s(i(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/3 - 854*v**3\/3 + 6788*v**2\/3 - 16936*v\/3 + 4512.\nAnswer: (v - 846)*(v - 4)*(v - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0 (b) -0.4 (c) -2 (d) 42 (e) -212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5698 and 243460.\nAnswer: 2678060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36771 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 8:51 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*r + 143*r - 472*r - 2135 + 2135.\nAnswer: -116*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 328 and 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2754 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 11*g**2 + 4*g - 7. Is x(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*z - 4*c - 80, 2*z - 4*c = 48. Let l(u) = -5*u + 75. Let f be l(z). Sort 2, f, -15 in decreasing order.\nAnswer: f, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 39, -4, 2, -3, 18704 in decreasing order.\nAnswer: 18704, 39, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, q: 10}. Give prob of picking 3 t.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**3 + 1219*p**2 + 189*p - 2 wrt p.\nAnswer: -12*p + 2438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 + -2 + (0 - 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*r - 4417. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*a - 32 = -8*x, 3*x + 5*a - 3 = 2*a - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:09 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-28)*5\/(2070\/(-184)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/8)\/((30375\/200)\/81)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4669 or -3678831\/788?\nAnswer: -3678831\/788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 58 = -2*a, -3*o + 28814 = -16*a + 29278 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -577*a + 2287. What is x(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29899, 59390, 88881, 118372, 147863?\n\"Answer: 29491*x + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/84)\/(((-2640)\/(-44))\/180)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -4, -1, 7.\nAnswer: -4, -1, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -13\/5 (b) -1\/3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 293*f**2 + 739*f - 2451. Calculate c(144).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25457 or -2565?\nAnswer: 25457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 50 = 1072. List the prime factors of q.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 11:56 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*o**3 + 61*o**3 - 14*o**3 + 0*o**3 + 0*o**3 + 2*o**3 + (2*o**3 - o**3 - 3*o**3)*(-3 + 5 + 0) in the form n*o + p + y*o**2 + h*o**3 and give h.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -616 + 87. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + 1 - 10 - -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/((-1)\/3). Let r = -1 - q. Let k(v) = 4*v**2 + 12*v + 11. Let p be k(-2). Solve -w + p*w + 6 = r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.058780485\nAnswer: 0.0293902425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*r - 18. Let p = 27 + -29. Which is the closest to p? (a) 2\/3 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3591*j**4 - 18*j**3*y**2 - 49*j*y + 3*y**2 + 152*y wrt j?\nAnswer: -43092*j**2 - 108*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*d + 1037*d - 190*d = -18396 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0178 - -1512.0178. Which is bigger: 3\/4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w + 1336 - 5704 = 0. Is w a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -53106\/2231?\nAnswer: -53106\/2231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**2 - 1. Let c(x) = 37*x**2 - 61*x**2 + 32*x**2 + 1. Let k(i) = 3*c(i) + 2*r(i). Let q(l) = -2*l**2. Give q(k(s)).\nAnswer: -32*s**4 - 16*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 201375 (base 12) in base 14?\nAnswer: d0281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720*p - 28301 - 35102 - 4948 = 769 for p.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-191)\/4 - 6\/24. Does 31 divide (-12)\/k + 795\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-4*o + 2*o + 3*o) - 23*o - 9*o - o + 0*o - 2*o - 3*o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53364 rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/8 of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -675400 rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 145. Give z(-42).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 83 + -3 + 0. Let b = s - 79. What is the units digit of 6*-5*4\/((-16)\/b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28 and -20?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 601809523 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -1768, -4, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3 = 5*v, 10 = -4*v + 4*u - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + -2.7. Let n = 0.9 + g. Let f = 0 - 0. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812618959.\nAnswer: 1979, 410621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 595 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 186\/275 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t + 1. Let p be r(1). Let c be (-2 + 2)*(1 + p). Let c + 245\/4*s**4 - s - 189\/4*s**3 + 12*s**2 = 0. Calculate s.\nAnswer: 0, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 18*s**4 - 1594*s**3 + 25780*s**2 + 305600*s - 6552000 = 0.\nAnswer: -130\/9, 20, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/51)*w)\/w**(2\/45))\/(w**3)**(1\/3) assuming w is positive.\nAnswer: w**(-4\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Let j(n) be the second derivative of n**5\/20 - 5*n**4\/12 - n**3\/3 + 3*n**2\/2 + 1035*n - 4. Give j(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, y: 2, c: 2}. Give prob of picking 2 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50579210741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a**2 + 8*a**2 - a**2 to the form c*a + u*a**2 + n and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(252))\/((sqrt(48)\/(sqrt(72)\/sqrt(6)) + sqrt(4) + sqrt(4))*-1).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 - 20?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + sqrt(1872) + -1)**2*1 - -3*(sqrt(1872) - (0 + sqrt(1872)) - sqrt(1872))**2)*-4.\nAnswer: -52420 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 5*p**2 + 5*p + 5. Let a(h) = 3*h**3 - 15*h**2 + 16*h + 16. Let b(j) = 2*a(j) - 7*s(j). Is 6 a factor of b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 221872.\nAnswer: 221872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*h - 26, 0 = -3*h - 4*j + 12 - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 0.4 (b) 0 (c) -0.5 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/((-46)\/8). Let y = 716\/3141 + -2\/349. What is the smallest value in y, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35552 + -22341?\nAnswer: -102333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**5\/30 - y**3\/3 + 2*y**2. What is the units digit of m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 0)\/(33\/(-12) + 3). Find the first derivative of 17 + 8 + 0 - 8*p**c wrt p.\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 8*z + 15. Let j(a) = a**3 - 7*a**2 - 8*a + 7. Let l be j(8). Let h be o(l). Let s = -73 + h. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 483, -5, -4.\nAnswer: -5, -4, 3, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q + 5. Let p(a) = -1. Let s(x) = -109*x - 6648. Let b be s(-61). Determine b*w(j) + 4*p(j).\nAnswer: -10*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 582 - 1406. Is -825 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + 6*b**2 + 6. Let o(q) = 5*q**3 + 7*q**2 - 12*q - 313. Let s(y) = y**3 + y**2 - 2*y - 52. Let r(d) = o(d) - 6*s(d). Give -n(j) + 6*r(j).\nAnswer: -2*j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**3 + 16*x**2 - x**2 - 5*x**3 + 3*x**3 wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196537453.\nAnswer: 7, 127, 221077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.1, 0.3, -1281, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154 + 465 - 159 - 149 - 576*y**2 to the form u + g*y**2 + a*y and give g.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -70.5258?\nAnswer: 14.10516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1393 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-5)*980\/588.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 + 818 = 39*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/10)\/((-448)\/(-10760)) - 3 and -65\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19835029?\nAnswer: 149, 133121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8 - 4. Let p = y + -0.2. What is the biggest value in -4, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*k - 1 = 4*n, n = k - 9. Let x = -26 + 21.6. Let o = x - -4. Do o and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16765*2068.\nAnswer: 34670020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21472, 21475, 21478, 21481, 21484?\n\"Answer: 3*g + 21469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/2592219 and 11\/1134.\nAnswer: 139979826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (6 + (8 - (5 + 11)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/13776 and 44\/80857?\nAnswer: 159126576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(125)*-1 + sqrt(125).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 776525*q**2 + 5*q**3 - 776545*q**2 - 1170 - 354*q - 141*q.\nAnswer: 5*(q - 13)*(q + 3)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-6) + 115\/(-327). Let s = 102104642\/981 + -104082. Let w = s - j. Which is the third smallest value? (a) -1 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -277 (b) 0.3 (c) -1\/4 (d) 3 (e) -3.2 (f) 72\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, -45.47 in ascending order.\nAnswer: -45.47, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + h)*(-3 + 0 + 1)*(3 + 1 - 6) in the form x + z*h and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((720\/(-35))\/(-12))\/(4\/(-14))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = r + 2*r - 3*d, 4*r = -3*d + 25. Solve -4*a = 4*j + 16, 2*a + 0*a + r*j + 12 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 3*w**2 + 34*w + 4. What is the smallest common multiple of 230 and p(6)?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2340?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 11. Let b = v - -6. Let i(r) = -r**3 + 12*r**2 - 4*r + 6. Is i(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 585, 1, -5, 327, 5 in increasing order.\nAnswer: -5, 1, 5, 327, 585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - 0.5. Let i = 76.314 - -0.186. Let o = i + -76. Which is the second biggest value? (a) -14 (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 22. What is the derivative of 7*n**4 - 1 - q*n**4 + 2*n**4 wrt n?\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -162853959 to the nearest 100000.\nAnswer: -162900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 925, 188, -615, -1484?\n\"Answer: -33*h**2 - 638*h + 1596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38357 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-16)\/84)\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 e when three letters picked without replacement from mmeeeeememe?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9972, -14429, -18884, -23337?\nAnswer: -27788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 + 3*p + 8. Determine y(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x + 3*z - 2, -5*x = 4*z - 21. Suppose -r = x - 17. What is the greatest common divisor of 96 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1477647 (base 13) to base 10\nAnswer: 6528360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1438 + -1308. Let u(w) = -w**3 - 3*w**2 + w - 2. Let s be u(-4). Calculate the greatest common divisor of s and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/45 in 4, 1\/3, -4\/7, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, 0, 5, 12?\n\"Answer: y**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from {d: 3, t: 4, r: 1, p: 4, a: 1, n: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*k + 37*k - 156. Let m(p) be the third derivative of -1\/66*p**k + 0*p + 0 - 1\/660*p**5 + 3*p**2 - 1\/22*p**3. Find c, given that m(c) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -8. Solve -6*p + t*p = 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Suppose 3*i - 6 = -2*m, i + 5*m = -0*m + 2. Suppose 0 = i*z - 5*z + 3. Calculate the greatest common divisor of z and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/3*36\/(-540). Let v(j) be the first derivative of -1\/2*j**2 - 4\/3*j + n*j**3 - 13. Find y such that v(y) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4631010 by 5.\nAnswer: -926202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21916574 is divided by 904?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 93. What is the remainder when 93 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 345 + -153. Let f = 498 + 187. Let k = f + l. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**2 - 181*f + 14914. What is q(37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 11:48 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - 23*d**2 + 23*d**2 - 3*d**4 + (-3*d + 5*d + 0*d)*(-d**3 - 4*d + 4*d).\nAnswer: -5*d**4 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 90*q**2 + 170*q - 93. Let t be o(-43). Let a(v) = -1. Let c(p) = -p - 10. Let u = -1 + 0. Let s(j) = u*c(j) + 4*a(j). Calculate s(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4*p**3 + 58861*i**3*p**3 + i*p + 9500*p**3 wrt i.\nAnswer: 12*i**2*p**3 + 353166*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 - 2*t**2)*(3*t**2 - 11*t**2 - 20*t**2).\nAnswer: 84*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -611863802.4 to the nearest one hundred thousand.\nAnswer: -611900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -493\/2310 - -8\/35. Let b = -148\/33 - d. Find the common denominator of 11\/126 and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.38111 * 24\nAnswer: 129.14664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. What is the third derivative of h**2 + 2*h**a - 8*h**4 + h**2 wrt h?\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6 - 9*h + 1 + 11*h. Suppose -13*u - 6096 = -6174. Let p(v) = -18 - 3*v + 4 + 1. Give u*p(j) + 11*q(j).\nAnswer: 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -44*m**2. Let q(d) = 35*d**2 - 75*d**2 - 3 + 3 + 37*d**2. Calculate q(t(c)).\nAnswer: -5808*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2551, 2574, 2609, 2662, 2739, 2846, 2989?\n\"Answer: q**3 + 16*q + 2534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 4*a**4 + 3*a**4 + (0*a**3 + a**3 + 0*a**3)*(-a + 2*a + 0*a) + (-a**2 + a**2 - a**2)*(a**2 - 2 + 2).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {f: 1, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -230.76 - -239. Let d = o - 8.2399599. Round d to six decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/48 and -139\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/6 - 6\/(-4). Let p(h) = -5*h + 5*h**2 + h - 3*h**2. What are the prime factors of p(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -305812?\nAnswer: 1\/305812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9119381 is divided by 1548?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 87?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) -7\/8 (c) 2 (d) -0.1 (e) -0.463\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 + 368948*z**2\/5 + 2951488*z\/5 + 5902912\/5.\nAnswer: 2*(z + 4)**2*(z + 184466)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52470 + -35851. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a. Suppose -272 - 22 = -3*b. Suppose 5*g - 2*w - b = 0, 2*w = 4*w + 8. Let i(o) = -g - o**2 + 18. What is z(i(t))?\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 1100094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3709230 and -43\/54?\nAnswer: 33383070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28132 - 28131.99747598. Round i to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/57048 and -79\/144.\nAnswer: 342288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 2220200021220121?\nAnswer: -2220200021220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (19 - 4) + 1 + 0. Suppose c*s = 13*s - 21. Let h = s - -10. Solve f = 6 - h for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 3*l**2 - 6*l - 4 - 1 - l. Let j be f(-4). Let k(o) = 8572*o**2 - 4*o. Let b be k(j). Round b to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284849*1.922.\nAnswer: -547479.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -37*p**2 - 111*p - 33. Determine s(-4).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0386468824 to six dps.\nAnswer: -0.038647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 296728?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}