diff --git "a/data/dm_maths/full_data_2/1880_11255.jsonl" "b/data/dm_maths/full_data_2/1880_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1880_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c(a) = 30*a**2 - 2*a + 1. Let p(u) = -u**2 - 131*u - 573. What is the remainder when p(-126) is divided by c(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 2 - 22. Let w(y) = -y**2 - 1. Let u(n) = 5*n**2 + 10*n. Suppose 5*z + v = -6, 3*z - 22 + 21 = 4*v. Let h(j) = c*w(j) + z*u(j). Give h(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, j: 2, u: 14}. What is prob of sequence ujju?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 + 2 + 8*p**4 + 26*p**2 - 18*p**2 wrt p.\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 9*v**2 + 3*v**2 + 9*v**2 - 24*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-314)\/8 - (3 - 5). Let s = -8 + -29. Let w = r - s. Which is smaller: w or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297345539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167745*r**2*t**3 - 19014*r**2*t - 15*r**2 + t**2 wrt t.\nAnswer: 1006470*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*z**2\/5 - 2348*z\/5 + 104.\nAnswer: 4*(z - 65)*(9*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -29.996?\nAnswer: 29.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 139?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*r = -683*r + 5*h + 50, r = -5*h - 22 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 860 and 202788?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 6 = 2*b + 17, 5*j - 19 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 78. What is the third biggest value in 0, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.577, -1, 5?\nAnswer: 0.577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/176 and 1072\/(-1340) + (-394)\/1320.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1309\/6 - 13339\/60. Calculate the common denominator of 7\/1118 and y.\nAnswer: 11180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 26, 2\/19, -1 in increasing order.\nAnswer: -1, -0.2, 2\/19, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fopz when four letters picked without replacement from {b: 3, o: 4, f: 1, t: 4, p: 1, z: 1}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 8. Let i(t) = 5*t + 15. Give 4*i(y) + 7*s(y).\nAnswer: -y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*s**5 + 190*s**2 - 386*s wrt s?\nAnswer: -60*s**3 + 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -910 - -909.5. Let m = 0.06 - -0.34. Which is the nearest to 5? (a) d (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11681 or -329?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l - 7*l + 11*l - 4. Let c be ((-28)\/(-70))\/((-1)\/(-15)). Let b = 2 - c. Give y(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*b**2 - 1 + 7*b**2 + b - 4*b**2.\nAnswer: 53*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqkq when four letters picked without replacement from {l: 1, d: 1, q: 2, u: 1, c: 3, k: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - r - 315 = 0, 0 = 4*t + 2*r - 0*r + 1268. Let l = t + 213. Does 6 divide (-2)\/(-6) + l\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108211701 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 9*h**4 - 33429*h**3 + 6574368*h**2 - 2165460*h - 4375488 = 0.\nAnswer: -2\/3, 1, 208, 3506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 6 - 7)*(-4 - 1 + 3)*(3 + 4 - 6)*(-4*i + 5*i + 0*i) to the form c + l*i and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 4*b**2 - 13*b + 52. Let s be i(4). Suppose s = 4*a + 9*a - 338. Solve 2*h - w - a = 7*h, 3*h = 2*w - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 20 = -152 - 36. Let s(t) = -10*t - 11. Calculate the remainder when s(-8) is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -554 + 2759\/5. Let s = -6064\/7 - -48519\/56. Which is the smallest value? (a) m (b) s (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*d**4 + 8*d**4 + 12*d**4 + 6*d**4 + 15*d - 15*d - 2*d**4 + 3*d**4 + d**4 + (3*d**2 - 6*d**2 - 2*d**2)*(5*d**2 - 5*d**2 - 2*d**2) + d**4 + d - d.\nAnswer: 23*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 + 3)*(-14*f**2 + 69 - 33 - 30).\nAnswer: 56*f**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7429)\/(-57) + (-2)\/(-3) - -3 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.361383 rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4 = -r, -22*x - 7*r - 4 = -27*x. Sort 4, -24, -4, x, -5.\nAnswer: -24, -5, -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p. Suppose p = 7*c - 2*c + c. Solve -x = -4*b + 22, -2*x - b + 0 + 1 = c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2902 + 5560 - 2658 - 65*g.\nAnswer: -65*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 2\/6 - 136\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -30.4. Let r = -1762 + 1767. Which is the third biggest value? (a) -15 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a second in milliseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -676371 (base 15) in base 12?\nAnswer: -1799b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1684*t - 5*p = 1683*t + 70, -27*t - 13*p - 149 = -23*t - 0*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605765 is divided by 201227?\nAnswer: 2084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69\/7 in 0.4, -5, -4, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 + 268. Let q(j) be the second derivative of 1\/4*j**4 - r*j + 2*j**3 + 9\/2*j**2 + 0. Factor q(p).\nAnswer: 3*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13716 - -28784. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**8)**43\/(n**(1\/6)*n**10) assuming n is positive.\nAnswer: n**(-1867\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*((-175)\/2)\/(-5). Let d = c - -67. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, 2\/11, 1, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 117, 112, 105, 96, 85?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8)*-10*(-132)\/(-110)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -21*a + 129. Let d be t(6). Solve k + 8 = d*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18510452 times 0.18\nAnswer: 3331881.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77598900?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (sqrt(325) - ((2 + sqrt(325))**2 - sqrt(325))) + 4)*-3 + 4*(sqrt(1053) - ((sqrt(1053)*2)**2 + -4)).\nAnswer: -15857 + 51*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*l**2 - 8\/7 - 2\/7*l**3 + 0*l.\nAnswer: -2*(l - 2)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/41 + -197\/82. Which is the third smallest value? (a) -2\/7 (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2. Let c(v) = -5*v**2. Let b(p) = -14*p - 10. Let z be b(-1). Determine z*m(g) + 5*c(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3745, -7499, -11249, -14995, -18737?\nAnswer: -22475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131124131 (base 5) in base 7?\nAnswer: 131615004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/26351410 and 7\/10540564?\nAnswer: 52702820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 12463554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 4, u: 3, q: 5}. What is prob of picking 2 q, 1 u, and 1 l?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 1 = 4*x. Let i = x + -6. Suppose i = 4*y - 17 - 23. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.062 and 2.9?\nAnswer: -0.1798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53129*i**2*o**6 + 46*i**2*o**2 + 77*i**2*o - 4*i**2 wrt o.\nAnswer: 6375480*i**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4194960893 to the power of 1\/2, to the nearest integer?\nAnswer: 64769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -9 - (2 + 2 - (13 - 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019402 rounded to seven dps?\nAnswer: -0.0000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwqw. Give prob of sequence qqw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*l + 2*s + 47, -3*s = 4*l - 67. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2148.34276 to one dp.\nAnswer: 2148.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14587 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmdmmmdmmmmp. What is prob of picking 1 p and 1 k?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1432895 + 3739855817\/2610. Find the common denominator of t and 8\/3045.\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1021895 + -405030. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219 - 225. Let c be (10\/m + 1)*105\/5. Which is smaller: -17 or c?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, 4, -1, -2 in descending order.\nAnswer: 4, -1, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b - 15. Let c(n) = -15*n - 29. Let x(h) = -2*c(h) + 5*f(h). Let q be x(-4). Suppose 5*l + 8 = q. What is the second smallest value in -3\/5, l, -6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v + 8 = -57*v. Let f(q) = 17*q - 65. Let r be f(v). Solve w = r*j - 3*w - 35, 4*w = -20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-30))\/(800\/(-384))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 1, -1.5, 7582, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13571022?\nAnswer: 2, 3, 2261837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and 4872578?\nAnswer: 160795074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-1\/3)))**(-22)\/((x\/(x*x**(-2)*x*x))\/x*(x*x*(((x*(x**9\/x)\/x)\/x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13670 + -13668.0789. Let t = -123.93 - -122. Let p = t + s. What is p rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x + 11. Let o be w(11). Let i = 46 + o. Is 40 a factor of (i\/4)\/((-7)\/(-1694))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-7 + 4) - 17) + 47 + -54.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73824969*p*y**3 + 2*p*y**2 + 1472006 wrt y?\nAnswer: 442949814*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/42)\/((-18)\/(-108))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - 5*w + 0*w**3 + 0*w**3 + 3*w - 3*w - w**3 + 2*w**3 + 1 - 1 + (-2 + 2*w + 2)*(w - w - w**2) - w**3 + 0*w**3 - w**3 + 2 - 3*w**3 - 2.\nAnswer: -4*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*v**(-1\/6))\/v)\/(v*v*(v\/(v**2\/v))\/v*v)*((v**(2\/7)*v)\/v)**(-24\/5) assuming v is positive.\nAnswer: v**(-323\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from qqqqqqqqqqqqfqq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174690 is divided by 87300?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/31, -62, 163 in ascending order.\nAnswer: -62, -2\/31, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138 + 415\/3. Sort -3, -6, c in increasing order.\nAnswer: -6, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(3*sqrt(3)) + sqrt(9)*-1*-2)\/(2*1*sqrt(243) - (sqrt(243) - (sqrt(243) + -2*sqrt(243)*-4) - sqrt(243))).\nAnswer: 7*sqrt(3)\/297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g + g - 7 + 2*g**2 - 324 as h*g + l + n*g**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkeeskkkssseksk. What is prob of picking 1 x, 1 e, and 1 k?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -1755. Is 74 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 31 - 17. Let y = j - -1. Solve -4*z = -2*m - 0*m + 14, 0 = 3*z - m + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -13. What is the units digit of 2\/i - 262\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 4:45 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwumwewbkww. Give prob of picking 1 e and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1476, 1468, 1448, 1410, 1348, 1256, 1128, 958?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*n + 20, -3*f + 4*n + 25 = 9. Solve f = 90*v - 79*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * -504.46\nAnswer: -80.7136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 330225769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -941, 23247, 88897, 216739, 427503, 741919?\nAnswer: 1180717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444 = -13*m - 39*m + 15*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18 + 1a?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3) + 4\/1. Let o(k) = k**2 - 6*k + 3. Calculate o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 73*f - 66*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 18734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/1455 and 29\/98933307.\nAnswer: 494666535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-58)\/15 + 2)\/(30\/(-14925)). Let k = -919 + z. Find the common denominator of 11\/2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 10972205?\nAnswer: -28\/10972205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 206633691 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/15 + (-8096)\/(-10). Suppose 2*v = -5*p + 1996, -2*p + b = -13*v + 8*v. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*f + 5, -5*j + 8 = -3*f. Let v be (-5 + 2\/j)*-16. What is the greatest common factor of 32 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 6*b + 1732. Determine h(40).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**2 + 5*c + 5. Suppose 44 = 11*u - 0*u. Let i(v) = 5*v**2 + 4*v + 4. Determine u*i(z) - 3*h(z).\nAnswer: 5*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -271869127 - -1.08.\nAnswer: -271869125.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8798041, 8798040, 8798039, 8798038, 8798037, 8798036?\nAnswer: 8798035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21\/((-1008)\/(-24)))\/(-1))\/(3\/(-138)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**4 + 98580*m**3 - 485900820*m**2 = 0?\nAnswer: 0, 9858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, g: 2, c: 1, m: 1, o: 1, r: 2}. What is prob of picking 1 c and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2932 + 172. What is the units digit of (-2)\/(-7) - d\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 530\/3 + -176. Let r(u) be the second derivative of 0*u**4 + 0*u**2 - u + 0 - k*u**3 + 1\/10*u**5. What is the second derivative of r(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.36 or -1?\nAnswer: -19.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 3*b**2 + 3*b + 2. Let x be n(3). Let d = 29 + x. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42562253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000208003315 rounded to seven dps?\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 55*t + 75. Calculate m(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -5*w**3\/2 - 5*w**2 + 2*w. Let v be a(-8). Suppose -5*g = -0*g - v. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v + 25. Let a be -1 - (4\/(-2) - -4). Let l be 0 + a\/(-2) - 1. What is the closest to l in 1\/3, 5\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 5) to base 2\nAnswer: -10111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 125 + 90. Suppose 227 = 3*h - 4*m, 44 + 27 = h + m. Let s = c + h. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1\/8, 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -5*v**6\/12 - 47*v**3\/6 + v**2 - 2. What is the derivative of a(w) wrt w?\nAnswer: -150*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*(sqrt(76) + 6*(-1 + sqrt(76))) - (-4*1*sqrt(76) + 3))*3*6 + -4)**2.\nAnswer: -40684320*sqrt(19) + 897771076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1278 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 56422 (base 8) to base 12\nAnswer: 11956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12336303971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 58, -21, -1, 4.\nAnswer: -21, -1, 3, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/7965413 and 11\/4.\nAnswer: 31861652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 89927.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2. Let z = 56 + -51. Let c(q) = -12*q**2 + 2 + 19*q**2 + z*q + 3. Let o(k) = k**2 + k + 1. Calculate l*c(b) - 5*o(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -20 + (-29 - -42)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -31. Find the second derivative of 7*t + 56*t**3 - 63*t**3 + w*t wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2124 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2)*172\/258*-5*1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388994 divided by -1?\nAnswer: -388994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 16. Suppose 3*j = 7*j + 352. Let d = -16 - j. What is the greatest common divisor of d and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32864 - -887.\nAnswer: -31977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -910 + 198 - 1765 + 680*c**2 - 122*c**2 + 5*c wrt c?\nAnswer: 1116*c + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:02 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 6*m**2 + 20*m + 90. Let r be h(-7). Let j = r + 209. Calculate the highest common divisor of j and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120788*r - 43*r**2 + 2 + 2*r**4 + 120788*r to the form u*r**3 + z*r + j*r**2 + y + t*r**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 8*l**2 + 9*l - 10. Let p be s(-6). Suppose p*h - 3*h = 25. Suppose y + 5*g - 155 = -y, -3*y + 195 = -h*g. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 24*d = 259. Let a be (-2)\/(-6) - (-42)\/9. Suppose 0 = -3*o + 4*k + 31, o + k - a = 10. Calculate the remainder when d is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/60 + k**4\/24 + 130*k**2 - 3*k. Let b(h) = 7*h**2 - 5*h - 1. Determine 2*b(m) + 10*o(m).\nAnswer: 4*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*w = 79*w - 168. Calculate the highest common factor of 91 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12446?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 21*c - 19. Let b be z(19). Let u = 21 - b. Solve u - 8 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 28*o**3 + 3*o**2 + 26*o + 3. Let v(p) = -83*p**3 - 8*p**2 - 78*p - 8. Let l(c) = 3*v(c) + 8*z(c). What is the second derivative of l(g) wrt g?\nAnswer: -150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 2*a)*(2 + 14 - 3)*(4 + 1 - 4).\nAnswer: -26*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b + 20. Let m = 13.543 - 0.043. Let l = m + -14. Sort b, l, -1\/9 in decreasing order.\nAnswer: -1\/9, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b = -18. Let v = 6 - b. Suppose 0 = -v*g - 2*g + 150. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -104*k**3*m*w - 3*k**2*m*w - 3*k**2 + 3*m*w + 6*m + 26*w wrt k?\nAnswer: -312*k**2*m*w - 6*k*m*w - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103332200 - -1102?\nAnswer: -103331032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -226, -334, -438?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.28334 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -81a07 (base 16) in base 10?\nAnswer: -530951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -641047945 take away 30995?\nAnswer: -641078940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5451, -5463, -5475, -5487, -5499, -5511?\n\"Answer: -12*v - 5439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/368 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 2*z**2 - 3*z - 5. Let g(l) = -l**3 - l**2 - 1. Suppose -486*x + 4 = -484*x. Calculate x*g(k) - o(k).\nAnswer: k**3 + 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -20\/41, 0.3, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 + 32 + 10*t**2 + 17 + 31 in the form k*t**2 + m + o*t and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - k = -0*b - 69, 0 = b + k - 17. Suppose -14*r + b*r = -2. What is the second derivative of 0*i**2 + i**r + i**2 + 20*i - 16*i**2 wrt i?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -131, 5, -15, 2 in increasing order.\nAnswer: -131, -15, -2, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 9 = -3*y, 15*g - 17 = 4*y + 14*g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 + -92. What is the remainder when z is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -200 - -204. Suppose -g = -2*z - l, z + 75 = 5*g + 2*z. Calculate the remainder when 15 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 177 = 3*p + 2*n, 0 = -n - 3. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 72, -2\/13, -0.2, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -130403 equal to -1695234\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 17. Suppose 2*y - x - 27 = 0, -8*x + 10*x - 6 = -2*y. Give k(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 (base 6) in base 2?\nAnswer: -10001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by -28.\nAnswer: -313\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Suppose 4*d + 4*p = 24, i*p - 21 = -4*d - p. Is 3\/4 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-13)\/(v*v*v\/v**(-2\/35)*v))**29 assuming v is positive.\nAnswer: v**(-17313\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/sqrt(3) + -2)*-4 + 0)**2.\nAnswer: -64*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/(l\/l**(-2\/9)))**(-37)\/(l*(l\/(((l*l**(-2))\/l)\/l*l))\/l*l**(-4\/9)*l)**(-9\/5) assuming l is positive.\nAnswer: l**(-6002\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3086 + -330.87?\nAnswer: -331.1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 21 = -3*m, 4*m + 12 = -2*d - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*y - 4*b, 2*b - 3 = 2*y + b. Let o = -61 - -60. Let s be 56\/(-98) + o\/(-7). Do s and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 - -20444?\nAnswer: 20301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 97 = 2*c - 5*i, -601 = -5*c - 4*i. Let t = c - -3. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/3 - 4876*l**3\/3 + 29112*l**2 - 174384*l + 348480.\nAnswer: 2*(l - 2420)*(l - 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*u + 9*u + 13*u)*(27 + 20 - 48).\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 3 - (-2 + 2 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/u)\/(u\/(u\/u**6)*u)*u\/u**(-5)*u**(2\/9)\/u*u assuming u is positive.\nAnswer: u**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 122665, 245337, 368007, 490675, 613341?\n\"Answer: -h**2 + 122675*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n - 2. Let z be a(-4). Suppose 5*p = z + 66. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 0 = 3*f + 13, 2*y - 10 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + f**3 + 16 + 25 - 2*f**2 - 36 to the form h + r*f + b*f**3 + q*f**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in -2, 13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/16? (a) 1\/5 (b) -2.8 (c) 0.5 (d) -1\/3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.38*217.5\nAnswer: -82.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3110, 3147, 3242, 3425, 3726, 4175?\nAnswer: 4802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g + 328. Calculate v(39).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5109 + -5095. Solve -m + 6 = -17*v + j*v, 0 = 5*m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -8. Sort 1, h, 21 in descending order.\nAnswer: 21, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 103.4, -11, 0.7.\nAnswer: -11, -4, 0.7, 3, 103.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 12*n - 16. Let c be m(-10). Suppose 54 = c*d - 54. Suppose 3*w = -d + 420. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 + 17382924*j\/5 - 25180503899148\/5.\nAnswer: -3*(j - 2897154)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 c when three letters picked without replacement from eeeeeeececeeeeeeee?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 0*y - 5*y + 10*y**2 - 4 + y - 25*y**2. Let a(q) = 30*q**2 + 7*q + 7. Let h(f) = 3*a(f) + 5*t(f). What is the tens digit of h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8284936*y - 5306208.\nAnswer: -8284936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82.91064 + -44.90993. Let y = 76 + -114. Let z = m + y. What is z rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -h - 4*m, -4*h = 2*m + 2*m + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 34. Suppose 4*m = m + z. Does m = 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39.3 + 36. Let y = t + -0.7. Let g(f) = -f**2 + 5*f + 2. Let s be g(5). Sort 0.5, y, s.\nAnswer: y, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 735027 and 0.\nAnswer: 735027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d + 1. Let w be k(1). Let n = w + 10. Calculate the greatest common factor of 16 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3613654*c**6 - c**2 + 229*c - 1411 wrt c.\nAnswer: 433638480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 501*n + 501*n. Let k(p) = -14*p**2 + 4. Determine k(a(f)).\nAnswer: -14*f**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-3\/8)\/o))**(7\/5)*(o*o*o\/(((o\/(o\/o**(1\/9)))\/o)\/o)*o*o)**(2\/47))**(-39) assuming o is positive.\nAnswer: o**(-795847\/5640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**41\/((l**(-1)*l)\/l*l**(-1\/8)\/l)*(((l\/(l**(6\/7)*l)*l)\/l)\/l**(-8))**(-4\/7) assuming l is positive.\nAnswer: l**(13771\/1176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b - 109 = -38*b + 10*b. Is -1\/4001 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2070 - -2072.142. Let x = r - -0.158. Which is the fourth smallest value? (a) -1 (b) 3 (c) -4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(-1*sqrt(8)\/sqrt(2)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -890 divided by 178?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 200025 divided by 5.\nAnswer: 40005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148037.\nAnswer: 37, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000728747 rounded to 6 decimal places?\nAnswer: -0.000729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*p - 26 - 10908 = 0 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -92ed0d?\nAnswer: 92ed06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13*s + 14. What is the lowest common multiple of p(-4) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 6. Let l(i) = i**2 + 8*i - 10. Let m be l(-8). Let b be d(m). Let z be (b + 2)\/((-2)\/8). Solve 2*s = 2*x + 4, -s = -z*x + 4*x - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/6 + 186\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l**3 + 43*l**2 - 93*l + 48. Let y(f) = -f**4 - 4*f**3 - f. Let o(s) = -2*i(s) - 2*y(s). Let o(x) = 0. Calculate x.\nAnswer: -6, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) -2\/1083 (b) 1\/2 (c) -0.4 (d) 1\/4 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gdgdg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**3\/6 + 24*m**2 + 56*m. Calculate the remainder when 103 is divided by g(-20).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or -62825?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 631187 (base 12) in base 2?\nAnswer: 101111100001010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 662840769 to the nearest integer?\nAnswer: 25746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5\/60 - 2*h**3\/3 - 2*h**2 + 29*h. Let r be m(3). Let c = 173\/14 - 55\/7. Is r < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*m - 240 = 364*m. Let h(l) = -186*l**3 + l**2 - l - 1. Let w be h(-1). Let p = w - m. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 q, and 1 w when three letters picked without replacement from {f: 3, q: 1, w: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -5\/4, 44?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*h = 4 - 1, -4*o - h - 23 = 0. Let a be (-3)\/1 + 1 - o. Suppose -82 = -a*f - 5*s, 2*s + 14 = -f + 40. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 276 + -165. Let j = n - 109. Solve -2*g = -3*r + 19, 0 = 4*g - j*g + 5*r - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 82\/9?\nAnswer: 82\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**4\/36 - 4*z**3\/27 - 55*z**2\/6 + 3955. Factor k(g).\nAnswer: g*(g - 15)*(g + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 9. Let x = 36 - 69\/2. Which is the nearest to w? (a) 3 (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - i - 72, 54 = 4*z - 4*i + 5*i. Let a = -28 + 49. Calculate the highest common factor of z and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -8*m + 3*m + 205, 0 = 4*t - 2*m - 146. Let b be t\/(-84) + (-8)\/(-28). Is 3\/5 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 9. Let x be g(-6). Suppose -x = -r + 2*w + 3*w, -w = -4*r + 17. Suppose -o + r*t = -117, 2*t + 2*t + 335 = 3*o. List the prime factors of o.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39 + 15 + z + 2*z**2 + 23 + 5*z**3 to k + m*z + p*z**2 + l*z**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 7. Let p be g(7). Suppose p + 210 = 6*k. Calculate the greatest common divisor of 168 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 152\/19 - (-2232)\/(-291). Is h smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -80. Calculate the common denominator of n\/(-3) - (3 + 50\/(-18)) and 143\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 550 and 16.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1. Let d(c) = 2*c - 7. Let m(k) = -d(k) - 4*s(k). Let n(g) = 2*g - 2. Suppose 2*r - 7 - 1 = 0. Calculate r*m(l) + 5*n(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 355, 1\/3, -63 in increasing order.\nAnswer: -63, 1\/3, 355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2 - 148*s - 304 = 0 for s.\nAnswer: -2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - 5. Let p = 1065307 + -1065322. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59505879*i**4 + 74513703*i?\nAnswer: 714070548*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -78032.\nAnswer: 5\/78032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 42 = -14. Let i(h) = -2*h + 31. Let g be i(s). What is the greatest common divisor of 51 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 15*n - 5. Let j(c) = 30*c - 9. Let x(z) = -6*j(z) + 11*s(z). Is 7 a factor of x(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = -34 - 62 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -1\/3*f**3 - 71 + 0*f**2 + 0*f. Let a(l) = l + 1. Calculate h(a(g)).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m = 29655 - 106783. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*x - 7019, -x = 6*h - 5*h - 1407. Let i = x - 713. Is i a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 456573, 913134, 1369695, 1826256?\n\"Answer: 456561*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -602926\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.0229996\nAnswer: 0.0459992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*7\/8*6*(-48)\/56?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**3 - j**2 + 524 wrt j.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - -9. Let c be (12\/(-24))\/((-3)\/b). Solve c*x - x = 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 41 = -5*t, 6*t - 2*n = 2*t + 34. Calculate the common denominator of (-3)\/(-10)*t\/6 and ((-46)\/(-16))\/((-18)\/40).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 983, 937, 885, 827, 763, 693, 617?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 4*p)*(2 - 2 - 1)*(0 + 0 - p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 393387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(200))\/sqrt(10).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 + 62702*x - 3198380\/3.\nAnswer: 2*(x - 17)*(x + 94070)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-21))\/((-3)\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 98278?\nAnswer: -9827.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 51, 101, 175, 279?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-4) + (-345)\/(-460).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 2)*(-7*h - 8*h + 2*h).\nAnswer: 52*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4222851 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*g - 20*g = -23*g - 38*g. Solve -12*v + 5*v - 14 = g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28809, 28807, 28803, 28797, 28789, 28779, 28767?\n\"Answer: -q**2 + q + 28809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62560?\nAnswer: 2, 5, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 2\/7, -56184\/8599?\nAnswer: -56184\/8599","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5233853 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/3200988 and -155\/31164.\nAnswer: 22406916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/6 - 112\/(-96).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*40 + 4)\/(-1 + 2). Suppose -10 - z = -6*n. Suppose 2*w - n = -l, -l = w + 2*l - 7. Solve -4*q - 8 = -w*c, -5*q + 4*q + 4 = c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -18 - 9) + (-81 - -54)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywvwkwyvvvkw. Give prob of picking 1 k and 1 w.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 + -159 + -2 + 20 + -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.074747 (c) 9 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c + 1997245 - 2004921 = 0 for c.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times -56\nAnswer: 72.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus 14419800557?\nAnswer: 14419800550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (36\/(-21))\/2*-406 + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i + 4. Let y be r(-3). Let p = y + 8. Let o be p\/2 - (1 - 0). Is o >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*l - 17*l + 181*l)*(0 + 0 + 2) + (-1 + 2 + 0)*(2 - 2 - 2*l).\nAnswer: 278*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 374495601*k**3 - 901092097 wrt k?\nAnswer: 1123486803*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3148710832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 207.879 + -208. Let k = x + 0.121. What is the closest to k in 5, -4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 735 and 1680.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/11691 and -70\/33?\nAnswer: 128601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -68. What is the biggest value in i, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207850*d**2*t**3 - 106*d*t**3 + 29*d*t - d - 2*t**3 wrt d?\nAnswer: 415700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 49, 60, 85, 130, 201, 304, 445?\n\"Answer: z**3 + z**2 + z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 15 - 6 - 6 to y*l + n + t*l**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69543791609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23194*v - 40*v**2 + 25090*v + 41*v**2 - 92706*v.\nAnswer: v**2 - 90810*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 588*u**5 + 3*u**4 + u**2 + 108*u + 3. Let j(x) = -x**4 - x**2 - 7*x + 1. Let h(n) = 3*j(n) + q(n). What is the second derivative of h(t) wrt t?\nAnswer: 11760*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5730371923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnjnjjunjjjjjn. What is prob of sequence nn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -0*b + 4*b + 20, -4*b + 3*j + 8 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 7\/20, 5, 34, -3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7375 - 7374.98. Which is smaller: c or -88\/9?\nAnswer: -88\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 + 61*r**2\/2 - 12745*r\/6 + 4187\/2.\nAnswer: (r - 53)*(r - 1)*(r + 237)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -1296)*10\/20. Suppose -i - g + 218 = 0, 0 = -4*i + 7*i + 4*g - v. Are i and 224 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4480 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqz when four letters picked without replacement from {q: 5, z: 11}.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/45*-2 - 43\/(-15). Suppose o - 296 + 1348 = m*d, 2*d - 678 = -4*o. Is d a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12.3 (b) 6\/61 (c) -51 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -314, -554, -920, -1454, -2198?\nAnswer: -3194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/4 + 203*a**2\/2 - 41209*a\/4 = 0.\nAnswer: 0, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13409 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 85 = 60*x - 64*x, -x = -5*t + 55. Let h(s) = 13*s + 66. Give h(x).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -2. Let g = -11 - k. Let q = g - -21. Calculate the remainder when 8 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 - 866340*b\/7 + 187636248900\/7.\nAnswer: (b - 433170)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 304, 305, 306, 307, 308?\n\"Answer: a + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a century in months?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -122\nAnswer: 36.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*a + 4*z, -2*z + 0*z + 8 = 0. Let h = -30 + a. What is the second derivative of -5*d**3 + 6*d + 4*d**3 + 10*d**3 + h*d wrt d?\nAnswer: 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -44. Is 49 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23714 and 7858.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*i**2 - 277*i**2 + 146*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 1944 = 12*j. Calculate the highest common factor of j and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, o: 1}. What is prob of sequence mo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 2\/6)*3. Suppose -l*v + 44 = -54. Solve -v*g - 6 = -10*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 373 = -49*f. Let y = 6 - 0. Calculate the smallest common multiple of f and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -5) + 96\/2. Suppose -2*q = 4*n - 56, -3*n + q + q = -l. What is the highest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -16. Let i = 94 + -94. Suppose i = u*l - 10*l + 12. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*b**3*u**2 + 298*b**3 - 18*b**2*u**2 wrt u.\nAnswer: 18*b**3*u - 36*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = 4*x - 304, 0 = 3*c - x + 292. Let q be ((-27)\/(-12))\/(4\/c). What is q rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 2*d - 40, 41*d + 4*m = 46*d - 49 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18872)\/15165*20\/(-14).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 186 and -164860.\nAnswer: -164674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75526.\nAnswer: 2, 11, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/2 + -37\/6. Let r = j - -27\/2. Calculate the common denominator of r and 47\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -4*w - 13*v, w - 3*v + 91 = 82 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12918 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 2*n. Let r(q) = 73*q + 142. Let z be r(-10). Let m = z + 591. Sort m, n, 55.\nAnswer: n, m, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19514 divided by 22.\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(3\/18*2). Let s = -4 - w. Suppose -4*y = -n + y - s, 0 = y - 4. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-20) - (20643\/(-30) - -4). Let q = x - 663. Solve -q*o + 22*o = 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a2 (base 14) in base 7?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w - 5*p, -2*w + 4 = -3*p + 5*p. Let r be 234\/46 + 2444\/(-28106). Put 3, -1, w, r in increasing order.\nAnswer: -1, w, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5209 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 + -128 - (-2 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 - (-5 + -4 - -5). Let l(o) = 14*o - 2. Let q be l(2). Which is smaller: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9686.8792 to zero dps.\nAnswer: 9687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 5:24 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + 4 + -66 + 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1115586*y + 12 - 9 - 1115571*y - 3.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50943 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 605203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 97*x**5\/15 + 43*x**4\/2 + 220*x**2. Find the second derivative of d(n) wrt n.\nAnswer: 776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 645*o + 16301. Let w be y(-25). Calculate the greatest common factor of w and 6446.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-131 - -121) + 7 + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1790*z - 1776*z - 860174 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) -0.19 (c) -2\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 108*u. Let s(d) = -12*d**2 - 656*d. Let m(x) = 17*c(x) - 3*s(x). Factor m(i).\nAnswer: 2*i*(i + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8682 + -8084. What is the highest common divisor of p and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75833*s**3 - 27*s**2 + 62450157.\nAnswer: 227499*s**2 - 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = -32*v - 84 - 49 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:07 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439197.\nAnswer: 3, 11, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*b = -5, 0 = 4*q - 4*b - 0 - 4. Sort -6, q, 5 in increasing order.\nAnswer: -6, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 + 203 + 1 + -6 - (1 + 4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 24 = 23*u. Put u, 6, -2 in ascending order.\nAnswer: u, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/15)\/(6\/(-15))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2*g = -3*g - 15, -5*g - 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/60 + l**4\/8 + 102*l**3 - 22*l**2. Let h be j(0). Is (-2 - h)\/((-10)\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705253, 1410507, 2115759, 2821009, 3526257, 4231503, 4936747?\nAnswer: 5641989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.047 (b) 1 (c) 0.1 (d) 16 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 7. Let i(x) = 1 + 2 - 2. Suppose 0 = -15*k + 16*k - 3*u - 4, 3*k + u = 2. Determine k*p(c) - 4*i(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -87*y**4 - y - 1078?\nAnswer: -348*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 234304?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-24))\/(2*(-2)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let f(x) = -28*x**2. Calculate f(o(a)).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68850, 138209, 207568, 276927, 346286, 415645?\n\"Answer: 69359*r - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*-2 - 18\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41602449.135 + -66900.865. Let n = u - -41669329.999983. Let x = 20 + n. What is x rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3492 - -12300?\nAnswer: 15792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d = 978829 + 1118346. What are the prime factors of d?\nAnswer: 149, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5562 + 13930. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 106, 9, 4 in descending order.\nAnswer: 106, 9, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1016 - 1015.7. Which is the third smallest value? (a) 0.2 (b) -0.2 (c) x (d) 8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 8 = 4*i, -5*q - 10 + 30 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 20*x**2 - 21*x - 24. Let k(j) = -7*j**2 + 7*j + 8. Let i(p) = 17*k(p) + 6*r(p). What is the remainder when 39 is divided by i(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 10*h - 14845. Let m = 7019 - h. Let g be (-2000)\/(-15)*(0 - m). Round g to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 35. Let s be (220\/40)\/(1\/(-8)). Let m = d + s. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**8\/4032 - 11*r**5\/60 - 9*r**2. Let a(s) be the third derivative of k(s). Let g(b) = 3*b**2. Give a(g(u)).\nAnswer: -45*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1474839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc (base 13) to base 2.\nAnswer: 10101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**5\/60 + 25*h**3\/6 + h**2 - 619*h. What is x(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - n**2 + n + 8. Let s be f(0). Suppose 0 = -2*t - s, 3*t = -2*m + 2*t. Let r be (-4)\/(-10)*(3 - -47). Solve m*g = -2*g - r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1036*3\nAnswer: -3108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)*s**(-1\/20))\/(s**(5\/6)\/(s**(-10\/11)\/s)) assuming s is positive.\nAnswer: s**(-1579\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 265. Let y(b) = 3*b + 532. Give -7*t(s) - 4*y(s).\nAnswer: 2*s - 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 + 1. Let f(v) = -5*v**3 - 3*v**2 - 250*v + 2. Give 3*d(i) - f(i).\nAnswer: 2*i**3 + 250*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - p = 5 + 16, 4*q + 5*p - 28 = 0. Let x = -8 + q. Let v be 1 + x*(-3 - (194 + 2)). What is v rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2108? (a) 0.3 (b) 5 (c) 26 (d) -64\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwkjwijwpwkwwikk. Give prob of sequence kkkj.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136323\/5 or -5\/59?\nAnswer: -136323\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (28 + 7 - 26).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p**(-2\/9))\/(p**(-1\/9)*p*p\/((p*p**(1\/6))\/p)) assuming p is positive.\nAnswer: p**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63293906.00109 + -63293651. Let r = a + -255. Round r to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*f**3 + 27*f**3 - 63*f**3 + 0*f**3.\nAnswer: -153*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 11559793\nAnswer: 2311958.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475775 is divided by 96?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 570138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82 - -180?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -885 + -3a420?\nAnswer: -3aca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.92 - -0.08. Let u = j + -7. Which is the nearest to 0? (a) 0.1 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 10*y + 8. Let d be j(14). Let s = 47 - d. Let v(k) = -k**3 - 5*k**2 - 5*k + 1. Let p be v(-3). Do p and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by -36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 859350 or 0.8?\nAnswer: 859350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + 203\/4. Let a be 3 + (0 - 3) + 0. Suppose a = 7*u - 2*u - 5. Which is smaller: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279004.41 * -2.\nAnswer: 558008.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or -103122?\nAnswer: -103122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 88. Let i = -82 - p. Solve 0 = y + y, 4*f = i*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128100 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(sqrt(70) + 2*sqrt(70)))\/(sqrt(160)*-4*3).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 2 - 2 + (-17 - i + 17)*(11 - 5 + 10) to r*i + j and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8 + 5 + 1)\/(-7))\/((-20)\/(-14)). Which is the closest to 1? (a) 1278 (b) 0 (c) 3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.33007037 less than 0.199?\nAnswer: 1.52907037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 156 = 17*w. Suppose 9594000 = -w*z + 13*z. Round z to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -84. Let r = n - -3. Let t be (-2)\/(2*r\/34). What is the greatest common factor of t and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -186 - -182. Which is the closest to 0.1? (a) -6\/13 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1136*j + 112. Is 110 a factor of t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -44, -54, -94, -176, -312, -514?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, w: 2, x: 2, y: 3, j: 2, i: 4}. Give prob of sequence djix.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 151 + -151.0532. What is p rounded to three decimal places?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/147804 and -9\/16652584.\nAnswer: 49957752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 594*j - 13416.\nAnswer: -3*(j - 172)*(j - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 5.7 (b) -3\/2 (c) 1\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 64\/7 (b) 1\/9 (c) -0.1 (d) 0 (e) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2 + 35*v - 152. Determine o(15).\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2) + (1 - 2). Let w(m) = -m**2 + m. Let c be w(f). Suppose -3*o = -c*o - 9. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 1. Let g be z(-3). Let m be g\/9 + 215\/45. What is the greatest common divisor of 35 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v - 192 = 29*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2685295524 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10661*j**2*l**3 - 65105139*j**2*l - j**2 + 2*j*l**4 - j*l**2 + 877*l**3 wrt l?\nAnswer: 63966*j**2 + 48*j*l + 5262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 53*k + 59*k + 54*k + 60 - 224*k + 54 + 59*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = 4. Suppose 7*k - 10*k = -4*f + 1659, 5*f = -q*k + 2097. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3331*j + 7 - 4 - 3.\nAnswer: 3331*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2019 divide 126466122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 0*s + 4*s + 9774 - 9774.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118000?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 29 = -c, 4*c + 279 = -5*n + 389. Solve 7*a - 54 = c*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 0.025, 2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1901 (base 15) in base 6?\nAnswer: -41001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18 + 392\/63. Let n(z) = -2*z - 4. Let l be n(-3). Suppose o + l = 2*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2)*71 + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*173075\/15050\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/13189968 and 41\/8793312.\nAnswer: 26379936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -9\/10 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/3*1\/3*-10. Solve 0 = 2*b - 0*b - t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 6*g = 277*g + 30*g + 7749 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -832*v**3 + 2*v**2 - 48151*v - 18700506 with respect to v.\nAnswer: -2496*v**2 + 4*v - 48151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 2*d - 14, 3 = 4*n - d - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 divided by -1?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 1, k: 1, u: 1, v: 1}. What is prob of picking 1 y and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 6*i**2 - 1. Let f be s(-4). Suppose 4*x - f = 5. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 708 + -2664279398.82.\nAnswer: -2664278690.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 18. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*((4275\/6)\/5)\/(153\/68).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-10)*(-13)\/(130\/(-150)). Is d >= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o. Let j be y(-1). What is the derivative of -5 - 1 + 4*q**4 + j wrt q?\nAnswer: 16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 52 + 17*t - 84 + 53 + t**2. Let n be z(-14). Let b = n + 70. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1230*z + 1527*z - 51803 = -219*z + 49381 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 28*p**2 - 26*p + 15. What is the remainder when 779 is divided by b(13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0077533 rounded to 4 decimal places?\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 - 10*c**2 + 3. Let z be u(4). Let q = z + -33. Suppose -q*h = -12 + 20. Sort h, 23, 5, 4 in increasing order.\nAnswer: h, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**2. Let d(k) be the third derivative of -k**5\/20 + 9*k**2. Calculate d(o(q)).\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55050.03 years?\nAnswer: 660600.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-14))\/((-16)\/(-56)). Suppose -3*g = -v - 7*g - 14, 4*g + 16 = 0. Suppose 5*p + f = 168, -d*p + 3*f = v*p - 123. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 583.246355?\nAnswer: -583.646355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 1 = 3. Which is the nearest to r? (a) -0.5 (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*j**2 + 6*j**3 - 81*j**2.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.491 - -102.391. What is k rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(68) - sqrt(68))*3*-3 + 1 + (-6*(sqrt(68) + (0 + sqrt(68) + sqrt(68) - sqrt(68))) - -1*sqrt(68)*5))**2 + 1.\nAnswer: -280*sqrt(17) + 3433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 4\/3, 3\/5, 55, -3, -7?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12210436 (base 7) to base 12.\nAnswer: 449887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*l - 163*l + 5*h + 29 = 0, 0 = 3*h + 15. Are 3\/3364 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/50 and 23\/268.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.063 (b) 3 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38c (base 16) in base 2?\nAnswer: -1110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(380)*1)\/(sqrt(250) + (sqrt(250) - sqrt(250)*-2)))\/((-1*-1*sqrt(18))\/(sqrt(108)\/(-2*sqrt(12)))).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3792 divided by 948?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2249 + 7589 = 0. Let b = f + 1081. What is b rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -3*q**3\/2 + 5*q**2\/2 - 2001*q. Let a = 5 + -1. Let f(b) = -4*b + 2. What is a*u(c) - 10*f(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351415, -350362, -349309, -348256, -347203?\nAnswer: -346150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**3 - 6*m**2 + 7*m - 6. Let x(h) = h**2 - h + 1. Let j(z) = -s(z) - 6*x(z). Suppose 0 = 6*l - 25 + 31. What is j(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31931893 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 z(c) = -16 + 2 + 7 + 88*c. What is the tens digit of z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*c + 135*c + 412*c + 313*c - 82*c)*(c**3 - 2*c**3 - 4*c**3).\nAnswer: -3520*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3540\/4425)\/(32\/10)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 17 + 6*(-1)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 4)\/(5*1\/20). Let g = -0.2 + 0.4. Which is the nearest to 2? (a) g (b) k (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -1440.971\nAnswer: 30260.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 3, h: 1, i: 6}. What is prob of picking 1 h, 1 u, 1 i, and 1 d?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 796693041 to the power of 1\/2, to the nearest integer?\nAnswer: 28226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8598?\nAnswer: 2, 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yycy when four letters picked without replacement from cyyccccccccccccyyyc?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -54, -74, -94?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4140 and 7\/2484.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6 + 796\/12. Let a be (i\/77)\/((-1)\/(-21)). Suppose 6*h - 4*h = a. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78*532\/14820)\/((-8)\/50*(-90)\/4)\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*n = 85*n + 111738. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -187 + 347. Suppose b = 5*u - 15, -10 = -u - b - 1. Suppose 0*x = 3*o + u*x - 238, 3*x - a = -2*o. Calculate the remainder when o is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 3, v: 2, l: 1}. Give prob of picking 1 s and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -1780967.\nAnswer: -10\/1780967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4524 or -4525?\nAnswer: -4524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4*j - 50 = -78, 0 = 2*p - 69*j + 4*j - 143 - 375 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/6)\/(16\/96). Suppose 9*x + 25 = -n. Let d = -0.1 + -0.2. Which is the third biggest value? (a) -2\/3 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142937365.\nAnswer: 5, 1091, 26203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -27*h + 1650. Let y be w(61). Which is the second smallest value? (a) y (b) -5 (c) -4 (d) 0.1 (e) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/19))**15\/((z\/(z**(-5)\/z))\/z)**(-3) assuming z is positive.\nAnswer: z**(372\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 8*q**4 + 5*q**3 - 51*q + 5. Let y(r) = 9*r**4 + 6*r**3 - 52*r + 6. Let p(b) = 6*o(b) - 5*y(b). Find the second derivative of p(x) wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 11*k + 59. Let j be b(-14). Solve -1 - j = -9*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5418723?\nAnswer: 3, 1806241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzkvzzjskczjv. What is prob of sequence vks?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + k**2 + 5*k**2)*(2 - 2 - 1)*(1 - 3 + 3).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - 13*n - 3. Let w be v(-6). Let q be ((-3)\/(-6))\/(w\/36). Let k be ((-42)\/18 + 1)\/((-2)\/q). Solve -5*h - 11 = 3*c - h, -k = -2*c + 3*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/4 - 427*w**2\/4 - 15040*w - 700416 = 0. What is w?\nAnswer: -171, -128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5253104551 + 3?\nAnswer: -5253104544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 4*o**2 + 4*o**3 - 9*o + 8*o as i*o**2 + y*o**3 + c*o + j and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-4 + 2 + 4)*(2*u**2 + 3 - 3) + (-4*u + u - 2*u)*(2 - 2 - u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m**(-3)*m)\/m)\/m)*m*(m\/m**(-1\/8))\/m*(m\/(m**(-1\/7)*m))\/m**(6\/7))**(-32\/3) assuming m is positive.\nAnswer: m**(-404\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -1d?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (17 - (6 + 1))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 8. Suppose 36 = -4*z - 5*k + 3*k, 9 = -3*z + d*k. Let p(m) = 6*m**2 - 2*m - 7. Let r(x) = 5*x**2 - 2*x - 6. Determine z*r(o) + 6*p(o).\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 10. Let g = -3 - b. Calculate the least common multiple of g and 17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from ifxxbf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10734 is divided by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.670854 less than 7266910?\nAnswer: 7266875.329146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 0*j + 2*j)*(0*j + 2*j**2 + 0*j)*(-10 - 1 + 4)*(13 - 12*j - 13).\nAnswer: -504*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -127 in decreasing order.\nAnswer: -3, -11, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 6:27 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 9 = -8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**4 - 1 - 2*z**4 + z - z**2 + 7*z**4 as x + c*z**4 + m*z**2 + o*z**3 + f*z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11358720, -22717441, -34076162?\nAnswer: -45434883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, 0, 2, -1, 6 in decreasing order.\nAnswer: 136, 6, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15741 and 3975.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 175 - 228. Let v = k - -53.1. Let n = -17 + 25. Which is the smallest value? (a) 5 (b) v (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfstaatttfbfta. What is prob of sequence fsaa?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.91 in 3, -0.07, -14, -5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**2 + 13*j - 16. What is x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:57 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from lmlpjppplllmppmppl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4736919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15452 minus 12381?\nAnswer: -27833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8 - 56 = 0. Let c be ((-6)\/(-4))\/1*s. What is the highest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*h + 38, 0 = -c + 2*h + h - 14. Solve 15 = -5*l - 20*a + 21*a, c*l - a = -13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 2*l**2 + l + 7. Let d be r(0). Let u = 7 + -3. Suppose -13 = -u*t + d. Solve 2*p + 1 = 4*w - 7, -p - 7 = -t*w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285220*h**2 + 570447*h**2 - 285185*h**2.\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*n + 100, 2*n = -f + 71 + 27. Let w = f + -93. Solve -w*q + 0*q = -15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*a - 34*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1814579, 1814582, 1814587, 1814594, 1814603?\n\"Answer: b**2 + 1814578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 225*b - 40 = 227*b, 127 = -77*l + 4*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*x + 1580 = -146*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1845\/12 + (-3)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 36*g - 109. Let k(u) = -1. Let o(f) = -i(f) + k(f). Determine m, given that o(m) = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6259.215 to the nearest one hundred.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15949776*o**2 + 5*o + 15949814*o**2 - 31899584*o**2.\nAnswer: 6*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1920*s + 959*s + 962*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (0 + 2)) + 4. Let x(h) = h**3 - h**2 - 5*h + 2. List the prime factors of x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1040 = 45*j - 102*j - 47*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -3\/2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83903, -335586, -755057, -1342316, -2097363, -3020198?\nAnswer: -4110821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 367 - 368. Suppose 0 = 4*o - 7*o. Is p bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -657866*m - 546684 with respect to m.\nAnswer: -657866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(320) + sqrt(320) + 1 + -1 + sqrt(320))**2.\nAnswer: 288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -5*c - 15, -3*c + 5*w + 0 - 17 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/10 - 363\/30. Let f = 29 - w. What is the highest common divisor of 164 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25401300 (base 6) to base 5\nAnswer: -202341310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16715.07873 microseconds in weeks?\nAnswer: 0.000000027637365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 385518782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, o: 11, r: 1}. Give prob of sequence rbb.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 458999*o**2 + 3309*o + 23.\nAnswer: 917998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -6, -29, -84, -183, -338?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -140*r**2 + 5. Let q(j) = j**2. Determine q(z(u)).\nAnswer: 19600*u**4 - 1400*u**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0958 - 2.3042. What is the third biggest value in n, 10, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 3*j**2 - 3*j**2 + (6*j**3 - 2*j**3 - 3*j**3)*(-1 - 1 + 4) - 8*j**3 + 15*j**3 - 5*j**3)*(9*j - 9*j + 2*j**2).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i + 12*i + 13*i - 38*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 49 (c) -3 (d) -0.1 (e) -0.5 (f) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 2. Let h be t(-1). What is the first derivative of -33*z**4 - 46 - 100 + 44*z**h + 32*z**4 wrt z?\nAnswer: -4*z**3 + 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -8060604?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 25 = 0, -5*g = -3*v - 4*g + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55708597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {k: 3, o: 2, i: 2, v: 1, m: 9, a: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 942000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 968\/(-18) - 18\/81. Let u be p\/(-5)*20\/8. Let f be 9\/u + (-2)\/(-48). Sort -1\/2, 5, f in ascending order.\nAnswer: -1\/2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*f + 18*f - 110 + 92, 3*n + 33 = 4*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, -963, 201 in increasing order.\nAnswer: -963, -3, 1, 5, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1\/2 (c) 4\/5 (d) 4\/7 (e) -235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 48862*0.049\nAnswer: 2394.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 428*u**3 + 444*u**2.\nAnswer: 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92622 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -348612 at most -348620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 times -0.14?\nAnswer: -84.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 1. Let l be r(-8). Suppose -5*p - 5*d - l = 0, 4*p + d - 4*d = 1. Does 12 divide ((-40)\/6)\/(p\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3224*i**2 - 1872*i. Let p(n) = -179*n**2 - 104*n. Let l(q) = 5*k(q) - 91*p(q). What is the second derivative of l(v) wrt v?\nAnswer: 338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2126.379 * -5.\nAnswer: -10631.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32777 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 - 1448*d**2 - d + 2. Let y(g) = -5*g**3 - 1449*g**2 - g + 3. Determine -3*v(s) + 2*y(s).\nAnswer: 2*s**3 + 1446*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 24*u - 29. Let w be p(20). Which is greater: 50 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403683?\nAnswer: 3, 7, 47, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31512 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, 2681, 10882, 26827, 53090, 92245, 146866, 219527?\nAnswer: 312802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 56. Is v > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - -249886792031.\nAnswer: 249886792069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38996918 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -30. Let o be 2\/4*(-21 - j). Solve -i + 4 = o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**5\/60 - 4*v**2. Let q(x) be the first derivative of 17*x**3\/3 + 3. Calculate q(b(z)).\nAnswer: 17*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**6\/5 + 9*a**2\/2 - 5*a. Differentiate v(f) wrt f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -4*u**6\/15 + 7*u**5\/12 - 6*u**2 - 16. Let t(f) be the second derivative of k(f). Find the third derivative of t(l) wrt l.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 9*g**8\/14 + g**4\/4 - 19*g. Find the third derivative of k(o) wrt o.\nAnswer: 4320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -134*i - 138*i**2 - 131*i + 47*i**2 + 264*i. Let b(k) = -k**2. Determine b(d(l)).\nAnswer: -8281*l**4 - 182*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Let b = c - 5. Which is smaller: b or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59.9 + 18.3. Let q = r - -345.6. Let v = q - 303.839. Round v to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/3))\/y*y**(-2)*y)**(2\/31) assuming y is positive.\nAnswer: y**(-8\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 14*c - 15. Let s be q(1). Suppose 2*t = 3*h + 435, 4*t - t - 655 = 2*h. Let m be t\/((-3)\/s) + 2. What is the highest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5114, -7251, -9388, -11525?\n\"Answer: -2137*z - 2977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 + 2119208*k - 561380318408 = 0. What is k?\nAnswer: 529802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-23 - (-24 + 14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5 + 59*y**4 + 881*y**3 + 3885*y**2 + 5400*y = 0. Calculate y.\nAnswer: -5, -3, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-4 + 3 + (-2 + sqrt(5) + (sqrt(5) - sqrt(5)*-1) + sqrt(5) - -6*(sqrt(5) + 2)))**2.\nAnswer: -780*sqrt(5) + 4669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) 2 (c) 2\/29 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4795361g to tonnes.\nAnswer: 0.0000004795361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70 and 1456.3.\nAnswer: -101941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*p + 7*p + 3*p + 9 - 3*p wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*((w*w**0)\/w)\/w*w*w**(2\/19)*w*(((w*w**4)\/w)\/w*w)\/w*w**1*w assuming w is positive.\nAnswer: w**(135\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1000, 2013, 3028, 4045, 5064, 6085?\n\"Answer: y**2 + 1010*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -230 - -393. Let m = -151 + x. Let s be 4\/2*65 + 2. What is the highest common divisor of s and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 5:13 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13434431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26153 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 1\/4 (c) -0.7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28034 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/1)\/(-2 - -3). Suppose 0 = 5*p + 25, 8*s - v*s + 5*p - 50 = 0. Let y(o) = 28*o - 9. Let z be y(3). Calculate the highest common divisor of s and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from xcxcccou?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4395541 to the power of 1\/2, to the nearest integer?\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/531180 and 11\/534144?\nAnswer: 1818760320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 70?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let u be ((-1)\/(1 - -3))\/(78\/(-936)). Sort p, -5, u, -17.\nAnswer: -17, -5, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23927597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((3 + 5)\/(-4))\/4. Let s(q) = 8*q + 21. Let a be s(d). What is the first derivative of 1 + 0*h**3 - a*h**3 + 20 + 9 wrt h?\nAnswer: -63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75766061 a multiple of 1129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12512380 and 10?\nAnswer: 12512380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1294 = 2*l - 810. Suppose -n - 279 = 3*r - l, 5*r - 1287 = -n. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55381924 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12665 at least as big as 12676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6 - 6*g**2 - 19*g + 2 + g**3 + 14*g + 0. Calculate l(5).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 3*r + 5, -6*q + 11*q + 15 = 5*r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 160. Let x = 79 - j. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2. Let m(t) be the first derivative of -2*t**4\/3 - 20*t - 4. Let q(p) be the first derivative of m(p). What is w(q(r))?\nAnswer: -64*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 37. Let z be s(-21). Calculate the highest common factor of 12 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194148 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a. Let h(f) = 45*f**2 + 77 + 20 - 97. Give q(h(j)).\nAnswer: 450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/36)\/(4\/596) and -3\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -134168.757 and 0.241.\nAnswer: -134168.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5\/4 + 7*t**4 + 53*t**3 + 97*t**2\/2 - 981*t\/4 - 495\/2 = 0?\nAnswer: -15, -11, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {h: 3, t: 2, f: 5, d: 3, q: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2163 and 0.4.\nAnswer: 2163.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:29 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*l + 288*l = 128*l - 135 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552027 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**3 + p**2 - 2*p + 1. Let y be (-1 - (0 + -2))\/1. What is h(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113032517?\nAnswer: 13, 29, 53, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (450\/(-6))\/(5\/(-2366000)*-3). Round r to the nearest 100000.\nAnswer: -11800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*q + 94. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**7\/360 + p**4\/6 + 2*p. Let b(d) be the third derivative of i(d). Let w(a) = -54036 + 54036 + 2*a. Calculate b(w(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 + 38*m + 77. Determine c(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -14123*a - 56488. Determine p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490227734 a multiple of 1842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 2*x**2 + 28 - 2*x**2 - 6*x**2 + 4*x**2 + 17.\nAnswer: -2*x**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/8 of a millennium?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 68*x - x**2 - 65*x. Let o be 2\/4*(-3 + 5). Suppose -2*a + 5 - o = 0. What is s(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/8))\/(l*l**(-3\/8))*(l*l**2\/l)\/(l\/l**(-14)*l))**(-6\/13) assuming l is positive.\nAnswer: l**(81\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 4, o: 3, y: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, l: 3}. What is prob of sequence lnnl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 401*m**2 + 6. Let s(b) = -2*b - 10 - 14 + 29 - 5. Calculate s(u(p)).\nAnswer: -802*p**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-122)\/(-798) - ((-70)\/735)\/(-2)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4\/2 - 2088*k**3 - 1061124*k**2 - 232812000*k - 18648375000 = 0. What is k?\nAnswer: -446, -250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 + 117 - 56 - 9*l + 8*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81038 divided by -13642.\nAnswer: 40519\/6821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1309626*f**3 + 16*f**2 + 748*f - 81 wrt f?\nAnswer: 7857756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 + 3*o. Let y(u) = -10*u**2 + 5*u. Calculate 5*p(a) - 3*y(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - n = -12, h + 4 = -n - n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**4\/7 + 87639*s**3\/7 - 239969269*s**2\/7 - 270065400*s\/7 - 30008484\/7 = 0 for s.\nAnswer: -1, -1\/8, 5478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utmmvtrv. What is prob of picking 1 m, 1 t, and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-322)\/(-23) - ((-86)\/(-11) - -6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-36))\/((-6)\/27). Let y(x) = -x**3 - 11 - c + 6 + 3*x**2. Let t be y(2). Put -4, t, 3 in decreasing order.\nAnswer: 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*b**6 - 104*b**6 - 125*b**2 - 144*b**2 - 161*b**5 + 208*b**6 - 99*b**5 wrt b.\nAnswer: 120*b**3 - 15600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 5*c - 5*c**3 - 15*c**2 + c**3 + 13*c**3.\nAnswer: 5*c*(c - 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-14))\/(t*t*t\/(t*(t*((t*(t**(-2\/43)*t)\/t)\/t)\/t)\/t*t*t)*t) assuming t is positive.\nAnswer: t**(557\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -5*i**9\/3024 + i**6\/45 + i**3\/3 + 1. Let h(p) be the third derivative of v(p). Find the third derivative of h(o) wrt o.\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*j**4 + 7171*j**3 - 2*j**2 + 7*j - 426 wrt j?\nAnswer: 96*j + 43026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9 = -5. Suppose -q = -2*a - 365, -2*a + 2*q + 356 = -h*a. Let o = -87 - a. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 + (2 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.979072252 to 2 dps.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n**3 + 6*n + 4*n**3 + 13*n**3)*(10 - 9 + n - 2*n).\nAnswer: n**4 - n**3 - 6*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 4*k**2 - k + 3. Let g = -15 - -21. Suppose 3*s = -g, -12 = -5*w + 5*s + 3. Let b = w + 3. What is f(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*m = 3727 + 2543 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/47850 and 59\/51.\nAnswer: 813450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4\/2 + 31*p**3 + p**2\/2 - 31*p = 0?\nAnswer: -1, 0, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -160915.111 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.0593 - 0.0593. What is the fourth biggest value in -4\/7, -1, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**2\/2 - 6. Let y(p) = 17 + 5*p**2 - 17. Give l(y(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 327389 and -0.5?\nAnswer: -163694.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 2. Let s be i(-5). What is the first derivative of 3 - 3*x**s + 4 + 0 - 5 wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85834641 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 8*a**2 + 2*a - 12. Let s be m(8). Suppose s*c + 12 = 2*c. Let w = -4 - c. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 12*o**4 - 7827*o**3 + 1161108*o**2 + 2059908*o - 587424 = 0?\nAnswer: -2, 1\/4, 232, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -129977053.9.\nAnswer: -129977054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9*b. Let w(d) = -7*d**2. Let k be w(-1). Let x be (k\/21)\/(1\/15). Let z(i) = -5*i. Give x*z(m) + 3*v(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let t be v(-4). Let f be 10\/(-4)*t\/40. Let k = 4 + -4. Which is the closest to -1? (a) f (b) 3\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 825840 divided by 666\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-280)\/32)\/5).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 857*g = 859*g + 14, -j = 5*g + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 5. Let q be (c + -3)\/(8\/(-4)). Which is greater: -2\/47 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157518?\nAnswer: 2, 3, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, n: 1, l: 1, z: 3}. What is prob of sequence zzl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*i**2 + 61*i**2 - 42*i**2 to the form d + u*i**2 + s*i and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10686 bigger than 10685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 243 - 242.9. Let p(k) = -k**2 - 3*k. Let n be p(-2). Suppose -n*t = -y + 4*y + 6, 2*y + 8 = 0. What is the biggest value in t, z, -2, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6) + (-17835)\/72. Let o = 248 + f. Is o <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t, 0*x + 4*x = -4*t - 52. Suppose 0 = -2*d + 6*d - 40. Let q = d + x. What is the second smallest value in -1\/2, 4, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-20)*(44\/8 - 8).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-2))\/(2\/(-4)). Suppose -20 = j*h - 3*h. Is 18 a factor of (6\/(-8))\/(h\/120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 99.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -261 + 120. Let q = 67 - s. Let u = q - 210.51. Round u to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 432 = -31*z. Let n = 97 - z. Let k = -1 - -8. What is the smallest common multiple of n and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7826513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 18 = -60*i - 129 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 4*r - 6. Let a be h(7). Suppose -j + 21 = -3*s - a, -3*s - 5*j = 18. Let f = 20 + s. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19b0e6f - -12?\nAnswer: 19b0e81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139.55235ms to minutes.\nAnswer: 0.0023258725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2 - 5566*n - 7745089 = 0.\nAnswer: -2783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 6*l = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34508632 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2015, -2053, -2091, -2129, -2167?\nAnswer: -2205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110668064 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-3)\/6)\/((-10)\/4). Suppose -8 - 7 = 5*r, 0 = 4*v - 4*r - 20. Suppose 0 = -m - v*m + 6. Which is the closest to f? (a) m (b) 2\/9 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 10:49 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/15 - 2878*b**2\/15 - 68928*b + 69120.\nAnswer: -2*(b - 1)*(b + 720)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 - 9*r**3\/4 - 25*r**2\/4 + 33*r\/4.\nAnswer: r*(r - 11)*(r - 1)*(r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*p + 85504799 = -987245101. Round p to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v + 5*i = 127, 4*i + 44 = 2*v. Let h = v + 9. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 27, 58, 101, 156, 223, 302?\n\"Answer: 6*o**2 + o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -89. Let a = -52 + x. Calculate the common denominator of a*(132\/(-32) + 4) and -97\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 - 195 - 51)*(-32 + 32 - 9*a**2) as y*a**2 + r + h*a and give y.\nAnswer: 1953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 - 33) + -40 - -28.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1001*d**5 + d**2 + 203 wrt d?\nAnswer: -60060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 2*z - 1. Let y be u(-1). Suppose 0*t - 5*t + 590 = y. What are the prime factors of t?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1594 and 33.6.\nAnswer: 53558.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1207 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -9*v + 438. Let a(q) = -q**2. Give a(r(s)).\nAnswer: -81*s**2 + 7884*s - 191844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*k = -i - 15, 2*i = -k + 3. Suppose 3*p - 5*p = -4. Is p > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l - l)*(-2*l**3 - 3*l**3 + 4*l**3) - 14 + 14 + 3*l**4 + 5*l**3.\nAnswer: 5*l**4 + 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5391 - -8627. Let t = r - 106849\/33. Let y = 139\/2 - 1943\/30. What is the common denominator of y and t?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoob when four letters picked without replacement from ohhbo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 7*u**2 - 7*u - 2. Suppose 0 = -z + 4*q + 14, 5*z - 3*q + 13 = -2. Let o be f(z). Suppose -o*d - 318 = -10*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1242 + -1756. Let u = 444 + q. Which is bigger: u or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -442062114*n + 313482022.\nAnswer: -442062114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 10*j**2 - 4*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20))**(-29) assuming j is positive.\nAnswer: j**580","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -6. Let d = 7.89 - y. Let h = -0.15 - d. What is the third biggest value in 1, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01380560744 rounded to four dps?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 3*w**2 - w + 4. Let y(a) = -2*a**3 + 4*a**2 - a + 5. Let h(u) = -5*b(u) + 4*y(u). Calculate the remainder when h(-2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446785 is divided by 1202?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.8, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/4, -22\/3 in decreasing order.\nAnswer: 1\/4, -2, -22\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**3\/3 - 9*r**2\/2 + 5*r - 26. Suppose -4*q + 40 = 16. Let s be q - (4 + -4 + -1). Give i(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Let j(o) = -78*o - 3. Let x be j(-2). Suppose 5*q - x = -h*k, -k + 2*q + 19 = -16. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5114 + 311486?\nAnswer: 316611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/224495 and 103\/70.\nAnswer: 3142930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 5:46 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(153) + 2*sqrt(153))*-3*6)\/(sqrt(900)*2*3 + (sqrt(900) + sqrt(900)*-1)*3))**2.\nAnswer: 12393\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1377 + -1012.3. Let s = 365 - o. What is the third smallest value in 1, s, -2\/3, -13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236 and 33394.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 68*s - 63. Let k be a(1). Let f = 14 + -7. Suppose k*h - 3*h + 2*b = 14, -4*h + 3*b + f = 0. Solve -h*q - x = 9, 2*q + 4*x - 3 = 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 11:15 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 241493*v**3 - 5*v - 241461*v**3 + 6*v - 3*v**4 - 2*v**2 in the form z*v**2 + m*v + u + k*v**4 + l*v**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 43*b - 3*b**3 + 7*b**2 - 44*b + 2*b**3 + 7. Let v be g(7). Let d = 786 - 784. Solve v = -5*o + 4*o + d*h - 8, -20 = -5*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/8*(-2)\/(-10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1052*g**2*s**2 + g**2*s + 3*g*s**2 - 454 wrt g?\nAnswer: -2104*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*j + 6061 = -1647 - 8248 + 3860 for j.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7696.345us to milliseconds.\nAnswer: 7.696345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5, 0.03, 1210.4, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (0 - -2) + 3. Let m be -1 + u - (-4)\/50. Let t = 3.3 + -3.4. Which is the smallest value? (a) m (b) 2\/13 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**9\/504 + 39*c**6\/10 + 109*c**5\/60 + c**3\/3 + 1673*c**2 - 1. Find the third derivative of l(b) wrt b.\nAnswer: -120*b**3 + 2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:01 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 minus -3246914.5392263?\nAnswer: 3246914.5802263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by -1.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -10012?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426, 1030, 1790, 2706?\nAnswer: 3778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -78) + (-297 - -236).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036419 decades in millennia?\nAnswer: 0.00036419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.5453294 rounded to one dp?\nAnswer: -32.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**2 - 8*j - 57. List the prime factors of l(15).\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*h = -7, 5*u + 5*h + 8 = 3. Let d = u + -1. Let f be (-4)\/(-2) + (4 - d). Solve f*o - 4*w + 11 = 0, 0 = o + 3*o - w + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 + 5*w**2 + 5*w - 1. Is b(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 - 2 = 0. Let w = y - -5. Suppose -3*z = -2*k - z, -5*k = -w*z - 2. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 6:01 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -223\/4*o**4 + 21\/2*o**2 + 282 - 1\/3*o**3 + 0*o. Find the third derivative of p(n) wrt n.\nAnswer: -1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -2)\/((-1)\/29). Let v = w + 33. Solve -v*m = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13271*u = -987*u - 184260 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*1)*6*5)\/(sqrt(400)\/sqrt(4)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(3\/6*2). Let c = 10 - r. Let n be (-3)\/((-4)\/((-32)\/(-6))). Calculate the greatest common divisor of c and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 97. What is the remainder when x is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(8 + 9 - 1)*(6*m - 8*m - 12*m).\nAnswer: -224*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16490*f**4 + 16846897.\nAnswer: -65960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m**2 - 61*m - 616. What is n(-11)?\nAnswer: -1518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 36 = -10*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0.06. Let s = 0.01 + u. Let f = s + 4.05. What is the nearest to 1 in -0.1, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 94, -9, 1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73923\/10 - 7400. Calculate the common denominator of (-185)\/16*12\/30 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 + -2. Suppose -a = -2*s + 184, -3*s + 4*a = s - 360. Let n = g - s. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139 - 137. Solve f*u - 2 = -6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6*u + 20 = 0, -3*a = -4*u - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = 5*v - 3*j, -5*v - 2*j + 6*j = 168. Let g = v - -32. Solve -2*n = -g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*x - 572*x + 1817 = 0 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 4*y**2 - 2*y + 3. Let z be p(3). Let o be -15*3\/(3 - z). Solve -5 = 4*t + l, -2*t - 4*l = -7*l - o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 2, 11, 20, 29?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*z + 628*z - 1245*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60 or -805612?\nAnswer: -805612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -18. Suppose -p - 110 = 8*n. Let y be ((-4)\/n + (-36)\/(-21))\/2. What is the highest common factor of 11 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40341420 (base 5) to base 6\nAnswer: -10542454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -18*m - 101 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 29043*c**2 + 843147225*c\/2 - 5063066406.\nAnswer: (c - 12)*(c + 29049)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 509*s**6 - 134*s**2.\nAnswer: 61080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 46 = -5*j + 9*c, -2*c = -2*j + 12. Is j greater than 55\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-36)\/45 - (-839876)\/95.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 - -37. Let f = 8 + -5. Sort f, t, 4 in decreasing order.\nAnswer: 4, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4 + 295590*d**3 + 21843953197*d**2 + 87372265740*d + 87371083396 = 0?\nAnswer: -147793, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = 2*t - 18, 0 = -3*t - 3*j + 18. Let o(q) = -q**3 + q - 2. Let s be o(t). Let x(i) = i**2 + 6*i - 8. Is x(s) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -20*o + 48 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-261)\/(-15) + 3\/5. Let f be (-4)\/o + (-16)\/(-72). Find the third derivative of -2*z**3 + f*z**2 + 2*z**3 - 3*z**2 - 2*z**3 wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c - -18a19d?\nAnswer: 18a121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3, -121, 11 in descending order.\nAnswer: 11, 0, -3, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22237 (base 14) to base 11.\nAnswer: 571a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 32*r = 54 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22053.1 and -35103321.24.\nAnswer: -35081268.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/1245559 and 58\/1601433.\nAnswer: 11210031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*a**3 + 23*a**3 + 15*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-10))\/(((-9486)\/(-155))\/(-9)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1148*j - 14 = 1146*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 1\/80*j**5 + 0 + 0*j**6 + 0*j**3 + 0*j**2 + 0*j**4 + 2*j - 1\/168*j**7. Factor w(q).\nAnswer: -q**3*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**2 + 18*l + 14. Let g(y) = 3*y**2 + 4*y + 3. Let h(j) = -2*a(j) + 9*g(j). Let r(i) = 17*i**3 + 4*i**2 - 4. Give -4*h(w) + r(w).\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30789?\nAnswer: 3, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 l when three letters picked without replacement from {o: 7, l: 2, b: 4}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 5. Let u be w(-2). Let b be (0 - -2) + u + 2. Solve 1 + 2 = -b*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*h - 40, 5*o - 3*h = 10 + 38. Suppose 3*n + 0*n = o. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001 (base 2) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 r when three letters picked without replacement from {h: 3, r: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/5 - 19522*y\/5 - 1119252\/5 = 0.\nAnswer: -57, 9818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-24)*12\/(-14). Which is the nearest to -2\/5? (a) 0.4 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -103\/12 in 24, -3, -2\/7, -51?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45232, 45238, 45248, 45262?\n\"Answer: 2*g**2 + 45230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/51*8*(-53)\/2120?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4883*n**3 + 2570.\nAnswer: -14649*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -17137956?\nAnswer: 5141386.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003203 rounded to 5 decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73115 and 526428?\nAnswer: 2632140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = -3*n + 4, 1 = 3*l - 5*n. Let k(i) = -3*i - 1. Let t be k(-1). Suppose -t*y - 3 = -3*y. Calculate the remainder when y is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -158*f - 5052. What is z(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 7. Let m = 0.9 - -4.1. What is the third smallest value in 0, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**5\/190 - m**4\/114 - m**3\/57 + m**2\/19 + 21*m - 9. Let f(i) be the first derivative of s(i). Let f(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 987, 1997, 3009, 4023, 5039?\nAnswer: 6057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x**2 + 6*x + 4. Let w be h(-2). Solve 3*i + 5*v - 10 = 0, -w*i - 2*v - 10 = -0*v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7241896 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: Suppose p + 4 = 7. Let g be ((-32)\/(-6))\/(p\/54). Suppose -4*j = -g - 8. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-54)\/(-57))\/((-48)\/144). Put 0.1, 1\/2, -0.5, q in increasing order.\nAnswer: -0.5, q, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from zmqhhhqqqqqaqqzhmh.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1481 = 12616*k + 12021 + 2076 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(891)) - sqrt(891) - (-1*(0 + sqrt(11)) - -3*-1*sqrt(11)))**2.\nAnswer: -496*sqrt(11) + 10635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(405))**2.\nAnswer: 21870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212*d**5 - 6*d**4 - 2*d**3 + 6109*d**2.\nAnswer: 12720*d**2 - 144*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 8871?\nAnswer: -1774.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 16*x**2 - 11*x + 473. Give u(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11128*b + 66998. What is w(6)?\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/3 - 0) + (-13206)\/1209?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1 (b) -0.4 (c) 0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -14. Let q = 6 - u. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/7860 and -31\/181035.\nAnswer: 94862340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/20 - 34\/(-8). Suppose -3*b + 4*f - 9*f = -130, q*f = b - 70. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19047 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.333 + 0.064. Let g = k - 0.031. Is g less than 2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + 6 + -1 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*y - 3*a - 6, -4*a - 10 = -5*y. Suppose -21 = -19*j + 12*j. Let g be ((-20)\/(-25))\/(j - 56\/20). Solve -2*l + 6*l - g = 0, 3*l + 3 = y*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -20. Let g be ((-18)\/(-27))\/((-1)\/f). Solve 6*r - 5*r = -g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**4\/24 + k**2. Let i(l) = -l - 1. Let q(y) = y**2 - y - 1. Let b(h) = -i(h) + q(h). Determine b(w(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 3 (b) 4\/3 (c) 2\/15 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 2*f + 2*f + (-f - 2*f + f)*(1 - 1 + 1) + 2*f + 2*f - 6*f + (0 + 0 - 2*f)*(2 + 1 - 4) + 5 - 3*f - 5 in the form u*f + d and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -526*f - 18. Let r(u) = -175*u - 6. Let m(x) = -5*n(x) + 14*r(x). Let q be m(7). Is 2\/((-3)\/q*-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.109 or 9.9?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(1 - 3))\/2. Suppose -3*s - 176 = 2*t, 3*t - 164 + 421 = -s. Let p = t - -89. Solve 4*g + v = g - f, -4*g = 4*f + p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 10. Let m be d(6). Let z(c) = -2*c + 5. Let i(y) = y - 2. Let p(h) = -5*i(h) - 2*z(h). Give p(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(64\/(-72)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43684300 divided by -83050?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249045.49 rounded to the nearest 100?\nAnswer: -1249000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -763065 plus 17.1?\nAnswer: -763047.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -194, -543, 1 in decreasing order.\nAnswer: 1, -14, -194, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {m: 1, z: 1, j: 1, p: 2, b: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.22 - -1.2353. What is k rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2992 and 73\/2992?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 310 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -737.129 to the nearest ten.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(1872) - sqrt(1872)) + -2*sqrt(1872)*1 - (1*sqrt(1872)*-6 - (0 + sqrt(1872) + sqrt(1872))*4))**2.\nAnswer: 1364688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 2*r**2 + r. Let x be m(-2). Suppose 0 = -2*f + 20 - x. Suppose f = 5*y - 63. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -2 + 1\/12*z**4 + 0*z + 7\/30*z**5 - 1\/6*z**2 - 7\/18*z**3. Find x, given that c(x) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5*x + 24\/5*x**2 + 0 + 6\/5*x**4 - 21\/5*x**3.\nAnswer: 3*x*(x - 1)**2*(2*x - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124087 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: Suppose -v - 2 = -4*l + 1, -6 = l + 2*v. Suppose l = -4*c + 22 - 2. Suppose -j + 52 = 3*j. Solve 3 - j = -c*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 0*b + 2*b)*(-1 + 3 - 1).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026022 rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 15*y**5 + 355*y**4 + 555*y**3 + 105*y**2 - 110*y = 0.\nAnswer: -22, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3038118261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 265738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 21*q + 34. Suppose 0 = f + 5*m - 32, -2*f - 2*f - 5*m = -98. What is the remainder when 45 is divided by u(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 286 + 41. Which is greater: -205\/6 or m?\nAnswer: -205\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and 693450?\nAnswer: -15255900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -22. Let a = y + 20. Suppose -4*p + a = 6. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/19 (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2680\nAnswer: 1\/2680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20 - -3414?\nAnswer: 3374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 75, -0.2, 3, -2\/5, -2\/3 in ascending order.\nAnswer: -2\/3, -2\/5, -0.2, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + (-9 - -2))*(-10 + 9). Suppose 0 = -2*a + u*a + 2*m - 76, 2*a = -3*m + 54. What is the remainder when 117 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 3*m + 752 + 2295, -8 = 2*m. Let p = w - -804. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -2020212022?\nAnswer: -2020212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19032*s**4 + 3487*s + 3 wrt s.\nAnswer: 228384*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7450 + 2321?\nAnswer: -5127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 1\/7 (c) -0.3 (d) -40\/13 (e) -0.22 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5 + 5 - 1 + 7*p. Let o be d(-3). Is 3*(-4)\/o + 292 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174585438 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 28125*t**3 - 25125*t**2 - 2920*t - 80 = 0.\nAnswer: -4\/75, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -184.01 - -185. Let x = 0.01 + k. Let j = x - 1.2. Which is greater: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(13) + 1*sqrt(1872) - (1 + sqrt(39)\/sqrt(3))).\nAnswer: -48*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 35*p**2 - 258*p - 426. Give t(23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Divide 282 by 94.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.986463t in grams?\nAnswer: 2986463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512140 is divided by 10669.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*c + 18*c - 23*c)*(-c**3 + c**3 + 2*c**3 + (-2 + 2 - 2*c**2)*(-2*c + 2*c - c)).\nAnswer: -124*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17692 is divided by 4319?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.12. Let a = f + 0.12. Let d = -0.1 + -0.1. What is the closest to -1 in 3, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c + 1312 = 1483. Solve -c*k - 91 = -64 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3322 is divided by 140?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**2\/2 - 10*p + 3. What is i(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 2*b - 1. Let j(p) = -8*p**2 - 14*p - 7. Let z(t) = 5*j(t) - 35*k(t). Let m(i) = -i. Give m(z(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -223 - -895\/4. Let q(v) be the first derivative of j*v**4 - 4\/3*v**3 - 2 + 0*v**2 + 0*v. What is the third derivative of q(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5 - 8*r**4 + r**3 + 3 + 2*r**4 - 3*r**4 + 3*r**4 - 29*r - 32*r**5 - 11*r**2 wrt r?\nAnswer: -1800*r**2 - 144*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 228.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - -29. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1\/(2\/(40\/5)) - (-104632)\/22 and 170.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + (-15 - 27) - (15 + 0 + -3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*l - 4795, 4*l + 1253 = 4*b - 2587. What are the prime factors of b?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -27, -51, -77, -105?\n\"Answer: -u**2 - 19*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) -17\/5 (c) -0.17 (d) 4\/49 (e) 9\/23 (f) -0.1 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18809, 37670, 56533, 75398, 94265, 113134, 132005?\nAnswer: 150878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**6*k)\/k**8*k*k\/k**(3\/2)*k*k\/(k*k\/(k**(-1\/2)\/k)))**(-49) assuming k is positive.\nAnswer: k**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**3\/3 + p**2 + 3*p + 4. Let n be h(0). Solve -12 = n*a - 6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-2))\/(-138))\/(-21 + (-376)\/(-18))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r + 1. Let t be n(-3). Let v = -26 - t. Calculate the remainder when 35 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744343 is divided by 3679?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 12) in base 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (9 + 3) - (-1 - 10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0) + -12 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)\/(w**(-3\/11)\/w)*(w**(-1\/3))**(-3\/8) assuming w is positive.\nAnswer: w**(-669\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*t + 1421*t + 274455 = -493*t - 243*t for t.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**7\/70 + l**5\/15 - 3*l**2. What is the third derivative of m(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10352?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p + 308. Let c be b(-44). What is the nearest to c in 3\/7, 1, 0.2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91167 is divided by 2587?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 163961135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -n - 4*q, -13*n - 8 - 18 = -n + 2*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*w**2*y**2 - 68*w**2*y - 1629*w**2 + 475*w*y**2 + 20*w*y + 14*w - 2*y - 1 wrt w?\nAnswer: 176*y**2 - 136*y - 3258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, -3401, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20705 - 20700. Solve -22 = 2*r - j*l, -4*r + 11*l - 12 = 9*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1751 + -1750.2955. Let l = 0.544 - h. Let v = l + 10.1505. What is v rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -4*k**7\/1365 - 37*k**6\/780 - 23*k**5\/130 - 43*k**4\/156 - 7*k**3\/39 - k**2 + 156. Let f(a) = 0. What is a?\nAnswer: -7, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/8))**(7\/5)*(p**(1\/10)*p)**(-5) assuming p is positive.\nAnswer: p**(-157\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/20411?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from zdszzbnz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257 + 257 + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1340721423.\nAnswer: 3, 1619, 30671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -65434202 * 3\nAnswer: -196302606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(w - 4*w + 4*w) + 0 - w + 0 - 3*w + 3*w - 2*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 4 + 0 + 1 + -5. Calculate the greatest common factor of 4 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.75 + -4. Let k = -3289.25 + 3287. Let p = k - b. What is the closest to 0.1 in -0.01, 4, p?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87487 is divided by 86871?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3424 + 3430 + 3445 + 3389 + 3427 - 4*d - 17115.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) -2 (b) -1\/5 (c) -9.62 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 3*d**2 - 6*d - 5. Let g be v(-4). Suppose g*t + 0 = 6. Suppose -2*w = 4*j + t, 4*j + 40 = 5*w + 5*j. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1475)\/2875 + ((-51)\/15 - -1 - -3). Is i less than -3\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5824614284?\nAnswer: 2, 59, 241, 102409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = g, -5*w = 2*g + 69776 - 69777 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkq when three letters picked without replacement from {k: 3, s: 4, q: 4, u: 1, x: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*s**2 + 482*s**3 - 245*s**3 + 20*s - 235*s**3 - 54*s to the form b + a*s + v*s**2 + o*s**3 and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-6)*3 + -1380. Let v = u - -2114. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxx when three letters picked without replacement from xxyyyyxxxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23106.4, -7, 2?\nAnswer: -23106.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 11 - 4 - i**3 - 3*i + 0. Let g be h(0). Suppose 4*v - 3*d - 18 - 12 = 0, 0 = d + 6. Solve 4*o = x - 7, -v*x + g = o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -7. Let w = 5.9993 - q. What is w rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -132*u + 14. Is w(-12) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/1600171 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 341872, 341870, 341868, 341866, 341864?\n\"Answer: -2*q + 341874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/201 (b) -6 (c) 3\/2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 219*t - 5508. Let i be g(-29). Solve 89*n - 15 = 92*n - 4*b, i*b + 20 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, o: 5, q: 6}. What is prob of picking 2 a and 2 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*y - 2*y = -76, 3*y = w - 20. Solve -9*d + 22*d = -w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 164 = n, 2*n + 4*p - 20 = 284. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 - a + 2. Suppose -3*g + 4*g - 2 = 0. Let w be y(g). What is the highest common factor of w and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716636432 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 61 = 4*w, -w + 0 + 11 = 5*s. Let y = 12 + w. What is the common denominator of -97\/6 and 5\/y*8\/28?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*l**4 + 201*l**3\/2 - 207*l**2\/2 - 27*l = 0.\nAnswer: -3\/5, -1\/4, 0, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(2\/(16\/8)) - -8. Solve -q + 2*m = -i, -q - 3*m - 2 + 1 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 7*k**2 + 4*k + 14. What is the units digit of i(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 18*s + 144. Give p(8).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 336*s**3 - 171*s**3 - 1 - 164*s**3. Let c(f) = 5 - 5*f**3 + 1 + 8*f - 14*f. Calculate c(q) + 6*n(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**5\/15 + v**4\/8 + 137*v**3\/6 - 50*v**2. Differentiate q(j) wrt j.\nAnswer: 8*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -10, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 9:17 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 27 = 3*i - 2*i, -2*i - 2*j + 14 = 0. Let d = 1217\/154 + -155\/22. Determine h, given that -2\/7*h**i - 4\/7 + d*h = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1054 and 918.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 9. What is the remainder when 58 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/((-21)\/14 - -1). Let h be (-96)\/120*(16\/6 + -1). Sort 2, -3, h, w in decreasing order.\nAnswer: 2, w, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 4*o - 12. Let b be v(-6). Suppose 10*n + b = 582. What is the remainder when n is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 34*h**2 - 7*h + 5. Let g be x(2). Which is smaller: g or 128?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 13*m - 1940. What is g(-51)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 996*m - 455*m + 178*m.\nAnswer: 714*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (551 - 3*s - 284 - 276)*(-2 + 5 - 4) to i*s + j and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*r - 1674 = 452*r + 16071 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-62)\/3348*3\/4.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2 + w**2 + 9*w + 0*w + 4*w - 3*w**2. Let c be q(10). List the prime factors of c\/(-20) - 6\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 20\/5 - (5 + -2). Let z be (-6)\/(-2) - ((3 - 1) + y). Suppose b - 5*b = 12, -w + 4*b + 28 = z. Solve -k - 3*k + w = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2 - o + 1. Let w = -4 + 1. Let b = -19 - -18. Let x(g) = 6*g**3 + 10*g**2 + 8*g - 2. Let d(m) = b*x(m) + w*c(m). Factor d(a).\nAnswer: -(a + 1)**2*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*(-24 + 17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -10. Suppose 0 = -v*d - d + 5517. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5800)\/(-1800))\/((12\/(-3))\/36)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.09 - 45.09. Let b = a + 38.9. Round b to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 69\/12)\/(2\/(-8)). Is y at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -2 - 1\/20*m**4 + 2\/5*m**2 + 0*m**3 + 0*m. Factor n(a).\nAnswer: -a*(a - 2)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1614 = -54*o + 60. What is the remainder when 308 is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/1 + -1 + 0. Suppose 0*d - 7*d + 210 = 0. Suppose -d = 8*g - 14. Which is the smallest value? (a) w (b) g (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/60 and 29\/66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 21 = 2*g + 5, -2*g - 42 = 2*q. Let h be 24\/q - 9\/(-6). Solve 4*x + 2*a - 18 = h, -32 = -5*x - 4*a - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and 1.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 7250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 21\/76, 4, -2, -4, 3.72?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35581675531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -128, 302 in increasing order.\nAnswer: -128, 0.2, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 313*r - 2903. Give g(9).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {w: 1, p: 1, i: 1, a: 1, f: 1, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1042, 9, 5, -37, 0, 1 in increasing order.\nAnswer: -1042, -37, -1, 0, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159095 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -353 - -473. Find the second derivative of -w*f**5 - 14*f**5 + 150*f - 152*f - 5 wrt f.\nAnswer: -2680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-8 - (-13 - -7)) - (-86)\/72. Which is bigger: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgdqngbdgddbggd. What is prob of picking 2 d and 2 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3099.2 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g + 23. Let z be g\/5 - (-12)\/(-30). Let k(q) = -7*q - 8. Let n(r) = 13*r + 15. Let d(l) = -11*k(l) - 6*n(l). Determine d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 3*p - 5 = 0, -4*a + 32 = -4*p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 2, o: 1}. What is prob of sequence emm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-15) + 144\/60?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 35 = 0, 20 = -54*i + 55*i - 5*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67339?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2227565 by -3.\nAnswer: -2227565\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 257971639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + -5 + (193 - 185 - (5 - 2)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 1:35 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/120 - (-6)\/(-40).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/((q*q**(1\/4)*q)\/q))\/q)**(-47)\/(q**(-2\/25)\/(q**(-2\/5)*q)))\/(q**(-2\/5)\/(q\/q**(-4))*q**(-1)*q\/q**(-5)) assuming q is positive.\nAnswer: q**(1283\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/((-31)\/155)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4500762, 4500808, 4500854, 4500900, 4500946, 4500992?\nAnswer: 4501038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**3*l + 2*g**3*n**2 - g**3 + 3*g**2*l**2*n**2 + 22*g*l**2*n + 2*l**2*n - 4*l - 25*n**2 wrt n?\nAnswer: 4*g**3 + 6*g**2*l**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/3 + 56*d**4\/3 + 39*d**3 - 56*d**2\/3 - 116*d\/3 = 0. Calculate d.\nAnswer: -2, -1, 0, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19404 - -19449. Solve -38*q = y*q + 415 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - -7. Suppose -2*y = -3*u - 48, -y - u = -3*y + r. Let k = 25 - y. Sort k, -53, -3 in increasing order.\nAnswer: -53, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**5 - 22185*k**4 + 41047758*k**3 - 122810664*k**2 - 246064896*k + 327849984 = 0?\nAnswer: -2, 1, 4, 3696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8970504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 2*h - 106 - 24, -3*n + 2*h - 197 = 0. Let r be -3 + n - 2\/(-2). Let u = -1129 - r. What is u rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3045 - 83?\nAnswer: -3108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 + (-1909)\/92)*(-8)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2405574.\nAnswer: 2, 3, 107, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1988074.\nAnswer: 2, 11, 23, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/110*(4\/(-60))\/((-2)\/3)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1473 (b) 0 (c) 0.1 (d) 7 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/45 and -8\/625.\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-52)\/10 - -2\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 24, 2\/11, -54, 2, 5\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 5*d + 1085 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3663 - 2607. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.8 + -0.2. Let l = 5.9321 + 0.0679. What is the third biggest value in h, l, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42405 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3566*b**2 - 1797*b**2 - 1770*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 249114850 divided by -3?\nAnswer: -249114850\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 9*z - 57 + 119. What is the closest to 1\/10 in -14, -4, 4\/7, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -2\/39, -20\/3 in descending order.\nAnswer: 0, -2\/39, -1, -20\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 439 + -391.6. Let g = 267.4 - l. Let o = -219.99849 + g. Round o to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 9. Let y be w(0). Suppose -y = 5*q + 51. What is the remainder when q*2*28\/(-16) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-4\/19)))\/r**6*(r**(-10))**(-6\/7) assuming r is positive.\nAnswer: r**(503\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 3*r + 1. Let g be x(-2). Let b = 20 - 17. Suppose 0 = 3*c - 34 + 19. Solve b*f - g = -3*j + 3, 3*f = -c*j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 485 + -480. Solve b = 5*g - 13 + l, 4*g = 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -7. Suppose -4*f - 58 = -2*l + 14, -2*l - 5*f = -81. Let v = -12 + l. Calculate the remainder when v is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32412*i**2*n**6 + 3*i**2*n**2 - 8*i**2*n + 35*n**2 - 3 wrt n?\nAnswer: 3889440*i**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*h**2 + 5*h**2 + 0*h**2)*(-6 - 21 - 48).\nAnswer: 5325*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1*(m\/(m\/(m\/(m**4\/m))))\/m)**46)**(-1))**32 assuming m is positive.\nAnswer: m**2944","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 0*w + 1\/30*w**6 + 0 + 1\/6*w**4 + 0*w**5 + 3*w**2 + 0*w**3. What is the second derivative of f(a) wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/sqrt(108) + 0 + -3 + 4*(sqrt(13) + sqrt(39)\/sqrt(3)).\nAnswer: -3 + 49*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171*h + 494 = 2356*h - 1166*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7392.401 nanometers in centimeters?\nAnswer: 0.0007392401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-24)*54\/(-45).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 725 and 1058065?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**2\/u)**40*(u*u**(-1))**(-3\/13) assuming u is positive.\nAnswer: u**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**3\/3 + 15*m**2\/2 + 3*m - 1. Let c be i(12). Is c\/3 - 0 - 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2 (c) 0.05 (d) -16 (e) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-21) + 60\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 121?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Let k = -8 - -10.9. Let t = -2.7 + k. Which is greater: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3 + 66*w**2 - 296*w = 0.\nAnswer: -37, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (-41)\/(-7))*(-9 + 16). Solve 30 + 10 = -k*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 3*s - 5. Let j be q(-4). Let c(i) = -2*i**2 + 101*i + 48. Let z be c(51). Sort -4, z, -5, j in ascending order.\nAnswer: -5, -4, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -82? (a) 4 (b) 10 (c) 0.2 (d) -0.9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304 (base 7) to base 15.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 + 22 + 3*h**2 - 45*h + 21*h - h**2. Let c be p(12). What is the common denominator of 3\/(-24) + c\/(-48) and 73\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/13))**(-19)*v\/(v\/v**(2\/3))*v*v\/(((v\/v**(-10))\/v)\/v)*v*v)**18 assuming v is positive.\nAnswer: v**(-330\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 249 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**4\/17 - 4*o**3\/17 - 16*o**2\/17 = 0?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 1. Let d(k) = 2*k**2 + 29*k - 5. Let p(w) = -d(w) + 5*g(w). Factor p(c).\nAnswer: -2*c*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j - 9. Let c(a) = a**2 + 5*a. Let r be ((-10)\/(-1))\/((-8)\/4). Let l be c(r). Let s be (l - 0)\/((-8)\/4). What is n(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) 0.18 (c) 0 (d) -2.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*z + 139 = 0, 0 = -4*v + 7*v + 2*z - 433. Let b = v - 152. Let r = 0.544 - 0.044. Sort b, -11, r in descending order.\nAnswer: r, b, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g - 2. What is l(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5 + 5*l**2 + 9*l + 6*l**2 + 3*l**3 + 0. Let g(t) = 12*t**3 + 45*t**2 + 36*t + 21. Let o(y) = -2*g(y) + 9*k(y). Determine b so that o(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 4*v**2 + 3*v + 7. Let l(k) = k**3 - k**2 - k - 1. Let p be -12 - -15 - (0 + 0 - -1). Let u(i) = p*l(i) - b(i). Determine u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1420 + 367 = 44*d + 60 + 515 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmfm when four letters picked without replacement from {p: 3, f: 3, m: 7}.\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*j**3 + 183*j**3 - 206*j**3.\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65900582 to the power of 1\/2, to the nearest integer?\nAnswer: 8118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.781205 to three decimal places.\nAnswer: 0.781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - -0.41. Let z = 498197 + -498201. Which is the nearest to 1\/3? (a) 6 (b) v (c) z (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*b = -1149 - 449 + 92 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685577.\nAnswer: 19, 36083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -17*n - 346. Calculate i(-17).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/31027?\nAnswer: -6\/31027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2986 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 12, -4, 288, 35 in descending order.\nAnswer: 288, 35, 12, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 28 = -p - 0*l, -3*p - 3*l = -57. Let w = p + -14. Suppose 11*x - 165 = w*x. Calculate the remainder when x is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000561169562 to 7 dps.\nAnswer: -0.0005612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32259\/22 - 1466. Suppose -5*s = -15 - 465. What is the common denominator of n and -1*(-9)\/3 - 15\/s?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(2*l + 2*l - 5*l) + 29 - 35787*l + 122905*l - 30 + 1.\nAnswer: 87120*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-26) - 15\/13. Let k = t - -5. Let g(x) = x - k*x + 6*x. Let u(q) = q**2. Determine u(g(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23933407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 121*w + 817. List the prime factors of h(26).\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0085912 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/10457 or 0?\nAnswer: 21\/10457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/9, -3, -3.9, 1, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*d = -51, 0*d - 2*d - 39 = -3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1062 and 663042?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 - 13. Let y be n(5). Suppose -42 = -y*x + 6*x. Solve -x = 2*s + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**2 + 8518*c - 184072?\nAnswer: 6*c + 8518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(450) - sqrt(50))\/(sqrt(160)*2 - sqrt(160)))**2.\nAnswer: 845\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 6:45 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(117) + (sqrt(1053) - -3*sqrt(1053))**2 + 4.\nAnswer: 9*sqrt(13) + 16852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*p + 17*p - 12. Which is the third biggest value? (a) p (b) 185 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*j + 33, -1192*n + 75 = -1199*n + 4*j for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by 2450889.\nAnswer: -73\/2450889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6737744 and 99\/36946.\nAnswer: 330149456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4\/2 - 2*z**3 + 19*z**2\/2 - 9*z + 555. Give b(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -406\/25 + 2947\/300. Find the common denominator of 17\/12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 12.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*k - 3325, -k + 0*i + i + 665 = 0. What is k rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17105249933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 45300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/15 - 3*p**2. Let d(l) be the second derivative of -l**4\/12 + 23*l. Calculate d(z(g)).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 154518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 238\/1097?\nAnswer: 238\/1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 21*t = 3*u - 5, 119 = 3*u + 7*t + 104 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-6 + -1 + sqrt(72) + -3 + 2.\nAnswer: -12*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.08203 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16709, -34332, -51953, -69572?\nAnswer: -87189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2489, -1034, 421?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.099898 centimeters in nanometers?\nAnswer: 50998980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -3. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(2\/7)\/j)\/j)\/j**(-22))**(-1\/34) assuming j is positive.\nAnswer: j**(-71\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 7*u**3 + 5*u**3 + 4*u**2 as t*u**3 + q*u**2 + b + x*u and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(396)*-1))\/((1*sqrt(84))\/sqrt(12) - (sqrt(7) + (sqrt(7) - sqrt(42)\/(sqrt(6) + sqrt(96))) - sqrt(7))).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/12 and 2768\/168 + -6 - (0 - -9)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 9. Let n = -1 + j. Let d = -4 - -13. Solve -3*p - n = d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24143456 (base 7) to base 5\nAnswer: -1022122414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 46*j**2 - j - 5. Let x be z(0). Let a = -0.06 - -3.06. Let q = 7 - a. What is the second biggest value in q, -7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 1 + 1)*(2*r + r + 3*r)*((1 - 3 + 0)*(5 - 1 - 3) - 4 + 0 + 3) as o*r + k + y*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111696 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1) + -7 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 709 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1703 by -2263.\nAnswer: 1703\/2263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12011 (base 3) to base 16\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + j - 2. Let d(c) = -2*c**2 + c. Give d(q) + 4*y(q).\nAnswer: 2*q**2 + 5*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veeveeeuseseevevvvvv. What is prob of picking 1 v, 1 e, and 2 s?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*j**3 + 125*j**2 - 125*j**2 + (j + 0*j + j)*(3*j**2 + 1 - 1) + 2 + j**3 - 2 in the form i*j**2 + b*j**3 + g*j + r and give b.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1068615173*a**3*c**3 + 53*a**3*c**2 + 659228*a**3 wrt c.\nAnswer: -6411691038*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5\/4 + 103*j**4\/2 - 99*j**3 - 1217*j**2\/2 - 2851*j\/4 - 255 = 0.\nAnswer: -1, 5, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (306\/(-12))\/((-3)\/4) - 1. Let z = u - 36. Let s be ((-6)\/7)\/(2 - 0). Which is the nearest to s? (a) 0.1 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 22*l - 206. What are the prime factors of u(21)?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1\/3, 1596, 5, 0.2, 0.0407?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39626*f + 37910*f - 17884 - 13004 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 131 - 3 + 32 in the form w + p*f and give w.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5728170 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346721275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-2) - 0 - 37. Let n = d + 66. Solve -n = 4*q - 5*c, 3*q + 0*c + 18 = 2*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2483029?\nAnswer: 313, 7933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*i - 248*i**2 + 14*i - 25*i**4 + 16*i**5 + 28 - 272*i**3 - 43*i**4.\nAnswer: 4*(i - 7)*(i + 1)**3*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10307)\/7644 + (-636)\/(-477) and -29\/54.\nAnswer: 68796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -409, -400, -391, -382?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/10)\/(246\/(-1640)). Let a(p) = 4*p**3 - p. Let m be a(1). Solve d = -m*z - z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 549*s - 619. Determine d(3).\nAnswer: 1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 - m - 27*m**4 + 11*m**4 + 10*m**4 - 8*m**5 + 6*m**2 + 5*m**4 wrt m?\nAnswer: -420*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 239\/5? (a) 11\/5 (b) -1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 215880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**2. Let n(j) be the third derivative of 0 + 1\/60*j**5 + 0*j - 2*j**2 + 0*j**3 + 0*j**4. Give n(y(w)).\nAnswer: 49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*m - 19. Solve -m*z = -3*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 22. Suppose 2*k - 30 = 5*g - 11, g = 4*k + c. Let u = k + 11. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -6, -2*y = 2*y + 3*p + 22. Let g = 140\/3 + -46. Which is the closest to 15? (a) g (b) y (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 734 + -1065. Let u = c + 331. What is the second smallest value in 6, 2, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 15, -3*i - 38 = 4*u - 35. Let a(b) = -18*b. Let p(n) = 37*n. What is i*p(q) + 7*a(q)?\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1723*p + 1 + 0 - 1917*p.\nAnswer: -194*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + 1)*-2*-2 - (4 + sqrt(242) + -1 - (sqrt(242)*-2 + -1)))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69.1 - 66. Let x = w - 1.1. Let n = 0.7 + -1.2. What is the biggest value in -1, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -466*x - 1554. What is the thousands digit of w(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -62 - 12?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -1. Let c(g) be the first derivative of 2\/3*g**3 - 2 - x*g - g**2. Suppose c(k) = 0. What is k?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)\/t)\/(t\/(t\/((t**10*t)\/t))))**(1\/19) assuming t is positive.\nAnswer: t**(-16\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 9:52 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -501 + 468. Suppose 0 = 29*l - z*l. Suppose -4*i = -h, -4 = 4*h + 2*i - 22. Put h, 1, l, -8 in decreasing order.\nAnswer: h, 1, l, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 172303660 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8.4, 2\/7, 0.059, -0.028?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/79146 and -28\/39573.\nAnswer: 79146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-24))\/(18\/56) - 1796\/4041.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v - 2. Suppose a - 18 = -4*l, 3*l - 9 = 2*a + 2*l. Let c be f(a). Suppose c*k + 254 = 11*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -f - 5*t + 77, 4*t - 220 = -5*f. Suppose 0 = -h - 8*h + 189. Calculate the remainder when f is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*n + 17 = -0, -8 = -2*c + 5*n. Suppose c*y - 81 = 6*y + 2*a, 2*y = a + 55. Solve 5*s + t = 15, 3*t + 2*t + y = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29772 and 13232.\nAnswer: 119088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 0)*(-2*w - 5 + w**2 + 6 + w).\nAnswer: 4*w**2 - 4*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163343 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/28)\/(-3)*6. Let s = -81\/7 - -236\/21. What is the second biggest value in 4, m, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*(-10)\/6175)\/((-39)\/390).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 5 = 3*w. Let r be w\/5 + (-1648413)\/(-15). Suppose -2*x + r = -70106. Round x to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2447017127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:43 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1301, 1324, 1363, 1418, 1489?\n\"Answer: 8*a**2 - a + 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*v + 669*v - 68*v - 15282 - 15752 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(10\/3))**(-19) assuming p is positive.\nAnswer: p**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 31. Let c(n) = -8*n + 9. Let k(i) = i - 1. Let l(b) = 2*c(b) + 18*k(b). Give l(a(j)).\nAnswer: 2*j**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5 - 42*n**4 - 153*n**3 + 42*n**2 + 660*n + 504 = 0.\nAnswer: -7, -6, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -805 (base 9) in base 14?\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2562*l - 2761*l = 1805*l + 940896 for l.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 = -531*t - 479*t + 240*t - 578 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 35801 = 31159. Let b = -793 - -1375. Suppose k + b = 6*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + f**2 - 1. Let q(t) = -4*t**3 + 5*t**2 - 6. Let d(m) = -q(m) + 5*v(m). Let n(a) = 3*a - 25. Let g be n(8). Calculate d(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2611 - -5911. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -37685*d**2. Let l(m) = -m**2. Calculate l(b(f)).\nAnswer: -1420159225*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/627 and 187\/35340?\nAnswer: 388740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131340?\nAnswer: 2, 5, 7, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-8) + 6\/8. Let v(s) = -5*s + w*s - 2*s - 2 + 5*s. Is 4 a factor of v(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 98.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = -2*w, -4*w - 3*u + 13 + 3 = 0. Suppose s = -4*i - 14, 3*i + w = s - 2*i. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**3 + 27*v**2 + 54*v + 98. Determine j(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -0.5 (c) -1 (d) 5 (e) 26\/11 (f) 3 (g) -1380\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -122, -164, -190, -194, -170, -112?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - sqrt(162)*2) + sqrt(162) - (-1*sqrt(18) - sqrt(18))*3)\/((sqrt(600) + sqrt(600)*-1)*-6 - sqrt(600)))**2*4.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0611439 * 47.\nAnswer: 2.8737633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398363763 plus 129.3?\nAnswer: 1398363892.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*j - 0*d + 16, 0 = -5*d + 20. What is the units digit of (-231)\/(-14) - (-6)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.017 from -0.391781156.\nAnswer: -11.408781156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 12*u - 37 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (93\/(-21) - 12\/21)\/(-1). Suppose -m*y + 4*y = 4*y. Solve y = 2*l - l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 divided by 2310?\nAnswer: -76\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 19*n + 24. Let l be i(-20). Let p be 1 + 48\/(-9) + l. What is the biggest value in p, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 94469 - 44448 = 27463. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11*a - 3. What is u(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254550814?\nAnswer: 2, 7, 18182201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391878703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*h**4 - 5748316*h**3 - 2874160*h**2.\nAnswer: 4*h**2*(h - 718540)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2499 + 2507. Solve 5*i = 3*d + 28, -4*d = 4*i + o - 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1021112200 (base 3) in base 16?\nAnswer: 625e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 - 98. Solve -5*g - q + 10 = 0, -9*g - c = -6*g + 4*q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -17*r**2. Let h(p) = -13317*p. Determine h(m(u)).\nAnswer: 226389*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-8))\/((-4)\/16). Let r be (d - 0) + (-1)\/(-1). Let k(s) = 5*s**r - 3*s**2 - 2*s**2 - 3*s**2. Let l(c) = -2*c**2. Give l(k(a)).\nAnswer: -18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 15 = 4*n. Let j = n - -5. Let c = j + 15. What is c rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 96. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -154? (a) 8 (b) -59 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 0.1, 62.\nAnswer: -1, 0.1, 0.2, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2534*k - 836198. Give w(-330).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 f when four letters picked without replacement from {n: 5, f: 9}.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 532.1008 days?\nAnswer: 45973509120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/14 - 3504\/2044.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.08424 rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fllylyflc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126*(-7)\/(-14) + -7 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-14) + 7*188\/98. Calculate the highest common divisor of 871 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -29, -48, -71, -98?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -2*r**6\/45 + r**5\/15 + r**4\/3 - 2*r**3\/9 - 4*r**2\/3 + r - 2. What is h in p(h) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 192, -16, -342, -768, -1276?\n\"Answer: 3*d**3 - 77*d**2 + 2*d + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47918 - -71284041.\nAnswer: 71331959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 22)\/(7\/((-112)\/24))*(-6 - -47).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = -38*y + 570 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-10)\/m))\/(m*m**(-2\/17)*m)*(m*m*m\/((((m**(-12\/7)\/m)\/m)\/m)\/m))\/(m*m*m\/m**6*m*m) assuming m is positive.\nAnswer: m**(2360\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.6. Let n = 8 + -25\/3. Let v be (4\/(-10))\/(14\/(-10)). Which is the smallest value? (a) n (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-175)\/(-110)) - -4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -424044, -423826, -423606, -423384, -423160, -422934, -422706?\n\"Answer: v**2 + 215*v - 424260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177464038 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005146 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 4. Let m be y(-6). Suppose 4*l + m*v - 48 + 12 = 0, -27 = -3*l - 4*v. Let b = 8 + 1. Is b at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 186 and 0.5?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1302423312 - -1021?\nAnswer: -1302422241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 3. Let p(v) = -10*v**2 + 3*v - 4. Give -3*n(t) - p(t).\nAnswer: 4*t**2 - 3*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6100 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**3 + 87*d**2 + 34*d + 20. Let m be j(16). What is m rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -663945.96 and -4?\nAnswer: 2655783.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*3\/(-6) - (9 + -13). Suppose -18*f + 8 = -46. Solve y = z + f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009691 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1357? (a) 0.1 (b) 88 (c) -0.5 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9108.403 milligrams to tonnes.\nAnswer: 0.000009108403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385829 (base 10) to base 4.\nAnswer: 1132030211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -9, 0 = 3*u + 3*d - 28 + 10. Calculate the remainder when 3\/(u\/(-2)) + 17 is divided by -1 - (-8 + (-1)\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76520 and 2560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 4*m**2 + 5. Let c(x) = x**3 + 5*x**2 + 3*x - 4. Let k be c(-4). Let g = k - -4. What is v(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l - 1. Suppose 0 = 4*r - 16, 2*r + 38 = 2*m + 7*r. Let b be -5*(m\/5)\/3. Calculate the remainder when 12 is divided by f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**5\/60 + k**4\/4 + 2*k**3\/3 - 4*k**2. Let l be g(4). Let q be 4\/(-14)*(-42)\/l. Solve -o + 5 = q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbxf. Give prob of sequence fb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0648 + 263.9352. Let p = r - 263. Let y = 0.05 - 0.12. Which is the smallest value? (a) y (b) 0.1 (c) -0.4 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 44. Let x = 0.38 - -0.02. Sort x, s, -2\/9 in descending order.\nAnswer: s, x, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-1 + -16)) + -4. Find the second derivative of -6*p - p - o*p**2 + p + 13*p wrt p.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123494254?\nAnswer: 2, 13, 4749779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 616481389 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 920773 is divided by 1455.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 times -60893?\nAnswer: 2679.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65\/127 + 1435\/2159. Which is the third smallest value? (a) -2 (b) w (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6230.491 - -6226. Round x to 1 decimal place.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -10. Let c be 850\/20*12\/i. Is 2 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(4*r + r - 4*r)*(39*r - 108*r + 2*r**4 + 41*r).\nAnswer: -4*r**5 + 56*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12833, -0.02, 150\/13 in increasing order.\nAnswer: -12833, -0.02, 150\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 + 1. Let c = 2 + -2. What is the closest to 2\/5 in 2, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.1. Let n = 0.88 - 4.88. Which is the third biggest value? (a) l (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d856 (base 14) in base 12?\nAnswer: 129270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/1840432 - 170156273\/57053392. Let z = q + -111\/62. Calculate the common denominator of 109\/12 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.4 and 834?\nAnswer: 2835.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118569235\/4368 + 434691\/16. Let p = -256\/13 + u. Find the common denominator of 1\/42 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 12 = -33. Suppose -2*s + b = s. Let t be (5 + -25)*2\/(-8). Solve t + s = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 199, 0, 3, -3 in descending order.\nAnswer: 199, 7, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7. Let r be (0\/2 - 1)*c. Suppose r*z = -3*z + 27. What is the highest common divisor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (657\/6)\/(760\/(-160)) + 23.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0173 + 69993.\nAnswer: 69993.0173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-6) + 5\/10. Suppose s + 44 = b + 4*b, -4*b - 2*s + 38 = 0. Let f = 11 - b. What is the biggest value in c, f, -1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1654831025?\nAnswer: 5, 23, 157, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/20 + m**4\/6 + 3*m**2\/2 + 14*m. What is o(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 9 = 7. Let h(q) = -q**2 + 7*q - 6. Let b be h(a). Solve 0*y = -2*y + b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1406)\/224 + (5\/(-2))\/5. Let o = m + 87\/14. What is the common denominator of (6\/(-36))\/((-32)\/(-594)) and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 395847 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 717 and 14535741?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*v = -5*x + 167, -3*x + 124 = -4*v. Calculate the smallest common multiple of (0 - -1)*x\/24 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 363*o - 165. Let g(x) = -26*x + 12. Let a(t) = 55*g(t) + 4*v(t). Let h(d) = -d**2. What is h(a(w))?\nAnswer: -484*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -292691583722 and 0.1.\nAnswer: -292691583721.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.91635 in 14, -1, 0.5, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(4860) + (-2*sqrt(4860) - sqrt(4860)) + sqrt(4860) + sqrt(4860)))\/(sqrt(72)\/sqrt(96)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 1586, 5, -0.06?\nAnswer: 1586","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**28*l)**(-27\/7)\/(l*l\/((l\/l**(-5\/12))\/l))**32 assuming l is positive.\nAnswer: l**(-3494\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*w + 23*w - 47*w)*(0 + 0 + 2) - w + 6*w + w + (w + 0*w + 0*w)*(0 + 1 + 0) - 3*w + 7*w - 3*w - w + 0*w + 0*w to the form v*w + y and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -67, -4, -41?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + (-183)\/(-12))\/(45\/900) is divided by 112?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -5*o + 32, 2*z + 8 - 6 = 2*o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 338521 = 10*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 246?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3500, -3614, -3812, -4088, -4436, -4850?\nAnswer: -5324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 2, v: 1}. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-3*t + t + 3*t) - 65*t + 13*t - 6*t.\nAnswer: -57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/15 of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(23\/4)*s**12*s**(14\/5)\/s**29 assuming s is positive.\nAnswer: s**(-379\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + -1. What is the nearest to -2 in 2, 2\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 438 + 150. What is the second derivative of -3 - 85*p + 0 - 17*p + 263*p**2 + f*p + 5 wrt p?\nAnswer: 526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 14101 = 2581. What is the greatest common divisor of k and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 350560 and 666064?\nAnswer: 6660640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5472537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 7:46 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let k(x) be the first derivative of x**2 + 0*x**5 + 0*x**3 - 2 - 1\/6*x**6 + g*x**4 + 0*x. What is the second derivative of k(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 0*s**2 + s + 0*s**3 + 1\/3*s**4 + 0 - 1\/10*s**6 + 0*s**5. Find the third derivative of t(p) wrt p.\nAnswer: -72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 11) in base 13?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 31. Suppose 2*f = -3*r + 10, -4*r + t*f + 3 + 1 = 0. Suppose 11 = y - 2*u - 1, r*y = -3*u - 11. Solve 2*h + y = -3*a, -2*a - 3*a - h = 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -23a00?\nAnswer: 23a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1898 - 1898.05004. Let l = c - -0.05. Round l to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1599.673 or 0?\nAnswer: 1599.673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t - 3. Let v be m(-2). Suppose 2*k - 3*k - 3*z = 15, 0 = k - v*z - 17. Does 15 divide 0 - (-1 + -15 + k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 476, 446, 402, 350, 296, 246, 206?\n\"Answer: y**3 - 13*y**2 + 2*y + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l - 51846 = -53166 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**7\/42 - h**6\/15 + h**4\/6 - h**3\/6 - 7*h. Find q, given that n(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*d + 2*k + k, 0 = -5*d + 5*k - 5. Let f(w) = 40*w + 43. Let n(c) = 18*c + 25. Let t(i) = -3*f(i) + 5*n(i). Is 26 a factor of t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 3. Let w be ((-3)\/66)\/(((-10)\/4)\/5). Let s = w - -31\/22. Which is the third smallest value? (a) u (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z - 9*z - 120 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**3 - 4*m**2 - 11*m - 8. Let x(q) = -4*q**3 + 4*q**2 + 10*q + 7. Let n(p) = -6*x(p) - 5*z(p). Calculate n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3452 - 16.58011\nAnswer: -16.92531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/8)*z)\/((z\/((z**(2\/9)\/z*z)\/z))\/z*z))**(-28)\/(z**(-3)\/((z**(-6)*z)\/z*z))**(1\/13) assuming z is positive.\nAnswer: z**(7517\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -168.8812 and 3313.539.\nAnswer: 3144.6578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*(-2259 - 23). Suppose 5*l + 4*k = y, k + 4*k - 453 = -2*l. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2177 + -2?\nAnswer: -2180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -365122, -365113, -365104, -365095, -365086, -365077?\n\"Answer: 9*h - 365131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + (61 - (-13 - -26)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/3*3\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 6:46 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 5*m**3 + 0*m**2 - 7\/6*m**6 + 0 + 125\/12*m**4 + 3*m**5 - 3*m. Factor a(g).\nAnswer: -5*g*(g - 3)*(g + 1)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*y**3 + 2*y - 11*y**3 + y**2 - 4*y**3 - 4*y**2 in the form r*y**2 + z*y + j*y**3 + l and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-4)\/(-12))\/((-1)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149337 and 49779?\nAnswer: 149337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6417 and 8?\nAnswer: 51336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/342 and 85\/798?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 11*m + 4. Let l = -32 - -22. Is f(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + ((-5291156)\/(-1730064))\/(-1). Let r = 6\/5149 - p. Find the common denominator of r and -83\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - (60 - 51).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 9. Let w = q + -5. Let u be 1\/2*w*2. Which is greater: u or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(30)*1)\/sqrt(6).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5572*i + 3518*i - 1191012 + 256515 = 2367*i for i.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 1.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - 113. Let v = 138.000057 + u. Round v to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 45*f**2 - 43*f + 712. What is the ten thousands digit of z(-31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -429 + 431. Let k = -2 - -1.8. What is the second smallest value in -2, k, q?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-96)*-28 - (-1 - 1). What is the closest to 0 in 4, h, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 1\/45*z**6 - 1\/504*z**8 - 2\/9*z**3 + 1\/45*z**5 + 3*z**2 - 1\/12*z**4 + 0 + 0*z**7 - 2*z. Suppose g(k) = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*k + 3*k + k)*(425*k**2 - k**2 + 11*k**2) to p + w*k**3 + a*k**2 + u*k and give w.\nAnswer: -2175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h - 8. Let y be p(4). Suppose -2*z = y*z - 792. Let l = 15 - 3. What is the highest common divisor of z and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 662 + -656. Suppose -20 = 5*i, 4*k = 5*i + 38 - 2. Calculate the greatest common divisor of k and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134052 (base 7) in base 13?\nAnswer: -b754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 15*a**2 + 13*a + 21. Determine m(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/6 - h**2\/6.\nAnswer: -h**2*(h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3147 + -13688?\nAnswer: -16846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1977657?\nAnswer: 3, 11, 59929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 4}. What is prob of picking 1 c and 1 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 13.021887 months in years?\nAnswer: 1.08515725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -2, -4\/9, -2\/13, 7, 0 in ascending order.\nAnswer: -2, -4\/9, -2\/13, 0, 4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 101*d**2 + 163*d - 26292. Calculate y(100).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21278893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 660224 = 3*l. Let w = -1610224 - l. What is w rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 0.1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6360 - -6360.1. Let a = 0 - -16. Let y = 15.93 - a. What is the nearest to y in 2\/3, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*m + 25*m. Let v = 3\/2 + m. Which is the nearest to -0.3? (a) v (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219 + -146. What are the prime factors of f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -2*d - 132. Suppose 12*k = d + 1980. Calculate the remainder when k is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 38*w + 282. Calculate d(28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*f + 0*f - 273 = 0, 4*h + 4*f = 360. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03824 + 0.038235384. Round z to 7 dps.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e176d (base 16) to base 8.\nAnswer: -3413555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8496, -8492, -8486, -8478, -8468?\nAnswer: -8456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 310086313 smaller than 310086313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -57*u - 5. Let y(i) = 170*i + 14. What is 11*v(s) + 4*y(s)?\nAnswer: 53*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/(-3)*(-234)\/4. Suppose -160*h + 157*h = 0. Suppose -q - 4*q + k = h. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a, a + 12 = 2*s + 3. What is the biggest value in -0.5, 0.4, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -335, -668, -1001, -1334, -1667?\n\"Answer: -333*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 5.06. Let l = -56 - -55.8. What is the third biggest value in l, 4, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 7*a + 9. Calculate m(-12).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**4 + 4719255*a**3 - 927974836272*a**2 + 463986238323*a.\nAnswer: -3*a*(a - 393271)**2*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/385 and 149\/1679832.\nAnswer: 8399160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3cc97 + -4?\nAnswer: -3cc9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003024 to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) - ((-2*sqrt(704))**2 + 3 - sqrt(704)).\nAnswer: -2819 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/67)\/(x*x**(-24)*x) assuming x is positive.\nAnswer: x**(1472\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3\/3 + 4*i**2 + 14*i - 8. Let n(h) = -h**3 - 6*h**2 - 49*h - 231. Let x be n(-5). Calculate y(x).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r. Let d(w) = 38*w**2. Calculate d(z(y)).\nAnswer: 5472*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + -12 + 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-9))\/8)\/(2\/(-6))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(6480) + -3)**2*2.\nAnswer: -64890 + 2160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n*v**3 - 3515309*n*v + 4801*v**3 - 6625*v**2 wrt n?\nAnswer: -v**3 - 3515309*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -271, -273, -275, -277, -279?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01336273 rounded to 5 decimal places?\nAnswer: 0.01336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 481074 (base 11) to base 6\nAnswer: 24203120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*m + 31*m - 4. Let q(n) = n**2 + 3*n - 2. What is q(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41494352 rounded to two decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*i**2*y**2 - 63585*i**2*y + i**2 + 21500*i*y**2 + 11*i*y - 2*i + 99*y**2 - 2*y wrt y?\nAnswer: 14*i**2 + 43000*i + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 + 1\/60*r**5 + 0*r + 1\/12*r**4 - 1\/2*r**3 + 2*r**2. Let z be b(-4). Solve 2*q = 3*q - 3, z*f + 10 = -5*q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 - -160106?\nAnswer: 160154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*v - 1066, 2*v + 2646 = -5*q - 0*q. Suppose -5*x + 2373 = -2262. Let n = x + q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3496 and 1152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53.9925 + -54. What is t rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k + 4*k + 9*k**2 + 2 + 6*k in the form d*k + t*k**2 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87216 = -597442*n + 596494*n for n.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = u + 10, 0 = -2*l + 7 - 1. Let z(r) = -14*r**3 + r**2 - 1. Let x be z(u). What is the highest common divisor of 21 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53087565?\nAnswer: 3, 5, 23, 153877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*(3 - 1). Let y(z) = z**3 + 5*z**2 + 3*z - 2. Let a be y(x). Let r(p) = 3*p - 4. Let c be r(a). What is the highest common divisor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.762412l in millilitres?\nAnswer: 9762.412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 20 + 3*o in the form a*o + k and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3180 divided by 6\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11226702*j**2. Let o(l) = 3*l. What is o(y(k))?\nAnswer: 33680106*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)*y)\/y*(y*(y\/(y**(6\/13)*y))\/y)\/y assuming y is positive.\nAnswer: y**(-136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 108130*v + 1405920. Give i(-13).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(20)\/sqrt(4)) - (sqrt(26)\/(sqrt(8)\/sqrt(4)) + sqrt(13))**2.\nAnswer: -52 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1626 - 2552. Is 2 - (3 + -1) - (x + -15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 2*t - 21. Let g(w) = 6*w**2 + 9*w + 20. List the prime factors of g(t).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 4*s**3\/3 - 13797*s. Let z(w) = 54*w - 6. What is z(d(i))?\nAnswer: 432*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y = -5*f + 26, 5918*f - 10 = -3*y + 5916*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u + 84493 = -232*u + 2895*u - 141931 for u.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - o. Let v(c) = -c**3 - c**2 - 2*c - 1. Let s be v(-1). Calculate f(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 12*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1748 + -1582 - (-1 + 115).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/135 + -308\/27. Let g = 119\/10 + w. Let d = 0.9 + 0.1. Which is the nearest to d? (a) -5 (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 67 = 5*y, -15*y = -13*y - 6. Solve 9*k = -w*k + 70 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = 8*k + 13*k - 20*k. Calculate the remainder when k is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5167.78 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.97 + 25998570.\nAnswer: 25998570.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -8*y - 4*b + 172, -2*y + 116 = -4*b. Suppose -5*x = -3*x - y. What is the highest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 12*q + 1 = -16*q, 4 = 5*i - q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-2*(-2)\/(-4). Let t be (-1)\/l + (-9)\/(-18). Which is the nearest to t? (a) -2\/11 (b) 1\/3 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*k - 43 + 44 = 0, -5*v = -4*k + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 1\/2, 32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.0272\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + 68. What is the remainder when d is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 50019*j**2 + 625450080*j + 625500100.\nAnswer: (j - 25010)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 816608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -911, 1, 12316.\nAnswer: -911, 0, 1, 12316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2602038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 900 = p. Let b = -92 + p. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Suppose 210 - 795 = -z*p. What are the prime factors of p?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 20.16. Let w = -2.04 - r. Let l = w + 2.6. Which is the second biggest value? (a) l (b) -2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*2\/(-4))\/((-1164)\/25608)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -3363159723?\nAnswer: 3363159722.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3*(-2)\/24)\/1. Let a(f) be the first derivative of 4\/3*f**3 + l*f**4 - 4*f - 1 + 1\/2*f**2. Give a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356971791?\nAnswer: 3, 11, 19, 89, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 - 29585*l**4 - 1072755*l**3 + 7234785*l**2 - 11251170*l = 0 for l.\nAnswer: -42, 0, 3, 5953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -55. Let g(z) be the third derivative of 0*z + 1\/8*z**4 - 1\/3*z**u + 0 - 3*z**2. Differentiate g(l) wrt l.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 604046916 to the nearest integer?\nAnswer: 24577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101808 and 57744?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/90*12)\/(70\/(-15)*3).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2598)\/(-24) + (-9)\/(-12). Let l = w - 91. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14230*c*j**3*s*x + 3*c + 3*j**3*s*x**2 - 3*j**2*x + 2*j**2 - 129*j*s*x - 22*s*x**2 + 2*s*x wrt j?\nAnswer: 85380*c*s*x + 18*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 65 = -0*t - 5*y, 0 = -4*t + y + 83. Suppose q - t = -3*q. What is the remainder when 7 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/177254 and -111\/122862344.\nAnswer: 860036408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 2080.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4628225.\nAnswer: 5, 7, 53, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/((-13)\/((-13)\/(-2))). Suppose 5*x - 30 + 11 = -3*c, -4*c = u*x - 18. Let g = -2 + 4. What is the nearest to g in 0.5, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 259705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -3*c + 0 + 0*c**3 - 3\/20*c**5 + 0*c**2 + 1\/3*c**4. What is the third derivative of k(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(6\/7))\/((p*p**(-38)*p)\/p*p))\/(p**25*(p**(-2\/25)\/p)\/p) assuming p is positive.\nAnswer: p**(2314\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12a (base 12) in base 2?\nAnswer: -10110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42367, 85124, 128259, 171772, 215663, 259932, 304579?\nAnswer: 349604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -60 - (112 + -146 - -61)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 591 + -591. Let x = 4 + -6. What is the closest to 0 in a, -0.5, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19073.34 litres to millilitres.\nAnswer: 19073340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5525.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/336 and -40\/11.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q + 0*q - q)*(3 - 4 + 2) + 2 + q - 2)*((2 - 2 - q)*(3*q + 2*q - 6*q) + 557*q**2 + 2399*q**2 - 122*q**2).\nAnswer: -2835*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = -2*o, -5*o - p = -3 + 12. Let c(z) = -z**3 - 5*z**2 - 5*z - 2. Let l be c(-4). Put l, 1, o in decreasing order.\nAnswer: l, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19370 or 18370?\nAnswer: 18370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 - -82.5. Let p = -80 - r. What is the biggest value in 0.4, 19, p, 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-18))\/((-55)\/(-275)*(-175)\/(-42)*-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100, -610, -1996, -4696, -9148, -15790, -25060?\n\"Answer: -73*z**3 + z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by -11 - (4\/(-6))\/((-88)\/(-23628)).\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 2\/33, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = b + 2*y, -3*b + 56*y - 58*y = -43. Solve -32 = -b*h + 23*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1 + sqrt(11))*4 + sqrt(99)\/(sqrt(9)*-2) + 0)**2.\nAnswer: -60*sqrt(11) + 2539\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((308\/1881)\/(-14))\/(2\/(-18))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l - 16*l + 34*l + 6. Let p(a) = 1. Let i(w) = -w + 5. Let b(k) = i(k) - 4*p(k). Suppose -u - 2 = 3, -16 = -4*o + 4*u. Calculate o*f(y) + 5*b(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77\/92 + -2\/23. Let u = -0.6 + 0.3. Let q = -16685 - -16689. What is the second smallest value in q, u, s, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4396 - 4391. Sort -2, s, 26, -11, 4 in increasing order.\nAnswer: -11, -2, 4, s, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b*n*v - 2*b*n + 3*b*v + 5*b + 2175*n*v**3 - 24229*n - 9 wrt v?\nAnswer: -6*b*n + 3*b + 6525*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 461644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m - 189 - 294 = 0. Sort -5, -1, 0.2, m in descending order.\nAnswer: 0.2, -1, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2029200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109702 is divided by 113.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Let q be ((-3)\/6)\/(n\/12). Let p(j) = -j - 1. Determine p(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5 - 7*w**4 - 12*w**3 + 4*w**2 + 16*w = 0. Calculate w.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 561, 1162, 1791, 2448, 3133, 3846?\nAnswer: 4587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*c - 19*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-4 - (32 - 31 - (14 + -1)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-14)*(-7)\/(7\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0199165 less than 0?\nAnswer: 0.0199165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*((sqrt(540) - (sqrt(540) + ((sqrt(540) - (sqrt(540) - 1*sqrt(540))) + sqrt(540) - sqrt(540))))*2)\/(1*(sqrt(320) - sqrt(320)*-2)).\nAnswer: -3 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + q + (4 - 2*q - 4)*(4 - 1 - 7) - 6*q - 1 - 10*q + 12*q to the form u*q + n and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*y = 7, 5*c + 12121*y + 23 = 12123*y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-1\/2)\/f)\/f)\/f)\/f)**(-11)\/(f*f*f**(1\/2)*f)**(14\/5)*(f**(-1\/4))**19\/(f*f*f**(-2\/5))**27 assuming f is positive.\nAnswer: f**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 5. Determine j(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.7752144 rounded to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 6:40 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(-3 + sqrt(1008) + -5*sqrt(1008)*1) + (sqrt(1008)*-3*1 - (-3*sqrt(1008) - sqrt(1008) - sqrt(1008))*4))**2.\nAnswer: -1152*sqrt(7) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 + -523. Let q be 8\/60 + (-1572)\/m. Suppose 3\/4*t + q - 3\/4*t**2 = 0. Calculate t.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 798\/9576*(-20)\/1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -172, -169, -166, -163, -160, -157?\n\"Answer: 3*k - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*g + 27*g + 355 = 32*g. Solve -l + 5*r + 12 = 4, -l + g = -2*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 9) + 13 + 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 86948.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5941, -24193, -54737, -97573, -152701, -220121, -299833?\nAnswer: -391837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 5:58 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 18 = -7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -17*j - 2822. Let w = -151 - j. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701*p - 60 = -1691*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 41.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by -130?\nAnswer: -107\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 26*x + 79. Let t(a) = 3*a - 32. Let r be t(16). Let k be p(r). What is the highest common divisor of 45 and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 75, 186, 347?\n\"Answer: 25*n**2 - 14*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v = -42*v - 120. Let o = -40 + v. Let c be ((-87)\/4)\/(-3) - (-4)\/o. Calculate the greatest common factor of c and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2805, -2787, -2753, -2697, -2613, -2495?\n\"Answer: q**3 + 2*q**2 + 5*q - 2813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 114*z + 1010. Calculate r(-8).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -4*u + 13\/2*u**2 - 1\/3*u**3 + 1. Let m be p(5). What is the greatest common divisor of m and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/(-2) - -2)*(4\/(-14))\/((-73)\/(-511)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1088\/9 - -121. Let f = -0.7 + 0.5. Which is the third smallest value? (a) v (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 55 = 103. What is the remainder when 31 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -500*p**2 + p - 154 wrt p.\nAnswer: -1000*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116303*w**3 - 34199*w**2.\nAnswer: -697818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.288 + 0.588. What is the third smallest value in -17.7, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**2 + 129\/4*j**4 - j**3 + 0*j - 106. Find the third derivative of h(q) wrt q.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 3345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + -4?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - ((sqrt(7) - sqrt(14)\/sqrt(2)) + sqrt(7) + 4))**2 - (2 + sqrt(63))) + sqrt(35)\/(1*sqrt(405)).\nAnswer: -18 - 17*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -18*v - 2. Let l(y) = -17*y - 1. What is -2*j(n) + 3*l(n)?\nAnswer: -15*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*i**2 - 5*i**4 + 6*i**4 - 18*i**3 + 11*i**2 + 16*i**3 as w*i**4 + s*i**3 + m + v*i**2 + u*i and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 + 176 + 9*c**2 - 11*c**2.\nAnswer: -2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27 (b) -130360 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76 - 3aaa?\nAnswer: -3b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*((-40)\/(-25) - 2). Calculate the highest common divisor of 7 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 3132*v - 1033*v - 1075*v - 1047*v.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24710, -198081, -668818, -1585655, -3097326?\nAnswer: -5352565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**3 + 16*x**3 - 11 - 10*x**3 to the form c + q*x**2 + d*x**3 + y*x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14811*c**2*w*z**2 - 2*c**2*w*z - 6597*c**2 - c - w*z**2 wrt z.\nAnswer: 29622*c**2*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l\/l**(2\/9))\/l)\/l)**(-1\/7)\/(l*l**(-7)*l**4) assuming l is positive.\nAnswer: l**(128\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - o**3 + 3*o - 7*o**2 - 4 - 7*o + 2*o**3. Suppose -2*x = 5*t - 110, 3*t + 4*x = -x + 85. What is the smallest common multiple of c(6) and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/15)*g*g*g)\/(g*g**(-42)) assuming g is positive.\nAnswer: g**(662\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 183 and 2055427?\nAnswer: 376143141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*l + 1760, 2*s - 2*l - 877 = 3*s. Let t = s + 1756. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 73\/3 (c) 1\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from meeewxqe?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*s + 32, -3*h + 5*s + 7 = -59. What is the remainder when h is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161*-5.\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -41*n - 1595. Give t(-39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 230481 to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 4:35 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 5 = 2*i. Calculate the remainder when 66 is divided by i\/(-3*3\/(-207)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -766, -1491, -2208, -2917, -3618?\nAnswer: -4311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, -661\/4, -0.67?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -272 + 252. Find the common denominator of -23\/30 and (-2)\/g + (-112)\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96352 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d**3 - 115*d**3 + 114*d**3.\nAnswer: -26*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 18. Solve -2*i + 2 = -t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = v - 1005, -2*m = v - 546 - 474. List the prime factors of v.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 316134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3082400 (base 9) to base 11.\nAnswer: a26681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4945490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -3, -18, 4, 32 in descending order.\nAnswer: 32, 4, -3, -18, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -1647*d + 1653*d. Solve 1 = -x - d*r, -31*x + 37 = -26*x - 4*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, -2, -6, -12, -20, -30?\n\"Answer: -k**2 + k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j - 50. Let m be o(10). Is (-1815)\/(-1) - (1*-2 + m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 1, f: 2, b: 1}. What is prob of picking 2 f and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8*l*l**(1\/3)\/l)**(-42)\/(l**(-3\/7)\/(l\/(l\/(l**(-2\/5)*l)))*l*l**(-2\/9)*l**7) assuming l is positive.\nAnswer: l**(-112376\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -61*g + 3312. Calculate d(54).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -313291.59464 - -313306. Let z = -14.0453695 + l. Let j = 0.36 - z. Round j to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 0*m**3 + m**3)*(-1 - 2*m**2 - 3*m**2 + 4*m**2) + (3 - 4 + 0)*(-3*m**5 - 412127*m + 412127*m).\nAnswer: 2*m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125 or 36436?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 24*a + 154. Let s(k) = -5*k - 31. Suppose 5*u = -5*g, -356*g - 4*u - 3 = -351*g. What is g*q(n) - 14*s(n)?\nAnswer: -2*n - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.7118948 and 3.\nAnswer: 3.7118948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4893793365 + 23.1?\nAnswer: 4893793388.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:59 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a - 3*a)*(-4 + 4 - 3*a)*(-a**3 - a + a).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**4\/7 - 4*i**3\/7 - 37*i**2\/7 - 68*i\/7 - 36\/7 = 0.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173320168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 125358401 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -10000?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(1\/2). Let n be -2 - 9 - (l + 1). Let b = -11 - n. Which is greater: b or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1) + 1 - (304 - 309)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27950 and 245960.\nAnswer: 1229800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 4. Let p be ((-10)\/l)\/(2\/9). What is the highest common divisor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + n**2 + 2*n + 25. Let q be p(0). Suppose -8*g + 13*g = q. Suppose -28 = -4*y + g*l, 6*y = y - 4*l + 35. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*p - 20 = 0, -26314*k + 3*p + 13 = -26312*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 + 4*r + 7. Let n(u) = 3*u**2 - 3*u - 6. Let k = -490 - -495. Let p = 17 - 13. Calculate k*n(w) + p*z(w).\nAnswer: -w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 5*b + 2*a - 37, -a = -b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63915 by -5.\nAnswer: -12783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i**2 + 399*i + 110. Let a be d(-40). What is the highest common factor of 2460 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.8 - -25.5. Let f = w - -8.3. Which is the nearest to -2? (a) f (b) -3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1823776151?\nAnswer: 1823776151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/3))**25*r*r\/(r*r**(-7)\/r)*r**(2\/21))\/((r*r*r\/(r**(-2\/3)\/r*r)*r*r*r)**(-2\/19)\/((r\/(r\/r**(1\/4)))\/r)**(-2\/73)) assuming r is positive.\nAnswer: r**(2513711\/58254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (66 - -52 - 51).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Suppose -x + s*x = 2*m + 14, -4*m = -x - 8. Suppose 9 - 9 = -6*i. Solve i*u + x = 3*u - 2*g, -5*u = -g - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5389 = 10*k + 7*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -643.036 - -643. Let j = -0.036 - i. Which is the closest to j? (a) 0 (b) -7 (c) 3\/7 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7389683 + -0.0217476.\nAnswer: 7389682.9782524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39\/8 + -11\/8. Let a = m + -31\/8. Let n = 1850 + -3783\/2. Calculate the common denominator of a and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 22 + 46. Let g = -5 - o. Solve g = -3*x - 0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -11.6. Round m to one decimal place.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -143 * 1398.589.\nAnswer: -199998.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 + -85. Suppose 0 = 2*a + 3*r - 4, f*a + 3*a - 2*r = 6. Find the third derivative of 4*y**6 - 13*y**a + 38*y**2 - 10*y**2 - 13*y**2 wrt y.\nAnswer: 480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 58.15875 minutes?\nAnswer: 3489525000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 28814986?\nAnswer: 230519888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 28. Suppose z = -4*z + h. Suppose -2*v = 2*b, -6*v + 16 = -v - z*b. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303 a factor of 72790792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -n + 16*n. Let l(t) = t**3 + 5*t**2 - 2*t - 7. Calculate l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 723353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 180, 277, 378, 483, 592, 705?\nAnswer: 822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.064 (b) 0 (c) -4\/7 (d) -63\/16 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*j + 32 - 10, 2*o = -j + 17. Suppose 0 = -9*s - o - 8. Let l(i) = -i**3 + 8*i**2 - i + 9. Let y be l(8). Sort s, y, 13 in ascending order.\nAnswer: s, y, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 11:09 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*x = 25 - 9, 2*x + 12 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + 23. Give z(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2\/4 - 22675*z - 317695 = 0.\nAnswer: -14, 18154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-6))\/f)**34\/(f\/(f\/(f\/(f*f*f*f*f\/(f**0\/f)))))**(-29))**(-7) assuming f is positive.\nAnswer: f**2443","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2825766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -26*u + 9. What is the hundreds digit of r(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1292 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*s**2 - 1 - 423*s - s**3 + 101*s**2.\nAnswer: -s**3 - 423*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 11. What is q(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -32. Suppose -i*k + k = -33. Let t = k + -13. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -9*r**4\/2 + 99*r**2\/2 + 91. What is the second derivative of h(j) wrt j?\nAnswer: -108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, l: 2}. What is prob of picking 1 l and 3 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**4\/m))\/m*m*m)\/m)\/m**12*(m**4*m)\/((m**(2\/17)*m)\/m) assuming m is positive.\nAnswer: m**(-155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 + -139. Let u(o) = -o**2 - 1. Let m(w) = -8*w**2 - 6. Let l = -2 + 1. What is l*m(i) + y*u(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**3 + 128*t**2 - 239*t + 112. Let g(m) = 4*m**3 + 64*m**2 - 120*m + 56. Let q(p) = -7*g(p) + 4*j(p). Suppose q(d) = 0. Calculate d.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-42))\/5)\/(18\/144 - 0)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**2 - 4*z + 7. Let l = -28 - -33. Let r(y) = 4*y**2 + 2*y - 3. Determine l*r(t) + 2*b(t).\nAnswer: 2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040*p + 461304 = 1058*p. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**4 + 577500*j**3 + 16675889990*j**2 + 33350047500*j + 16674735005 = 0?\nAnswer: -57749, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 5:13 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/9 - (-2)\/9. Let q be (0 - 1)\/(-6)*j. Suppose -9 = w + f + 2*f, f - 2 = -2*w. Solve -w = z + q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4380794376 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 365, 1, 2, 20177 in increasing order.\nAnswer: 0, 1, 2, 365, 20177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/118 and -34.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/193817?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 3, -0.6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281819*n**3 + 140911*n**3 + 140913*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*100*1095\/6. Round t to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3792, 7556, 11310, 15048, 18764?\nAnswer: 22452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -207, -5, 3\/22 in decreasing order.\nAnswer: 1\/6, 3\/22, -5, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 7 = -3*m + 3*g, 5*m - 4*g = 9. Let t be (6\/4)\/(6\/(-8)). Sort 2, m, t, 5 in increasing order.\nAnswer: t, m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -14 + 5. Let l be -4 + 3 + (-423)\/s. Find the third derivative of -2*t**2 + t**2 - l*t**6 + 9*t**2 + 135*t**6 wrt t.\nAnswer: -600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-4))\/((-485)\/(-582))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 5)*(2 - 1). Let w = 10 - s. Solve -w*j + j = 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1110*j**2 + 7799 - 7799.\nAnswer: 1110*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**5\/20 + 7*f**4\/12 - 5*f**3\/2 + 23*f**2\/2 + 433*f + 2. What is y(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 6:31 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43984 rounded to the nearest 100?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-42))\/(19\/57)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 100\/60)\/(2\/(-600)). What is the highest common factor of p and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**2 - 10*y. Let l(d) = 2*d**2 - 2*d. Let k(q) = -5*l(q) + v(q). Let m(f) = 217*f**2 - 2. Calculate k(m(r)).\nAnswer: 47089*r**4 - 868*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w + 28 - 6*w + 0*w)*(w**3 - 2*w**3 + 2*w**3).\nAnswer: -w**4 + 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2758*q**3\/9 + 16544*q**2\/9 - 19330*q\/9 + 28\/9 = 0 for q.\nAnswer: -7, 2\/1379, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15051613 is divided by 836200?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 8 = 4*r, -2*q = -18*r + 14*r + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 6:07 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 53731846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + s - 167 = -1589, 291 = y + 2*s. Let q = y - 142. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 6. Let j be (-3)\/n*5*7. What is the third derivative of j*i**2 - 8*i**2 - 3*i**6 - 10*i**2 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 3372?\nAnswer: 16860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - ((-6)\/(-2) + -1). What is the remainder when 31 is divided by p\/(-1)*(6 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-six fifths of a century?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*c**2*t**3 - 19*c**2*t**2 + 40*c**2 + c*t**3 + c*t**2 - 2*t**4 + 78*t**3 + 3*t wrt t.\nAnswer: 210*c**2 + 6*c - 48*t + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3 = 0, o + 22*x - 17*x - 12 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, 144 in increasing order.\nAnswer: -19, -4, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, e: 4, s: 1}. Give prob of picking 2 e and 1 q.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 50451\nAnswer: 1362177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.11 + 3.109987944. What is k rounded to seven dps?\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:15 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*z + 138*z - 1 = 4*a, a - 4*z = 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 35*s**3 - 1781*s**2 + 1617*s + 17. Let m(k) = 2*k**3 - k**2 - 3*k + 1. Let p(x) = 2*h(x) - 34*m(x). What is the second derivative of p(b) wrt b?\nAnswer: 12*b - 7056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -8. Let t(d) = d**2 + 7*d + 9. Let s be t(w). Suppose -4*o - 5*l = -616, 7*o - 2*l - 616 = s*o. Calculate the highest common divisor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, k: 4, g: 11}. Give prob of sequence gg.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-18)*(-8)\/(-4). Let i = -0.4 + -0.6. Let h be ((-2)\/(-5))\/(33\/45 - 1). Which is the biggest value? (a) h (b) d (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 2*q**4 - q**4 + (4*q**2 - 2*q**2 - 4*q**2)*(2*q - 2*q - 2*q**2) - 2 + 2 + 2*q**4 + 151*q**4 + 638*q**3 - 638*q**3.\nAnswer: 156*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 5*y**2 + 5*y + 22. Let h be m(7). Calculate the highest common divisor of 62 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 5*s**4 - 96*s**2 + 24 - 7 + 223*s**2 - 89*s**2 in the form z*s**3 + i*s**2 + h + k*s + c*s**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-28)\/(c*c\/(c*c**(-1\/2)))**17 assuming c is positive.\nAnswer: c**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**3 + 344*f**2 + 676*f + 336 = 0.\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121473637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 26 = -4*j, q - 2*j - 9 = 11. Suppose 2 = -13*c + q*c. Find the third derivative of 3*h + 19*h**3 - 17*h**3 - 3*h + 11*h**c wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o - 2. Let k be m(-3). Let u(c) = 193*c - 197*c + 53 - 55 + c**2. Determine u(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16305 + 4391.779?\nAnswer: 4391.94205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p - 16 = 0. What is the third biggest value in 0.4, p, 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 35 = -u + 2*u, 2*l + 33 = -u. Let j = 31 + u. Let d = 4 - 22\/5. Which is the closest to 2? (a) d (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 4. Calculate the remainder when w(-2) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-2 - -2))*(-8 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -103181 and -103182 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/3 and 2*6\/28 - 419\/63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, 2\/71, -1\/7, 0, -0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 2*d**2 - 2*d - 1. Let o be i(1). Let g be (-80)\/15*-12 + o. Let y = g + -58. Solve 5*j = 2*a + y, 0 = -0*j + 2*j + a - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0 (c) 85 (d) 148 (e) -1 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**3\/3 - 2*c**2 + 7*c + 2. Let f be j(-5). Factor 55*d**2 - 7*d**f - 105*d + 25 + 72*d**2 + 8*d**3 - 28*d**3.\nAnswer: -5*(d - 5)*(2*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2161 - -2157.987. Let b = o + 0.009. Let d = -3 - b. Round d to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c**2 + 445968*c - 445968*c.\nAnswer: -57*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172 a factor of 323700223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (7 - -9) - 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*n - 1443806 = 13*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:08 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c = -55. Find the second derivative of -3*l**3 + 224 + c*l**3 + 4*l - 224 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2480)\/600 - 3\/((-45)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -844 - -878. Solve 0 = 5*a + x - 59 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1005, -2011, -3017, -4023?\nAnswer: -5029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 5*r + 1 + 3*r. Let s(i) = i**3 - 4*i + 4. Suppose c + 0 = 1. Give c*s(m) - 4*l(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.12+-1207435\nAnswer: -1207434.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225439046.\nAnswer: 2, 7, 1789, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9, -27, -79, -177, -333, -559?\n\"Answer: -2*h**3 - 5*h**2 + 11*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6*w)\/w*w**2*w)\/(w**(-2))**(-1\/96) assuming w is positive.\nAnswer: w**(431\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**2 + 227*y + 796. Let q be c(-53). Let j(u) = u - 1. Let h(x) = x + 13. Give q*h(a) - 2*j(a).\nAnswer: -a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9040 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 12*u**2 + 12*u - 4. Let g be m(11). Suppose -g*t = -4*t + 12. What is the units digit of t\/((-4)\/52*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.057 + -45.057. Let m = 55 + i. Let r = m + -9.24. Round r to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 423*i**7\/70 + 65*i**5\/12 + i**3\/6 - 736*i**2. What is the third derivative of l(t) wrt t?\nAnswer: 30456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 289.\nAnswer: -260.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2209, -2161, -2031, -1777, -1357, -729, 149, 1319?\nAnswer: 2823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:13 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 41*z - 177. Let k be a(-5). Let i(f) = -f**2 - 2*f + 9. Give i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**5 + k**4 - 2457*k**3 - 7*k**2 + 40*k - 5?\nAnswer: 300*k**2 + 24*k - 14742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3\/5 - 126846*j**2\/5 - 265635936*j + 53595146880 = 0. Calculate j.\nAnswer: -21240, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y - 1250651 + 1250651.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 542 - 352. Let o = -185 + j. Let w = 8 - 6. Solve 5*z - w = 4*x + o, -2*x + 16 = 4*z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72402508 to the nearest integer?\nAnswer: 8509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 15*c + 9. Let q be y(6). Let z = -39 - q. Solve o - 3 + z = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 2563*m**6\/6 - 5*m**2\/2 + 157*m + 1076. What is the second derivative of k(h) wrt h?\nAnswer: 51260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:13 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 - -5 - (0 - 3 - 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615430 is divided by 145.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-14) - (-6)\/21. Let w = -4 + 1. Let f be (4\/42)\/(1\/w). What is the third biggest value in -2\/3, l, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -46*w. Let u(q) = 29*q - 32995. Give u(h(n)).\nAnswer: -1334*n - 32995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + sqrt(1872)*1 + 2 + sqrt(1872).\nAnswer: 2 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 + 2*q**3)*(-66 + q**2 - 69 + 121).\nAnswer: 2*q**5 - 28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a3a (base 12) to base 3.\nAnswer: 20210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/5)\/(18\/(-90)). Let z be (-50)\/15 - (-6)\/n. What are the prime factors of (-5 - z)\/((-1)\/17)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 9052968*v**2 - 9052968*v**2 + 237*v.\nAnswer: -v**3 + 237*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 104*h**2 - 32*h + 38. Does 8 divide t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-177760.\nAnswer: -35552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27377, -22516, -17655, -12794, -7933?\n\"Answer: 4861*u - 32238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:03 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((-4 + -1 + sqrt(720))*1)**2 - (1 + 2 + (sqrt(5) - sqrt(10)\/sqrt(2)) + sqrt(5) + -1 + sqrt(5) + -1)**2).\nAnswer: -124*sqrt(5) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3 and (-280)\/(-3)*-3*(-8)\/864?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**(-1\/2)\/j)\/j*j*j\/(j**0*j*j*j)*j**(-3)\/j**(-3) assuming j is positive.\nAnswer: j**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:13 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20140)\/(-55) + 6\/(-33). Factor 10 - l*t**2 - t**3 - 21*t + 378*t**2 + 0.\nAnswer: -(t - 10)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-2)\/8*2. Suppose -7 - 3 = -5*l. Suppose 0 = -l*a - 0*a + 48. What is the highest common factor of j and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*w + 5 - 29, -3*w = 15. Let i be 32340021\/(-42) + n\/6 + 1. Round i to the nearest ten thousand.\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(-5\/3))*j)**(-3\/26)*j\/(((j*j\/j**13)\/j)\/j)*j**(-3\/7)*j*j assuming j is positive.\nAnswer: j**(2869\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 9:19 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27205688.\nAnswer: 2, 23, 199, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33774 and 44356?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 2485.3 (c) 1 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 3*d - 2. Let t(g) = -5*g**2 + 4*g - 3. Let y = 14 - 12. Suppose -3*z = -4*i - y*z - 12, 0 = 5*i + 2*z + 15. Calculate i*t(n) + 4*o(n).\nAnswer: -n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13728 + -10024514287.\nAnswer: -10024500559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5837 is divided by 262?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(57)\/sqrt(3) + 1.\nAnswer: 1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 3, x: 7, t: 1}. What is prob of sequence xwt?\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 + 14*q**3 - 2*q**3 + 21*q**3.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**4\/120 + b**3\/6 - 11*b**2\/20 - 35*b + 64. Let q(z) be the first derivative of n(z). Solve q(y) = 0 for y.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 + 3 - (1 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 7) to base 4.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0054 and -3.7549 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 l, and 1 k when four letters picked without replacement from {j: 2, l: 1, k: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2016 (b) 3\/5 (c) 0.3 (d) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -23507.55 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 8*k**3 - 1722*k + 3446*k + 3*k**2 - 1724*k to c*k + g*k**2 + b + a*k**3 and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 407.\nAnswer: 1\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -58*d**3 - 483*d**2 - d - 34. Let b(a) = -50*a - 138. Let p(g) = -36*b(g) + 5*r(g). Differentiate p(h) with respect to h.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-45) - 26\/120. Are 0 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -624 (c) -2\/11 (d) -2\/9 (e) 4 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 (base 7) in base 10?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0 - 14) + -90 + 61 + 21\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3259 or -23966?\nAnswer: -3259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.412195 millimeters in meters?\nAnswer: 0.003412195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17046, 17101, 17156, 17211, 17266, 17321?\n\"Answer: 55*g + 16991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in -2, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 21 in descending order.\nAnswer: 21, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*a - 1062, -7*z + a + 5278 = -2*z. Is 32 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0694 * 4\nAnswer: -0.2776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 3*m + m + (-1 + 5 - 1)*(60*m - 81 + 81).\nAnswer: 178*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 99 in descending order.\nAnswer: 99, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11956*o - 24060*o + 12115*o - 4*o**2.\nAnswer: -4*o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z + 0*z**2 - 2*z - z**2 + 7 + 2*z. Let m be s(3). Suppose 2 = -3*a + 5*a. Solve 0 = -5*r - 2*u + 4 + m, -u = -2*r - a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486829, -486826, -486823, -486820, -486817?\nAnswer: -486814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-245))\/((-41301)\/(-14826))\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**3\/m*m**(2\/7))\/((m**1*m)\/m)**(5\/8))**(18\/11))**(-13\/4) assuming m is positive.\nAnswer: m**(-10881\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-7))\/(3\/2). Let i be (-28)\/21*(-3)\/(-2). Let h = 0 - i. What is the nearest to 0 in h, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 40. Let s be c(-6). What is the first derivative of 51*x + 12 - s*x - 51*x wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000497017 to 5 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*a, -5*z - 2*a + 2 = -4*z. Let s = z + 2. Suppose s*f + 4*f = 100. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let k = 6 - v. Let h(w) = -w**3 + 6*w**2 + 6*w - 3. Is h(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 20*h + 16 + 12*h + 12. Let f be b(3). What is the greatest common divisor of f and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o**2 + 4*o**2 + o**2)*(-4 + 7 - 2) - o**2 + 2*o**2 + o**2 to the form h + z*o + t*o**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.432 - 0.068. Let w = p + -2.5. Let u be 4\/(-6)*18\/(-28). What is the smallest value in 0, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 45. Suppose 4*g + f = 21, -v*f + 35 + 1 = 4*g. Solve g*w = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3)*-3)\/(-1). Let x(m) be the first derivative of 9\/8*m**2 - 7\/12*m**3 + o - 1\/2*m. Factor x(k).\nAnswer: -(k - 1)*(7*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57122*t**5 + 163254*t**4 + 24048*t**3 - 227624*t**2 - 32448*t - 1152 = 0. Calculate t.\nAnswer: -1, -12\/169, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -15*j - 148. Let v be k(-10). What is the second derivative of 2*q**2 - 20*q**3 - 7*q**3 + 0*q**2 + q**v + 135*q wrt q?\nAnswer: -162*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**19)*(v\/(v*v**16))\/v*v)\/(v**(-12\/11)*v**(-10)))**(-40) assuming v is positive.\nAnswer: v**(10520\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10316 and 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n - 5. Let q(v) = -9*v - 11. Suppose 4*h = -5*d - 51 + 2, -3*d - 45 = 5*h. Suppose k = 3*k - 26. Determine h*q(l) + k*y(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39244.88 micrometers in millimeters?\nAnswer: 39.24488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1122\/5509?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 19*l**2 + 3*l**2)*(-2*l**2 + 0 + 0) + (0*l - 2*l**2 + 0*l)*(2*l**2 - l**2 - 3*l**2) - 6*l**4 + 3*l**4 + 2*l**4.\nAnswer: -31*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*l**4*u**2 - 398*l**4*u - 2*l**3*u + l**2*u**2 - 14*l**2 - 9*u**2 wrt l?\nAnswer: 768*l*u**2 - 9552*l*u - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -13 + 4 + -9 - (-1 + -8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1. Let l(n) = n + 53. Calculate 22*g(d) + 2*l(d).\nAnswer: 2*d + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/3 - 10312*b**2 + 588638*b\/3 + 681428 = 0.\nAnswer: -15487, -3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*o - 8803 = 4*w, w = -12*o + 15*o - 86 - 94 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.5, 0, -0.5, -1 in increasing order.\nAnswer: -4.5, -1, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4 + 14*a**2 + 48*a - 44*a**2 + 206*a**3 - 227*a**3 = 0?\nAnswer: -2, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-5) - (32\/20)\/4. Let m be 1 + v + (-14)\/1995*282. Is m greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.32 or 1.72795?\nAnswer: 1.72795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 263208019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7284.784 to the nearest integer.\nAnswer: -7285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(6\/13))\/f)\/f*f**(-1)*f**(-11)\/(f*f**(4\/3)\/f))**(-1\/8) assuming f is positive.\nAnswer: f**(541\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 76, -5, 0?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205016?\nAnswer: 2, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124.5 + -125. Let q(x) = x**2 - 5*x + 4. Let w be q(4). Put 1\/4, k, w in decreasing order.\nAnswer: 1\/4, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 22 = -3*f - 2*q, -f + 5*q - 6 = 0. Let j(h) = -2*h**3 + 6*h**2 - 8*h + 10. What is j(f)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 135?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/576*(-36)\/2*10\/6\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3608 + 6129. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*z + 5 = 27, 0 = -5*z - 25. Suppose 0 = u*o - 15 + 19. Let k be (-5)\/5*(-2 - -3). Is o not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**2 - a + 2. Let c(k) = 2*k**2 - 1. Let b(o) = 2*c(o) + y(o). Let w(f) = 86*f**2. Let i(x) = 4*b(x) - w(x). Factor i(p).\nAnswer: -2*p*(45*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3014440 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p. Suppose x + 5 = 7. Calculate v(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - j - 43, 0 = 3*k + j - 6*j - 11. Let d = k + -8. Suppose 1 = -h, -2*c - d*h + 36 = -0*h. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzszssssssszss. Give prob of sequence sz.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 1:42 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = l - 0*l + 74, -5*o - 3*l - 72 = 0. Let z be 6\/o - (-81)\/15. Solve p = z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*u - 402 = 0, 0 = 2*w - w + 4*u - 126. Let p = -134 + w. Suppose 75 - 431 = -p*f. Calculate the remainder when f is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -c + 264. Let s = c + -44. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*y - 1 + 191. Which is greater: y or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*u + 5, 5*u - 24 = 5*p - 64. Let q be (-6)\/(-9)*(7 - 1). Solve p = -q*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2 + 263\/4*y + 261\/4*y**2 = 0.\nAnswer: -1, -2\/261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = 2*f. Suppose 97 = f*g - 89. List the prime factors of g.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 12*f**2 + 4*f - 11. Let d = -8432 - -8444. Give i(d).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q*v**2 + 6*q*v - 109*v**2 with respect to q.\nAnswer: 2*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253499 is divided by 19493.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*c + 3*d, -5*c + 4 = -3*d. Suppose c*w - 3*k + 2 - 64 = 0, 33 = w - 2*k. Calculate the greatest common divisor of w and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2055043 - -4?\nAnswer: -2055036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (40 - (2 - 2)). Let g = s + -235\/6. Let z be 2 - 8\/(-36)*27\/(-12). Sort g, 0.2, z in descending order.\nAnswer: z, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2595 - -814. Let z = 2944 + c. Let j = z + -756. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:44 AM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -541437 (base 8) in base 5?\nAnswer: -21243043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478*r - 5*y = 476*r + 25052, 0 = -4*r - 2*y + 50128. List the prime factors of r.\nAnswer: 3, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77044 (base 8) to base 4.\nAnswer: 13320210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9285831*g**2 + 303584*g - 7.\nAnswer: 18571662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b + 29*b + 43*b = 1030 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387*y - u = -388*y + 2, 2*y + 4*u - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 89 + 2\/(-1) + 19\/(-19). Let n = y + -86. Let z = n + 264. Calculate the highest common divisor of 66 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2\/3) + 15. What is the third derivative of -26*g**2 + 46*g**6 - d*g**6 + 7*g**2 wrt g?\nAnswer: 4080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/14 and 89\/10005586.\nAnswer: 70039102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 76 + 94 = 0. Let g be 2\/(-3) - h\/6. What is the second derivative of -g*t**3 + 3*t + 6*t**3 - 2*t wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -10, -13410, -0.5?\nAnswer: -13410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/3 + 25311\/2310 + (-1)\/10.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 11*h + 109. Let v be a(13). Calculate the highest common factor of 144 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123840716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5*h + 6 + 3*h)*(0 + 0 + 2) to the form x*h + y and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.287 - 5.\nAnswer: -5.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (88\/(-6))\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 60 = -3*r. Let l = r + -15. Which is the smallest value? (a) 0.1 (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 9*z - 2. Let x be m(-9). Let h = 3376 - 53993\/16. Calculate the common denominator of h and (6*-2)\/(-3) - x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-160))\/((12\/(-10))\/3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*x - 923094 = 180*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2. Let t(b) = -b**2 - 4*b - 2. Let g(c) = 14*c**2 + 13*c + 12. Let n(l) = -g(l) - 6*t(l). Calculate n(k(z)).\nAnswer: -32*z**4 + 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/7)*x*x*x*x**(1\/10)*(x\/(x*(x**(-7)\/x)\/x))\/(x*x*x*x\/(x\/x**(1\/6)*x)*x) assuming x is positive.\nAnswer: x**(998\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*f**4*x**2 - 12409*f**4*x + 9*x**2 - x - 2746 wrt f.\nAnswer: -36*f**3*x**2 - 49636*f**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/1037? (a) -4 (b) -1 (c) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.4 plus 0?\nAnswer: -99.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or 419\/22?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11*l + 94. Let j be n(7). Solve j = 3*i + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (5 - 19) - 15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1 - 1 + 2 + 1 + k. Let c be q(-7). Let i(d) = -6*d**2 - 3*d - 3 + 0*d + 5*d**2. Calculate i(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 + -45. Suppose 2*z - 4 = 54. Calculate the remainder when p is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -2 + 1\/2*l**2 + 0*l. Let n(v) = 2*v. Let x(i) = 18*h(i) + 2*n(i). Let a(m) = -2*m. Determine a(x(s)).\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 17*u - 66. Let k be c(7). What is the units digit of k + (-6 + 30)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 3 + 9)*(440 - 2*d**2 - 44*d - 440) as g*d**2 + j*d + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-178*q - 10*q + 29*q)*(61 - 61 + 14*q) in the form g*q + v*q**2 + z and give v.\nAnswer: -2226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -591181.831 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/5, 2\/73, 1\/7, 2 in decreasing order.\nAnswer: 2, 2\/5, 0.2, 1\/7, 2\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 38155*c**2 + 2*c + 38149*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4132 + 2?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51404 (base 8) to base 15.\nAnswer: 646c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 54\/5 of a day?\nAnswer: 15552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.021 * -0.040122.\nAnswer: -0.000842562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nunnnnunnnnnunnnnnnn. Give prob of picking 1 u and 3 n.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, g: 1, b: 2, u: 1, z: 1}. What is prob of picking 1 z and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/(41\/(-1230))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 18*j - 7\/2*j**2 + 0*j**3 + 1\/4*j**4 + 0. Let m(l) = l. What is m(o(f))?\nAnswer: 3*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(6*i - i - 3*i)*(-2 + 2 + i + (-2 + 0 + 4)*(0*i - 3*i + i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 667 - 667. Let r(o) be the first derivative of 0*o**2 - 4 + s*o**4 + 4\/21*o**3 - 2\/35*o**5 - 2\/7*o. Find d, given that r(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 803 + 83*b**3 + 817 + 802 - 2422.\nAnswer: 83*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -42426 * 19892\nAnswer: -843937992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 11.77. Let g = d - 0.53. Which is the biggest value? (a) 3 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-4 + 4 + 7*y) - 2*y - 4*y + 4*y + (-2 + 2 + 3)*(-2*y - 1 + 1).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 11}. What is prob of picking 1 e and 1 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/7 and -71\/320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.001, 4, 0.1, 2\/9?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27 + (-3 - (-1 + 0)). Suppose m*o - 220 = 3*o. Let l(q) = 2*q**3 - 5*q**2 + 4*q + 3. What is the remainder when l(4) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-3))\/(-2) - 95. Let w = 160 + c. Suppose -2*y + w = 26. What is the remainder when y is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/116, 0.5, -2, 7 in increasing order.\nAnswer: -2, -15\/116, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25256 - -93367. What is the ten thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cccf.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 4*j**2 - 2*j - 4. Let g(n) = -2*n**3 + 5*n**2 - 2*n - 5. Suppose 8 = 5*u - 7*u. Determine u*g(s) + 5*a(s).\nAnswer: 3*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 14) to base 7\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 12 = -n, 36 = 10*n - 5*n - t. Let w(r) = 2*r - 12. Calculate w(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1274 - 1237. Solve b*g = 29*g - 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141200535 (base 7) to base 14.\nAnswer: 131a855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 5*r**2 + 7*r + 1. Let s be -7 + 8 + -4 + 2. Let n be ((-1)\/(-2))\/((-2)\/(-20)). Let a = n - s. Calculate v(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -15. Let a = 9 + y. Let t(s) = -2*s + 5. Let h(l) = 3*l - 1. Let b(r) = r - 1. Let n(g) = 4*b(g) - h(g). Determine a*n(w) - 3*t(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -84?\nAnswer: -5\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5414783 by -218.\nAnswer: 5414783\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 2. Let t be x(-3). Let j(d) = d**2 - 5*d - 2. Let g be j(t). Suppose 4*u = u + g. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59430 and 161310.\nAnswer: 1129170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*h - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 - s + 4. Let l(r) = -9*r**3 + r**2 + 2*r - 9. Let q(i) = -7*k(i) - 4*l(i). Let a be q(4). What is the tens digit of 1028\/6 - a\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.6418 (c) -2 (d) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**2 + 612*j - 319. What is i(87)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 0)*(-47)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {g: 2, r: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-4)*-5*(-16)\/30.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9466 - 1717 = 4*i - 5*u, i - 2*u = 1938. Let b = i + -927. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 689753 in 2, -0.2, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323 - 341 = -3*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8577397 to the nearest integer?\nAnswer: 2929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/12 + 4*t. Let b(f) = 15*f**2. Calculate b(k(p)).\nAnswer: 15*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-132)\/(-10))\/(18\/120). Suppose j = -4*m + 212. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -241 - -241.005. Which is the fourth smallest value? (a) 0.3 (b) i (c) 0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + -31 - (-17 + 37 - 32)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.7 - -47.7. Which is the biggest value? (a) o (b) -0.2 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 387*g + 32. Determine v(129).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 + 14*u. Let b be z(4). What is the highest common divisor of b and 860?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + 4*m)*(5*m**2 - 2*m**2 - m**2) + (-2*m**2 + 0*m**2 + 3*m**2)*(10*m + 18*m - 7*m) + 4*m**3 + 0*m**3 - 3*m**3.\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*o**3*w**2 - 52*j**3*o**3 + j**3*o**2 + 42*j**2*o**2*w**2 - 2*j**2*o*w wrt o?\nAnswer: 6*j**3*w**2 - 312*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 104.1, 2 in ascending order.\nAnswer: 2, 4, 104.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9 - 6. Let o = 125\/2 + -881\/14. Let g = -1 - -2. Sort h, o, g.\nAnswer: o, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 1. Let y be d(-1). Let s(f) = -30*f - 15*f + 8*f + 2. Is s(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmwm. What is prob of picking 3 b and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 10:33 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(-504)*(-18)\/(-330)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 - 5 - v**2 - 62*v - 4. Let n be p(-20). Solve -3 = -n*r + 30*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t, 5*t - 291 = -3*a. Suppose -5*u - 2*i + a + 1 = 0, -42 = -2*u + 2*i. Is 134\/7 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/7529851 and -53\/539.\nAnswer: 579798527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*m. Let o be (-12)\/(3 - m) - -9. Let b(j) = -j + 5 + 2 - o. What is b(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(3\/7)*r)**25)**(4\/7) assuming r is positive.\nAnswer: r**(2400\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2021 by 1.\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 5*f**2 + 3*f + 2. Let b be i(6). Is 9 a factor of (-29)\/(-2) + (-24)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 191084 + 2*m**2 - 191084. Let q(r) = r + 102. Determine b(q(y)).\nAnswer: 2*y**2 + 408*y + 20808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -26*y**2 + 4*y - 5. Let u(f) = 51*f**2 - 7*f + 11. Let a(d) = 7*p(d) + 4*u(d). What is the derivative of a(b) wrt b?\nAnswer: 44*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, 0.088, 0.1, 19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-216)\/102 + -5 - -7. What is the nearest to 6 in 0, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 7*f - 5*f**2 - f**2 - f**2 + f**2 + (-f + 4*f - f)*(-2*f - 3*f + f) + (2 - 3*f - 2)*(-f - 2 + 2))*(4*f**2 - f**2 - 5*f**2).\nAnswer: 22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (8 - -5) + -5 + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27876 divided by 138?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36)\/(-126))\/(3\/189*6). Let v(u) be the second derivative of 1\/48*u**4 + 0 + 0*u**2 - 1\/24*u**p - 6*u. Find s, given that v(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594885283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -35*t**2 - 15*t**2 + 19*t**2 - 1. Let z(q) = -q. Determine g(z(r)).\nAnswer: -31*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(8\/2 + -2). Suppose 0 = n*m - 33 - 55. Suppose 3*j = -0*j + 24. Calculate the remainder when m is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -28\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -2) + (-251)\/(-1). Let c = b - 148. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udjnkjcjjnncnkc. What is prob of sequence cu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7616 is divided by 3638.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 7) in base 14?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8998276 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 223 + 398. Suppose -5*k - 87 = -p. Suppose -4*m = -31 - 5. Calculate the remainder when k is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1 + 3*k**2 + 1 + k**2. Let z(i) = 7*i**2 + i. Determine 5*o(s) - 3*z(s).\nAnswer: -s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a factor of 33017863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 3*k**4\/8 - 7*k**2. Let v(n) = n**2. Give v(b(s)).\nAnswer: 81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5840 and 526.\nAnswer: 1535920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 1 = -837*f + 841*f, -35 = 5*y + 5*f for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 8) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/28 and -133\/616440?\nAnswer: 4315080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-18\/7))**30\/(p*p**42*((p**18\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(-946\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**7\/840 + s**4\/24 + 5*s**3\/6 + 4*s. Let l(j) be the second derivative of g(j). Find the first derivative of l(h) wrt h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-36) - 26\/(-12). Suppose -8 = 4*p - 5*h, 3*h + 26 = w*p + 8*h. Suppose p*n = -3*j + 642, -2*n = j - 0*j - 425. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 813, 378 in descending order.\nAnswer: 813, 378, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 409079655 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-11 - 1) + -1 - (-1 - 1)) + -5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 - 5*u. Let h(l) = l + 1367*l**2 + l - 2*l - 1369*l**2. Determine h(c(r)).\nAnswer: -50*r**4 - 100*r**3 - 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672 by -84.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -1, 3, 7, 6 in descending order.\nAnswer: 7, 6, 3, -1, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 862245.11 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. What is the third derivative of b**2 + b**2 + 2*b**6 - 2*b**2 - 3*b**y wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234 + 235 + 231 + 6*w**3 - 700.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5357.64 milliseconds to nanoseconds.\nAnswer: 5357640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 2 - (-5 + 2) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -717 and 0.0006451.\nAnswer: -0.4625367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 37*s**2 - s - 60. Let k(n) = -3*n. What is f(k(t))?\nAnswer: 333*t**2 + 3*t - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 10*w. Let t(m) = -25*m**2. Give n(t(x)).\nAnswer: -250*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*z + 2007*r - 2003*r, -3*r = -4*z - 16. Let m be (-32)\/(-24)*(-6)\/(-2). Solve 3*b - m*i - 7 = -3, -z*i - 2 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b1 + 5?\nAnswer: 7b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 425?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.29, -1\/6, -0.1, 3\/7, -49\/6, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 2912?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -31113 (base 5) in base 7?\nAnswer: -5633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300773816 to the power of 1\/3, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2980 is divided by 1366.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3662589421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20854?\nAnswer: 2, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78)\/4*(-12)\/9. Let f = 28 - i. Sort 5, 11, f.\nAnswer: f, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 d when three letters picked without replacement from iidhiid?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p - 33. Let b be o(5). Suppose b*u = 493 - 25. Is u a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (-24 + 18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -142, -169, -218, -295, -406, -557, -754?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 13*h - 45 = 10*h, -a - 4*h = -35. Solve 5*o = a, o = -u - 3*o + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-70))\/((-45)\/450)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 130 = -2*y, 7*l - 11*l = 2*y - 110. Calculate the highest common divisor of 952 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 7 - (6 - 7 - -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f - 80 = 0. Let b be -5*-4*(-12)\/f. Does 13 divide (-1053)\/(-18)*(-4)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 4:25 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ueeeuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4)*-7)\/(61\/(-12444)*-51)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8067869, 8067864, 8067859?\nAnswer: 8067854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3280\/14679 - -2\/1631. Let x be -1 + 2 + (-3 - -2). Which is the closest to x? (a) -0.2 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwe when three letters picked without replacement from {h: 1, e: 1, w: 4, z: 5}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2\/7 - 704625*b\/7 - 15502234\/7 = 0.\nAnswer: -22, 704647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-21)*-31 - (-15 + 5665\/385)?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = 0, -2*o + 0*r = 4*r - 86. Let z be ((-26)\/(-7) - 0) + 10\/o. Suppose -2*n**3 - 14\/9*n**z + 4\/3*n + 0 + 14\/9*n**2 + 2\/3*n**5 = 0. Calculate n.\nAnswer: -1, -2\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15174355 divided by -35?\nAnswer: -433553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 7*g**2 + 7*g + 8. Let d be m(-8). Let x be d\/(-76)*(-1)\/(-2). Which is the closest to 1? (a) -3 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 63. Which is the closest to z? (a) -4 (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Let m(g) = -6*g + 4. Let a be m(-6). Suppose 9*x + x - a = 0. Solve -x = 2*q, -v*i - 3 = -q - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3 - 12. Let o(r) = -r**2 - 6*r. Let f be o(n). Solve 3 = 3*h, h + f = 3*q + 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*q + 101 = 0, 6*a - 5*q - 300 = 3*a. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from {u: 1, x: 1, p: 1, a: 5, k: 1, t: 5}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**5 + 3*v**5 + v**5 + (2*v + 2*v - 5*v)*(-v + v + 2*v**4) + 7*v**5 - 25*v**5 - 11*v**5 - v**5 - 2*v**5 + 0*v**5.\nAnswer: -33*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 174\/220643?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3848882ug to kilograms.\nAnswer: 0.0000000003848882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*j + 25 = 2, 4*d - 2*j - 50 = 0. Let r = -6 + d. Suppose -k + 10 + r = 0. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18447662?\nAnswer: 2, 431, 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1907 + -1903. Let t(w) be the first derivative of 0*w**o + 0*w + 0*w**5 + 4\/3*w**3 + 0*w**2 - 20 - 1\/6*w**6. Find the third derivative of t(y) wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -2\/9 (c) 1\/4 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*w + 49, 16 = -2*w + 2*d - 8*d. Sort -1, 0, -4, w.\nAnswer: w, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 930 + -928. Let u(s) = 23*s**2 - 23*s**2 - 1 + s**3. Calculate u(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, y: 2, r: 5, o: 2}. Give prob of picking 3 y and 1 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 6*s - 4*s)*(0 - 4 + 2) + 3*s + 3*s - 4*s + 5*s + 113*s + 280*s + (-3*s - 3 + 3)*(-4 + 6 + 2) in the form n + x*s and give x.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 - 43 + 16*x**2 + (x + 4*x - 2*x)*(0*x - 4*x + 3*x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(19) + -1*sqrt(19))*-6 - sqrt(19)) + sqrt(19)) - -4*(sqrt(475) - sqrt(475)*-2)**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 - 120. Suppose 14*a + r*a - 3648 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 4. Let y be t(0). Let v be (114\/6 - 13)*(-23)\/2. Let q be ((-3)\/(-12))\/(-1) + v\/y. What is the greatest common factor of 34 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 34, -21, 14, 1, 90.\nAnswer: -21, -5, 1, 2, 14, 34, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x*x**(-9\/5)*x)\/((x**7*x)\/x*x) assuming x is positive.\nAnswer: x**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 + -0.5. Let h(a) = 2*a - 7. Let f be h(8). Let c = 6 - f. Sort 0.2, s, c in decreasing order.\nAnswer: s, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91, 102, 113, 124, 135, 146?\n\"Answer: 11*v + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 1. Let i = -107\/441 - -1\/49. Let t = 9 + -12. What is the smallest value in t, f, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -70608 and -70587 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51467 + 1?\nAnswer: 51470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 3, l: 2, h: 1}. Give prob of sequence ml.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 277215 = -3*j, -2*j = -3*m + m + 184810. Let x = j + 32405. What is x rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvpv when four letters picked without replacement from {b: 1, v: 3, p: 7, t: 5}?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32146329?\nAnswer: 3, 61, 175663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let f = 0 - y. Let a = 1 - 0.5. What is the third biggest value in a, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 3*k**2 - 5*k - 1. Let y(c) = 4*c**3 - 27*c**2 - 67*c - 6. Give -6*m(w) + y(w).\nAnswer: -2*w**3 - 45*w**2 - 37*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -40 + 10 - -76.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -639 divided by 2?\nAnswer: -639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2363688 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150702239 to the power of 1\/2, to the nearest integer?\nAnswer: 33922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12*m. Let y(h) = -73*h**2 - 2900*h. Determine v(y(t)).\nAnswer: 876*t**2 + 34800*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1297)\/(-5) + 8\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 118070 = 5*n + 31213, -5*g + 186615 = 5*n. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.2 - -8. Let s = -0.1 + -0.2. What is the closest to h in -1\/2, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 18*l**2 - 2*l - 1. Does 25 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = -5*h, 0 = 4*v + h. Let q(a) = a**3 - 6*a**2 + 4*a + 7. Let m be q(5). Find d, given that 6*d**2 - 6 - 42*d**3 + 44*d**3 + v*d - m*d = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*w + 96. Suppose -25 = -5*l - 9*o + 4*o, 4*o = -5*l + w. Suppose 1 = l*b - 3. What is the second biggest value in 1\/7, -5, b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 - 2*t. Give v(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 4:29 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/46 + 8*z**3\/69 + 3*z**2\/23 + 33*z + 2. Suppose l(j) = 0. What is j?\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/2 + 249*r**4\/2 + 1413*r**3\/2 + 2079*r**2\/2 = 0.\nAnswer: -77, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 2294 and 2366 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -5 (c) -36308505\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {y: 7, p: 1, j: 2, z: 3, w: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10 + 2*t**2 - 6 - 5 + 2*t**3. Let h be j(-1). Let z = -196 - -197. Which is the closest to z? (a) h (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {d: 10, v: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 times -0.055101?\nAnswer: 5.840706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 225?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*b + 14 = 0, -5*x = -10*b + 15*b for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 189370, 378731, 568092?\n\"Answer: 189361*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {r: 1, v: 2, b: 4, k: 1, y: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10393046 divided by -2\nAnswer: 5196523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 128735977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1506173 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3 (b) -0.1 (c) 0.141 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.438747 + -0.436947. Let q = h + -59. Round q to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0, -0.2, -7, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5672573453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5150987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t**3 - 244*t**2 + 6*t + 6. Let q(u) = u**3 - 22*u**2 - u - 1. Let b(d) = -k(d) - 6*q(d). What is i in b(i) = 0?\nAnswer: -376, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 1:05 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64634 divided by -3?\nAnswer: -64634\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85827515407637847\/125289972022101709 - 23\/85383860833. Let r = 17\/2309 - 346335\/46413209. Let k = r + d. Find the common denominator of -23\/2 and k.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 12 + 24. Suppose 0*k - 96 = k. What is the lowest common multiple of 6 and k\/40*(-15)\/m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3621186 is divided by 144846?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-5)*((-9)\/(-3))\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddwddwdddw. What is prob of sequence wwdw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400447 and 17548.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 556741 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 9:33 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.8 + -15.8. Let n = 13.99999957 + c. What is n rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179289000 divided by -450.\nAnswer: -398420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 38*w**2 + 394*w - 22. What is s(10)?\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-65)\/(-15) + 1\/(-3). Suppose -p*s - s = -1495. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 6*b**3 + 105*b**2 - 216*b + 108.\nAnswer: -3*(b - 6)*(b - 1)**2*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 587 + 145 = 2*w - 5*c, 0 = -3*w + 4*c + 1098. What is the highest common factor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 13621585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-236)\/(-8) + (1616\/707)\/(13\/91).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 + 22*m**2 + 110*m + 2. Calculate j(-4).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3113 in -1\/2, 5, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -19, -15, -7, 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 83?\nAnswer: -13\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -5605880\nAnswer: -2242352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47.76 + -48.16. What is the third smallest value in 0.08, 1, 20, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/47)*i*i)\/(i\/i**(-13)) assuming i is positive.\nAnswer: i**(-515\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvpp when four letters picked without replacement from vvvvppvpvvvv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d - 48*d + 1114 = 289 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**7\/2520 - y**6\/80 - 31*y**5\/20 - 31*y**2 - 1. Let l(r) be the third derivative of i(r). Calculate l(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/9*2\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9791044.\nAnswer: 2, 2447761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.4, -5\/6, 15, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43603231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130924930*d*r**3 + 4630*d*r**2 - 211*d*r wrt r.\nAnswer: 785549580*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2406 - 2406. Solve 0 = 3*n - 3*d - 16 - 5, c = 4*n + d - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52151 (base 6) to base 4\nAnswer: 1231003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.81 minus -0.03?\nAnswer: -8.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -9) + (21 - 9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 - -1.1. Let q = 0.72 - 0.11. Let c = q + b. Round c to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13087 + 6723. Is (-30)\/(-150) - t\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(98) + -1 + -3)**2 + 4.\nAnswer: -338 + 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 289 + -349. Let w = 59.99999967 + z. What is w rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = v + 104. Suppose 0 = 2*b + 8, 5*d - 146 = -3*b + 162. Suppose -d = 2*p - 6*p. What is the highest common divisor of p and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*n - 22*n - 2*n**3 + 38*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 443 - 424. Sort 0.4, 1, f, 5 in descending order.\nAnswer: f, 5, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122651 or 122653?\nAnswer: 122651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -108659.78 and 2?\nAnswer: 108661.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**4)\/h)\/h*h**34 assuming h is positive.\nAnswer: h**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 4*k + 34. Let l(p) = -p**2 - 6*p + 21. Let s be l(3). Does 4 divide v(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 34. Let s be q(12). Suppose -7*b - 19 = -s*b - 2*d, 5*b = 5*d - 10. Solve 5*y - b*y + 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -140 + 139. Let z(t) = -44*t**3 + 2*t**2 + t - 13. Let q(r) = r**3 + 2*r**2 + 1. Let w(a) = o*q(a) + z(a). What is the second derivative of w(l) wrt l?\nAnswer: -270*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.021306922 to 5 dps.\nAnswer: 0.02131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173 - -181. Let w(f) = 5*f**2 - 18*f - 8. What is the units digit of w(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + z - 3*z + (0*z + z + 0*z)*(-3 + 4 - 2) + 2*z - 6*z - z - 1 - 2*z + 1.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 181, 0, 60, 9, 11, -9 in increasing order.\nAnswer: -9, 0, 9, 11, 60, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -308.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 23*x**2 + 186*x + 1. Let m(c) = -7*c**2 + 2*c - 1. Calculate -3*m(l) - s(l).\nAnswer: -2*l**2 - 192*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-55) - (-168)\/(-165)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 242438356 + -3?\nAnswer: 242438353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:36 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5 in decreasing order.\nAnswer: 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**8\/20160 + g**5\/30 + g**2. Let f(j) be the third derivative of c(j). Let b(u) = u**2. Give b(f(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k - 11. What is the units digit of m(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 2:55 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 155401 - 764. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -58526649 from 14208.21.\nAnswer: 58540857.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*x - 2260 + 2258, 3*t = 19*x + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 4, -3.1, 22, 5, -789, -3\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4912 - 492. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 11. Suppose 4*i = -3*a + 16, 4*i + i = 3*a - 7. Let o be k(a). Let h be 4\/3*1\/2*33. Solve -3*c - h = -c + 5*t, 5*c - 3*t - o = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f - 16*f + 1770 = 0. Calculate the least common multiple of f and 162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 35, 7\/3, 7, -1?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 1. Let o(k) = 17*k - 194. Give 3*m(w) + o(w).\nAnswer: 5*w - 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.585358 rounded to 3 dps?\nAnswer: -0.585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1169)\/(-42) + (-741)\/(-342)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4\/4 - t**3 + 7. Let p be b(3). Solve p = 3*a - a - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.624 + 19.8. Let y = a - 0.176. What is the closest to 0 in y, 0.44, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, y: 3}. Give prob of sequence jyy.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1311540 and -5.04.\nAnswer: -1311545.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4811198968 - -10067590351. Let v = p + -5256391422.00000039. Let o = v + 39. What is o rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**8\/13440 - q**7\/10080 + q**5\/20 - q**2. Let k(d) be the third derivative of m(d). Suppose k(y) = 0. Calculate y.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*s + 23 = s, 2*o = -s + 1. Let b be 1*2\/o - (-1 - 1). Let k = 51 - b. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.2 (b) -94 (c) -3\/5 (d) 2\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*u**4*x - 240*u**4 + 2*u**3*x - 7*u**3 - 63249*u**2*x - 6*u*x - u wrt u.\nAnswer: 216*u*x - 5760*u + 12*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by ((-4)\/(-6))\/(152\/(-78) + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 15) to base 7.\nAnswer: -634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 23626 = 2*a, 2*a - 3*a = -5*g - 11848. Let r = a + -7991. Let d = r - 46019\/12. Find the common denominator of -89\/14 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/8*(-20)\/((-100)\/20). Let h(q) = 0*q + 2*q - 2 - 1. What is h(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5211887069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3)*(-44 + 50). Solve 0 = -3*g - 4*n - 1, -4*g + z*n - 5*n = -8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - ((14 - (1 - -13)) + -4)) + -13 + -87?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14531 + -8445. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + 70031?\nAnswer: 70054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-10)\/(-15)*-1*(-182)\/420*-2?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.744 + -24.744. What is the third smallest value in l, 5\/3, 4\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/(-84)*14*24\/140?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/25*5)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 52 = -m. Let n(h) = 5*h - 3. Let y be n(5). What is the remainder when 510\/y - (-2)\/(-11) is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 8:10 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24+-27\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 0 + 40 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7111 - 7058. Solve -23 = 10*h - m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -62?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -21*h + 20. Let j(m) = 20*m - 19. Let q(l) = 7*j(l) + 6*r(l). What is the derivative of q(t) wrt t?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 2864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssi when three letters picked without replacement from sissiis?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -27 in increasing order.\nAnswer: -27, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6043437 (base 10) to base 13.\nAnswer: 13379ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 61.00000033. Round d to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3773\/22 + 3)*22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -23, -0.5, 4\/5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = o - f, 5*f - 19 = 6. Suppose 2*u = 5*j - 5 + 26, 5*j = -15. Calculate the least common multiple of u - (-3)\/6*2 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 2660 + a**2 + 2*a**2 - a**3.\nAnswer: -a**3 + 2660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4480*u**2*v**2 - 1603*u**2*v - 29532325*u**2 wrt v?\nAnswer: -8960*u**2*v - 1603*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3*l**2\/2 + 20. Suppose -9 = -3*r, 3 = 5*a - 5*r + 8. Let c(o) = -4*o**2 + 3*o**a - 2*o**2. Determine y(c(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*q - 5 - 7*q - 9*q)*(4 - 4 - 1)*(-8*q - 2*q - 4*q) as t*q**2 + n + b*q and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v + 5*v. Put v, 1, -4, -19 in ascending order.\nAnswer: -19, -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/(-9))\/(-1)*36\/(-20). Suppose 3*t - a = -5*z, -t + 2*t - 4 = -4*z. Suppose 4*y - 4852 - 14088 = z. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -210 - -249. Let x(y) = -113*y. Calculate the remainder when x(-1) is divided by t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 10*f - 21. Let g be o(-5). Let k be ((-4)\/g)\/(1\/(-3)). Let v = -0.4 - -1.4. What is the nearest to k in -0.2, v, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 327, 2\/7, 0.042 in ascending order.\nAnswer: 0.042, 2\/7, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 32 = -v, 4*z = 2*v + 3*z - 64. Let y = 0 + 2. Calculate the smallest common multiple of v and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 x, and 1 d when four letters picked without replacement from {u: 7, x: 2, d: 3, z: 3}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-33) + (140\/44 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i - 2*i**3 + 5*i**3 - 144*i**2 + 52*i**2 + 50*i**2 + 43*i**2 + i**4 as p*i + k*i**4 + x*i**2 + l + h*i**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (14 - 45) - 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u**4 - 6818150*u**3 + 4870205*u**2 + 15584420*u + 3896100 = 0. Calculate u.\nAnswer: -194805, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(0 - (3 + -2)). Let s = y - 0. Sort 3, s, -3 in descending order.\nAnswer: 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {d: 2, c: 1, l: 2, x: 1, h: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 407905 and -0.1.\nAnswer: 407904.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 0, 4*o = -l + 8*o + 29. Suppose l = -3*w + 197. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 10 + 35 = 0. Let m = 17 - 12. Suppose m*o - 29 - 46 = 0. Solve 0 = 3*j + o, -3*g + 2*j + 3*j + r = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1325 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69970950 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b + 18. Let j(x) = -2 + 9*x + 3 - 28 + 8. Let p(g) = 3*j(g) + 4*n(g). What is p(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04325 - 2.79675. Which is the biggest value? (a) 0 (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179755 is divided by 89870.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 23*v**3 + 1. Let h be p(1). Suppose -2*y = 0, -2*k - k + 2*y - h = 0. Let o(n) = n**2 + 10*n + 9. What is o(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (52\/91)\/((-4)\/(-14)). Which is smaller: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r. Let m be w(1). Suppose 3*y = -m + 7. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2744602 + -0.2739. Round u to five dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -8. Suppose 0 = 5*q + 25, q = 4*c - q - 18. Solve u = c*y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i + 99. What is h(25)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 2*x**2 + 9*x - 10. What is the remainder when (-1 + 4)*(-16)\/(-3) is divided by h(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 5760 = 38*m. Calculate the smallest common multiple of m and 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(5\/3)*z\/z**(1\/6)*z**(3\/7)*z*z*z**3*((z\/(z**(-4)\/z))**(-33))**(-9\/8) assuming z is positive.\nAnswer: z**(6459\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1676 and -15272906.\nAnswer: -15271230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -0*b + 4*b + t, 2*b + 2*t - 14 = 0. Sort 2, b, 2\/7, 5.\nAnswer: 2\/7, 2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 158 + 282 = 0. Suppose 33 + 0 = -3*k. Let f = n - k. Calculate the highest common factor of 165 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p - 10 = 0. Suppose -1 = w - 4. Suppose -3*y + 2*y = 1, 3*y + 11 = 2*v. Sort p, w, v in ascending order.\nAnswer: w, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - x**2 - 2*x - 1. Let i be a(-1). Let d be (5 + i)*(-10 + -2). Let k = -3 - d. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1312*x**3 - 22*x**2 + 13*x**2 + 13*x**2 - 12*x**3.\nAnswer: 1300*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*c - 10538 - 13920 = -554*c - 7002 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/66 and -95\/15966.\nAnswer: 175626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(2\/7))))**(-14\/5)*h*h**(2\/13)*h*h\/(h*h\/(h**(3\/7)*h)*h))\/(((h*h**(1\/2)*h)\/h)\/(h*h**1))**43 assuming h is positive.\nAnswer: h**(17729\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -24. Suppose -b*m + 0*w = 5*w - 1437, -2*m + 5*w = -711. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 13*u + 11. Let s be y(-4). Solve -5*q - 10 = -s*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20842, 18319, 15796, 13273?\n\"Answer: -2523*n + 23365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g, 4*z + 0 = -3*g - 7. Let m be (14\/z)\/(2\/4). Is m\/(-2*3\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, s: 1, j: 10, r: 4}. What is prob of sequence jsz?\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 17*z - 31*z - 6*z.\nAnswer: -43*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 11*l = 0. Suppose l = -7*q + 11 + 24. Let n(m) = -m**2 + 2*m + 38. Calculate the least common multiple of q and n(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/((-5270)\/93))\/(1\/(-5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*q - 19 + 5 + 12)*(3*q - q - q) as g + r*q + j*q**2 and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -37*x - 3. Let q(b) = -149*b - 12. Calculate 2*q(m) - 9*s(m).\nAnswer: 35*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0 + 33\/2*h**2 - 15\/2*h - 21\/2*h**3 + 3\/2*h**4 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + (117 - 292) - -79?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/614672 and -99\/847048.\nAnswer: 69457936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -387823857*h**3 + 2471490. Let p(f) = 23538*f**3 - 150. Give 5*o(l) + 82383*p(l).\nAnswer: 11769*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 8*o = 3*x + 17, 3*o + 1 = -4*x. Put 1, 0, 4, -3, o in descending order.\nAnswer: o, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1165b - d49?\nAnswer: 10812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + w - 4. Let x be d(-3). What is the third derivative of -x*o**2 - 2*o**3 + 2*o**2 - 3*o**2 wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-10) + -1*1. Let q = -402.8 - -402.3. Which is the smallest value? (a) 2\/9 (b) o (c) 0.5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 + 28*z - 28*z + (-1 + 1 - 1)*(z**2 + 5*z**2 - 4*z**2))*(0*z - 1 + 0 + 2*z).\nAnswer: -14*z**3 + 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5057*k + 54679 - 85683 = -3679*k + 88882 for k.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-82 - -80)*((-10)\/24)\/(-5). Put q, -2, -2\/7 in increasing order.\nAnswer: -2, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 + -157. Suppose -5*t + 41 = 2*i, a*i + 5*t = 55 + 14. Solve -i*z + 10 = -23*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide ((-3)\/2)\/(3\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(1\/35)\/(l**(1\/16)\/(l\/l**(-27)*l)) assuming l is positive.\nAnswer: l**(16173\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8994 + -8996. Which is smaller: p or -1585?\nAnswer: -1585","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 3132?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 6. Let h be j(6). Let l = -8 + 9. Suppose 4*u - l - 3 = 0. What is the nearest to u in 2\/9, -0.1, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188*d*p**2*r*w**2 + 591*d*p - 605*p**2*r*w + 11*p*r*w - 4*p*w**2 wrt p?\nAnswer: 376*d*r*w**2 - 1210*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r - 13*r**2 - 10*r + 2*r.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 8 = -14*m. Suppose -2 - 15 = -t + 5*p, t + m*p + 4 = 0. Let v be (-100)\/(-36) + t\/9. Solve -y - y + 24 = 5*b, 4*y - v*b = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1481694 divided by -24?\nAnswer: 246949\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7732513 divided by 1.\nAnswer: -7732513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 0 + 0 + 0 + ((-2 + sqrt(108))**2 - (1 + (sqrt(3) - sqrt(108))**2)).\nAnswer: -12*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.67 times -350?\nAnswer: -10734.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*k + 2*w, -1046 = k + 6*w - 1049 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 2*w = 12, -17*z + 14*z + 4*w + 4 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Let m(p) = -4*p**3 + 2*p**2 + 2*p + 1. Let f be m(-1). What is the second derivative of -5*d**j + 4*d**3 + 3*d**5 + f*d + d**3 wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 - 3*k**2 + k + 1. Suppose -2*x - 82 = 4*q - 0*x, -q - 4*x - 31 = 0. Let c = -17 - q. Determine a(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 1, 2, -6, -310 in ascending order.\nAnswer: -310, -6, 1, 2, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16 - (-5 - (-18 + 7)). Suppose -h*b + 5099 = 869. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.34299 meters to millimeters.\nAnswer: 66342.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -2\/3*b**3 + 304*b + 0*b**2 - 296. Let w(s) = 2*s**2. Determine w(t(z)).\nAnswer: 8*z**4 - 2432*z**2 + 184832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2752 by -91.\nAnswer: -2752\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c = 44*c - 60. Suppose 0*o - c*o - 14700 = 0. Round o to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - a + 5*a + (0*a + 5*a - 3*a)*(3 + 3 - 4) - 12*a + 16*a + 27*a.\nAnswer: 37*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 385689, 1542791, 3471309, 6171255, 9642641, 13885479?\n\"Answer: 2*t**3 + 385696*t**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 949537994 to the nearest integer?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -40031 smaller than 520?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llry?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28474*d**2 - 11*d*z**2 + 5*z**2 + 44279*z + 2 wrt d.\nAnswer: 56948*d - 11*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**3 - 3*z**2 - 10*z + 23. Determine t(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**6\/960 - f**5\/64 - f**4\/16 + f**3 - 4. Let p(m) be the third derivative of y(m). Determine g so that p(g) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*y + 123 - 19, 0 = 2*y + 4*s - 26. Suppose 215 = 4*c - 469. What is the greatest common divisor of y and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 320857 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 7:16 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.1 (b) 1\/6 (c) 0 (d) 47 (e) -3.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 b when three letters picked without replacement from {b: 14, s: 4}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3 + 2*m**2*n**3 - 17*m*n**3 + 2*n**3 + 19 with respect to m.\nAnswer: 3*m**2 + 4*m*n**3 - 17*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 113. What is the first derivative of 147*y**2 + q + 35580*y - 35580*y wrt y?\nAnswer: 294*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -69\/386, -17, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 37 = 3*i, 6 = 2*m + m - 5*i. Suppose 5*d = -3*q + 97, 4*d - 84 + m = -3*q. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 - 61. Let s = -14 + v. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**2 + 748803342*t + 46725537082530747 = 0.\nAnswer: -124800557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10 (b) -10 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = -20. Find the second derivative of -3*p**b + 3*p + 5*p + 5*p + 11*p**5 wrt p.\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71\/42 + -9\/14. Suppose -s + 3*s + 2*m = -6, 2*m + 5 = -3*s. Let d be 3\/(-4) - s\/4. Is d at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38821\/3 - -13336. Let b = 387 - y. Find the common denominator of b and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 21*g + 16*g - 17 = 0, r + 3*g + 3 = 0. Let d(i) = -3*i - 15. Determine d(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-2*c + 2*c - 2*c) + 6*c - c - 4*c - 4*c - 3*c + c + (7*c - 2*c - 3*c)*(-1 - 1 + 4).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 15*n. Let a(b) = -54 - 9*b + 2*b + 54. Determine a(p(w)).\nAnswer: -105*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -903688 divided by 344\nAnswer: -2627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t = 24. Let w(a) = -3 + t + 14 + 3*a - 6. Let r be w(-4). Put -13, 0, r in descending order.\nAnswer: r, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*f**4 + f**3 + 13*f**4 + 19 + 12 - 9 to o*f + w*f**2 + c + p*f**4 + b*f**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 0*k**3 - 7*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -2, 2, 8, 16?\n\"Answer: h**2 - h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u + 8. Let o be u\/14 - 46\/(-14). Solve -x + 0*x + s + 9 = 0, 5*x - 13 = -o*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = 6*d - 701. What is the least common multiple of d and 8?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22760, 22788, 22838, 22916, 23028, 23180, 23378, 23628?\nAnswer: 23936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3280706422 to the nearest integer?\nAnswer: 57277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 44 - (-2668 + 2583).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f - 40*f**3 - 8*f + 3*f**3 + 59*f - 30*f.\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -442, -441, -440, -439?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-2) + 1\/(-1). What is the highest common factor of 7 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1388147379 by -462715793.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5290*x - 95156. Give i(-18).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - -22 - (1 - (-4 - -5)). What is the second derivative of -k*j**2 - 17*j**2 + 39*j**2 - 19*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(475))**2 + -5 + -2 - (-4 + sqrt(475) + sqrt(475)*-5*-2)**2.\nAnswer: -57022 + 450*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Let h(b) = 2. Let y(f) = -f - 6. Let v(d) = 7*h(d) + 2*y(d). Let n be v(-1). Let l(i) = n*i - 6*i - 2*i - 3*i. Calculate l(s(x)).\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7820867113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + -3 + 0 - (16059 + -16106)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/4973? (a) 4 (b) -1\/19 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47756 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/7 - (-11 + 9). What is the second biggest value in -2\/7, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {d: 1, y: 1, e: 1, q: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 687, 2046, 4077, 6780, 10155, 14202, 18921?\nAnswer: 24312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*o + 1031, 794 = -4*z - 2*o - 1248. Calculate the common denominator of 20\/9 and ((-2)\/4)\/(-4 + (-2080)\/z).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**4 + 42 - 40 - 13*v**2 - v**3 - v**4 + 4*v**4 to c*v**2 + q*v**4 + u*v + z*v**3 + f and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 + 58*l**3 - 144*l**2 - 328*l + 416 = 0.\nAnswer: -2, 1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604697 is divided by 604306.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 - 20280\/(-264). Suppose -10*t = -3*t - s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k + 1. Let q = k + 0. Let n = q + 19. Round n to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - -7) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1344044302 (base 5) to base 12.\nAnswer: -120b2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16352 and 896?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {x: 5, z: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 32*r**3 + 4*r**2 - 11*r + 6. What is the hundreds digit of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, b: 1, u: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 419, -2, 0.3 in decreasing order.\nAnswer: 419, 4, 0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 94072264.\nAnswer: 1975517544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -16*v**2 + 14*v. Let y(h) = h**2 - h. Let l = 53 + -56. Let j(g) = l*d(g) - 42*y(g). Let m(s) = 3*s**2. Determine m(j(u)).\nAnswer: 108*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from wccwpchcwqhc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/4*3255\/(-1395).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 + 120 = -3*y + 3*j, -y - 6 = 3*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48499220947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(((-8)\/2 - -24) + (0 - 7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*q = 4, 3*t + 3 = -q + 1. Let k be 1\/(-2)*t\/4. Suppose k = 5*v - 165 + 30. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*a = -12, -22 = -5*f - 2*a - 6. Suppose -21*w = -2*z - 17*w + 74, 5*z - 5*w - 200 = 0. What is the second biggest value in 1\/3, f, 4\/5, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*88*111\/(-74). Let n = -400 - u. Sort n, -2, -40.\nAnswer: -40, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4 - 3. Let d(p) = 6*p**2 + 2 + p**3 - 3*p**2 + 3*p**2 - 7*p. Let b be d(h). Solve 2*u = -5*r - b*u - 3, -2*u = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 255, 5.\nAnswer: 5, 9, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -72, -113, -164, -225, -296?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/4 + 2*z**3 + 9*z**2\/2 - 2*z + 3. Let j be g(7). Suppose j = i + 3. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.93841 nanograms in micrograms?\nAnswer: 0.03893841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 13. Let z = -2095 - -2102. Calculate c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 116*k**3 + 8*k**2 + 8*k - 28. Let b(u) = -13*u**3 - u**2 - u + 3. Give 28*b(a) + 3*s(a).\nAnswer: -16*a**3 - 4*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -155?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14057\/1509 - -9\/503. Factor -16\/3*d**4 + 4\/3*d + 0 - 8\/3*d**2 - x*d**3.\nAnswer: -4*d*(d + 1)**2*(4*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.546 + 0.454. Which is the nearest to 4? (a) 0.1 (b) g (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and 2.3417.\nAnswer: -110.0599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799 divided by 1?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -759.7 - -625. Let a = y - -144. Let n = a - 9. What is the nearest to -0.1 in 0.2, 5, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 3*t - 5. Suppose -6*u + 219 = -3*o - u, 4*u + 73 = -o. Let i = o + 76. Let m be (6\/(i - 0))\/((-2)\/(-4)). Give z(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o*o**6))\/o)\/(o*o**(1\/8)))**35*(o**0\/(o**0*o))\/(o**6\/((o**(2\/5)\/o)\/o)) assuming o is positive.\nAnswer: o**(-14519\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 4, h: 1, u: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 380217 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-58) - 190463\/(-166257)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -66. Let d(w) = -44*w - k + 40*w + 2. Calculate d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1208*q**3 - 612*q**3 - 610*q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3075*p**2 + 3*p - 581 wrt p?\nAnswer: -6150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -213\/10, -2\/15, 0.069, -5?\nAnswer: -213\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17634047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6414 or -6413?\nAnswer: -6413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfdfddfffffdffddfddd. Give prob of sequence fd.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15b9325 (base 12) to base 15\nAnswer: 5d5a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from hmqst?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -496*r + 486*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 358.91964ms to hours.\nAnswer: 0.0000996999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzqzzqqqqqzqzzzzzq. Give prob of sequence zzqz.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 1757 = -18*l. Let b be l\/(-40)*(1 - 1\/(-1)). Solve 3*f - b - 3 = z, -28 = -5*f - 2*z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:50 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**4\/12 + 2*g. Let b(j) be the first derivative of 8*j**3\/3 - j - 698. Determine -2*b(i) + 14*z(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -28*z + 0 - 5\/6*z**3 - 3\/2*z**2 + 29\/6*z**4. Find the second derivative of u(o) wrt o.\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, b: 6, a: 6}. Give prob of picking 2 b and 1 a.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p - 120. Let j be l(-18). Let k(n) = 10*n. Suppose -6 = -5*o - 3*a, -6*a - 12 = -o - 3*a. Let u(q) = -o*q + 4*q + 0*q. Determine j*u(d) + k(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 - 7*a**4\/24 + 5*a**3\/3 - 12*a**2 + 3. Solve f(g) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 54 = -10*u + 51 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j - 150. Calculate u(73).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*j**3 + 337*j**2 + 21880*j wrt j.\nAnswer: -228*j + 674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -21*n**2 + 18*n + 2. Let k(h) = -45*h**2 + 40*h + 4. Let u(f) = -4*k(f) + 9*v(f). Let w(r) = -44*r**2 + 11*r + 11. Determine -22*u(p) + 4*w(p).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5847*a**2 - 58462*a - 99. What is v(10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 70, 33, -96, -347?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-2)\/(18\/(-15)). Suppose 5 + 10 = -y*l. Is 64\/2 - l\/3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -d - 20, 0 = -4*j + d - 3*d - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -0.02 (c) -3 (d) -2\/991 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3. Let g(t) = -t + 4. Let l = 0 - -2. Let a be 6 - (2 + -1)*l. Let d(v) = a*u(v) + 3*g(v). Let p(h) = -3*h**2. Calculate p(d(z)).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(-3\/10)*d)\/d*d\/d**(1\/3)*d)**(-1\/96)\/((d**(-1\/3)*d**(-4))\/(d*d**3*d**(2\/5))) assuming d is positive.\nAnswer: d**(25051\/2880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -w + 10. Let t be (-456)\/(-33) - (-6)\/33. Calculate the highest common divisor of t and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16901, -12, -4, -3, -27 in descending order.\nAnswer: -3, -4, -12, -27, -16901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5956210 divided by -16?\nAnswer: 2978105\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4+-2136268\nAnswer: -2136272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -1\/2, 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*t + 460 = 4*t, -2*n - 4*t + 224 = 0. What is the remainder when n is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r - 11*r = -7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1817760 divided by -86560.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5*z + 15, 52 = -700*r + 696*r + 4*z. Let h(m) = -4*m**2 - 58*m - 179. What is h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/376 and 29\/705.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98.2 + -103. Let c = -4.9 - z. What is the second biggest value in -13, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 13*h - 30.\nAnswer: -(h - 10)*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 104?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.6 - 12. Put 3\/8, -0.5, -2\/9, m in descending order.\nAnswer: 3\/8, -2\/9, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70181287 to the power of 1\/2, to the nearest integer?\nAnswer: 8377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 18 = 9*i. Let p(h) = h**2 - 2*h - 1. Calculate p(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5107051*b*m + 10*b - 11980 wrt m.\nAnswer: -5107051*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 1251, 1877, 2503, 3129?\nAnswer: 3755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002495 rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-4) - 0)*72. Suppose -261 = -9*j - 18. Calculate the highest common divisor of j and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6337?\nAnswer: 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from pppppppapapapaupaaaa?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22423454 and 6058.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1443 and 1716?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**22\/m*m)\/m**(7\/2)*(m*m\/((m*m*m\/m**(1\/2))\/m*m)*m*m)\/(m*m**9*m) assuming m is positive.\nAnswer: m**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 2340161004?\nAnswer: -2340161010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*j - 11 = 0, v + 5*j + 3 = -4. Let s be (-3)\/v*88\/(-66). Sort -3, -11, s, 2 in decreasing order.\nAnswer: 2, s, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74.5 - -10.5. Let c = 78.02 - q. Let h = -7 - c. What is h rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**8\/210 + 33*m**4\/8 - 29*m**3\/6 - 22*m**2. Let z(g) be the first derivative of y(g). Differentiate z(i) with respect to i.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(7) - sqrt(7)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from {q: 10, f: 9}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = 4*h, 9*h - 8*h = x + 7. Let z(d) = 2*d**2 + d + 4. What is z(h)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/(-1040)*26)\/((-2)\/(-45)). Solve -6*i - d = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 18. Give y(-17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.1 - 63.6. Let g be 25\/(-165) - (-1)\/3. Let k be 0\/(-3) + (45\/(-6))\/5. Which is the fourth smallest value? (a) w (b) k (c) g (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153 (base 6) to base 7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 8. Let k(j) = 200*j + 199*j - 400*j - 8*j**2. Let a(h) = -h**2 - 9*h + 9. Let z be a(-10). Let b be k(z). Calculate t(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81135 or 81133?\nAnswer: 81135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {d: 6, y: 3, p: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.466868 greater than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127557.\nAnswer: 1127557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(sqrt(112) + sqrt(112) + (sqrt(112) + 1 - sqrt(112))))**2 - (sqrt(1008) + 3 - (-3 + ((2*sqrt(7))**2 - sqrt(7)) + sqrt(7))).\nAnswer: -7162 - 268*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96575908229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114000 + -43320?\nAnswer: -212320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnwunnwwnuww. Give prob of sequence wun.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -261*h - 537. What is z(0)?\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4*x**4\/3 + 184*x**3\/3 - 532*x**2 + 1640*x\/3 + 11200\/3 = 0.\nAnswer: -2, 5, 8, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:00 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*x - 7, -x + 4 = 5. Let t(d) = 365*d**2 + 33*d + 91. Is t(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -13. Let a = l + -4. Is -1 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -20, -8, 0, 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 14*y - 71*y + 56*y - 2 to r*y + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -82. List the prime factors of c.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248 + -121. Let a = -69 + k. Let m = a - 45. What is the remainder when 50 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5 + 1810*p**4 - 14290*p**3 - 227900*p**2 + 1528811*p - 1288430 = 0. Calculate p.\nAnswer: -11, 1, 5, 13, 1802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11405\/42 - -1979\/6. Let c = -969\/428 - -1899605\/32956. Let a = c - w. What is the common denominator of a and -53\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 35*w - 5*d = -24, 2*w + 3*d - 24 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 417 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7233 or -7232?\nAnswer: -7233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0 + 2\/3*p**3 + 15\/2*p**2 - p. List the prime factors of q(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 393?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/175*(-217)\/186.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 16*z + 139. Give h(-6).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2656*j**3*t*w**3 - 34*j**3 - 46*j**2*t**2*w**2 + 36*j*t**2*w**4 + 6*j*w**2 - 2*t**2 wrt w?\nAnswer: -15936*j**3*t + 864*j*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -91*h. Let o(i) = -3 - 25*i + 13 + 24*i - 10. What is o(s(c))?\nAnswer: 91*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211 (base 3) to base 6.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 893386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5, 195*v - 2*q = 193*v + 48600. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 556, 1109, 1790, 2665, 3800, 5261?\nAnswer: 7114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.43 - 0.538. Let q = d - 0.032. Let f = 0.1 - 0.12. What is the biggest value in f, -0.5, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 552?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 7:46 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/21 and -71\/147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 105*v**2 - 140*v - 4567. Determine i(-52).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206201*m + 206200*m = 3*p + 52, -10 = -5*m for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71990 is divided by 100?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/19? (a) -5 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307 = 124*w - 727 - 1942 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.8 - 42. Which is the third biggest value? (a) 0 (b) 2\/15 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27756\/(-5654))\/(4\/(-22))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from srsccrsr. Give prob of sequence ccr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 12:49 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, -14, -50, -92, -134, -170?\n\"Answer: g**3 - 12*g**2 + 5*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9762340 is divided by 62579.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -36. Let r = z - -0.8. Let p = -717\/5 + 143. Put p, 4, r in descending order.\nAnswer: 4, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gogghhgtggggggoghgoh. Give prob of sequence hth.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20\/29 - -399\/116. Calculate the common denominator of 99\/68 and h.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012789736 rounded to seven dps?\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 - -311. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 7:05 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -115. Let h = 26 - m. Let j = h - -37.8. Put j, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 25*r - 32. Let f be o(-27). What is the greatest common factor of 242 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68178179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 3*x**2 - 5*x - 6. Let d be t(-2). Suppose -2*p - b = -p - 20, -3*b + 15 = d. Suppose -4*a - p + 39 = 0. Which is greater: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 41 + 23)*(5*h - 2*h + h).\nAnswer: 176*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90191389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 426 or 427?\nAnswer: 427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.466542 milligrams to tonnes.\nAnswer: 0.000000006466542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/615784 and 22\/1209.\nAnswer: 1847352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**2 - 192211899*u - 64070634.\nAnswer: 3*(u - 21356878)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361 bigger than 4105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105095739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 9:20 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, h: 1, o: 5, u: 1, e: 1}. What is prob of sequence eoh?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111110101010101011 (base 2) to base 13.\nAnswer: 214619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 - 6*d**2 + 5 + 2*d**2 - 1 to the form x*d + w + z*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001403.6 rounded to the nearest 10000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 633.758 millennia?\nAnswer: 63375.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*c - 45*b + 43*b, 0 = c + 3*b - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*k - 64. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrii when four letters picked without replacement from {h: 4, q: 1, r: 3, i: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001876389438 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 21. Let x be -1 + 0 + g + 1. Suppose x*t - 4*t = -4, 3*v - 9 = -3*t. Calculate the greatest common factor of 3 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2 + 132*j + 20. Let f(n) = -16*n**2 + 416*n + 58. Let m(a) = -6*f(a) + 19*y(a). Calculate m(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28398 + -24625. Calculate the greatest common divisor of y and 5488.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 1\/195*x**5 + 0 - 10*x**2 + 7\/156*x**4 + 4\/39*x**3 - 1\/780*x**6 + 0*x. Suppose w(y) = 0. What is y?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 3*n + 0*n**3 + 0 + 5\/12*n**4 + 0*n**2. Let d(w) = w. Determine d(q(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + -7 + (82 - 60).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*i**2*w**2*x - 10765*i**2*w*x - 2*i*w**2*x - 47*i*w + i*x + 51*i - 18*w**2*x wrt i.\nAnswer: -154*w**2*x - 21530*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, c: 2, u: 1, h: 1, a: 2}. Give prob of sequence accv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4938446 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 5. Let b(u) be the second derivative of u**3\/3 - 2*u**2 + 13*u. Calculate 5*b(p) + 4*c(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -37, -3\/26, 1\/6, 1.8?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(1\/(-2)*1). Let k be -14*((-14)\/b)\/7. Solve k*g + 16 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/22 (b) 0 (c) -2 (d) -4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by 4\nAnswer: -81\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. What is the remainder when 25 is divided by c\/3*6 + 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q. Let i(a) = 3*a. Let z(k) = -2*i(k) - x(k). Let v(c) = 12*c. What is z(v(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1183100 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/3 + 650*w**3\/3 - 10209*w**2 - 63200*w\/3 - 31924\/3 = 0?\nAnswer: -694, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (sqrt(6050) + (sqrt(6050)*-3 - sqrt(6050)) - sqrt(50)))\/(3*sqrt(160)).\nAnswer: -11*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 4:14 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 4*t**2 + 5*t + 3. Let p be r(-5). Suppose -4*c + 927 = p*j + 124, -177 = -c + 4*j. What are the prime factors of c?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144884913*s**2 + 144884913*s**2 - 37276*s**3.\nAnswer: -37276*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(15390\/(-532))*-18\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Suppose 8*i - 3*i - 50 = 4*d, 0 = 2*d - r*i + 24. Let z = d - -27. 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: Simplify 0 + -5 + sqrt(684)*-2 + sqrt(684) + -5*(sqrt(684)*-2 - sqrt(684))**2 - (-2 + 5 + sqrt(684) + 0 + 0)**2.\nAnswer: -31478 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -19*x + 16*x + 9, -5*x = 115*q + 2085 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 10:13 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717085243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*n + 69*n + 98*n + 77*n - 1.\nAnswer: -24*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/204 + (-3)\/9)\/(5058\/(-1124))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 10 + 11 = 0. Let n = -3 - 5. Let k = 8 + n. Which is the second biggest value? (a) k (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from gxxgxgggggg?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.307 + -16.36. What is the biggest value in q, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3681561 and 30.\nAnswer: 36815610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67579913 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99421 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14575 by -34.\nAnswer: -14575\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 50, 0.3, 0.066, -7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**3\/3 + 5*p**2\/2 + 23*p - 225. Let y be b(7). Solve y*v + 16 = 17*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*c*h**3 + 31*c*h**2 + 1395*c*h + 2*c + 2*h**4 + 2*h**2 + 6*h wrt h?\nAnswer: -192*c*h + 62*c + 24*h**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -251082 (base 11) in base 12?\nAnswer: -171708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1815 - 2150 = 305*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) - sqrt(960)*-1)\/sqrt(5) + 2*(2*sqrt(3) + 3))**2.\nAnswer: 240*sqrt(3) + 1236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 11*w**2 + 4*w + 148. Let i be b(-10). Let c(o) = -o**3 + 8*o**2 + 2*o - 12. Give c(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktt when three letters picked without replacement from tttkttttttttttttttk.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230066041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*h + 7 = 0, 4*c = 2*c - 2*h - 12. Let t(k) = 7*k**2 + 30 + 4*k - 76 + 22 + 26. Let v be t(c). Solve -v = -3*m + 2*y, -y = -6*m + m + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (21 - 8 - 10 - 6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 19 - (-1 + 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1472 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4682)\/(-13) + (-14)\/91. What is the greatest common divisor of f and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1047 - 0.9253. Let j = 5 + -4.97. Let q = j + k. Which is bigger: q or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9 - -2.6. Let s = 1.1 - 1.2. Let v = -0.11 - s. Put v, p, 0 in ascending order.\nAnswer: p, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547 + 10*u**2 + 547.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 29*t**3\/3 - t**2\/2 - t + 7. What is the units digit of y(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007542152 rounded to five decimal places?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -12 + 0*p**3 + 11\/60*p**4 + 1\/300*p**5 - p**2 + 0*p. Solve j(x) = 0.\nAnswer: -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*x = 6*x + 4, -2*i + 5*x - 25 = 0. Solve -7 = -m + i*k, -4*m + 2*k + 1 = 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 3*c**2 + c - 3. Suppose -2*n + 19 = -3*p, -2*p + 6*p = 4*n - 32. Let j be 147\/p + (-2 - -2). Let q = j + 46. Give v(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4333 - 4333. What is the nearest to 1 in 6, -1, -0.18, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 7. Let f(d) = 4949619*d**2. Give j(f(k)).\nAnswer: 14848857*k**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - 6)\/((-4)\/(-30)*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -785166 divided by 392583.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 13. Suppose 3*k - t*w + 16 = -2*w, -3*k - w = 1. What is the third biggest value in 5, k, 0.05?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45207 + -72?\nAnswer: 45125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0639 - 0.0361. Is -1171 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/127? (a) 1 (b) 0.013 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 129322, 129309, 129296, 129283, 129270, 129257?\n\"Answer: -13*z + 129335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)*t)\/(t*(t*t**(2\/21)\/t)\/t))\/(t**(-2\/7))**(-3\/34)*(t*t\/t**(-2\/5))**50*(t**(-2)\/t)**(-2\/31) assuming t is positive.\nAnswer: t**(1284581\/11067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346563, -693183, -1039803, -1386423, -1733043, -2079663?\nAnswer: -2426283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*h - 13*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 35 in ascending order.\nAnswer: 3, 12, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2\/2 - 100161639*i + 3344117975722107\/2 = 0?\nAnswer: 33387213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 9 = 4*t + 1, 0 = -2*t + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1910 and 71\/1719?\nAnswer: 17190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-5) + 395\/25. What is the highest common divisor of x and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 45. Let d = t - 14. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 3. Let b be v(0). Suppose y - u = -3*y + b, -4*u - 12 = y. Suppose z = 3 + 2. Solve y = -0*g + z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180279*u**2 - 2*u - 36026 wrt u?\nAnswer: -360558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -802 at most -807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 0 + (-10)\/(-5). Suppose 3*z - 4*z = 3*o + 3, -5*o - 25 = l. Let y be 16\/330 + z\/90. Put 7, y, 0.1 in decreasing order.\nAnswer: 7, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + u. Let n = 80 + -38. Let q = -40 + n. Calculate z(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.097650416 + 0.09772. What is l rounded to six dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2\/5, 1\/12, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*w - 209, 4*w - o - 7 - 156 = 0. Let r = -53 + 58. Calculate the greatest common factor of w and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2 - 693492*b + 23576416 = 0. What is b?\nAnswer: 34, 346712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 28 - 4)*(3*k - k + 7*k)*(3 - 1 - 4).\nAnswer: -288*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m - 10 = 0. Solve -u - u - m = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**4 - 5*s**3\/3 + 17*s**2. Is 10 a factor of r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -225118 or -225117?\nAnswer: -225117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccqcqcqc. Give prob of sequence cccq.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493689.168 minutes to weeks.\nAnswer: 48.9771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2688044000 to the nearest one million.\nAnswer: 2688000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12393 + 9059. Which is greater: v or -3333?\nAnswer: -3333","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 780*g + 1548.\nAnswer: 3*(g - 258)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p**3\/9 + 12070*p**2\/9 - 14822*p\/9 + 926\/3 = 0. Calculate p.\nAnswer: 3\/13, 1, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 476750445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 13*z + 38. Let v be a(-7). Let r be ((-77)\/(-14))\/(2\/v). Let t(x) = -x**2 - 10*x + 4. What is t(r)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 5753?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n**2 + 3*n - 9. Let z be g(4). Let d = 481 + z. List the prime factors of d.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22498 and 5614?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -9*l + 24. Let d(j) be the first derivative of -1\/3*j**l - 1\/5*j**5 - 3 + 0*j**2 + 0*j + 0*j**4. Find the third derivative of d(m) wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/2*1*478595\/(-25870).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 < 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 1. List the prime factors of n(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/7? (a) -1\/6 (b) 1 (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g + 1. Let o = 0 - 1. What is the units digit of y(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2 - 520*y - 4. Let r(n) = 2*n**2 - 259*n - 2. Calculate -3*i(p) + 5*r(p).\nAnswer: p**2 + 265*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, 63, 94, 147, 228, 343, 498, 699?\n\"Answer: u**3 + 2*u**2 + 2*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, -4, 0.2, 0.1, 1 in decreasing order.\nAnswer: 1, 0.2, 0.1, -2\/35, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/7906036 and 32\/55891.\nAnswer: 86966396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 3) + -20 + 1. Let i = -24 - s. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 12:01 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696 and 83961496.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 - -87. Let x be (q\/(-4))\/5 - 13\/4. Which is the third biggest value? (a) -1 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 3198?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 + 40. Let g(n) = 7*n**2 + 27. Give 8*g(f) - 5*o(f).\nAnswer: f**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 13 = -4*h, 101*h = 98*h + 3*g + 9. Solve 0 = h*a + 430 - 436 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -17*b**2 - 6*b - 126. Let l(i) = -6*i**2 - 2*i - 47. Give 8*l(c) - 3*m(c).\nAnswer: 3*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -38369a1?\nAnswer: 38369a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -147520 rounded to the nearest one thousand?\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11267?\nAnswer: 19, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l - 3 + 5*l + l - 5*l - 5*l**2. Let j(m) = -6*m**2 - 4*m - 4. Give 4*h(d) - 3*j(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*l = 74678, 0 = 5*h + l - 127214 + 2704. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 82*m + 155. Calculate f(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**2*w - 139*j**2 - 70*w**2 wrt w?\nAnswer: 2*j**2 - 140*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -97.049. Let n = 0.351 - u. Put n, 0, 1\/3 in descending order.\nAnswer: n, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -1)\/(3\/33). Let b(q) = -5*q**2 - 11. Let h(a) = -a**2 - 2. Let w(r) = k*h(r) + 2*b(r). Let p(x) = x. What is p(w(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 - 3*k**2 + 48*k. Let o(u) = 2*u**3 - 2*u**2 + 24*u. Determine 3*l(d) - 5*o(d).\nAnswer: 2*d**3 + d**2 + 24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 1*sqrt(605) + 2)**2.\nAnswer: 88*sqrt(5) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -136\/3. Let f = -0.3 + -3.4. Let l = f + 3.8. Which is the second biggest value? (a) p (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16, -35, -60, -91?\n\"Answer: -3*r**2 - 10*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 10*i - 29. Let v be b(-16). Let l = 25532 + -228664\/9. Let g = v + l. What is the third biggest value in -5, g, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.79 + 0.79. Let x = p - -35. What is the smallest value in -5, x, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -t + 3*c, -c = 3*t + 2*c - 99. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78.1 less than or equal to -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h**2 - 8*h**2 + 8*h**2)*(1 - 1 - h + 0*h + 0*h - 2*h + (0*h - 4*h + 2*h)*(1 + 8 - 4) + 2*h + 3*h - 4*h).\nAnswer: 156*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 7*l + 3*q - 5, 5*l - 9 = -q. Is 2\/(l\/3) + 3776 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c + 3. Let o(v) = 9*v - 7. Let w(f) = 3*o(f) + 7*t(f). Suppose -4*k - 8 = -m, k = -2*m - 3 + 10. Let z(j) = 0*j - m*j - j + j. What is z(w(x))?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/4 + 8*c**3\/3 + 15*c**2\/2 + 22*c - 192. Is 5 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 3*n**2 - 4*n - 10. Let z be u(-4). Solve 5*a - 3 = z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 9 (c) 1\/5 (d) 2.14 (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -741, -1090, -1455, -1842, -2257, -2706?\nAnswer: -3195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2573, 5145, 7717, 10289, 12861?\nAnswer: 15433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 6. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425714959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 1\/2 (c) 3\/4 (d) -17 (e) -0.06 (f) -15\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 295929701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Let b(x) = x**2 - 8. Calculate b(p(g)).\nAnswer: g**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**5\/5 - 165*d**4 + 75024*d**3\/5 - 446340*d**2 - 2307552*d\/5 = 0.\nAnswer: -1, 0, 86, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 11. Sort 5, 2, z in ascending order.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(-g + 2 - 2)*(0*g**2 + 3*g**2 - 6*g**2) to the form l*g + c*g**2 + z + v*g**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61311676\/36675 - -86\/4075. Suppose 0 = -5*b + 4771 + 3569. Let q = k - b. Calculate the common denominator of 5\/3 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.244 * 0.3\nAnswer: -2.1732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30876 divided by -6?\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**3)**(-8))**38)**(-3\/28) assuming p is positive.\nAnswer: p**(684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b + 0*b - 3*b + 2 + 3. Let j(t) be the second derivative of -4*t**3\/3 - 3*t**2 - 3*t. Suppose 0 = 7368*s - 7355*s + 91. Calculate s*l(d) - 6*j(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*y + 24, 3*q - 7*y + 2*y = 46. Suppose q*m = 2*m + 5. Let b be (2\/4)\/(m\/230). Calculate the greatest common factor of b and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -34*1\/(-32). Let u be 11\/2 + (-12)\/(-24). Suppose t - x + 5*x = 11, -x + u = -3*t. Is t at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.65, -7\/4, -5, 3\/23?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 72728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 0*i + 0*i**4 + 0*i**3 - 7 - 11\/5*i**5 - 3*i**2. What is the second derivative of g(r) wrt r?\nAnswer: -132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {l: 9, i: 4, o: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4, 4*k + 34 = 2*i + 8*k. Find the second derivative of i*y**4 + 5*y - 54*y**4 - 21*y wrt y.\nAnswer: -468*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1938462)\/12)\/(1\/(-26)). Suppose g = 3*z + t, 2*z + 3*t = 2*t + 2800001. Round z to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6655) - ((sqrt(55) - (sqrt(440)*-4)\/sqrt(8)) + sqrt(55)))\/((sqrt(25)\/(sqrt(20)\/sqrt(4)) - -3*(sqrt(5) - sqrt(20) - sqrt(5) - sqrt(5)))*-5).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-752*z**2 - 699*z**2 + 1080*z**2 - 2*z**3)*(31 - 2*z**2 - 31).\nAnswer: 4*z**5 + 742*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 740\/9. Let d be ((20\/(-8) + 3)*1)\/2. What is the second biggest value in d, 0.3, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11177341 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 64813, 64816, 64817, 64816, 64813, 64808?\n\"Answer: -h**2 + 6*h + 64808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*q = -3*q + 32, -4*k - 4*q - 32 = 0. Let y(c) = -5*c - 32. What is y(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-9) - (-13)\/3. Suppose p = -0*p + 3*g + 8, -26 = -5*p + g. Suppose -t*j = -p + 25. Sort j, -2, -1 in descending order.\nAnswer: -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 417484 and 50386?\nAnswer: 2922388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + x**2 + 4*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*w - 12. Let s = w - -8. Suppose 96 = s*u - 4. Solve u = 4*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2775.3 and -1?\nAnswer: 2774.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*l - 1 - 23*l - 345*l + 1 in the form f + g*l and give g.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -53*k - 59. Give i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (6 + -1)) + -27 + 38\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 12 = -6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 33*s**2 + 14*s**2 + 0 + 0 + 2*s**2 + 0 + 0 - s**2 + (s - 4*s + 5*s)*(0*s + 0*s + s) - 3 + 2*s**2 + 3.\nAnswer: 47*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-87792)\/(-42) - (-2)\/(-28)*4. Let u = -1222 + l. What is the remainder when u is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.296 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3796 is divided by 292?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 8 = -5*k. Let o be (-1)\/(-6) + 3720\/144. Sort 5, k, o, -1.\nAnswer: -1, k, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*i - 428620 = 3*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*v + 43*v - 2024. Solve -18*k + v = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 2*b - 7. Let n(u) be the second derivative of -u**4\/6 - u**3\/6 + 2*u**2 - 35*u. Calculate -5*n(o) - 3*t(o).\nAnswer: o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002541603 to six dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = -149. Suppose 83*o + 18 = j*o. Sort 3, 2\/7, o in ascending order.\nAnswer: o, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m - 3 + 3)*(m - m - 2*m) - 70 + 72 + 2*m**2 - m**2 as r*m**2 + a + t*m and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 8841 = 5*w - 69851, 5*w + 4*t - 61011 = 0. Let h be 100\/8 - 1\/2. Suppose -2*d - w = y, h = -6*y + 2*y. Round d to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80253200 a multiple of 1252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-24 + 20) - (22 - -2).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 295*c - 185*c - 1870 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00157689089 rounded to seven dps?\nAnswer: -0.0015769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c - 250. Let m = -33 + c. Solve -4*q + 0*n = 3*n - m, -5*q + 2*n = -4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) 0 (b) -0.5 (c) -5 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*l + 157 = 0, 2*d - 71 = 4*l + 41. What is the highest common factor of d and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -9, -10, -9?\n\"Answer: u**2 - 6*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/4 - 2193*r**2\/4 - 13239*r\/4 - 19899\/4.\nAnswer: 3*(r - 737)*(r + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 65 = 5*x, x + 1 = 5*s + 2. What is the lowest common multiple of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1278 divided by 2\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 19096, -5, -100?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1*(350\/42 + -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88.1698 + -0.0302. Let w = n - -88. Let z = 0.6 + -0.1. Sort z, w, -0.5 in decreasing order.\nAnswer: z, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24194, -24192, -24190, -24188, -24186?\nAnswer: -24184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12954.2 + -12954. What is the smallest value in -10, h, 150?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 - z. Suppose c = -46 + 42. Let d(y) = 50*y**3 - 38*y**2 - 22*y - 2. Let r(q) = c*f(q) + d(q). Let r(o) = 0. Calculate o.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 448*y**4 + 122*y**2 wrt y?\nAnswer: 10752*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5509.4 times 157\nAnswer: -864975.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85)\/((sqrt(20) + sqrt(40)\/sqrt(2) + sqrt(20))\/sqrt(4)) + (-3*(sqrt(119) + 1*sqrt(119)))\/sqrt(7)))**2.\nAnswer: 19652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 22*l**3 - 5*l**2 + 9*l + 3. Is q(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = 6*z. Let j be 1\/((-7)\/(-2)) - (-1419)\/301. Let v be 3\/(3\/j) + z. Sort 3, -1\/6, v.\nAnswer: -1\/6, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 540 - 398. What is the remainder when o is divided by 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232677313 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 159 = -12*g. What is the remainder when g is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 29*c. Let x(z) be the second derivative of 7*z**4\/6 + 12*z - 40. What is x(u(y))?\nAnswer: 11774*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 59 = 37. Let m be (-40)\/g*(-12)\/10. What is the nearest to 2\/5 in m, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, 2, -4\/5, 1 in increasing order.\nAnswer: -4\/5, 2\/25, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -9.9. Let x be 6*(5\/4)\/(-5). Which is the nearest to -1\/3? (a) -1\/5 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 1)*50\/(-3250)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -7. Let t = z + 2.5. Let q = 27.878 + -23.878. Which is the third smallest value? (a) q (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 1034974?\nAnswer: 1034974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 25, 40?\n\"Answer: 15*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*((-5 + 3 + 1)*(d + 0*d + 11*d) + 1 - 1 + d)*(9*d**3 + 4*d - 4*d).\nAnswer: 198*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -153. What is the nearest to -0.1 in f, -2, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1005, -7914, -26621, -63024, -123021, -212510, -337389, -503556?\nAnswer: -716909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -7 - 11 - (-6 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(60)\/(sqrt(5)*-4*-4))\/(sqrt(576)*6 - sqrt(20)\/(-2*sqrt(5))).\nAnswer: -sqrt(3)\/1160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16420, -33379, -50838, -68797, -87256?\n\"Answer: -250*i**2 - 16209*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-615)\/(-2214))\/(5\/(-3))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 22*c + 14013. List the prime factors of u(0).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 1410.01.\nAnswer: 1405.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 0*a + 0*a + 1510*a**2 - 1515*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 53804634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 19 (b) -3\/4 (c) 1.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 1. Let r(u) = -3*u**2 + 12. Suppose -3*a - 3*v + 21 = 2*v, 69 = 5*a - 3*v. Give a*o(n) - r(n).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 8*y**2 - 8*y - 6. Suppose 34 = 5*n + 4. Does 18 divide i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1439224?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158652 and 1768689?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 11) to base 2.\nAnswer: -1010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**2. Let q = 6 - 1. Suppose 5*a - 4 = -4. Let o(w) = 7*w + 0 - q*w + a. Determine o(i(x)).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -5, -3, -13, -1 in descending order.\nAnswer: -1, -3, -5, -13, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 232357*a - 232049*a - 10301 - 21731 for a.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/(-5 - (-181972)\/36393) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2217465, -4435124, -6652783?\nAnswer: -8870442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 17. Let r(i) = 6*i**2 - 1. What is the units digit of r(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2846 - 0.0276. Let r = i + -0.157. Let z be (2 - (-3)\/(-1))\/1. Which is the biggest value? (a) z (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 130, 184, 252, 340?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*b + 3, -4*b + 7 = -5*g + 1. Let f(c) = -25*c**2 + 8*c + 8. Let u(s) = -25*s**2 + 6*s + 7. Let a(r) = 5*f(r) - 6*u(r). Is a(g) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = 2*f + 1, f = -3*c - 10. Suppose -f*i = 214 - 1464. Suppose j + n - i = -3*j, n + 65 = j. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 6*d + 30. Which is smaller: d or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -25, -11, 37, 131, 283, 505, 809?\n\"Answer: 2*f**3 - f**2 - 19*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*l + 7 - 190*l + 397*l + 29*l**2 as x + o*l + c*l**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000346478 to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -776\/4999 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421152 is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/11 + 512*i\/11 - 2080\/11 = 0 for i.\nAnswer: -260, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 608157327 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: What is -8836553 divided by 6?\nAnswer: -8836553\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - (((-28)\/(-12) - 2) + 193919\/(-2013)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -1 - (8 - 18). Suppose 2*w = -h + 2*h - r, 5*h - 13 = -3*w. Suppose -p - 2*p + h*n + 82 = 0, -2*p + 2*n = -48. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:46 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 238, 346?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*18\/4. Solve 22 = h + s*l + 2*l, -25 = -5*l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13004.75 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*o**3 + 2\/5*o**2 + 0*o + 0 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -25*w - 13. Let f(q) = -70*q - 40. Let s(c) = -6*f(c) + 17*r(c). Let y(v) = 22*v - 75. Let x(p) = 26*s(p) + 6*y(p). Determine x(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 2*y**3 + 0*y**3 - 9 to m*y**2 + w + l*y + h*y**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 7:20 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137.46 + 4.74. Let x = t + 31.8. Let q = x + -173.999923. What is q rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 11. Calculate the lowest common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 5*k**8\/28 + k**5\/4 + k**4\/12 - 3*k**3\/2 - 34*k. What is the third derivative of f(t) wrt t?\nAnswer: 1200*t**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177\/8, 384, 0.2, -0.3 in increasing order.\nAnswer: -0.3, 0.2, 177\/8, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 2*p + 5. Let w = 27 - 18. Suppose -10*n = -w*n + 4. Let m be z(n). Which is the second biggest value? (a) m (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162366 less than or equal to 162089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -172*n + 259*n + 198 + 324 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -290, -936, -2180, -4220?\nAnswer: -7254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 1. Let x(w) = -6*w - 66. Let v(d) = -4*d - 44. Let m(o) = 8*v(o) - 5*x(o). Let n be m(10). Let b = n + 40. What is f(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -3\/2 (c) 0.0702 (d) -2 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 19. Let t = j - 40. What is the third derivative of 2*r**4 - 2*r**4 - t*r**2 - r**5 + 2*r**5 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -193*u**4 - 1138*u**3 + 14528*u**2 - 35598*u + 22401 = 0.\nAnswer: -2489\/193, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -595, -2\/17, 3, -0.3, -231 in descending order.\nAnswer: 3, -2\/17, -0.3, -231, -595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*8\/100*5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252188079 divided by 11.\nAnswer: 22926189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -27 + 87. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -286 + 286.4. Which is the smallest value? (a) 0.2 (b) 2\/11 (c) o (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -2c?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120602, -120640, -120678?\nAnswer: -120716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7415783.\nAnswer: 7415783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (6 - -7)) + (-33 - -15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.2. Let q = -6 + 3. What is the closest to r in q, -2\/13, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**4 + 100*i**3 + 90*i**2 - 4420*i + 4225 = 0.\nAnswer: -13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2 + 14*n + 6. Let u be i(6). Let r = -35 - u. Let a = 21 - r. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 109. Suppose -x*u - 834 = -18*u. List the prime factors of u.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 20ed5?\nAnswer: 20ed5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 5*a + 10. Let m be k(0). Suppose -11*z - 29 = -5*w - m*z, 2*z = 3*w - 23. Solve w = -3*t + 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-24 - (14 + -12 + -16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 plus -463.3?\nAnswer: -104.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 11 = 5*f - 14, f - 5 = o. Suppose 4*w - 5*b - 309 = -4*b, 4*b + 4 = o. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**5 + 297933*r**4*s**2 + 19034*r*s**2 + 19*r wrt r.\nAnswer: 60*r**3 + 3575196*r**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 58, 102, 166, 256, 378, 538?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**2 + 4\/3*w**3 + 36 + w. Determine c(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 - 3*t**2 + 4*t**2)*((-1 - 4 + 4)*(0*t - 4*t + 3*t) + 443 + 4*t + 0*t - 449 - 9*t + 7*t - 18*t) to u*t + s + l*t**3 + n*t**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*x + 11. Let n(s) = -5 + 1 + s**x + 6*s**2 + 1 + s. What is the tens digit of n(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-12) - (-57)\/12. Is (t\/6)\/(24\/1116) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 29 + -24 + -25.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**8\/560 + n**5\/24 + n**4\/4 + 6*n**2. Let g(j) be the second derivative of r(j). Differentiate g(o) wrt o.\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2579, -2584, -2589, -2594, -2599, -2604?\n\"Answer: -5*q - 2574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*z - 3, -3 = -0*p - 3*p. Let v(d) = 0*d - d + d**3 + 2*d + 3*d**z. What is the units digit of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -832.9 - -833. Put -0.3, 4, k, 0.39 in decreasing order.\nAnswer: 4, 0.39, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1676 = 2*n, -5*n - u + 5266 - 1073 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6670 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*s + 1182 + 904 - 70 - 208 = 0 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**5 + 644*h**4 - 23552*h**3 - 192128*h**2 - 236544*h + 451584 = 0?\nAnswer: -4, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3)*1)**2*-1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 6. Determine z(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372629 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*o - 58*o + 133*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 + d**2 + d + 3. Determine l(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdnd when four letters picked without replacement from gznddn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*l**4 - 849*h*l**2 + 24*h*l + 5*h + 2*l - 21 wrt l?\nAnswer: -24*h*l**2 - 1698*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -8*m**2 - 136*m + 4. Let u be o(-14). Calculate the greatest common divisor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262410 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032114924 rounded to 4 decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/869440 and -1\/1196?\nAnswer: 19997120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9432146.9007126392 + 83.9003826392. Let x = 9432003 + w. Let q = -60 - x. Round q to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 9. Let x = 240 - 235. Let t(o) = -o - 4. Give x*t(k) - 2*h(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 8*w + 11*w - 19, 0 = w. Solve -10*r - b = -29*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2441*t + 26891 = 40446 + 30383 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e03 + -e32b?\nAnswer: -1322e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 42740909.1 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 28 = 8*f. Let m be 4\/f - 25\/(-35). Let i be -5*m*(-18)\/20*28. Calculate the highest common factor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17938 at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 50 = 3*r, -3*v + r - 34 - 27 = 0. Let a = 19 + v. Let a + 5\/3*t**3 + 0*t + 1\/3*t**5 + 2\/3*t**2 + 4\/3*t**4 = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**4\/12 - o**3 - 2*o**2 + 3*o. Let h be n(-4). Solve -l = -h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.05, -4634.\nAnswer: -4634, -0.05, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/5 + 42*a**4\/5 + 2*a**3\/5 - 1338*a**2\/5 - 2736*a\/5 = 0 for a.\nAnswer: -3, 0, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1120 divided by 4.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4 = 5*p, 16 = -3*p - 3*i + 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 = 2*d, 8 = 3*d - r - 10. Let s = -16 - -16. Suppose -2*o = -s - d. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2 + 3*y - 5. Let q(c) = -13*c**2 + 5*c - 11. Let i(d) = 5*n(d) - 2*q(d). Let x(l) = -5*l**2 + 6*l - 4. Calculate 6*i(s) - 5*x(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 6) to base 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 72 + 240 = 0. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - (17 + 72*72\/(-192))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -2*c**7\/7 + 11*c**6\/3 + 485*c**3\/3 - 438. Find the third derivative of d(t) wrt t.\nAnswer: -240*t**3 + 1320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = 3*b + 20, -4*b = 4*c. Let w(d) be the third derivative of 1\/24*d**c + 0 - 1\/6*d**3 + 0*d + 17\/60*d**5 - 10*d**2. What is w(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-3 + 3)) + 71 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*f = -7, 0*w = 2*w + 2*f + 2. What is the second biggest value in w, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16637200 to the nearest one hundred thousand.\nAnswer: 16600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 5*v**2 - v - 5. Let c be o(4). Let a(k) = 4*k + 9. Is a(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 31 + 55 = 0. Suppose -i + 979 = d*u, -i + u + 323 = -652. List the prime factors of i.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqdwroaaoqqaqadqddqq. Give prob of sequence dddr.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(-3) + (-6)\/(-2))\/2. Suppose 14*i = -d*i + 28. Which is the nearest to 3? (a) 5 (b) 1\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*p + 10310 = -1576 + 518 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2516.5008 months?\nAnswer: 20.97084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010548 to 7 dps.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -33*j**2 + 2. Let r(z) = -166*z**2 + 11. Let i(d) = -4*d + 237. Let u be i(62). Calculate u*o(p) + 2*r(p).\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1713, -1709, -1695, -1665, -1613, -1533?\n\"Answer: o**3 - o**2 - 1713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/23250*-15)\/(4\/120*-1).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7233130291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -60*p + 69 + 24 + 87 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 327 divided by 3.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44912 is divided by 197?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**3 + 0*a**3 + 12*a**3 - 7*a**3.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = a + 155. What is the remainder when 5174 is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + 23.14.\nAnswer: 22.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63 - -3?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a microgram in nanograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23142512.8 + -23823034.505. Let x = 680543.70499858 + v. Let b = 22 - x. Round b to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3+0.2\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + b + 2. Let j be u(3). Let y be (0 - 2*2\/j)*1. Let f(p) be the first derivative of -9*p**2\/2 - 1. Give f(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40445412 (base 6) to base 8.\nAnswer: -4324220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*s - 2*s + 0 - 1 + (s + s - 3*s)*(2 - 3 + 8) + 3*s - 3*s - 2*s to the form b + x*s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 13 = -a - 0, 0 = -a + 5*c + 17. Suppose a*n = 2 + 56. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 0)\/(4\/8). Suppose 404 - 122 = 4*c - 3*l, -y*c + 5*l + 148 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 78 = -2*m + 4*m, 5*m = -5*i + 100. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2, 11\/2, 5, -0.063, -184.1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 1 (c) -61\/12124 (d) -3\/4 (e) -0.3 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((3 + -6)\/3)\/((-10)\/4190)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 1933*c - 1933*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:31 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1935 and 8940345.\nAnswer: 26821035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 (base 7) in base 13?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279328 and 418992.\nAnswer: 837984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6190 = -7*s - 576. What are the prime factors of s?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 5. Let p(u) = -7*u**3. Let d be p(j). Differentiate -3*c**3 + 13 + c**3 - d wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -0.5, -99121271 in ascending order.\nAnswer: -99121271, -0.5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 722 + -459. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 6:19 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.1 + -14. What is the nearest to -1 in f, -3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = b - 12, 18*b = 3*s + 21*b + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -4*s - 0*s + 5*f, 4*s - 176 = 2*f. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0 + 2. Let p(k) be the first derivative of -k**3\/3 + k + 10. Let r(l) = -6*l**2 + 3. What is i*r(x) + 3*p(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 - 227. Suppose -66 = 11*w - 55. Put h, -4, w in increasing order.\nAnswer: -4, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 + 20*k - 8. Let y be u(10). What is the third biggest value in 5, 1, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141923254.\nAnswer: 2, 11, 113, 57089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from pmpmmpp.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. What is the closest to p in 1\/3, 3\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 11*b - 53. Give u(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + q + 12 = -41, -2*q = 2*i + 18. Let l = 47 + i. Calculate the remainder when l is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -56*x**2 + x. Let c be l(1). Let b = -95 - c. Let h = b + 71. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*a = -67*a - 4*w + 16, 0 = 5*a - 5*w + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-10))\/((-14)\/(-35)). What is the third derivative of -9*p**4 - 7*p**w - 4*p**2 + 3*p**2 wrt p?\nAnswer: -216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.08. Let f = i + 0.01. Suppose 5 = j - 5*u, -19*j - 5*u = -24*j + 5. What is the nearest to -2 in f, j, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 3*r**5\/20 - 7*r**4\/12 + 4*r**3\/3 + r**2\/2 + r. Let q be z(6). Suppose -q = -2*d - 3*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w + 6 = 0. Suppose -2*j - 5*x = 1, 2*j + 5*x - 4*x - w = 0. Solve -9 = -3*f - j*l, -2*l = -3*f - 3*l + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 14 = 7. Let d be (v - 1 - -3)\/((-9)\/(-6)). Suppose 4*b + 26 = d*a, b - 3 + 17 = a. What is the lowest common multiple of a and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**3 + 6*n**2 + 6*n + 4. Let i(x) = 14*x**3 + 17*x**2 + 17*x + 13. Suppose -33 = 3*w - 5*y + 38, 4*y + 52 = -4*w. What is w*g(z) + 6*i(z)?\nAnswer: -z**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llo when three letters picked without replacement from sllsssllsllololsls?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -544 + 586. Calculate the smallest common multiple of 24 and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4026*n - 4020*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/548 and 137\/36.\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2050574 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 25 = 7*w. Suppose 0 = w*s - 2*s - 18. Let h be (16\/(-24))\/(s\/10). Is h less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*g**3 - 152*g**3 - 194*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + 4*s**2 + 6. Let a(w) = w**3 - w**2 - 1. Suppose -12*r + 1276 = -r. Suppose 0 = c + r - 110. Determine c*a(h) - x(h).\nAnswer: -2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2229 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**7\/126 - d**6\/15 - 11*d**5\/60 - d**4\/18 + 2*d**3\/3 + 4*d**2\/3 + 33*d. Suppose f(y) = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.6. Suppose -15*d + 10 + 5 = 0. Which is the nearest to 0? (a) q (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 32 = -6*w. Suppose 4*b - 51 = -3*z, -4*b - 66 = -w*b - 3*z. Calculate the remainder when 27 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/6 - 637*u\/6 + 317 = 0. Calculate u.\nAnswer: 3, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 893 or 26?\nAnswer: 893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*t**3 + t**2 - 452*t**3 + 853*t**3.\nAnswer: -41*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -10. Let g = z - -10. Suppose 0*y - 268 = -3*y + 5*w, -3*y + 278 = g*w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.2335 centuries to decades.\nAnswer: 542.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*r - 18, -k + 18 = -4*r - 2. Solve f + f + k = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1056 + -929. Sort m, 3, 0 in increasing order.\nAnswer: 0, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1096 and 6576?\nAnswer: 6576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 59*s**2 + 176*s + 1. Let b be m(3). Calculate the greatest common divisor of 1066 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - -41?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + j + (4 - 4 + 3)*(2*j - j + 0*j))*(4*j - 3*j + 0*j)*(j - 4*j + 2*j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 29*d - 25 + 13.\nAnswer: -29*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, f: 2}. What is prob of picking 3 b?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 + (-3 + 1 + 3)*(-4 - 3 + 5 + 4 + 0 - 2 + (-5 - 1 + 5)*(5 - 2 - 1) + 4 - 5 + 2))*(-7*t + 4*t + 23*t).\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1704 + -73.\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29770.4988 - 29776. Let r = 5.45 + i. Round r to three decimal places.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/20 + 2*j**4 - 7*j**3\/3 + 20*j**2 + 27*j. Is g(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1334 and 9048.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-10)\/(-6)) + -2. Let m(p) = -80*p**2 + p + 16. Let x(c) = 27*c**2 - 5. Let i(d) = -2*m(d) - 7*x(d). Let y be i(l). Is -28 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Calculate the common denominator of -71\/28 and 1\/(6\/(-55)) + z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83289336 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 9*t + 28. Determine s(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v. Let o = -4 + 6. Let l(p) = -o*p + 5*p - 5*p. Determine l(q(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3884373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a hour in minutes?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 3:48 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 52 - 24 - 76 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 10*q**2 - 2*q**2 - 2 - q to g + y*q + w*q**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -66710361?\nAnswer: 66710364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 - 10*a**2 + 10*a - 2. What is g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idtxode. Give prob of picking 1 t, 1 i, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 11.7. Let c = 9.9 + k. Let y = 9.2 + -0.2. Is c at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 506095134?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w\/(w*(w*w*w**0\/w*w)\/w*w))))*w)\/((w**(-1\/5)*w)\/w*w) assuming w is positive.\nAnswer: w**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -369, -1284, -3095, -6108?\nAnswer: -10629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1237)\/(-13) - 12\/78. Let b = r + -86. What is the remainder when 1 + -1 - -1 - -34 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -1\/5, 0.2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p - 1. Let r(f) = -3*f**2 - 91*f + 186*f + 6 + 0*f**2 - 89*f. Suppose -2*h = 1 - 7. Suppose -5*c + h*c = 12. Give c*v(z) - r(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 208*n**2 - 100*n**2 - 104*n**2. Let f(u) = -21*u**2. Suppose -42 = -6*i + 48. Let j(z) = -5*z**2. Let p(h) = i*j(h) - 4*f(h). Determine g(p(r)).\nAnswer: 324*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10190332.\nAnswer: 2, 2547583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*u**3 - 240*u**3 + 117*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/7)*i\/(i*i**8*i))\/(i\/(i\/i**(-2)))**(-21\/8) assuming i is positive.\nAnswer: i**(-387\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -54.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*t = 104*t + 4836080. Is 99 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 243029 and -2806758.\nAnswer: -2563729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 96 (base 14) to base 6\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8024400 divided by -720?\nAnswer: -11145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594824327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -113 in 0.1, 4, -4, 1\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, z: 7}. What is prob of picking 2 z and 1 m?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*p - p + 20, p + 2*f + 16 = 0. Let w be 1*(4\/p*0 + 1). Sort 0, w, -1 in increasing order.\nAnswer: -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -49*k**5 + 40*k**4 + 143*k**3 - 21*k**2 - 56*k + 18. Let y(q) = q**5 + q**3 - q**2 + 2. Let m(g) = -y(g) + z(g). Let m(s) = 0. Calculate s.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 199 = -1375. Does 14 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29001958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*i + 125*i = -15. Is 4 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 + 6*d**2 + 4*d**2. Let x(h) be the first derivative of -2\/3*h**3 + 0*h**2 + 0*h + 11. Calculate s(x(m)).\nAnswer: 20*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 5, r: 1, q: 5, d: 6}. Give prob of picking 2 q.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 11. What is the highest common divisor of 4 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 8*v = 4*v - 27, -3*z + v - 12 = 0. Which is the fourth smallest value? (a) -4 (b) 2\/11 (c) z (d) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, 166, 721, 1490, 2467?\nAnswer: 3646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*n + n + 2*n)*(2 - 1 + 0) + 3 - 422*n + 561*n - 372*n)*(-2*n**3 + 3 - 3).\nAnswer: 460*n**4 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (300\/6)\/((-15)\/(-6) + -2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1496, 7, 858, 5 in descending order.\nAnswer: 1496, 858, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/3 (b) 8\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*a**2*b**2 + 8466*a**2*b + 743264*b**2 + 3303*b wrt b?\nAnswer: -114*a**2 + 1486528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - (-7 - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -62. Let s = d - -33. Is 0 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8595 and 2395140?\nAnswer: 2865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 - 370. Let z = h - -227.000111. What is z rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a**3 + 3*a**2 - 2*a + 1. Calculate p(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 143*t - 12. Let d(x) = -47762*x + 4004. Let s(n) = -1001*b(n) - 3*d(n). Is 11 a factor of s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3) + (18 - (-1 + 5)) + (215 - 216)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*k + 2 + 206*k - 7*k - 237*k - k**3 - 297*k.\nAnswer: -k**3 - 578*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -1, 332, 0, -12 in decreasing order.\nAnswer: 332, 4, 2, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2\/2 - 480*f - 25317\/2.\nAnswer: -3*(f + 29)*(f + 291)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 - 12*n**2 + 160*n = 0.\nAnswer: -20, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 229248?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/(-2*(-6)\/(-3)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -251*p + 18. Let d be h(2). Let o = d + 484. Solve -6*l + 4*l - 2 = o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/54 and -76\/45?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -8\/5*f**5 + 0*f**4 + 13\/3*f**3 - 4 + 0*f + 0*f**2. What is the third derivative of s(x) wrt x?\nAnswer: -192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/169 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6831 - 6244. Calculate the lowest common multiple of 2 and x.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 44 - 54 + 210 - 3*i + 6*i.\nAnswer: 3*i + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/((-2)\/(4\/(-34) - (-592)\/408)). Let r(a) = a - 7. Let d(q) = 1. Let b = 18 - 21. Let g(j) = b*d(j) - r(j). Determine g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 42*j**2 + 400*j + 84. What is k(-14)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 9. Suppose l - 2*l - 9 = 0. Is 9 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o + 21 - 121 + 44 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4968 (b) -252 (c) 0 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 1352*h - 1354.\nAnswer: 2*(h - 1)*(h + 677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3146+327739\nAnswer: 324593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -123*g + 2*g**2 + 243*g - 120*g. Let x(t) = 786*t. Give x(h(k)).\nAnswer: 1572*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 583 a factor of 998096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/971 or 605?\nAnswer: 605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25618, -46879, -68130, -89365, -110578, -131763, -152914?\n\"Answer: o**3 - o**2 - 21265*o - 4353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 6 (b) 5 (c) 4\/139 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2920, 2630, 2146, 1468, 596, -470?\n\"Answer: -97*f**2 + f + 3016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8311400 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-280) - (-5353)\/(-3710).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -198530*a - 195809 with respect to a.\nAnswer: -198530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let a = -60 - -55. Let x(p) = -p**2 - 5*p. Let v(n) = a*q(n) + x(n). Let m(j) = -13*j**2. Calculate m(v(g)).\nAnswer: -13*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6942.\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 6*l + 5. Let i be q(3). Let 0 - 6\/11*v**3 + 0*v + 4\/11*v**2 + 0*v**4 + 2\/11*v**i = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**2 - 10 + 10 + (4*y + 0*y - 2*y)*(2 - 2 - y) - y**2 + 7*y**2 - y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:38 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 595, 0.77?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*g + 13, -2*g + 518 - 525 = 3*x. What is the closest to -0.2 in 0, -1\/7, x, -3\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/78 - (-3)\/130*624\/234?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = u - 0*u. Let p = 899.071 + -898. Let q = p + -0.071. Which is the third smallest value? (a) 6 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.4? (a) -12 (b) 2 (c) 0.4 (d) 8 (e) 0 (f) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 9*o**2 - 3*o - 1. Suppose -20 = 294*y - 289*y. Calculate s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/5 - 11142*t\/5 - 1642656\/5 = 0. What is t?\nAnswer: -142, 3856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2548, -5100, -7654, -10210, -12768, -15328, -17890?\n\"Answer: -w**2 - 2549*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**2\/5 + 910*f\/3 - 8956\/5 = 0.\nAnswer: 6, 2239\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10208*d. Let p(m) = 237*m - 10. Give p(v(x)).\nAnswer: -2419296*x - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {z: 2, a: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211c99 (base 14) to base 16.\nAnswer: 11143f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*k + 15 = -47*k. Let h be (0 - 1) + (-58)\/(-22). Do h and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 491, 1691, 3691, 6491, 10091?\n\"Answer: 400*v**2 + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + y + 7 - 2, -3*y = 9. Let f be (p\/4)\/((-1)\/6). What is the derivative of -w + 3*w**3 + w + f wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791\/15367 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {e: 1, d: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3742.3km in nanometers?\nAnswer: 3742300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-24)*v*(((v*v\/(v\/(v*v**(-12\/13))))\/v*v)\/v)\/v)**(-2\/41) assuming v is positive.\nAnswer: v**(622\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*u + u + 12, 0 = -2*s - u + 6. Let f be (-6)\/2*(0 + -1). Differentiate -2*n**3 + f*n**s + 0*n**3 - 2 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/36*-3)\/((112\/8)\/126)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7497 + 7498. What is the nearest to -10 in s, -1\/39, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 154?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 1. Suppose -4*y + m = 2*m - 28, -2*y - 2*m + 8 = 0. Suppose 34*p - 104 = y*p. What is d(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2958, -11950, -26946, -47946, -74950?\n\"Answer: -3002*n**2 + 14*n + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**4 - 11*l**4 + 5*l**4 + (-4*l**3 - 2*l**3 + 5*l**3)*(-1 + 1 - 2*l).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/8 of a millennium?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-190)*(-36)\/27.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3566240 and 14012.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60564 divided by -721.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48780 - -48782.6077. Let b = -0.0077 + k. What is the fourth biggest value in b, -4, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5810, 5 in descending order.\nAnswer: 5, -1, -5810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 - (-2 + 2\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 35. Let k = i + 30. Let h be ((-8)\/12)\/((-2)\/9). Calculate the greatest common divisor of h and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190974?\nAnswer: 2, 3, 7, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -42*a**4 - 4*a**3 - 2*a**2 - a. Let l(r) = 83*r**4 + 7*r**3 + 5*r**2 + r. Let u(i) = 7*g(i) + 4*l(i). Find the third derivative of u(o) wrt o.\nAnswer: 912*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-161*f + 317*f + 150*f)*(1 - 1 + 3*f).\nAnswer: 1836*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let u = 8 + -6. Suppose -2*o = 4*g - 36, -o - u*o - 5*g + 49 = 0. Let b(h) = o - 2*h - 8. Calculate z(b(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.4. Suppose -148*x + 157*x = 9. Which is the closest to x? (a) 5\/4 (b) t (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2, -2 in ascending order.\nAnswer: -15, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328392852.\nAnswer: 2, 3, 27366071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.17 (b) -18 (c) 8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(-4\/9))*i\/(i\/i**13*i) assuming i is positive.\nAnswer: i**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 2, -1, -4, 282, 3 in descending order.\nAnswer: 282, 3, 2, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-6)\/(-12)))\/(1 - 8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + 6a?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*h + 2 + 26*h + 317*h + 139*h.\nAnswer: 533*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 - (-4 - -6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 1 + 2*c + c - 2 + c**2. Let o be ((-8)\/6)\/(6\/(-9)). Let v be p(o). Solve -v*m + 6*m = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5 + 18*k**2 + 16*k - 44*k**2 + 0*k - 113*k**2. Let g be t(-11). Round g to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/2 - 3*z - 1\/2*z**2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 125. What is the lowest common multiple of 30 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16805518?\nAnswer: 2, 43, 195413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496483 and 1378.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235653.\nAnswer: 3, 11, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 less than -137?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a - 33 = -67 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -2 (c) 0.3 (d) 7.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 6) to base 11\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11c - 6?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 9, -15, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**4 + 0*q**4 + q**4)*(-5*q - 3*q + 3*q).\nAnswer: 15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5130*b - 56981. Give u(-11).\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -106395.163 to the nearest one hundred.\nAnswer: -106400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/5 - 1\/30. Let b = -1 + 3. Suppose 4*x - b*x = -2. Is y <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pybabbammm. What is prob of picking 1 b and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2050*x + 1993*x + 2533251. What is the ten thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65.2 - -0.2. Let k = -73.002 + 0.902. Let l = k - j. What is l rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1573) + 1 + sqrt(1573) + -3 - 4*(sqrt(1573) + -2))*4 + -5)**2.\nAnswer: -3168*sqrt(13) + 100996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642891.8 rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 + 0*k**2)*(-231 + 231 - 5*k).\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 216328666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001248861 to 6 dps.\nAnswer: 0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 - -115. Suppose -v*d + 4 = 0, 3*w + 2*d = -0*d + 100. What is the highest common divisor of 56 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 561*w + 17640.\nAnswer: 3*(w + 40)*(w + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -433 - 5.\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/109 (b) 5\/19 (c) -0.4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 6963*z = 6959*z - 78, -29*p + 5*z = 9*p + 3278 for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 9:17 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -13, 27, 95, 197, 339?\n\"Answer: i**3 + 5*i**2 - 4*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -17*p + 13 - 12 - 42*p + 13. Let g be n(-7). Suppose -9*l + g = 148. What is the remainder when 185 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 13*u - 10. Let i be j(8). Let c(g) = 16*g**2 - g - 2. Let h be c(2). What is the highest common divisor of h and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - u)*(2 - 6 + 2) + (4 - 2 - 4)*(11 - 2 + 1)*(2*u + 0 + 0).\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 1)*49\/980*10. Solve -n*t = -4*r - t + 26, -2*r + 5*t = -25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 23)*3\/4. Let a = -40 + w. What is a rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -2 - 5) + 14\/3. Factor 1\/3 - c*a + 1\/3*a**2.\nAnswer: (a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 1763340?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/14)*q**(-5)*q\/(q\/q**5)*(q*q*q**5)\/q)\/((q**1)**(-38)*(q**(-1\/3))**(-5\/13)) assuming q is positive.\nAnswer: q**(24539\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 717*h + 186*h - 4128 + 4128 as d*h + a and give d.\nAnswer: 903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 24 = 0, 0 = 3*f - 5*r + 2*r - 106371. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 + 44*c - 36 + 68 to z + d*c and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3051*k**6 - 2*k**5 - 1251*k**2 + k + 2.\nAnswer: 366120*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 189393 (base 14) to base 5\nAnswer: 210324230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1846 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 4*v + 2*v**2)*(2 - 2 - 1) + 1192*v**2 + 3334*v**2 + 512*v**2 to the form o*v**2 + u*v + h and give o.\nAnswer: 5036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**2 + 15*t**2 - 21*t**2.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11200212112211 - 0?\nAnswer: 11200212112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -43, -5, 2 in descending order.\nAnswer: 8, 2, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -55611189, -55611190, -55611191, -55611192?\n\"Answer: -j - 55611188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3*k*k*(k\/(((k**12*k)\/k)\/k))\/k)\/(k**(-2\/3))**19 assuming k is positive.\nAnswer: k**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 0 - (4 - 53). What is the units digit of j\/21 + (-1)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 4*l + 3. Let s(c) = c. Let q(h) = f(h) - 2*s(h). Suppose 2*i + 3*i = 4*y + 26, -4*i + 5*y = -19. Calculate q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425293751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:01 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111000110100111001 (base 2) to base 12.\nAnswer: -519621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n + 18*n - 404619 = -85611. What are the prime factors of n?\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775251 and 82161.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**3\/6 + 4*u. Let i(x) = -5*x**2 - 13*x + 13. Let y(p) = -2*p**2 - 6*p + 6. Let s(k) = 6*i(k) - 13*y(k). Calculate z(s(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/6 - 680\/(-255). Solve 4*a - j = 15, 2*j + 18 = n*a + j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822 equal to 3821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*(-5 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*t - 106, -2*t - 146 = -4*n - 0*t. Let s = n - 22. Calculate the remainder when 25\/(-4 - 5\/(-1)) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31593976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 71.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b*b*b**(2\/7))*b**0*(b\/((b\/b**(-5))\/b))\/((b*b**(1\/6)*b)\/b*b))\/((b**(2\/5)*b)**17*(b\/(b*b**(1\/3)))**(-1\/7)) assuming b is positive.\nAnswer: b**(-333\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-8 - -6) - -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8747.97 - -8748. Put 1\/9, 4, o, -7 in increasing order.\nAnswer: -7, o, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*h**4 - 1122321*h**3 - 2*h**2 + 4984025*h - 30 wrt h.\nAnswer: 648*h**2 - 6733926*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118047 and 654.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/18 - ((-248924)\/9048 - -38).\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/15283050 and -43\/6.\nAnswer: 15283050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2813334.58 and 4.\nAnswer: 2813338.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196\/39 + -745\/156. Sort 9, 0.1, p, 0.3.\nAnswer: 0.1, p, 0.3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331*u - 28160 = -363*u. Calculate the lowest common multiple of u and 121.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 9) to base 11.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -608 + 609. Sort 15, -3, s, -3\/5 in increasing order.\nAnswer: -3, -3\/5, s, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 21*n - 8 - 39*n + 35*n**2 + 12.\nAnswer: 35*n**2 - 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 15. Let l(s) = -k + 2*s**2 + 6*s - 3*s**2 + 1. What is l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q. Let u = -305 - -306. Let o(l) = -l. Let v(m) = 7*m. Let j(a) = u*o(a) - v(a). Calculate j(z(k)).\nAnswer: 48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n + 6. Let h(o) = 2*o + 4. Let m(z) = 7*h(z) - 5*w(z). Let y = -1108 - -1108. Suppose -8*a + 39 - 23 = y. Calculate m(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0*o**2 - o**2 - o**2)*(16*o**2 - 76*o**2 + 23*o**2).\nAnswer: 148*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6946, -560, 1 in decreasing order.\nAnswer: 1, -560, -6946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -18 - (135 + -124)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 4, 26, 58, 100, 152?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -137 (b) -2 (c) 333 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*sqrt(2448) + 4 + sqrt(2448) + -2 + sqrt(2448)*2).\nAnswer: -48*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1232.1423 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2 - 3 + 8*l**2 - 8*l**2 + 15*l**2. Let o be c(1). Suppose -s - 5*q = -3*s, -q = -2*s. Solve s = 4*j + o + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 + 363*d + 7865\/2.\nAnswer: (d + 11)*(d + 715)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - 4 = 0. Suppose -279 = -p*q - 39. Calculate the highest common factor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1100\/187 + (-63)\/34*-6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*w - 123 + 123)*(24 - 24 - 21*w).\nAnswer: 1470*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 + 344*s + 2486. Calculate b(-66).\nAnswer: 1562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**3 - 66*c**2 + 44*c + 49. Let p(a) = a**3 + 13*a**2 - 9*a - 10. Let s(x) = -11*p(x) - 2*u(x). Does 11 divide s(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 j when three letters picked without replacement from xlmjgjh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30087 by 10029.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203493 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -177 - -1235\/7. Which is the nearest to -3? (a) -1 (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -1\/4, 2\/107?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) 1 (c) -5 (d) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 4*(1 + -3). Let n = t - -6. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.2, 3, 0.5, -20074573 in decreasing order.\nAnswer: 3, 0.5, 0.2, -0.5, -20074573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.88108 to two dps.\nAnswer: -40.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303028.\nAnswer: 2, 11, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/145040 and -113\/15636?\nAnswer: 566961360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 16509, -6, 110, -8 in descending order.\nAnswer: 16509, 110, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -402 + 287. Let h = i + 114.8. Which is the fourth biggest value? (a) 3 (b) -3 (c) h (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-44)\/(-70)) - -3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 11, -18, 6 in increasing order.\nAnswer: -18, -4, -1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggpapqaaacpaw. What is prob of sequence apq?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*o + 22065 - 22065 as h + v*o and give v.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 8*z + z - 432 = 0. Solve 49*j - z*j = -46 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402743335 > 2402743336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-1 + 0)*-7. Find the first derivative of 3*c**o + c**3 - 5*c**4 - c**3 - c**3 - 14 wrt c.\nAnswer: -20*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/124068 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 45. What is the third derivative of r*c**4 - 5*c**2 + 5*c**4 - 5*c**4 - c**2 wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*o + 4250 = 0, d - 4*o = 1805 - 399. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 15717*c + 47147*c - 15712*c - 23 - 15712*c.\nAnswer: 6*c - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8239 = -3*f, -k = -5*k - f + 6598. List the prime factors of k.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411.33 + -2553153072.\nAnswer: -2553153483.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 0.3 (b) 2 (c) -4\/3 (d) -8\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 1042\/(-41) - (-60)\/(-80). Let r = 1243342\/41 - 30322. Let q = c - r. Calculate the common denominator of -37\/10 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 79*u**2 - 18*u + 5. Suppose 3*h + 2*n = -176 + 174, 5*n = 4*h + 18. Does 7 divide k(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1641*u*x - 14*x + 3 with respect to u.\nAnswer: 1641*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -14. Let m be (o - 0)*749\/(-7). Suppose 0 = 2*j - m - 17. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + 6*-2*sqrt(88))*-2)\/(-3*-1*sqrt(512)).\nAnswer: 11*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -605524220 divided by 152180?\nAnswer: -3979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109 + 733. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -11001100100?\nAnswer: 11001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxxxxkg. Give prob of picking 2 x and 2 g.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -199\/1792560 and -31\/22407.\nAnswer: 1792560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2149 and 0.011.\nAnswer: 0.0023639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1 + sqrt(343))*-3 + -5 + 2)*6*-5)**2.\nAnswer: 2778300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(68) - sqrt(68)*2*-3)**2 + (sqrt(68) - (1 + sqrt(68) + -1)**2) + 0 + (sqrt(68)*-2)**2 + sqrt(68).\nAnswer: 4*sqrt(17) + 2652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 - 171. What is the remainder when 11 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-4)*(-4504)\/(-29276)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700659736 a multiple of 2181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 1288242.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -5.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmehhmeheeheem. What is prob of picking 4 m?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faapipfwfiwwwuu. What is prob of sequence af?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32320\/(-1840) + (-20)\/46.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 50*z**4 - 5*z + 297*z**2 - 83*z**5 - 77*z**2 + 88*z**5 + 105*z + 165*z**3 = 0.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 296*d - 292*d + 3*b + 32, 0 = -5*d - 4*b - 41 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.929 * 8.\nAnswer: -63.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 1.1 (c) -0.4 (d) -852 (e) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*t - 11 + 11 + (-1 + 1 + 2*t)*(-1 + 3 - 1))*(3*t**3 - 2 + 8*t**2 - 1 + 1) as j + r*t + a*t**4 + n*t**3 + h*t**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*r + 9180 = -259*r. What are the prime factors of r?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 - -1c8906?\nAnswer: 1c893a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m + 25. Let d be g(7). Let j be (4\/3)\/(d\/(-15)). Which is the nearest to -0.05? (a) -4 (b) 2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2. Let o(s) be the third derivative of 0*s - 11\/60*s**5 + 0*s**3 + 0 + 0*s**4 - 5*s**2. What is t(o(g))?\nAnswer: -121*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-14) - 2\/7. Let f = 2051 - 2053. Which is the second biggest value? (a) -1\/5 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**(3\/8)*b*b)*(b*b**(3\/13))\/b)\/((b\/(((b\/((b**(-37)\/b)\/b))\/b)\/b))\/b**(18\/7)))**(-7) assuming b is positive.\nAnswer: b**(-29431\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -13. Let u = j + 1. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 0.2, -5, 87, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 64\/(-6) - (-2)\/3. Let n = 22 + x. Let y be (-21 + 0)\/((-1)\/4). Calculate the highest common factor of y and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75292 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251840382.\nAnswer: 2, 3, 47, 893051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 43 (c) -4\/3 (d) 1\/59 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -125347, 0, -2\/7?\nAnswer: -125347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16205766?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69.9 in -3\/4, 1\/6, 0.1, -6, -3\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347274510.\nAnswer: 2, 3, 5, 11, 41, 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -19*q + 43. Let g(y) be the third derivative of 13*y**4\/24 - 29*y**3\/6 + 4*y**2 - 614*y - 1. What is 7*g(a) + 5*w(a)?\nAnswer: -4*a + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 1\/60*l**5 - 9\/2*l**2 - 1\/12*l**4 - 11 - 1\/6*l**3 + 0*l. Let f(t) be the second derivative of p(t). What is f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*y - 11 = -2*i, -2*i - 4*y = -10. Let w(a) = -186*a - 1. Is w(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*t - 6*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 107726037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = -x + 3*x - 3*w, 3*x = 4*w + 601. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + ((sqrt(5) + sqrt(10)\/sqrt(2))*-5)**2)*2.\nAnswer: 4*sqrt(5) + 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12100*t**4 + 15005*t**2 - 1 wrt t.\nAnswer: -290400*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -99 - -120 - -22 - -37.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1834*u. Let w(i) = -12*i**2. Determine w(c(o)).\nAnswer: -40362672*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 665 (b) 1\/7 (c) 0.03 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/203 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/481 and -30?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.5 + 12.23. Let o = -54.73 + z. Let c = -56 - o. What is the fourth smallest value in -0.5, 1\/2, -1\/4, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6261*o + 19954. Is g(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1500 = 239*x - 240*x. Calculate the greatest common factor of x and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -3\/2*t**2 - 4 - 1\/4*t**4 + 6*t - 2*t**3. Suppose 0 = -4*b + b + 4*g - 27, 3*g = -b + 4. Give c(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.636 - 0.364. Which is the nearest to j? (a) -0.2 (b) 5 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*j**2 - 33*j**2 - j**3 + (-3*j + 4*j + 0*j)*(-28*j**2 + 4*j**2 - 6*j**2).\nAnswer: -31*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 37*v + 368. What is d(45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -25 + 1. Let a = d - 3. Solve a*f = -3*i + 24, -3*f = -2*i + 3 - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*m + 66*m = 60. Let y = 4 + -1. Suppose 0*t - 45 = -5*t. Solve -4*g - h = -6*h + m, 3*g - y*h = -t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 94*o**2 + o. Let r be d(1). Calculate the greatest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119996861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 2*s - 8*s**4 + 7*s**2 + 24 + 5*s**4 as h*s**2 + j*s**3 + w*s**4 + v*s + r and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(4) - sqrt(36)) - (sqrt(3) - (1 + sqrt(3))*-5))**2.\nAnswer: 65*sqrt(3) + 607\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -2\/5 (c) 5 (d) -48\/7 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {s: 2, n: 7, v: 4}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2444 - 2441. What is the closest to -540 in -4, r, 1\/5, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/120 - 7*h**5\/60 - h**4\/6 - h**3\/2 + 3*h**2. Is u(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24866 + -24769. Suppose 0 = t, 2*t = 3*i + 3 - 0. What is the smallest value in w, -3, i, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - y - 6. Does 2 divide t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 - 7916*y - 7817050. Let x(v) = -19*v**2 - 15836*v - 15634096. Let d(q) = 5*w(q) - 2*x(q). Factor d(g).\nAnswer: -2*(g + 1977)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 1. Let g(t) = 2*t**3 + t**2 - 1. Let n = 3 + -4. Let b(o) = n*d(o) - g(o). Find the third derivative of b(x) wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 3*l**4\/4 + 3*l**3 + 9*l**2\/2 + 3*l - 3. What is t in s(t) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from uuuuuuuuujjjuuuujj.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 10. Suppose 2 = 5*z - 3*a, -z = -3*z - f*a - 24. Let k(s) = 2*s**2 - s - 1. What are the prime factors of k(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*v - 108 = -10. Solve 3*c = r - c + 2, -2 = r - v*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 11. Find the third derivative of -b**2 + b**2 - 3*b**2 + 0*b**y - 3*b**6 wrt b.\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 717197795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*f + 15*f - 150*f**3 - 63*f**3.\nAnswer: -213*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25285 and 19450.\nAnswer: 252850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*k = 6 + 4, -5*k + 5 = 0. Suppose 3*m - 8 = u + 5*m, -4*u + m = -x. Suppose -4*c - 18 = u*a, -2*c + 1 = 4*a + 7. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 - 4*g - 24. Let q(j) = -3*j**2 - 3*j - 24. Let v(k) = 4*q(k) - 5*u(k). What are the prime factors of v(-12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1. Let z(t) be the second derivative of 5*t**3\/6 - 55*t**2\/2 + 313*t. Calculate 110*y(r) + 2*z(r).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 9. Suppose d*v = -v. Solve -4*h + 17 = 5*z - 0*z, v = 2*z - 3*h - 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**3 + 2*v**2 - 5*v + 36. Suppose -28 = 5*k + r, 0 = -4*k + r + 1 - 18. Is m(k) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -83?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (-66 - (-9 - 41))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 154.64 + -153.8741. Round r to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*((sqrt(320) - ((sqrt(320) - (sqrt(320) + -3 + sqrt(320) + sqrt(320))) + -3)) + sqrt(320) + -2*(-1 + sqrt(320) - sqrt(320)) + 3))**2.\nAnswer: 5120*sqrt(5) + 82320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**7\/210 - n**3\/3 - n**2\/2 + 2*n. Let t(a) be the first derivative of y(a). Differentiate t(v) with respect to v.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2 - (-155 - -168)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + -1 - (27 - 23).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22606\/573067 - 9\/9713. Find the common denominator of c and 47\/59.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1579\/7303 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v + 4*v - 18639*v**2 + 18663*v**2 in the form x*v**2 + a*v + b and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*x**3 + 189 - 1829 - 375*x**3.\nAnswer: 2*x**3 - 1640","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 4:30 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-5)\/10)\/(3\/528*8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9616749 to the nearest integer?\nAnswer: 3101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -14. Suppose -5*b = -h + 59. Let s(w) = w + 12. What is the units digit of s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**3 + 925*n**2 + 930*n = 0. What is n?\nAnswer: -1, 0, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12231 + 13?\nAnswer: 12244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-15) + 4\/10. Let k = 0 + h. Let n be 1\/45 + (-1)\/(-5). Which is bigger: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -11, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 + 120. Suppose 22*d - 8253 = t*d. What are the prime factors of d?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/1705136 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14851 or -14860?\nAnswer: -14851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + -137 + 0\/2. Are o and -141 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 - 9*o + 8. Let s be 0\/1 - -12*9\/108. Give f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2240) - (sqrt(2240) - (sqrt(2240) - 2*sqrt(2240))) - sqrt(2240)) + sqrt(2240))*3)\/(sqrt(112)*-2 + (sqrt(175)*-2 + sqrt(175) - sqrt(175))).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {m: 1, k: 1, t: 2, l: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:29 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2694*n - 5013 + 5013.\nAnswer: 2694*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538675?\nAnswer: 5, 29, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13 - (2 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009998165978 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 1 - (-12 - (13 - (-2 - -16))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9946639039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4, -12, -0.2, -0.2047?\nAnswer: -0.2047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 604512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 13*a - 5802. Let f = a - 558. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 186 - -c?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 185*z - 6634. Give g(-136).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.3. Let p = -0.2 + j. Let k = -0.3859 - -0.0859. What is the second smallest value in 1\/3, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(177644\/6 - -4). Suppose -7*v = -i - 68283. Round v to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, q: 4, j: 1, z: 1, k: 4}. Give prob of sequence qq.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 5 - 3 + 3 - 3*f. Let i be a(-10). Suppose -t = -5*o + 132, -5*t - 120 = -i*o - 10*t. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(sqrt(252)*-1 + 3 + (3*sqrt(7)*2 - (-1*sqrt(343) + sqrt(343))))**2.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-6)\/(-16)*-2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 + 70. Let w = -46 - v. Let o = -31.1 + w. What is the second smallest value in 1, 0.09, o?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 2, 30, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -519?\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 + 2*g - 1. Let d be n(-2). Let a(q) = 7 - d - q. Let u(k) be the second derivative of -k**4 - 258*k - 3. Give a(u(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.1, 0.192.\nAnswer: -0.4, -0.1, 0.192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21183169 is divided by 83.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwvgmnggggvwwvgngg. Give prob of picking 1 n and 1 g.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 2*u - 428. Suppose u = -2*r + 70. What is the common denominator of 1\/2 - 476\/r and 32\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, x: 5, o: 1, k: 5, z: 8}. What is prob of sequence zkzx?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4996*t**3 + 14*t**2 - 2519*t**3 - 2520*t**3 to the form b*t + k*t**2 + f + o*t**3 and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:04 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 8 - 0. Suppose j = 2*c - 2. Calculate the remainder when (c\/(-5))\/((-3)\/105) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:04 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 5*c**3\/3 + c**2 + 20. Let z be w(-1). Suppose -z*v + 21 = 6, -v + 239 = 3*j. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-3) - (-1)\/(-3). Solve -w + 2*x = -6, w - g = 2*x + x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/7 and 30\/2334653.\nAnswer: 16342571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 762.56 or 0.84?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Let l(a) = 11*a - 1. Let z(i) = 62*i**2 + i - 1. What is the remainder when z(1) is divided by l(m)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 225037692*h**3 + 135*h**2 - 6136*h + 10.\nAnswer: 1350226152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:47 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 0. Let f(r) = r**3 + 2*r**2 - 4*r - 3. Let s be f(-3). Let n = 2 + -1.8. What is the nearest to s in 3, j, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) 99.92 (c) 2\/15 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 4:54 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316 and 948.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 4271517\nAnswer: 4271517.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (24 + -12 - -28) + -8 - -8\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11660?\nAnswer: 2, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + -0.7. Let v = -17 + 18.1. Let c = v + r. Is 0.2 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16633*g*l + 626*g + 44 wrt l.\nAnswer: -16633*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*p*u**2 + 219*j*p - 2*j*u**3 + 2*p*u + 38*u + 2 with respect to u.\nAnswer: -4*j*p*u - 6*j*u**2 + 2*p + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -109\/21?\nAnswer: -109\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4985 - -4993. Sort 4, l, -252.\nAnswer: -252, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) - 72\/5. Let l be f\/(-3) - 8\/12. Let w = -22\/7 + 23\/14. Which is the smallest value? (a) w (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 2*q - 6. Let g(j) = j**2 - j + 1. Calculate -c(u) - 2*g(u).\nAnswer: -u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 3*b**3 + 2*b**3)*(-1 + b**2 + 1) - 123*b**5 - 186*b**5 + 44*b**5.\nAnswer: -268*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6)*3 - -4. Let l(u) = u**2 + 8*u + 6. Let i be l(-7). Let o = i - -4. Solve -w*y + 5*z = -o*y - 14, 5*z = -2*y - 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438471 is divided by 389.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/(-490))\/(2 + ((-828)\/42)\/(-3) + -2)\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 4*r + 1. Let n be m(-2). Suppose -a + 0*k + 3*k - 7 = 0, n*a - 50 = -2*k. Let b be (-5)\/(20\/a) + 4. Solve -s = -b*s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -0.4, -7, -2\/3, 11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/6 - 6*i. Let f(z) be the first derivative of -4*z**2 + 65. Determine o(f(j)).\nAnswer: 128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by 2.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526495497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 + 3*y + 6*y + 2*y + 0*y**3 - 1 - 6*y - y**2 to w*y**2 + q + z*y + b*y**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200 - -588. Let a = -387.6 + v. Let q = 3 - 5. What is the second smallest value in q, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1479?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 460*v + 14. Let u(j) = 11*j. Give u(r(a)).\nAnswer: 5060*a + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -195.8 and 22.5.\nAnswer: -4405.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*r + 1016 = j, -4*j + 4*r = 2032. Find the common denominator of j\/(-48) + 2\/8 and -95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**3 - 4*m**2 - 86*m - 119. Let b(c) = 12*c**3 - 9*c**2 - 171*c - 258. Determine 6*b(d) - 13*y(d).\nAnswer: -6*d**3 - 2*d**2 + 92*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 6*x**2\/5 + 9*x\/5.\nAnswer: x*(x + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 19*q**2 - 6*q - 11. List the prime factors of c(5).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3282 or 3279?\nAnswer: 3279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 234, 348, 462?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.37 + -0.03. Let s = 4.82 + 0.18. What is the third smallest value in o, -1\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 5\/4*v**4 - 1\/20*v**6 + v**2 + 1\/105*v**7 + 0*v**3 + 0 - 13\/30*v**5 - 57*v. Factor l(z).\nAnswer: 2*z*(z - 5)*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -163, -123, -59, 35, 165?\n\"Answer: v**3 + 6*v**2 + 15*v - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 129*3*(-4 + 7). Let a = 200 + v. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*w - 5*x - 53, x = -w + 16. Suppose 0 = -301*s + 299*s - 14, f + 2*s = -2*f + 520. Calculate the remainder when f is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -20*u**5 - 21695*u**4 - 315495*u**3 + 167030*u**2 + 1262300*u - 321000 = 0?\nAnswer: -1070, -15, -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c + 3?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -7*k**4\/12 + k**3\/2 + 3*k. What is the second derivative of g(o) wrt o?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 92\/22 - 6\/33. Suppose -5*z + i*x = -79, -3*z - 3*x + 41 = x. What is the units digit of ((-24)\/z)\/(2\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f + 6*d - 2*d, 3*d - 6 = 0. Suppose 610161 = f*k - 11189839. Suppose 2*t + k = 4*t. What is t rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-145)\/11 + 0 + (-2)\/(-11). Sort -0.3, n, -0.5, -1\/12.\nAnswer: n, -0.5, -0.3, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {e: 1, t: 4, z: 7, g: 1}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 12*k - 32. Let a be w(20). Suppose -209*m + a*m + 429 = 0. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484591477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1333, -2828, -4469, -6262, -8213, -10328, -12613, -15074?\nAnswer: -17717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37, -73, -111, -151?\n\"Answer: -n**2 - 33*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169 + 170. Let l = x + -0.92. Which is the second smallest value? (a) -1\/2 (b) -2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(sqrt(304) + -1*sqrt(304) + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o + 281 = -5*a, 0 = -2*a + 4. List the prime factors of o.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*6\/75)\/(10\/100)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-36)\/8*2. Let x(u) = -u. Let j be x(1). Is (j - -2) + (-2 - c) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 603 + -597. What is the smallest common multiple of s and 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoddzzzd. What is prob of picking 2 d, 1 z, and 1 o?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 518 and 58793.\nAnswer: 117586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 - 1. Let r = 0.1 + q. Let y = -0.19308 - -0.09308. What is the biggest value in y, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (33\/(561\/85))\/(1 + 6688\/(-6689)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562653454.\nAnswer: 2, 11, 17, 1504421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by -263?\nAnswer: -74\/263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**2 - 9 + 9 - c**3. Let j be t(-5). Solve j = 2*a - 4 + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r = -3*m - 24, 37 = 4*r - 5*m. Suppose 0 = 3*f - 3*l, 33 = -5*f - 3*l - 7. Sort f, r, -4.\nAnswer: f, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*o - 2*o + 6*o)*(-27 + 27 - 4*o).\nAnswer: -8*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/3)\/2*40\/((-260)\/(-13))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyyhgjuh. Give prob of picking 1 u, 1 j, and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {e: 1, m: 2, y: 1, p: 2, f: 2, v: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**4\/12 + 5*g**3\/3 + 5*g**2\/2 - 6*g. List the prime factors of l(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 9*j**2 + 9*j - 11. Let k be n(-10). Let i be -6 + k*(-2 + 2). Is (-4)\/i + (-194)\/(-6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -13, -5, 7, 23, 43, 67?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 332\/5. Let i = 0.16 - 11.16. Let s = i - -6. Which is the third smallest value? (a) s (b) 2\/27 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 1. Let v be r(-10). Let g(j) = -6*j - 26. Calculate the remainder when g(-6) is divided by ((-2)\/3)\/(v\/261).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 2*h + 1. Let x = 31 + -30. Let w be v(x). Let d(u) = 4*u**2. Let r be d(w). What is the greatest common factor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 729*l**3 + 12*l**2 - 4*l - 736*l**3 + 4*l in the form m*l + z*l**2 + j*l**3 + f and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 420 and 2240.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.1 (b) 2\/3 (c) -187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2\/7 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 4*x + 304. Suppose -11*l + 1734 - 941 = -890. Which is greater: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -24 + -46 + -23.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5432 - -9090. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 179c5a + -3?\nAnswer: 179c57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -461 (base 7) to base 6\nAnswer: -1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-137209)\/(-3) - ((-423)\/27 - -15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2459 - -2459. Solve 3*b - 3*v - 9 = o, -2*v + 18 = 4*b + 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -152949728 bigger than -152949730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11089 = 11086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 - 3*r**2 + 4*r**2)*(-r**2 - 3 + 3) + (5*r + 2*r**3 - 5*r)*(-2*r - r + 5*r).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -40 (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 1:27 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(-6 + 15*x**2 - 380 + 273) + 4*x**2 - 3*x**2 + 2*x**2 as o + n*x + d*x**2 and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221222120 - 100?\nAnswer: -11221222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2600 + 3649. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100747.9 nanometers to kilometers.\nAnswer: 0.0000001007479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24543, 24544, 24545, 24546, 24547, 24548?\nAnswer: 24549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -87)*(-3)\/4. Let z = r - 13. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * 12\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65116924 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 21. Suppose -3*z = 2*z. Let q = z + s. Let j(k) = 8*k**3 + 1. Give j(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let q(z) be the second derivative of -25*z**4 - 9*z**2\/2 - 4749*z. What is g(q(v))?\nAnswer: 300*v**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/49)\/((-6)\/28). Suppose 47 = i*m - 57. Is 2*(2 + -2 + m) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1272*k - 1278*k - 2 - 100*k**2 + 3823*k - 1273*k to w + t*k**2 + b*k and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**2 + 81*u - 199. What is k(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/10 - 2\/20)*(-366)\/2013. Put i, 3\/49, -0.4, -11, 2 in decreasing order.\nAnswer: 2, i, 3\/49, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 2 = -6*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.207308 to 2 dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3.8, 1, 216.13 in decreasing order.\nAnswer: 216.13, 5, 1, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.8*2.\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 193030 rounded to the nearest 1000?\nAnswer: 193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3157 - 3077 - (1 + 142)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 + 34 - 97 - 6*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1747, -1709, -1671?\nAnswer: -1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122 + -102. Solve -5*a = d + 4*d - 20, -5*a = -d - o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7751 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154838498?\nAnswer: 2, 77419249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19432 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 + 3*a + 6. Let k(p) = -13 + 6*p - 19*p**2 + 4*p**2 - 12*p. Give 6*k(z) + 13*u(z).\nAnswer: z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 5, r: 2, d: 3, j: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {f: 4, k: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 758809622.61 + -0.1534\nAnswer: 758809622.4566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 45.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 + 12 = 0. Let o be 1\/1 - 43 - -3. Let g = o + 61. What is the lowest common multiple of g and k?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2449452 is divided by 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(108))*-6)**2 + (sqrt(960)\/sqrt(5))\/(sqrt(400)*1).\nAnswer: -77758*sqrt(3)\/5 + 141264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -732319453\/57311990 - 70792\/67215. Let j = t - 3\/1279. Let k = j + 14. Which is the third biggest value? (a) 2 (b) 1\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + (sqrt(704) + -1)*2 + 5))**2.\nAnswer: 1440*sqrt(11) + 25569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12348359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 43. Which is the third biggest value? (a) i (b) 2\/17 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76*((19795\/(-74))\/(-107))\/(10*1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16788.\nAnswer: 2, 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-149)\/4)\/(12 + 846\/(-72)). Put x, 3, -6 in descending order.\nAnswer: 3, -6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u = -49*u - 2*g + 46, -5*g = 4*u - 73 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 2. Let m be i(-9). Let d = m + 19. Suppose -o = -d + 3. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/20 and 4\/((-4528)\/10)*66\/10.\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27\/103 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001227437 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, -5, -2826?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5.3. Let i(s) = -2*s**2 + s - 4*s + 1 + s**2. Let d be i(-2). Which is the third biggest value? (a) q (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f + 7. Let h be b(-2). Solve -h*x + 10 = -2*y - 13, -x + 2*y + 13 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 5:08 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 17048*o + 34006. Give q(-2).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 2, -1932, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36190 = -153822*u + 153493*u for u.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/32702463 and 52\/12339.\nAnswer: 98107389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36865 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.04 (b) -260 (c) -2\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1194 - 161*d**3 - 1192 + 0*d + 2386 - 4*d.\nAnswer: -161*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20303133 (base 4) to base 5\nAnswer: 2123223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + (8 - 18) + -18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*s - 8 = 420*s + 5*c, -2*c = 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238 - 218. Suppose -15*w - v = -50. Let s(f) = f**3 - 9*f**2 + 2. Let b be s(9). Solve -b = 3*q - w*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/10)\/(22\/(-990)). Suppose -q*l + 24*l + 60 = 0. Calculate the remainder when 79 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 984 and 223327?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 11. Let p(y) = y**2 - 11. Calculate 4*c(l) - 3*p(l).\nAnswer: l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 26 - (11 + (-1 - 2) + -37) - 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let k(i) = -1436*i - 1477*i + 2799*i. Give k(j(c)).\nAnswer: -114*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.906 + 93.906. Which is the nearest to -1\/3? (a) 3 (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b\/b**(3\/8)*b)*(b\/(b*b*b**(-3)*b*b)*b)\/b*(b\/b**(-1))**(-39) assuming b is positive.\nAnswer: b**(-621\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 3. Let m be z(-6). Suppose -x + m = 2*x. Suppose x*t = 4*t. What is the smallest value in -5, t, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 f when three letters picked without replacement from {s: 4, f: 2, p: 1, h: 1, n: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 186771 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/13 + 34464*j**4\/13 - 310360*j**3\/13 - 379284*j**2\/13 + 310358*j\/13 + 344820\/13 = 0 for j.\nAnswer: -17241, -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.009 + 1.00900304. Round c to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -4*n**7\/7 - 57*n**3\/2 + 188*n**2. What is the derivative of i(t) wrt t?\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 27 = -33. Suppose -i + p = 2*c, -14 + 6 = -4*i. Solve 0 = c*d - l + 20, d + l + 2*l = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83509*l**4\/4 - 326821*l**3\/2 - 124597*l**2 - 52035*l\/2 - 1575\/4 = 0 for l.\nAnswer: -7, -15\/37, -1\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 1:37 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, n: 1, t: 2, d: 1, r: 3, i: 3}. Give prob of sequence jdti.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 l, and 1 v when three letters picked without replacement from qqqqvbkglvlqvvv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 285100 and 22808.\nAnswer: 570200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d**2*x**2 + 80*d**2 - 2*d - 41*x**4 + 2*x wrt x.\nAnswer: -26*d**2 - 492*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - x**2 + 1. Let y(k) = -4*k**3 - 6*k**2 + 2*k + 8. Let f(q) = -10*q**3 + 5*q**2 + 13*q - 14. Let n be f(1). Determine n*g(r) + y(r).\nAnswer: 2*r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2570520 is divided by 455?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58.8 - -63.8. What is the third biggest value in v, 38, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 766 and 190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 14. Is -1*46\/w*-2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.096333 and -590.\nAnswer: -590.096333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 21*q - 26. What is the units digit of a(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {f: 4, n: 2, s: 1, x: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:27 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**2 - 947*f + 175. What are the prime factors of y(110)?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3854960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - h**3 - 443*h**2 + 457*h**2 - 35 - 2*h**3 + 2*h**3. List the prime factors of k(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 - -3. Let x = -1.07 + 2.07. Suppose -16 = -4*k + 4*y, 16 = 4*k + 2*y - 6. What is the second smallest value in x, k, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(11\/4)\/(x*(x**(1\/8)\/x)\/x)*x**(-35)*x**(5\/7) assuming x is positive.\nAnswer: x**(-1717\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 63*d - 3. Let q(x) = 64*x - 3. Give 6*q(v) - 7*u(v).\nAnswer: -57*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 662 - -464683?\nAnswer: 465455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -305 + 305. Let t be 1 + 1\/((-2)\/(-4)). Solve f*o + o = -t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + h - 2*h)*(-13 + 5*h**2 + 13)*(0*h + 0*h - 2*h) in the form j + t*h**4 + y*h**3 + b*h + n*h**2 and give t.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 25*l**2\/2 - 13*l - 1. Suppose -5*n - k - 37 = -21, 5*k = 20. Let g be y(n). Round g to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 289 (base 12) to base 15\nAnswer: 1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 7586 = -v, 8*v = 4*v + 7*j + 30345. Is 81 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + 14. Suppose -3 + b = 3*y. Suppose p + r = -3*p + 2242, -y = -5*r. What is p rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(56) - -1*sqrt(1400))\/sqrt(8) + 4 + 2 + 1)*-4.\nAnswer: 112 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27 * 13.63062.\nAnswer: -3.6802674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163728 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266 divided by 2703?\nAnswer: 3266\/2703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220022211 (base 3) to base 10.\nAnswer: -37417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13.1527941 - -13.153. What is c rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, -46, -95, -174, -289?\n\"Answer: -u**3 - 6*u**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (984\/(-369))\/((-12)\/2 + 2)*(98 - 137)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.164011 microseconds to hours.\nAnswer: 0.0000000039344475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077430954 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 12008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-3)\/(-9)*76\/57).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -41. Find the second derivative of r*v**3 - 16*v**3 - 3*v + 12*v wrt v.\nAnswer: -66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j. Let l(g) = -8*g - 4*g + 6*g + 2*g. Give 2*l(s) - 5*x(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 114. Let r(v) = -7*v. Let x(o) = -35*o. Determine l*x(w) + 11*r(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z + 4. Let x(l) = 4*l - 1. Let u(n) = -7*x(n) - 2*y(n). Let q be u(-2). Suppose -q*j + 2*g = 7*g + 56, 4*g + 52 = -3*j. Does j = -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*f + 527696 + 146037. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653518 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/61, 1\/10, 0.02 in increasing order.\nAnswer: 0.02, 5\/61, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s**2 - 2. Let x = -986 + 1013. Let o(t) = -93*t**2 - 27. Let y(u) = x*l(u) - 2*o(u). Let a(q) = 2 + 10*q - 2. Calculate y(a(j)).\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*p**4 + 17*p**2 - 49*p**4 + 1 - 1 wrt p.\nAnswer: 432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/8)\/((-44)\/32). Let a = -13599.3 - -13599. Sort w, 5, a, 3 in ascending order.\nAnswer: a, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 8*t**2 - 4*t + 6. What is v(-8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -7.9. Let y = 5.4 - 5. Which is the nearest to 1? (a) x (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -15*f**3 - 69*f**2 - 5*f + 4. Let d(k) = 22*k**3 + 106*k**2 + 7*k - 6. What is 5*d(h) + 7*r(h)?\nAnswer: 5*h**3 + 47*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 12:51 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-66)\/33 - 10\/(-6). What is the nearest to q in -1, -2, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-27) + (-133)\/(-9). Suppose -1 - 17 = -w - 5*f, w + 4*f - l = 0. Differentiate 2 + w - 1 - 3*p - 2 with respect to p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 15023066\nAnswer: -15023083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -486, -1959, -4414, -7851, -12270?\nAnswer: -17671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/10*(-10 - -5). Suppose 0 = -b*a + 158 + 1312. What is the highest common factor of a and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -24. Let s(n) = n**3 - 3*n**2 - 2*n + 3. Let p be s(3). Let o be z + -3 + (2 - p). Is o not equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 b when three letters picked without replacement from vdvebddde?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 3455*b**4\/24 + 55*b**3\/6 - 157*b**2. Let m be n(19). What is m rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a712 - -2?\nAnswer: 2a714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u - 5*u)*(-2 + 2 - 2) - 7*u + 10*u + 2*u + 32*u - 6*u + 7*u - 10*u + u + 2*u.\nAnswer: 33*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 11, 961, 0.\nAnswer: -0.1, 0, 11, 961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + -33. Suppose -3*k - u*m = m - 386, -3*k = -3*m - 372. Let q = k - -6. Is q a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3353 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 36*f + 313. What is q(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 487.8823 kilograms in nanograms?\nAnswer: 487882300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 10:39 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(1\/2)*z))**12\/(z\/(z**(-2\/7)\/z*z)*z*z**(2\/15)))**(27\/2) assuming z is positive.\nAnswer: z**(-9648\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31326201?\nAnswer: 3, 127, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155240517 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-98\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-17)\/(-4))\/(1\/4) is divided by 6\/(-9) + (-957)\/(-99).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 6*n = -2. Sort -3, n, 0 in descending order.\nAnswer: n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10103210 + 2?\nAnswer: 10103212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -7*m**2 - 23*m - 12. Let x(l) = -l**2 - 2*l - 1. Determine -2*b(y) + 22*x(y).\nAnswer: -8*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/120 - m**5\/20 + m**4\/12 - 2*m**3\/3 + 2*m**2 + 1157. Give g(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 187630112.9 and -5.\nAnswer: 187630107.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 171220.\nAnswer: -15409.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**4\/12 + 5*d**3\/3 - d**2 - 4*d. Is v(9) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*v + 5, 4*v = 5*z - 0*v - 6. Suppose 4*i - 4*g + 16 = -7*g, -z*i + 3*g = 8. Let h be (-18)\/((-2)\/i - -3). Is -5 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.475 + -0.742. Let g = 17.25 - 17. Let c = g + r. What is c rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2. Let o(a) = -7*a + 23*a**2 + 16*a + 2*a**2 - 8*a. Give k(o(r)).\nAnswer: 1250*r**4 + 100*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5907 (b) 41 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 + 7*m**2 + 16*m - 85. What are the prime factors of b(5)?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*l + 22*l - 7*l**4 + (-2*l**3 - 1 + 1)*(l + l + 0*l) - 2*l**4 + 6*l**4 - 3*l**4 to the form u*l**2 + v*l**4 + x*l**3 + m + h*l and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 - 145.04. What is the closest to 0.5 in 0, p, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 17 = -k, 0 = 3*c + k - 13 + 2. What is the units digit of -2 + (-5)\/((-5)\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8456 (base 11) to base 5\nAnswer: 324233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 353 - 192. Let p = 240 - s. Suppose -194 = -3*f + p. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29824*n - 417846 with respect to n.\nAnswer: 29824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 102647.\nAnswer: -3\/102647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 198443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xllp when four letters picked without replacement from lpmxpxpxllppxxxmpmp?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -641\/6, -16\/11, -0.7, -1?\nAnswer: -641\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -351274 and 27374.\nAnswer: -323900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2*n - 2 = 0, -39*u - n - 8 = -37*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -10 + (0 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -48*n**3 - 4*n**2 - 4*n. Let w(r) = -1441*r**3 - 121*r**2 - 121*r. What is 121*i(x) - 4*w(x)?\nAnswer: -44*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 8*w**2 - 3*w - 8. Is 33 a factor of i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1126 + 11?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -7. What is the second derivative of 0*k + 289*k**t + 7 - k - 310*k**2 wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -31*k + 22. Let q(y) = -156*y + 110. Suppose 4*f - 17*f - 143 = 0. Let h(v) = f*g(v) + 2*q(v). Differentiate h(l) with respect to l.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 2*b + 4*b - 2*b**2 + 3. Let a be k(6). Let o = 12 + -5. Solve a*r = o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -426 + 126. Let r be (i\/9)\/5*-180000. Suppose 8*c - 3*c + r = 0. What is c rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 22610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72931 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 7 = x, 10*k - 4*x - 16 = 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679727.5t to grams.\nAnswer: 679727500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 227*s**2 - 42*s - 75. Calculate c(-2).\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/81 in 6, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**2*r*y**2 - 95*a**2*r*y - 26*a**2*y**2 + 6*a*y**2 + 782*r + 2*y**2 wrt a?\nAnswer: 6*r*y**2 - 190*r*y - 52*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40774004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 11:42 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94797172*n**3 - 193188986*n?\nAnswer: -568783032*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -17\/5, -9\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 15. Give n(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -316.33, -288\/41, -1\/4.\nAnswer: -316.33, -288\/41, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(18))**2 + -1*(sqrt(2) + -3).\nAnswer: -87 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*x - 240 = 5*x, 0 = -3*i + 6*x + 702. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)*k**5*(k*k*k\/k**(-2\/7)*k)**(1\/53) assuming k is positive.\nAnswer: k**(6397\/1113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000554572 rounded to 5 dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 13 + 3 - 5465*o - 11 + 10919*o - 5450*o.\nAnswer: 4*o - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -2*l - 15, 542*a = 545*a + l + 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417 + 5*v**2 - 3*v**2 - 5*v - 3*v**2.\nAnswer: -v**2 - 5*v + 1417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**6\/900 + k**5\/150 - 2*k**3\/3 - 4*k. Let f(s) be the second derivative of g(s). Factor f(a).\nAnswer: 2*a*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 13 = -42. Let c = 4 + q. Let g = 13 + c. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -3 (b) 4\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (0 + -6 + 2). Let l be p\/(-9) - 2934\/(-81). Let x = 24 - 0. What is the greatest common divisor of x and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 2*t + ((2 + 3 - 3)*(t - 3*t + 0*t) - 861 - 55*t + 861)*(30 + 13 - 4) as v + l*t and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2942*b - 16. Determine u(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 252*s**3 + 0 + 244*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 - 2*j**2 - 2*j + 2. Suppose 0 = 2*q + 4*z, -7*z + 2 = q - 3*z. Calculate y(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 7 - 3*w**2 - 12*w + 5*w**2. What is the units digit of z(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -y + 26, 4*y + 4*r = 2*y + 62. Let k = y + -17. Suppose 39 = 4*m - z, -k*m + 5*z + 51 = -0*m. What is the highest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-2) + 1 + 3\/(-2). Suppose s*y - 20 - 65 = 0. Calculate the remainder when 50 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21370783.\nAnswer: 7, 3052969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -14. What is the least common multiple of w and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 1\/32*u**4 + 3\/16*u**3 - 19*u + 3\/8*u**2 + 0. Let l(x) = 0. Calculate x.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44023120 (base 5) to base 6.\nAnswer: 12023444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433 (base 10) to base 3.\nAnswer: 121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024539177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.78, 174, 0.707?\nAnswer: 0.707","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 582 from -301434.591051.\nAnswer: -302016.591051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (647 - 796 + 506 + 542)*(2*l**3 + 0*l + 0*l) to z*l**2 + m + y*l**3 + n*l and give y.\nAnswer: 1798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/((-10)\/45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*y = -i + 4, -5*i - 2*y + 14 = 0. Let w(f) = 8*f + 82. Calculate the remainder when ((-6)\/9)\/(i\/(-18)) is divided by w(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52087\/4410*-10 + (-24)\/27.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 25*z + 25*z + z**2)*(5*z**2 - 2*z**2 - z**2).\nAnswer: 2*z**4 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 362384 and 163389886.\nAnswer: 1307119088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518 + 23*j - 518 - 49*j - 236*j**2 + 28*j.\nAnswer: -236*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 - -12224?\nAnswer: 12352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.17 (b) 1\/156 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.374 * -336.\nAnswer: -125.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10*(-3)\/6*-1. Let t be 12\/(-8) - (-2 - b\/(-2)). Find the third derivative of -25*h**2 + 27*h**t - 56*h**3 + 28*h**6 + 29*h**3 wrt h.\nAnswer: 3360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (114*n - 4*n + 137*n + (1 + 0 - 3)*(6*n + 3*n + 4*n))*(-2*n**2 + 2*n**2 - n**2) as k*n + i + f*n**2 + h*n**3 and give h.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - q**3 + q**3 - 4*q**3 + 2*q**2 to the form l*q + h + z*q**3 + m*q**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(-1\/7)))\/b**5*b**(-3\/10)*b*b*b\/b**(-8)*b)**(-2\/3) assuming b is positive.\nAnswer: b**(-529\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 + 166. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 5:21 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -435*z**3 - 4*z**2 - 5*z. Let g be l(-2). Suppose -g - 1906 = i. What is i rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -158 (b) -36 (c) -4 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -41262?\nAnswer: -41255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49118.46 rounded to the nearest one hundred?\nAnswer: 49100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/41874 and 47\/18003?\nAnswer: 251285874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -223, -229, -235, -241?\n\"Answer: -6*b - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1573) + sqrt(1573) + 3 + sqrt(13))*-5)**2.\nAnswer: 9200*sqrt(13) + 173525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2. Let l(m) = 190703505*m. What is l(c(k))?\nAnswer: -381407010*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/3105 and -17\/81.\nAnswer: 9315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, o: 9}. Give prob of sequence orro.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 2*r**2 + 4*r + 8. Let l(i) = i**3 + i**2 - 3*i - 8. Let g(x) = 3*l(x) + 4*q(x). Give g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6589803 is divided by 253?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1313 (base 5) to base 13.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6942 (base 16) to base 12\nAnswer: -13716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-485)\/(-45) + 0 + -9. Let r = -0.03 - 2.97. Sort -21, r, x.\nAnswer: -21, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42801 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let j = 4633\/28 - 663\/4. Let f = 25.7 - 26. What is the nearest to l in 2\/11, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45100 is divided by 1133?\nAnswer: 913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 639821*s**2*z**2 - 2*s**2 - 230908*z wrt z.\nAnswer: 1279642*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-120)*4*4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l = 5*h - 2, -5*h + 4*l + 26 = 0. Let f(k) = 5*k. Let w(d) = -4*d. Let t(m) = h*f(m) + 3*w(m). Let x(i) = -8*i. Calculate t(x(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 1 + -1 - (2213 - 2218).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1350 + 136422?\nAnswer: 135042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.03, 1\/3, 1\/8 in descending order.\nAnswer: 3, 1\/3, 1\/8, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 1:53 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -442 - 112?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2. Let t be 3\/3 - (-1 + 2). Suppose t = -f - f. Let l(s) = 5 - 5 - 2*s**2 + f. Calculate l(y(b)).\nAnswer: -18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 316440 divided by -30\nAnswer: -10548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3221 is divided by 99.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53807 is divided by 45278?\nAnswer: 8529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3685, -3704, -3723?\nAnswer: -3742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25e (base 16) in base 7?\nAnswer: -1524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 46\/3 (b) 0.2 (c) -15 (d) 0.4 (e) 2443\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 2)*(0*r + 2*r - r) + (-2*r + 1 + 3 - 2)*(-2 - 4 + 4) to a*r + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2*z**2 + 4*n**2 + 32*n*z**3 - 13*z**3 + 13*z**2 with respect to n.\nAnswer: 6*n*z**2 + 8*n + 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289892.\nAnswer: 2, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -6*y - 41. Let x(h) = h**2. Determine o(x(p)).\nAnswer: -6*p**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344258?\nAnswer: 2, 43, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*t + 8*t. Suppose -13 = -2*f + 3*y, 5 = 2*f + 4*y - 1. Solve 0*b - 45 = 5*s + 5*b, 0 = t*s - f*b - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8742.34 rounded to the nearest one hundred?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 4*w - 2. Let r be k(12). Let a = -67 - r. What is the remainder when a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 4. Let h(f) = -11*f + 2. Let l be h(-2). Let g be -2 + l + (0 - 1). Suppose 5*m - 6 + g = 0. What is k(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106814606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*b**4 + 4*b**4 - 38*b**4)*(2 + 2*b - 2) + (-2 + 2 + 5)*(b**3 - b**3 - b**5).\nAnswer: 59*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 168, 572, 1356, 2646?\n\"Answer: 21*c**3 + c**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (0 - 3\/3). Let w be (g + -1)\/((-6)\/(-18)). Suppose w*i = -4*m - 3, -29 = -m - 2*m + 4*i. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r + 3. Let n be (-6)\/(-10) + (-16)\/10. Let j be n*45\/(-6)*-2. Let o(g) = g + 1. What is j*o(u) + 5*f(u)?\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - d = -443, 4*y - d - 892 = 2*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 39. Let y(x) = -x**3 + 5*x**2 + 9. Let u be y(o). Let g = -26 - u. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 8. Let t be q(-8). Let b = t + 1. Let y(k) = 9*k + 0*k - k. Calculate y(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8512)\/(-10640) + 26\/30.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 14, 8, -2, -16?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 15.19. Let q = g - 0.189984. What is q rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 3\/4*t**3 + 3\/20*t**5 + 0*t**2 + 0*t - 12 - 3\/4*t**4. Factor g(j).\nAnswer: 3*j**2*(j - 3)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3004000 rounded to the nearest ten thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 57, 102, 149, 198?\n\"Answer: g**2 + 40*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0\/(-1) - -6. Determine i so that 8*i**4 - 15*i**2 - 32*i**h + 27*i**4 + 12 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43283\/20360 + -25\/509. Find the common denominator of n and 93\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -4\/7 (c) 4 (d) -47\/2 (e) -1 (f) -451\/2 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 34 - 27) + -23\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + j - 4*j + 8*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -5\/3*u**3 + 3\/10*u**5 + 3\/8*u**4 + 0*u - 2*u**2 + 0. Is i(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2953 = k + 822, -5*a = 2*k - 10640. What are the prime factors of a?\nAnswer: 2, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 3*t + 2. Let z(x) = -x - 1. Let y(k) = -l(k) - 6*z(k). Let b be y(3). Suppose 11 = -5*v - 4. Sort 3, v, b in descending order.\nAnswer: 3, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kuzzzdk. Give prob of picking 1 k, 1 z, 1 u, and 1 d.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4362610, 8725222, 13087834, 17450446, 21813058?\nAnswer: 26175670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 37 = -31. Let c = 8 + 10. Suppose -2*s - c = 4*s. Is i at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n*(n*(n\/(n**(-6)*n))\/n*n)\/n)\/n)\/n)*n**(2\/17)*n*n)\/(n\/(((n**3*n)\/n)\/n))**27 assuming n is positive.\nAnswer: n**(427\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from {k: 10, a: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 3:43 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18\/83 - 3865\/166. Let p = y + 24. Is 2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45752190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1624 (base 7) to base 10\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*k + 182 = 42, 4*k + 140 = 5*b. What is the greatest common divisor of 52 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**3 - 8*g**2 + 75*g + 4. Let z(a) = 5*a**3 - 6*a**2 + 75*a + 3. Calculate -3*p(w) + 4*z(w).\nAnswer: 2*w**3 + 75*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2664\/63 + 4\/(-14). Calculate the common denominator of j\/27 + (-1 - -2) and (-38)\/44*(-4 + 2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4588 = -9*f + 12670. Suppose 134 = 3*p - f. Does 68 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 70*a + 67*a - 213*a + 74*a. Suppose -5*k = 4*m - 127, -4*m - 5*k + 43 = -3*m. Let d(s) = -2*s + 3*s + m*s**2 + s - 30*s**2. What is y(d(t))?\nAnswer: 4*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 7*t + 7*t - 11*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 78.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.4 (b) -58 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (286 - 305)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 7*t - 16425706*t**2 + 6*t - 2*t + 16425786*t**2.\nAnswer: 80*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 16950470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146752813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13590 divided by 6\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 197\/7 + (143\/((-5005)\/4))\/((-2)\/15).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 64, -3, -28.9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 - -116. Let g = 4.2 + -4. Let b = g + -0.3. What is the closest to b in -5, t, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10958?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 306*z**2 + 295*z + 6. Let g(k) = -k**3 + k**2 + 1. Let c(o) = 6*g(o) - t(o). Factor c(p).\nAnswer: -5*p*(p + 1)*(p + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -8*r - 9. Let k be n(0). Let c be 2 - 12\/k*3. Let o(z) = z + 2. Calculate o(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -19*x. Let s(j) be the third derivative of 0*j**4 - 1\/10*j**5 - 26*j + 2*j**2 + 0 + 0*j**3. Calculate h(s(z)).\nAnswer: 114*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979 is divided by 368.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*t = -110, -4*s + 5*t - 145 = -9*s. Is s < 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 622375 = 1889*c - 11464*c for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 15*n + 46. Let h be f(-4). Solve -43*k + 16 + h*k**2 + 23*k + 2*k**2 = 0 for k.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2632251708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -66*l + 1. Let o be p(-1). Let h = o - 37. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*k**4*r**3 + 951*k**3*r**3 + 2*r**3 - 10313*r - 3 wrt k.\nAnswer: 56*k**3*r**3 + 2853*k**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 409.82.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 185688?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v + 24*v + 1568 = -47*v for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/7)*(s\/(s*(s\/(s**(2\/23)\/s))\/s))\/s)**(-12)\/((s**(5\/4)*s)\/s**7*s**(-2\/15)*s*s**0) assuming s is positive.\nAnswer: s**(110233\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*a = -15, 0*a + 4*a = 2*d - 10. Let j be 5\/d + (-734)\/1. Does 37 divide j\/(-5) + ((-84)\/15 - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-54))\/(24\/270*15).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 26.4 (b) 1\/4 (c) 8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0 - 420 = 0. Is b a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18569752*j + 18409622.\nAnswer: -18569752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 g, and 1 t when four letters picked without replacement from ggfgtggftfttgfgtfttt?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {j: 1, x: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156920?\nAnswer: 2, 5, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 24\/(-10) + (-256)\/(-40). Suppose 3*p - 6 = 0, -z - 3 = 2*p - g*p. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -397 times 0.041\nAnswer: -16.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -3. Let v(k) be the first derivative of -3*k - 1\/2*k**4 - 2\/3*k**3 + 1\/2*k**2 + 2. Let t(p) = -p**3 + p - 1. Calculate n*v(o) - 3*t(o).\nAnswer: o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 716*(1 + 2\/(-8)*-4). Let x = a - -45. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2574*i*t**2 - 136*i*t - 21565492*i - 8*t wrt t.\nAnswer: 5148*i*t - 136*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, 7 in decreasing order.\nAnswer: 30, 7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3294 + 9919 - 3340 - 73*n - 3335.\nAnswer: -73*n - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*l**2*q**3 - 4*f*l*q**2 + 2*f - 89*l**3*q**3 - l**3 - 10*q**2 wrt q?\nAnswer: -12*f*l**2 - 534*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12352 = 16*g - 0*g. What are the prime factors of g?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(12 - 0) - 8085\/(-20). Let b = d - 275. What is the highest common factor of b and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - k - 21, -12 = 3*w + 46*k - 48*k for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 13 = -x + 3*x, x - 5*r = 20. Suppose s + 4 + 23 = 5*w, -26 = 3*s - 4*w. Sort s, -5, x.\nAnswer: -5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43264212?\nAnswer: 2, 3, 3605351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-18)\/(-18)*2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y + 1. Let k(u) = -6*u**2 + 48*u + 12. Let i(s) = k(s) - 12*t(s). Let q(v) = 23*v**2. Determine i(q(n)).\nAnswer: -3174*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*r + 20, r + 20 = 11*j - 6*j. Suppose -j*b + 298 = 1246. Let x = b - -381. Calculate the highest common factor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 12012202?\nAnswer: 12020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 66*m**2 + 66*m - 57. Determine z(32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**15\/(s*s\/s**(18\/5)*s) assuming s is positive.\nAnswer: s**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, k: 1, u: 1, h: 1, f: 3, i: 2}. Give prob of picking 1 i, 1 h, and 1 k.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k*l**2*s + 3*k*l**2 - 4*k*s - 35*l**2*s + 1494*l**2 wrt s?\nAnswer: 4*k*l**2 - 4*k - 35*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 + 14434240*g = 0. Calculate g.\nAnswer: -2886848, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14032 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*k + 149624 = 0, 2*q = -k + 25117 + 34732. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785*b**3 - 775*b**3 - 2813784*b**2 + 2813784*b**2.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least 842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -6. Let w = g - 8. Which is smaller: -1\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -6*i + 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j = 3*f + 28*j + 3, -f = -3*j + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20051 times 0.3?\nAnswer: 0.060153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*p + 49*p = 211*p - 255337832. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*c + 2*c, 2*i + 15 = 3*c for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19935 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1572)\/(-13362) - (2670798\/17)\/(0 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 1513352?\nAnswer: 9080112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 257, 511, 769, 1031, 1297, 1567?\n\"Answer: 2*k**2 + 248*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2584135, 2584138, 2584143, 2584150, 2584159, 2584170?\n\"Answer: s**2 + 2584134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.12 (b) -2\/47 (c) -12 (d) 11 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1950 + -1920. Solve -3*i = -s + 33 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(468) + -2 + 2*sqrt(468)*4 + -5 + 1 + ((sqrt(468)*2 + 4 - sqrt(468) - sqrt(468)) + sqrt(468))*3)**2 + -2.\nAnswer: 864*sqrt(13) + 67426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103138 and 1022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31866592 and 18676.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(-5*-1*sqrt(88) - sqrt(88)))\/(sqrt(16)\/((sqrt(2) - sqrt(128)*4) + sqrt(2))).\nAnswer: 1920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 52*g**3 + 11*g**2 - 23*g + 1. What are the prime factors of l(4)?\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00085114 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/40 + 2*(-36)\/(-96). Determine x, given that 1\/5 - w*x**3 + 1\/5*x - 1\/5*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 - 3*b**3 + 5*b**3)*(2*b**2 + 7*b**2 + 0*b**2).\nAnswer: -9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -865 divided by -5.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 335, 589, 769, 773?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from {w: 2, t: 1, b: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2875 + -3030.7. Let l = 156 + p. Put 0.2, l, 3 in ascending order.\nAnswer: 0.2, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, 233, 92, -21, 2, -1 in descending order.\nAnswer: 233, 92, 4, 2, -1, -13, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -858*o + 1741. Calculate w(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -7*w**6\/180 - w**5\/60 - 5*w**4\/24 - 4*w**2. Let g(b) be the second derivative of i(b). List the prime factors of g(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*72\/11232*3939\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12797*i**2. Let h(s) = -86*s. Calculate h(n(c)).\nAnswer: -1100542*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (370 - 363) + (-21 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 3:51 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h - 3*h + 2*h + (1 - 1 - h)*(-2 + 3 + 2).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -2. What is the tens digit of g\/(-4)*(-1 + -19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 3, 4 in descending order.\nAnswer: 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 4*t + 6*t)*(-4*t + 5*t + 0*t**4 + 3*t**4) + 4*t**5 - 1 + 9*t**2 - 9*t**2.\nAnswer: -2*t**5 - 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9.026. Let r = v - -0.099. Round r to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**5 - 148*w**4 - 424*w**3 + 10096*w**2 + 13152*w - 153216 = 0.\nAnswer: -6, 4, 7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 11 = 3*p + 5, -5*b = 5*p + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20209 is divided by 10103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-4*g + 3*g + 2*g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 j, and 1 x when four letters picked without replacement from {u: 3, x: 3, j: 5, m: 2}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 43, 67, 93, 121?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert aba89 (base 13) to base 9.\nAnswer: 524360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 450 - -28.982754.\nAnswer: 478.982754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*p**2 + 2\/3 + 0*p = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - q - 5. Let d be m(0). Is 6\/2 - (-135 - d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*x + 94 + 2, 0 = -5*u + 3*x + 107. Suppose 0 = u*g - 13*g. Solve y + 1 = -2, d - 5*y - 15 = g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 583268.9691 to the nearest ten.\nAnswer: 583270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -10, 226, 0, -5, 130 in ascending order.\nAnswer: -10, -8, -5, -3, 0, 130, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27365*c - 31 = 3*t + 27369*c, 4 = -4*t + 3*c + c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j + 331 = 7*a, 2*a + j = 97. Calculate the remainder when 178 is divided by a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*u + 4, 4*c - 37 = 5*u - 0*u. Suppose 0 = k - 17 + 4. Let i = k - c. Solve 3 = -i*s + 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93.29723 millilitres?\nAnswer: 0.09329723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116921?\nAnswer: 7, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -2*f - 5*u, 17*u - 16*u = -299*f + 5*u + 1451 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-110)*(-1)\/1*(-40)\/(-132)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 20\nAnswer: 49\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20369\/21105 - 297784547\/2152710. Let j = -3877179\/17 - -228207. Let h = j + r. What is the common denominator of 19\/2 and h?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)\/g**(-4\/3))\/(g**0*((g\/(g*g**(-3)*g))\/g)\/g*g) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o - o**3 - 5\/2*o**2 + 0. Let q(l) = -3*l - 3. Let y(h) = -3*d(h) + 5*q(h). Let s(b) = 2*b**2. Give s(y(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 7 + 12 + j**2 + j**2 + 2*j**2 + j**3. Let h be w(-2). Find x such that 10\/9*x**3 - 32\/9 - 50\/9*x**2 - 80\/9*x - 2\/9*x**h + 10\/9*x**4 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q + 10 = 0. Suppose -5*f + 57 - q = 0. Let r = -11 + f. Sort 0.3, -1\/4, r in decreasing order.\nAnswer: 0.3, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-12))\/((-2)\/3*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 3. Which is the nearest to 0.1? (a) s (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -831070*q - 831073*q + 1662144*q. Let r(g) = -14*g + 10. Let v(p) = p - 1. Let o(w) = -2*r(w) - 20*v(w). Give o(i(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 - -186. Let s be ((-5)\/l)\/(2\/6). What is the third biggest value in s, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.25538 nanometers to kilometers.\nAnswer: 0.00000000004825538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f - 3. Let j(d) = d + 1. What is -g(x) + 6*j(x)?\nAnswer: -2*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2465.9 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 5, b: 2}. Give prob of sequence lblq.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81616 is divided by 518.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - c - 12 = 0, -c + 0 + 3 = 0. Solve 7*y = 3*y + 5*a + 3, w*y = 3*a + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q\/((q*q**(-2\/5))\/q))*q*q)**(-11)*(q**0\/q)**(-1\/16)*(q\/(q**(2\/9)*q*q)*q\/(q**(-2\/7)*q))\/((q\/q**(-1\/6))\/q**6) assuming q is positive.\nAnswer: q**(42131\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*(10 - 65100\/6555). Is 1 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22162 + -22104. Solve 44*t + 206 = -l for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3520 and 88880.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55808, 111494, 167156, 222788, 278384?\nAnswer: 333938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10)**(8\/5)*y**18\/(y*(y*y*y\/((y\/(y**11*y))\/y)*y)\/y) assuming y is positive.\nAnswer: y**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 132099*w - 132098*w + 3. Let n(s) = -8*s**2 - s + 8. What is n(w)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1216) + -3.\nAnswer: -1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175 - -175.2. Let g = 7.38 + -0.08. Let j = g - 7. Which is the smallest value? (a) j (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by -6326?\nAnswer: 75\/6326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 407581486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 + 45 = -31*m. Suppose -11*s = 4*a - 6*s - 35, 5*a + m*s - 40 = 0. Let r(g) = g**2 - 3*g - 6. Determine r(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 e when four letters picked without replacement from {e: 7, z: 12}?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18123?\nAnswer: 3, 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/9 + (-310)\/(-90)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = g. Let w(o) = -101*o. Let m be w(-5). Let s = m - 509. Sort g, -1, -3, s in descending order.\nAnswer: g, -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2031200130 - -1123?\nAnswer: -2031133001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -83?\nAnswer: 4\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00132952 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -12 - (9 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 4. Let a(j) = -386587*j. Calculate n(a(r)).\nAnswer: -386587*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - 245\/(-14)*28\/70. Let q be (-2 - 4\/(-3))*-9. Solve -g*v + 20 = -q*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -24*w - 13. Let q(v) = -11*v - 6. What is 3*d(t) - 7*q(t)?\nAnswer: 5*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2007*a**2 - 5*a + 4011*a**2 + 0*a - 1997*a**2.\nAnswer: 7*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62 - 15741?\nAnswer: -15813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3, -25, -47, -69, -91?\n\"Answer: -22*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 30. Let h = 27 + g. Suppose -h*f + 2*f = -62. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 + 16*q - 24. Suppose 0 = -195*k + 207*k - 9 - 15. Determine c(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 19. Let p = 10 - 26. Let i be s(p). Suppose 4*q - 103 = z, 45 = i*q - 3*z - 21. Calculate the remainder when 78 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6*v**2 - 114*v - 4448. What is the tens digit of i(-56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/9915116 and -3\/39660464.\nAnswer: 39660464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -25*d**2 - d + 1. Let f be t(1). Let c be (-140)\/f*(-20)\/(-8). Solve -4*r - 4 = 0, c = -3*w - 8*r + 3*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, -1647\/5, -1.3, -1\/5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2 - 3*(-1)\/(-6). What is the tens digit of -38*(-1)\/2*o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.7 times 514434.5?\nAnswer: -6018883.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u + 185. Let y(n) = 6*n - 93. Determine 3*c(i) + 5*y(i).\nAnswer: -3*i + 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + ((126\/(-33))\/(-7) - (-9880)\/(-286)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**6\/60 + 3*d**5\/20 - 11*d**3\/6 + 15*d**2\/4 + 725*d. Factor q(j).\nAnswer: (j - 1)**2*(j + 3)*(j + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 2*a - 3. Let y(h) = h**3 + 6*h**2 + 4*h - 5. Let g be y(-5). Suppose 5*w = -5*x + 5, -w + 6*w - 3*x + 27 = g. What is the units digit of z(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -175735, -175739, -175745, -175753, -175763?\n\"Answer: -n**2 - n - 175733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b**2 - 8*b + 8. Let w(x) = -x**2 - x + 1. Give -8*w(k) + z(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hzznnnnhnnnnhnnhnhn?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0\/4)\/4)\/2. Let h(o) = o**2 + 3*o + 2. Let g be h(x). Solve 0 = -4*d + s - 9, g*d - s + 2*s + 3 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 510*p**2 + 9*p - 2420. Let u(s) = -17*s**3 - 2550*s**2 + 50*s - 12100. Let h(d) = 11*o(d) - 2*u(d). Differentiate h(b) wrt b.\nAnswer: 3*b**2 - 1020*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i - 0. Let w be ((-4)\/10)\/((-1)\/5). Suppose -5*k - 5 = -p + 5, -4*p + 5*k = 5. Sort p, i, w in decreasing order.\nAnswer: i, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85675 at least 20476248\/239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101000221 + 122222220?\nAnswer: 1001000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p**5 - 58*p**4 - 585*p**3 + 2*p**2 + 8381*p wrt p?\nAnswer: -360*p**2 - 1392*p - 3510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -49*d**2. Let w(x) = 4558*x**2. Determine 371*a(j) + 4*w(j).\nAnswer: 53*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(24\/10)*(-48)\/1560?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/11649329 and -42\/5?\nAnswer: 58246645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-15)*-5*1. Let z(b) = -2*b**3 + 3*b**2 + 2*b - 5. Let f be z(5). Let t be (y\/f)\/((-4)\/(-20)). Put t, 4, 0.3 in decreasing order.\nAnswer: 4, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 0)**2 - ((sqrt(14)\/sqrt(7))**2 + 3).\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 31455?\nAnswer: 31452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 3*w + 3. Let t(i) = 2*i**2 + 4*i + 4. Let k(q) = 3*t(q) - 4*x(q). Let b(d) = 6*d. Give k(b(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 24*l + 23*l + 32 - 7 - 19.\nAnswer: -l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -83897.\nAnswer: -16\/83897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-132)*-2)\/((-5)\/(-30))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1544660557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5881217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 469488?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 10, 2*i = -52*b + 55*b + 181. Suppose 6*o + 296 = 2*o. Let x = i - o. Is 43 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273347.8 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-840)\/(-378)*-9)\/((-4)\/(-3))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -2*x**3\/3 - x. Let d(c) = -2*c - 1. Let v(r) = -3*r - 2. Let h(j) = 6*d(j) - 3*v(j). What is h(f(b))?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**5\/60 - j**4\/24 - j**3\/6 - 4*j**2. Let l(t) = t**2 + 2*t + 2. Calculate -l(v) - 2*o(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 81853601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**4*o)**(-3\/5)*(((o**(-2)*o)\/o)\/o)\/(o**5\/o))**45 assuming o is positive.\nAnswer: o**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419895634.\nAnswer: 2, 3613, 58109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 - 6*s + 8*s + 4 + (-s - 4 + 4)*(2 + 3 - 4).\nAnswer: s - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20 + -2)\/(40\/(-160)). Suppose -p*q = -92*q. Determine c so that q + 4\/7*c**2 + 0*c - 6\/7*c**3 + 2\/7*c**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-3 - -7)\/(-8)). Let a = 6 - r. Suppose a*w - 4*k - 5 = 87, 2*w + 3*k = 36. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 3*i**2 + 1 - i**2. Suppose 41*s = 40*s - 4. Let y(r) = -2*r + 5. Let w be y(5). Let h(t) = 3*t**2 - 2. What is s*h(d) + w*n(d)?\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158*s**2 + 2*s - 93.\nAnswer: -316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 80275020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42186\/(-869) - (-224)\/(-154)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -30. Suppose a = 2*q + 39. Suppose o + 3*o - 3*u + 32 = 0, -o + 4*u = -5. Which is bigger: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.3523672.\nAnswer: -0.10571016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.03, -5, -1972, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 173 = 3*a + f, -f = a - 47. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10342241 (base 7) in base 9?\nAnswer: -1587125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17647814 divided by 6\nAnswer: -8823907\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 813430043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 c when four letters picked without replacement from {g: 1, d: 1, n: 1, h: 1, c: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 0*c**2 - 2*c**2)*(30*c**3 + 11*c - 10*c - 3*c)*(-2 + 0 + 0).\nAnswer: -60*c**5 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360785328 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -2) + (-2 - -1). Let g be (-4)\/h*-2 - -1. What is the units digit of ((-2)\/(-6))\/(g\/(-81))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 1\/120*j**6 + 0 + 0*j + 3*j**3 + 0*j**4 - 5*j**2 + 0*j**5. Let b be k(0). What is the highest common factor of 90 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 2:21 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-3) + (-500)\/24 and (0 - 0) + (-435)\/(-72)*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -15, 6, -4 in increasing order.\nAnswer: -15, -4, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvp when four letters picked without replacement from {v: 13, p: 6}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**4 - 98719 + 28*f**2 - 8*f**3 + 98719 - 16*f = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*k + 945 - 280 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -85473*f. Let c(q) = 30*q**2 + 1. Determine c(d(g)).\nAnswer: 219169011870*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 300*g + 19. Is k(41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9\/2*i**5 + 29\/2*i**4 + 0*i**2 - 3*i**3 + 0 + 0*i = 0 for i.\nAnswer: 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 less than -2.726406?\nAnswer: 72.273594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - -278?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 1, t: 1, j: 1, a: 1}. Give prob of picking 1 a, 1 k, and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 626106196 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2959 = l - 3*p, 3*l + 10*p - 15*p = -8861. What is l rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 + 167 = 2*m + l, 0 = l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434505 is divided by 29275?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675338274 by 8658183.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 4*o + 44, 3*j = 5*j - 3*o - 25. Let h be (-12)\/(-9)*12\/j. Let y = -5 + 8. Solve y*d - 3*u = -12, 0*u - h*u = d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5612.\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -3, 6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -69. Suppose 6 - w = -3*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*t + 77*t = -105. Let l(h) = 21*h - 3. Calculate the remainder when l(3) is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 2. Let t(z) = 85*z**2 - 115*z - 6. Let k(l) = -r(l) + t(l). Let v(w) be the first derivative of k(w). What is the derivative of v(j) wrt j?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 203 = -39*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211729888?\nAnswer: 2, 271, 139729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from tkttkstkckktkfkkk?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 60 + -9 - 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 1 + 10*i - 14*i - i - i + i + (-4 + 0 + 2)*(-3*i + 0*i + 4*i).\nAnswer: -7*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-43 - ((-31 + 17 - (1 + -7)) + 9))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -12027 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 126*f - 66. Let n(v) = 5*v - 2. Let s(y) = -198*n(y) + 6*o(y). Let i(w) = 2*w**2. Determine i(s(t)).\nAnswer: 109512*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4836?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8111*x**3 + 2*x**2 + 3*x + 601.\nAnswer: -48666*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26\/8357 - -146509\/28288445. Let f = g - -145114\/213255. Calculate the common denominator of f and 109\/6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p - 40 = -13*p - 2*s, -45 = 5*p - 3*s. Which is the biggest value? (a) -2\/9 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*f - 374*f + 21 = 0. Is 4166\/8 + f\/(-12) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20\/4 - 4)*3671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -36181, -1\/6, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311203 - -13132?\nAnswer: 331001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 2 + 1 - 4. Let j = -1 - -1. What is t(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5913379?\nAnswer: 5913379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*d - 2*u, 2*d + 0*u - 27 = -u. Suppose 7 = -3*g + 94. What is the remainder when g is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/18 and 67\/13718961.\nAnswer: 27437922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3641050?\nAnswer: 2, 5, 7, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 430 and 2236 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17\/12 + -3\/4. Let h = -0.4 - -0.9. What is the biggest value in h, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 5, 0, -4, 699, 2 in increasing order.\nAnswer: -4, 0, 1, 2, 5, 10, 699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 16559247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 374*m + 997. Let v(f) = -7*f. Calculate v(c(n)).\nAnswer: -2618*n - 6979","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19241928 is divided by 1068996.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 2719686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 3 - (2 - (-4 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 222436206 a multiple of 419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*f**6 + 96*f**2 + 93*f**2 + 127*f**6 + 32*f**2 wrt f?\nAnswer: 26040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jljjjjjjjjjjjjjjjjj.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 2:49 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052343095 rounded to 6 dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1.5, -0.1 in descending order.\nAnswer: 1.5, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49231972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.047 - -0.136. Let n = y + 0.011. Sort -7, -0.5, n.\nAnswer: -7, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, y: 1, o: 4, k: 4, r: 4}. Give prob of picking 1 r and 2 k.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 + 5 = 0. Suppose -5*o - a + 4 = 0, -2*o + 4 + 3 = -5*a. Is o greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(-2*a**5 - 1936 + 6*a**5 + 1935 + 125*a**2 - 3*a**4) + (-a**3 - a**3 + 4*a**3)*(a**2 + 3 - 3) - a**5 - 3*a**5 + 6*a**5 + a**5 - a**5 + a**5.\nAnswer: a**5 + 3*a**4 - 125*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*q + 168*q + 168*q + 167*q + 107*q - 768*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-57)\/24*-2 - (-2)\/8. Solve p*c + 8 = -17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*z - 68. Suppose z = 2*l - 0*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/19368669 and 103\/4242.\nAnswer: 271161366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 30*g - 51, -2*g - 96 + 91 = 3*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/133721 + 88533927\/56831425. Let d = j - 36\/25. Let r = 0.02 + -0.42. Put d, 2\/5, r in ascending order.\nAnswer: r, d, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:41 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:58 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = 15. Let k(u) = 5*u**2 + 12*u**2 - 7136*u**3 - 7 - u**2 - o*u. Let x be k(-11). What is x rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (1*sqrt(396))**2 + 3).\nAnswer: 2382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10880 - -13702. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-1))\/((-36)\/(-16) + -2). Suppose 229 = w*d - 4*f - 47, -2*d + f = -136. Let l = d - 58. Calculate the remainder when 59 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1402536568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 4*j**2 + 2*j + 1. Let u be x(2). Suppose 27 = u*w - 3. What is the units digit of 14\/w - 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {x: 2, f: 4, v: 6, s: 1, c: 4, h: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4963580 + -76081754271\/15328. Find the common denominator of -48\/7 and v.\nAnswer: 107296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -142, -3.7?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -116, -228, -340, -452?\n\"Answer: -112*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78*c**3 + 2148731*c**2 - 266089696 wrt c?\nAnswer: 234*c**2 + 4297462*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.161 + -0.039. Is -228 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16525267 is divided by 1432.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10*k**2 - 28*k + 117. Determine m(5).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(4\/10)\/((-2)\/10). Suppose -4 = -i*a - 68. What are the prime factors of ((-9)\/12)\/(2\/(a*25))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:11 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 5*m**2 - 2*m + 2. Let q be h(0). Let r be (-96)\/532 - q\/(-7). Which is the nearest to 2? (a) 3 (b) r (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 499.65726 to 0 dps.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 47\/76?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712 = 2*x - 702, -26 = -3*t + x for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1478 + -601. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -20. Let m be 1 - (y\/(-5))\/1. Let p = 0 + 0.2. Which is the closest to -2\/7? (a) p (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**3\/9 + 30*y**2 - 2700*y + 194. Factor j(p).\nAnswer: -(p - 90)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i - 76*i + 34 + 1374 = 0 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 16 = 2*k, -594*f + 91 = -599*f - k for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151 - -51. Let q = m - -1. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651036.3l to millilitres.\nAnswer: 651036300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7150, -14302, -21454, -28606?\n\"Answer: -7152*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 1067*y**2 + 0*y - 2135*y**2 + 1071*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13457848.\nAnswer: 2, 113, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12007?\nAnswer: 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19425 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -5*o**4\/2 - 2*o**3 - 3*o**2 + 15. Let d(j) = 5*j + 0*j**3 - 10*j**2 - 2*j**3 + 11*j**3 + 15*j**2. Give -6*d(x) - 5*f(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3 + 0 + 2). Is (c - -3 - 24)\/(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65.79 - -10.79. What is the third smallest value in 1, k, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**5*w**2 - 72*u**5*w + 20*u*w**2 + 6*w**2 wrt u.\nAnswer: 80*u**3*w**2 - 1440*u**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 5\/2)\/(3\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 130.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 23*a**4\/12 + 2*a. Let p(q) = -q**2 - 2*q. Let t(v) = 4*v**2 + 10*v. Let j(z) = 10*p(z) + 2*t(z). Determine i(j(m)).\nAnswer: 92*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12441, 12427, 12397, 12345, 12265, 12151?\nAnswer: 11997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*h - 6484 + 9872 = -10756 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 48 = 78 + 17 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468637 = 664*m - 1410*m + 3299*m + 7418*m for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - -5732299886004.\nAnswer: 5732299886004.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b + 6422 - 4644 = 3988 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 59. Suppose 2*p + c - 23 = x, 33 = -0*p + 3*p + 3*c. Let g = 295 + p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 0, -25, 7\/15, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*s - 6, 0*b + 3*b + 5*s = 6. Let g be 1 + 3 + -4 - b. Let c be g\/1*11\/(-2). What is the highest common factor of 77 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31606505 (base 7) in base 15?\nAnswer: 3826d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105698 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u = 280, 402 = -3*o + 59*u - 62*u + 420 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/11 + 116*b**4\/11 + 2314*b**3\/11 + 18712*b**2\/11 + 5592*b + 6336 = 0?\nAnswer: -22, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g)\/g**(-3\/11))**7*((g\/g**(4\/9))\/(g*g**(-1\/5)))\/(g**(-2\/21)*g\/(g**(-1)\/g)) assuming g is positive.\nAnswer: g**(19958\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00195237 to 5 dps.\nAnswer: 0.00195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*t**2 - 241*t**2 + 121*t**2 + 38 in the form w*t + o + u*t**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 1\/1549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.25973 millilitres to litres.\nAnswer: 0.00825973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110101010110101 + 1100011?\nAnswer: -100110101001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -349781.3?\nAnswer: 349780.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -402, -472, -566, -684, -826?\n\"Answer: -12*l**2 - 34*l - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 4 (c) -0.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -23. Calculate the remainder when 17 is divided by 37\/5 - (-6)\/c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110742, -110837, -110932, -111027, -111122?\nAnswer: -111217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -27872285 - 216\nAnswer: -27872501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221 + -130. Suppose 87*u + 168 = g*u. What is the remainder when u is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w + w = 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 36, -5 in increasing order.\nAnswer: -5, 8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11823 and -3.\nAnswer: 11820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 - s**5 + 0*s**5 + (-2 - 2*s + 2)*(-2*s**4 + 0*s**4 + 0*s**4) + 19407*s + 7*s**5 - 19405*s - 22*s**5.\nAnswer: -12*s**5 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 229.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 6*t - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 1. Suppose 7 = 5*h + 2*u - 7, -21 = -q*h + 3*u. What is the second derivative of 2*v - 3*v**h - v - 2*v wrt v?\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(363)*-2*3 + sqrt(363) + -2)*-5.\nAnswer: -550*sqrt(3) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012200 (base 4) to base 3.\nAnswer: 102210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 83*s**2 - 4*s - 1. Let i be p(-3). Suppose 5*d = 4*n + i, -2*d + 308 = -n - 3*n. Does 8 divide d\/9 + 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.818 + -2.182. Which is the nearest to -1? (a) -2 (b) 3.7 (c) q (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -26. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**4 + 4*g**3 + 1. Let v(r) = 59*r**4 - 16*r**3 - 218*r**2 - 4. Let k(p) = 4*i(p) + v(p). What is the third derivative of k(y) wrt y?\nAnswer: 1512*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 0*q + 2 - q + 0. Let h(y) = y - 3. Let s(g) = 5*h(g) + 6*o(g). Differentiate s(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 134\/232071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 59*n**2 + 249*n - 241. Calculate j(63).\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/10 + 11*x\/5 + 12.\nAnswer: (x + 10)*(x + 12)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/(7\/(-7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-1 - 4 + 6)*(-5*q**3 + 9*q**3 - 13*q**3) - 14*q**2 + 14*q**2 + 57*q**3.\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -8. Let i be -34 - (5 + -8)*3\/(-9). Let w = i + m. Solve -2*u - 1 - w = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1471.798mm?\nAnswer: 1471798000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*o + 14, -8 = 4*s + 4*o + 4. Let r be (s - -1) + 18 + -16. Let v(j) = j - 1. Calculate v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2324944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.52 + -4364147.\nAnswer: -4364146.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 9:10 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 56, 110, 174, 242?\n\"Answer: -t**3 + 14*t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - a + 1798, -5*n + 5*a = -0*n - 1810. What is the units digit of ((-22)\/(-55))\/(2\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*w + 2, -3*x + 11 = w. Which is the third smallest value? (a) -3 (b) x (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4403, 7744, 11085, 14426, 17767, 21108?\n\"Answer: 3341*r + 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467890 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -433, -0.0689, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 614.5 + -615. Let u be 2\/(-12)*(-3)\/2. Sort 1, u, z, 4 in ascending order.\nAnswer: z, u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(75)*-3)**2 + sqrt(75) + sqrt(75) + 0 + (4*(-2*sqrt(75)*-3 - sqrt(75)))**2 + -3.\nAnswer: 40*sqrt(3) + 30673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 31. Let v be z(-16). What is the nearest to 4 in -1\/28, v, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**6\/8 + v**5\/4 + 13*v**4\/16 - v**3\/12 - 3*v**2\/4 - 162. Determine r, given that l(r) = 0.\nAnswer: -1, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 = 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -17*q - 5. Suppose -3*g - 3 = 6. Let o be w(g). Let p = o + -21. Solve 0 = 5*r + p, x + r = -3*x - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -4) + -1 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -28*a. Let j(v) = -43*v - 21. Let c(r) = 341*r + 165. Let y(u) = 7*c(u) + 55*j(u). What is y(o(q))?\nAnswer: -616*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*y = -59, -8 = -0*r - r - 4*y. What is the lowest common multiple of r and 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(512) + (sqrt(512) - (sqrt(512) + 2 + sqrt(512)))*1)*2)**2 - (sqrt(512) - sqrt(512)*2*2)**2*-1.\nAnswer: 4624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irgdegb. What is prob of sequence gbe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3646 in 0, 1, -4\/15, 2\/7, -1, -2\/21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 363 - 336. Calculate the remainder when b is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1375136 and 540232.\nAnswer: 15126496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/10, -5, -0.041, 0.5.\nAnswer: -5, -2, -0.041, 1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2871822 is divided by 1141.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2. Let n = 0 + p. What is the biggest value in 4, -2, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59239136 to two dps.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9414 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -8, -2.\nAnswer: -8, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -128893389*o**2 + 128964310 wrt o?\nAnswer: -257786778*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a*a\/((a\/(((a*a\/a**(1\/7)*a)\/a)\/a))\/a)*(a\/(a*a**(-1)))**(9\/11))**23 assuming a is positive.\nAnswer: a**(18906\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/36 + 35*v**4\/18 + 632*v**2. Factor h(t).\nAnswer: -5*t*(t - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 64*d**2 - 5 - 65*d**2 - 129*d to m + j*d + o*d**2 and give j.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-3)\/(-6)*-4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31423779 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 - 4)*(0*c - 4*c + c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29852*m**2 - 123332?\nAnswer: -59704*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 32*o - 11. Let y(b) = -9*b + 68. Let k be y(8). Let d(q) = 11*q - 4. Let c = 717 + -706. Give c*d(a) + k*t(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + 30*q - 38. Calculate d(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1881, -1947, -2013, -2079, -2145, -2211?\nAnswer: -2277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*l - 4*l**2 + 2*l**2 - 7*l)*(-2 - 2 + 6 + (0 + 2 - 1)*(-1 + 3 - 3) + 2 + 0 - 3 + 53 + 120 - 251).\nAnswer: 156*l**2 - 546*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = -y - 0*t, 3*t - 12 = -y. Let m = y - -1. Sort 2, m, 5.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 377 - 203 - 204 - 10*s**2 - 35*s.\nAnswer: -5*(s + 2)*(2*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l - 180. Calculate the highest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q**3 - 20*q**3 - 3*q**2 - 15*q + 17*q = 0. What is q?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -73*l**4\/6 + 5*l**3\/6 - 3475*l**2\/2 + 2402*l. Differentiate h(t) wrt t.\nAnswer: -292*t + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25740032489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 82 = -6*y + 3*h, 0 = 2*y + 2*h - 34. Suppose 14 + y = 3*j. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(8\/2))\/(6\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.06 (b) -2\/3 (c) 1 (d) 4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 15029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -36, -8, -3 in increasing order.\nAnswer: -36, -15, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**20*z**(9\/4)*z**(-20)*z*z**17*z assuming z is positive.\nAnswer: z**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-200)\/(-15))\/20)\/(4\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/24*(-18)\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**5\/20 + t**4\/3 - 4*t**2 - 2837*t. Calculate n(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -415, -837, -1981, -4207, -7875, -13345, -20977, -31131?\n\"Answer: -60*r**3 - r**2 + r - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l + 65. Let f be z(-10). What is the third smallest value in f, 5, 9, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 598659 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**4\/24 - k**3 - k**2. Let a be 25\/(-4) - 4\/(-16). What is u(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpqqpqqqqpp. Give prob of picking 3 q and 1 p.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -44. Are h and 1\/88 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waawwwwawwa. Give prob of picking 2 w.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 434221201 (base 5) to base 6\nAnswer: 104003431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (7 - 4 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.181506 + -7\nAnswer: -8.181506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 236.5 and -311.\nAnswer: -73551.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/24 + 41*g**5\/12 - 2544*g**2. Factor o(w).\nAnswer: 5*w**2*(w + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*b + 0*b - 6*b)*(63635 + 1477*b - 63635)*(-b**2 + 3*b**2 - 4*b**2) in the form v + f*b + w*b**4 + l*b**3 + c*b**2 and give w.\nAnswer: -5908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 12. Suppose j = -4*o - 9, -o - 1 = -0. Let l be h(j). Sort 4, 1, l in decreasing order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6*-8*3. Let y(o) = 11*o**2 - 8*o + 14. Let m(h) = 5 + 6*h**2 - 2*h**2 - 4*h + h. Give q*m(l) - 3*y(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 379 + -383. What are the prime factors of (-163)\/1*(d + 3)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + v + 836. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2898 and 10212.\nAnswer: 214452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -285 - -2563\/9. Put m, 46, 0.5 in decreasing order.\nAnswer: 46, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2, u - 62 = 4*q + 71. Which is the third smallest value? (a) -1.08 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 23*c + 6*c + 7*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -66, -149, -264, -411, -590?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3816 and 9034380?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/14 - -51\/70. Which is the nearest to l? (a) -5 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3879 divided by 4.\nAnswer: -3879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/601269 and -107\/30444.\nAnswer: 2405076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5608.\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -2\/3*u**6 - 5*u + 0*u**2 + 0*u**4 - 5\/3*u**3 + 0 + 0*u**5. Find the second derivative of x(s) wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v**2 + 3*v + 35. Let r(q) = -5*q**2 - q - 18. Let d(y) = 3*l(y) + 7*r(y). Let c be d(6). Solve -6*z + c = -z + a, -5*a + 30 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 3325.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 988300?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -255, -281, -347, -471, -671?\n\"Answer: -3*f**3 - 2*f**2 + f - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 323487?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:34 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:48 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 60 = 11*v. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let u(v) = 9*v. Calculate the least common multiple of u(o) and -2 - ((-2 - 19) + -1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, z: 3, j: 4}. Give prob of picking 3 j and 1 d.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2 + 15 - 15 + 14*m**2 + 27*m wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1\/2)))**(-2\/135)*(z**(-1))**(-42))\/((z**(-1\/3))**7)**0 assuming z is positive.\nAnswer: z**(5669\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.677122328 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 190*r**3\/3 + 1649. Let v(x) = -11*x**2. Calculate p(v(w)).\nAnswer: 22990*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1084, 2194, 3240, 4216, 5116, 5934?\nAnswer: 6664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 3639*q**7\/14 - 523*q**3\/3 + 2*q**2 + 211*q - 12. Find the second derivative of w(r) wrt r.\nAnswer: 218340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -560, -1878, -3150, -4352, -5460, -6450?\n\"Answer: 4*i**3 - i**2 - 1343*i + 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 3\/26, -0.525 in descending order.\nAnswer: 3\/26, -0.525, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208*s**2*u**2 - 2*s**2*u + 35*s*u**2 - 1624*s*u + 2 wrt u?\nAnswer: -416*s**2 + 70*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3466144 is divided by 9245?\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.3 (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 675295546 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -16.019. What is t rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -7*c + 3850. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - 5.5. Let m = x + 1. Let w = 0.006 + -0.106. Which is the closest to -1\/2? (a) m (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgy when three letters picked without replacement from ogyyllloyl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/900*30\/18?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((8220\/69870)\/(-3*14))?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 4*i, 0 = -2*i + 2. Let t be 138\/5 + (-4)\/(-10). Let v = -27 + t. Solve -o*z + v = 5*q - 8, z = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.6441 to zero dps.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1 + 21*f - 4 as m*f + o and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52295856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 33. Let u(q) = 48*q + q**z - 18*q - 30*q. Let l(v) = 0*v + 3*v - v. Calculate l(u(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1247 divided by -4.\nAnswer: 1247\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -26. Solve k + 5*u + x = 0, 5*u + 11 = -5*k + 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-5))\/(-2))\/((-124)\/(-82150)*53).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 1855 = 41. Let r = p - 3462\/11. Calculate the common denominator of 4\/7 and r.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -569730 > -569755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 17. Let t be -6*((-8)\/(-24) + (-2)\/(-3)). Let c be j(t). Suppose -8 = -c*s - 3. Solve -4 + s = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1687 - 1709) + 6 + -3 + 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/250 and -91\/40.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**3 + 10*p**2 - 8*p + 3. Calculate q(3).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**8\/1176 + p**6\/140 + p**5\/105 + 4*p**2. Factor o(t).\nAnswer: -2*t**2*(t - 2)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j - 2*j)*(-10 + 7 - 11) + 0*j + j + 0*j + (3*j - 4*j + 0*j)*(-1 + 1 + 3) - 3*j + 5*j + 7*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -54055, -54089, -54173, -54331, -54587, -54965, -55489?\n\"Answer: -4*x**3 - x**2 - 3*x - 54047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 + 51*l - 153. Calculate the smallest common multiple of 1863 and y(3).\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*(50\/(-6))\/1. Let j be 4 + -4 + (b - 0). Round j to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 2691 = 18*f. Let l = f + 96. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, v: 9}. What is prob of sequence vff?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 771, 6, -16 in descending order.\nAnswer: 771, 6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9140 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.7 in 212\/5, -0.1, -25.18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12498720 and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 16. Let z be 385\/(-28) - 3\/(-4). Let b be j(z). Let h(f) = 12*f**2 - f + 4. Is h(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 3*x**2 + x + 2. Let s be r(3). Suppose s*v = -1 - 4. Let z(p) = -7*p - 1. Determine z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6746 - -10465. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 333076380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46436, 47315, 48194?\n\"Answer: 879*x + 45557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137*a**3 + 3*a**2 - 104*a**2 - 139*a**3 + 83 wrt a.\nAnswer: -6*a**2 - 202*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -3. Let q = 74 + -297\/4. Which is the third smallest value? (a) -4 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 0)*(k + 0*k - 2*k)*(-k**2 + k**2 - 3*k**3).\nAnswer: -15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -169945 and -169934 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*g + 5 = 0, -58 + 43 = -x - 3*g. Sort 73, 6, x in ascending order.\nAnswer: x, 6, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-24))\/((-1)\/(-9))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(41\/(9061\/2890))\/((-15)\/(-195))\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2. Let s(w) = -9*w. Let n = 12 + -6. Let o = n - 2. Let i(k) = 2*k. Let g(d) = o*s(d) + 21*i(d). Determine z(g(m)).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*k - 4*l, 2*k + 4*l - 25 - 31 = 0. Suppose -k*b - 125 = -21*b. Let m = 64 - b. What is m rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3855, 15664, 35425, 63138, 98803, 142420?\n\"Answer: 3976*k**2 - 119*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5054.117 micrometers?\nAnswer: 5.054117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -149511 divided by -1?\nAnswer: 149511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20576 - 78014 = 5*g, 4*g = -4*r + 78848. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -145?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 4:57 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 19 = 8*z + 3*u, -3*u = -3*z + 21. Let v = 274 + 13. Suppose -z*x + q + v = 0, q - 119 = 2*x - 4*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvvvvpvvvvvvv?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjrj when four letters picked without replacement from rrrjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h + 416 - 1274. Calculate the greatest common factor of 273 and h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*(945\/(-30))\/21*4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863960 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 11*d - 5*i - 3753, 3*i = -5*d + 9305. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 1\/((-2)\/(-8*2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -5*m - 39*o + 49, 5*m + 5*m - 5*o + 60 = 15*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3 + 49 - 6 - 5*n. Calculate the remainder when 43 is divided by c(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, 61, 0.\nAnswer: 0, 61, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198\/7 + -757\/28. Which is the closest to -3? (a) -0.3 (b) -7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-1170))\/((-627)\/190)?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 285, 274, 251, 216, 169, 110?\n\"Answer: -6*z**2 + 7*z + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -5, -4\/9, -0.52, 0.5 in decreasing order.\nAnswer: 3\/2, 0.5, -4\/9, -0.52, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2166442 (base 7) to base 4.\nAnswer: 1001213323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*b - 1299 = 8879 + 2611 for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 13\/2 (b) 3 (c) -12 (d) 2 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-105)*25\/50)\/(304\/570)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11295789*w**3 + 47*w + 8122.\nAnswer: 67774734*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, r: 7}. Give prob of picking 1 y and 1 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**5 + 118314*t**4 - 303479*t**2?\nAnswer: 60*t**2 + 2839536*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28567 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: What is the ten thousands digit of 47213?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1140)\/152)\/(10\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2168*y - 7449 = 1884*y + 2491 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, z: 2, v: 1, w: 1, m: 2}. What is prob of sequence fz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.198 + 0.498. What is the closest to -0.1 in c, 5, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*t - 77 = 88*t. Solve t*z + 12 = 80*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 14. Let y be 3 + j + 3 + -107. What is y rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 4*p - 4. Let h be a(5). Suppose 4*y + 3 + 9 = 0. Let z be -3 - (-3 - (-15)\/y). Sort h, 2, z.\nAnswer: h, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 15, 4, 1\/2, 3, -16 in decreasing order.\nAnswer: 15, 10, 4, 3, 1\/2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 5:38 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36950 + -36945. Which is the biggest value? (a) -3\/257 (b) -1\/31 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 5*b**2 + 6. Suppose 6*i - 4*i = 0. Suppose i = -w + 1 + 3. What is the remainder when s(5) is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -582 - 482. Let z be (i\/(-665))\/(1 + (-8)\/10). Factor 12\/7*u**2 + z*u + 2\/7 + 2\/7*u**4 + 8\/7*u**3.\nAnswer: 2*(u + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3443 + -3429. Let p be -2*2\/(-2 - 0). Let h(d) = -p + 0 + 0 - 5*d. Let o(k) = -2*k - 1. Give i*o(f) - 6*h(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 3)*(0*a + a - 3*a) - 3*a + 0*a + 0*a)*(-a + 0*a + 3*a)*(-62 - 156 + 287)*(-2*a**2 - a**3 - 3*a**2 + 4*a**2).\nAnswer: 138*a**5 + 138*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - g. Let m(w) = -5*w**2 - 6*w - 1. Let c(h) = m(h) - 6*x(h). List the prime factors of c(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 3*p**2 - 2. Let v(w) = 413*w**3 - w**2 + 105. Let n(r) = 2*k(r) - v(r). Find the third derivative of n(b) wrt b.\nAnswer: -2490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16290*d**3 + 13158*d**3 + 21968*d**3 - 11378*d**3.\nAnswer: 40038*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10257.64 meters in nanometers?\nAnswer: 10257640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/280 - (-12 - 492\/(-40)) and -16\/21?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2320221 + -12312012?\nAnswer: -3331131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.925 * 12090.\nAnswer: -11183.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 925550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from {m: 7, h: 6}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*b - b = -11079, 0 = 3*i + 2*b + 33254. Let j = i - -16069. Is (j\/10)\/(3\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 2*c + 12. Let n be r(0). Let t be 3\/(-696)*-38 + 3\/n. Is 0 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27668829 to the nearest integer?\nAnswer: 5260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 33*a - 5*a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -37a2?\nAnswer: 379b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -45*t + 452. Let o be u(10). Solve -6 = -y - 3, -4*i + o*y - 10 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45295 - 45290. Sort -5, d, 14, -4, 0 in increasing order.\nAnswer: -5, -4, 0, d, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/11 and -8\/26311.\nAnswer: 289421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.13 (b) -7 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -14776.\nAnswer: -35\/14776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-14*32\/(-784))\/(((-88)\/4)\/(21\/3))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 70.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 (base 9) in base 12?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 84930097?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 30330 + 758. Let c = o + -31041.046. Let m = 47 - c. Round m to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 + -1.3. Which is the closest to -2\/7? (a) 0.4 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*m**3 - m**4 + m**2 - 2*m - 43*m**3 - m**5 + 0*m**5.\nAnswer: -m*(m - 1)**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 5, -14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 9:33 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 + -2 + (8 - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011100110100110 (base 2) in base 14?\nAnswer: 1346a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 68. Let x be i(0). Suppose 0 = 5*u - 4*t - 0*t - 140, -4*t - x = -2*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -2, 4, 1488, 3, 568 in descending order.\nAnswer: 1488, 568, 5, 4, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l - 4. Let m(h) = h - 1. Let a(x) = -7*m(x) + 2*s(x). Let f be a(3). Factor 4*z**2 - 2*z - 4*z**2 + z**f.\nAnswer: z*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6006.\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 475\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5827, 5756, 5685, 5614, 5543, 5472?\nAnswer: 5401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.15789 - 1.27273. Let m = -6.89 + w. What is m rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 - 74. What is the nearest to h in -0.5, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2532007785.\nAnswer: 3, 5, 23, 223, 32911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 7\/30, 0 in descending order.\nAnswer: 1\/2, 7\/30, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 668 = -3*g - 65, -4*a + 1198 = 6*g. Suppose -396 = 3*u + 4*o, -2*u - 2*o - 284 = -6*o. Let c = u + g. Does 23 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17805?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160 + -3?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 - (107 + -81 + (-30 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/578 and -27\/2678?\nAnswer: 773942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37291 - -37284.4508. Let t = v + 4.0345. Let s = t - -2.5. What is s rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7462179 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6, -v - 132 = -3*v - 4*i. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39\/2 and 21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(50)\/(sqrt(15)\/sqrt(3))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -21*v - 42 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5518274.\nAnswer: 2, 2759137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88077151 to the nearest integer?\nAnswer: 9385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 8*l - 6. Suppose 65*q = 62*q - 27. What is s(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z - 24. Let m(f) = f. Let q(p) = -c(p) + 6*m(p). What are the prime factors of q(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1 + 4*m - m + 2*m**2 + m + 0*m**2. Let l be z(-3). What is the second derivative of 2*b**3 - 1 + 12*b + 1 - l*b wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (sqrt(10)\/sqrt(2))**2 + 3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1312271 and 0.0284.\nAnswer: -1312270.9716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, v: 1}. Give prob of picking 1 v and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 46*w**3 - w**2 - w. What are the prime factors of c(1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4314 - 4359. Let o = -6 + -3. Let p be -5*(-6)\/g*o. Is 33\/7 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -v - 4. What is the smallest common multiple of 3*15*(32\/20)\/4 and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 3*v + 0 - 45*v + 14*v + 15*v as m + x*v and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-16) - (-60)\/32. Suppose -l*a - a + 102 = -2*c, -4*a + 134 = -2*c. What is the smallest common multiple of a and 148?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 313 + -577. Let j = 263.903 + s. Round j to 3 dps.\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 6:34 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = x + 14, 0 = -0*x - 4*x - t + 12. Suppose -a - 2*z + 14 = x*a, -3*a = z - 10. Let j be (-1 + a)*-1*-15. Solve j = -2*i - i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 + 78*j + 113. Let k be b(-19). What is the highest common factor of 109 and k?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.7 and -50.95059511.\nAnswer: -52.65059511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/l**(-8\/11))\/l*l)*l)\/(l*l**(-12\/7))*l**(-1\/21)\/l**(-22) assuming l is positive.\nAnswer: l**(724\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -46*x**2 + 1948*x + 468512. Let u(g) = -238*g**2 + 9742*g + 2342560. Let m(l) = 31*a(l) - 6*u(l). Find r such that m(r) = 0.\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-12)*549\/(-366).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/200 + x**5\/50 - 19*x**2. Factor a(m).\nAnswer: 3*m**2*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*o = -3*m + 8, 5*m - 17 = 2*o. Suppose -m*g + 4*g - 13 = 3*d, -3*g = -5*d - 35. Calculate the lowest common multiple of g and 1 + 1 + 5 + 0.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (141 + 1106*g - 141)*(g**2 - 3*g**2 - 2*g**2) as x*g**3 + o*g**2 + s*g + w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 4*d**3 - d**3 + (-4*d**2 + d**2 + 5*d**2)*(1 - 3*d - 1) + (-d + 3*d + 0*d)*(0*d**2 - 4*d**2 + 6*d**2) - 2*d**3 + 2*d - 2*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 17005395.\nAnswer: -2\/17005395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 56. Sort 4, -3, m, -4 in increasing order.\nAnswer: -4, -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (145*s - 117*s - 318*s)*(-145*s**2 + 159*s**2 + 91*s**2) in the form a*s**2 + h + y*s + w*s**3 and give w.\nAnswer: -30450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -308.93 times -3?\nAnswer: 926.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 2*f + 1. Suppose 0*t + 2*l - 18 = -5*t, 4*t + 5*l = 11. Let y(a) = 2*a**2 - 3*a + 1. Calculate t*z(b) - 3*y(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8448752 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2218 and -37\/184413392?\nAnswer: 184413392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 2*v**2 - 3*v + 3. Suppose 0*w = 3*w - 2*y + 9, 4*y - 15 = 5*w. Let f be t(w). What is the third derivative of f*u**3 + u + 2*u**2 - u wrt u?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/27)\/(d**(-12)*d))\/(d*d**(2\/13)*d**1) assuming d is positive.\nAnswer: d**(3079\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1341 - 200150?\nAnswer: -201531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*c + 2*r + 4227, 5*r - 5636 = -4*c. What are the prime factors of c?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6200114717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + 5*d - 3*d)*(d - 3*d + d) + (-d + 0*d - d)*(-1 + 1 - 3*d))*(-3*d**3 - 2*d**3 + 4*d**3).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6385 + -6234. What is the remainder when v is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13130049 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 47*n - 36*n**2 + 20*n + 79*n**3 - 78*n**3 + 49. Let x be v(34). Is x smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55300\/15800*8\/30.\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 62 - (2 + (31 + -20 - (0 + 1))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36661468.\nAnswer: 2, 31, 173, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/9)\/p**(-1\/7))\/(p**5*p*p**(1\/8)*p))**(-4\/41) assuming p is positive.\nAnswer: p**(3407\/5166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100110 + -202101202210?\nAnswer: -202102010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123750?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07378 in 1, 2\/65, -1\/3?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 10*r**2 + 10*r + 15. Suppose 89*q - 88*q = -9. Let h be v(q). Suppose -5*a + 2*a - 3*g = -9, -2*g = -3*a + 9. Solve -h = -0*z - a*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 356979088 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -374?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 3*r**2 - 237*r + 239*r.\nAnswer: -10*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-330))\/((1176\/6000)\/(-49)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/4, -0.62, -1?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 17, 40, 63, 80, 85, 72?\n\"Answer: -b**3 + 9*b**2 - 3*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4746871 to two decimal places.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, j: 1, v: 6, b: 3, l: 1}. What is prob of sequence alj?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 1 - (-12 + -6). Suppose -5*j - 4*z + 35 = -85, -j + 38 = -2*z. Suppose 2*n + 3*s - a = s, 4*n = -s + j. Sort -1, n, 2.\nAnswer: -1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzd when three letters picked without replacement from {m: 4, v: 2, z: 1, t: 7, d: 2, k: 1}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 11. Let q be w(0). Suppose 596*g - 1519*g = -383*g. Let y = -11 - -16. Solve -y*n - 4 - q = g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 1132*p - 11463. Give x(10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5061 + -1.0061. Let u = -3.9 - -4. What is the biggest value in u, -3, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 - 3*r**2 + 9*r**2)*(-6*r + 6*r + 5*r + (2*r + 2*r - 6*r)*(-2 - 3 + 4)) in the form s + m*r**3 + b*r + i*r**2 and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/3 (b) -0.1 (c) 81 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 354488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-26)\/((a*a*a**(1\/6))\/a) assuming a is positive.\nAnswer: a**(-163\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**9\/252 - d**7\/70 + d**5\/20 - d**2 + 12. What is the third derivative of a(i) wrt i?\nAnswer: 240*i**3 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 6966?\nAnswer: 6959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*f + 4 + 3, 1 = 3*s - f. What is the second derivative of -8*y**4 + 103*y**4 - s*y - 102 + 3*y wrt y?\nAnswer: 1140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*o**3*t**3 + 5*o**3 + 88*o**2*t**3 - 172*o**2 wrt t?\nAnswer: -21*o**3*t**2 + 264*o**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -106. Suppose -12*t - 21 = m. Let x be (3\/2)\/3*t\/3. Which is the smallest value? (a) -4 (b) 22 (c) x (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + o - 5*o + 100 = 0, -53 = -d + o. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -32*x + 1. Let d be y(-2). Let p be d\/(-100) - (-2)\/5. Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -449, 26, 2, -4, -17, -1 in ascending order.\nAnswer: -449, -17, -4, -1, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -641906*b = -642042*b + 11696 for b.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39510838 a multiple of 1585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 4*r - 271. Let x be 0 - (-1 + 2) - -8. Suppose 32 = x*o - 3*o. Calculate the greatest common factor of o and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -10*y + 11*y. Let q be (2 - y\/3) + (-15)\/(-5). Suppose 247800000 = -5*z - q*z. Round z to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10202928 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/153*3\/(-2). Let a = f - -12\/17. Is 1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8554684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2791 + -2795. Which is the nearest to 5\/2? (a) 0.04 (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4209908821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 242273 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:18 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32281223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56780 + -37744. What are the prime factors of b?\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -28 - 18 - 28 + 73. Let m(g) = g - 2. Determine 5*a(r) - 2*m(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 5*p + 2. Let x be o(5). Find the second derivative of -3*f**x - 3*f + 3*f**2 + 3*f**5 + 2*f wrt f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*q + 3*o, 0 = q - 4*o - o - 17. Let u be (q\/(-8))\/((5\/2)\/(-5)). Let g be (u + (-30)\/(-9))\/34. Is -1 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**2. Let v(t) = -t**2. Let u(n) = -l(n) - 5*v(n). Let g(z) = -4*z**2. Calculate g(u(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u**6*(u*u*u**1)**(-10\/11))\/((u\/(u\/(u\/(u**(2\/5)\/u)))*u)**(-4\/9)\/(u**1\/u)**(-41)) assuming u is positive.\nAnswer: u**(-3748\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 205 = -18*o. Let a(h) = h**2 - 4*h + 4. Let f be a(4). Let b(s) = 4*s - 5*s - f - s. Determine b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4440 + 4?\nAnswer: -4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 394220\/11998*42\/15?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1451106 and 18544.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 40986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (1 + -4)*-1. Calculate the remainder when 88 is divided by 0\/(-20) - -9*z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) - 1208\/(-432)*6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 222, 341, 466, 597, 734, 877?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-26)\/(-25) - 1). Suppose -2*h - 5*g = 3*h + 60, 24 = -2*h - 4*g. Let i be (h\/10)\/(96\/240). Sort i, t, 0 in decreasing order.\nAnswer: 0, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - p)*(2*p**2 - 5*p**2 + p**2) + 3*p - 3*p + p**3 - p + p + p**3 + 2*p**3 + 438 - 434 + p**3 - 2*p + p**2.\nAnswer: p**3 + p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 21 = -2*s. Suppose -208 = 3*l - s*l. What is the remainder when l is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5682 + 6799. What is the remainder when r is divided by 1099?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y**2 - 72*y + 102. What is p(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-7))\/(1\/7). Suppose 0*j - c*j = -2*q, 4*j = 2*q - 2. Which is bigger: q or 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 10*f + 10. Let x be n(-9). Let u = x - 9. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30.9 + -31. What is the closest to o in -3, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 395\/135 + (-6)\/2. Let n = u + 20\/27. Factor 1\/3*i**2 + n*i**3 - 2\/3*i - 1\/3*i**4 + 0.\nAnswer: -i*(i - 2)*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 841\/21 - 40. Let p = 7708 - 208142\/27. What is the common denominator of o and p?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*p**3 + 28514*p**2 + 6260*p - 544 = 0. What is p?\nAnswer: -2\/7, 1\/15, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -176, -804, -1852, -3320, -5208?\nAnswer: -7516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1939 (base 10) to base 15\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 16. List the prime factors of x\/9*-3 - -14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 80*j - 222. Let k be f(4). Calculate the highest common factor of 1666 and k.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -540*n - 13. Let o(f) = -f. Let q(r) = -b(r) - o(r). Let t(d) = d**2 + 2*d - 11. Let i be t(-5). Is q(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 774 = 3*y. Let n = -538 + y. Suppose -5*w + n = 81. What is the remainder when w is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291863 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -7*s**3\/3 + 34*s**2 + 2*s + 12. Differentiate q(y) wrt y.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.062 - -0.372. Let g = 0.19 + v. What is the nearest to 0 in -3\/4, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - q + 5*q)*(-1675*q - 1590*q + 3051*q).\nAnswer: -214*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 9*d**2 + 22*d + 5. Let n be u(-11). Which is the second biggest value? (a) n (b) -0.059 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/8041 + 8045\/32164. Let i(z) = z**3 + 7*z**2 - 3. Let k be i(-7). Which is the second smallest value? (a) 1\/9 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 46*f**3 - 85*f**2 + 28*f - 6. Let j(s) = -22*s**3 + 43*s**2 - 13*s + 3. Let z(y) = -6*h(y) - 10*j(y). Suppose z(o) = 0. What is o?\nAnswer: 3\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/14*156\/130. Solve -m = 2*y - n, 3*m - 5*y + 27 = 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**9\/1512 + x**8\/420 - x**6\/90 + x**5\/60 + x**3 - 6*x. Let t(q) be the second derivative of p(q). Factor t(y).\nAnswer: -2*y*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2120211111?\nAnswer: 2120211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13 = -19. Let h(q) = q - 2. Determine h(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118 + 117.997. Let z = 3.003 + g. What is the closest to -0.3 in -2\/3, z, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54754 and 1540.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94962 by -931.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*10 + 9 + -3. Let g be 150\/275*r\/4. Let f = -1 - 1. Sort f, g, -5 in ascending order.\nAnswer: -5, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 5*v**2 + 4*v - 2. Suppose -20*i + 0 - 40 = 0. Give n(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 708 - 351. Suppose 388 + i = 5*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*u - 56*u - 19*u.\nAnswer: -178*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 22.1. Let d = u - 1.3. Let m = -0.2 - d. Put 0.5, 4, m in descending order.\nAnswer: 4, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -38.\nAnswer: -5\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.181, 6689, 1 in ascending order.\nAnswer: 0.181, 1\/3, 1, 6689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000034874021687 rounded to six dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -403*u**3 + 7*u**2 + 181*u - 371. What is c(2)?\nAnswer: -3205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.79 or 0.170869?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 861 and 1193241.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1583*v + 1836*v - 5060 = 0. Solve 2*c = 4*o - 10, 5*c - 7*o + 2*o + v = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 703, -4, 13.\nAnswer: -4, 13, 703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -26, -28\/43, 0.1 in increasing order.\nAnswer: -26, -28\/43, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 3:33 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -2*b**3 + 70 - 3\/4*b**4 + 9\/2*b + 3\/2*b**2 + 3\/10*b**5. Find q such that g(q) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:24 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 203507702 a multiple of 3684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l. Let g(k) = 6*k**2 + 5*k. Suppose -5*q = 3*m + 2, 0*q = 5*q + 5. Calculate m*g(i) - 5*j(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*b - 0*b + 100 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3549 divided by -3549.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 times -13010?\nAnswer: -1574210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 36 = -3*d, -2*a + 4*d + 2 - 54 = 0. Let m be 4 + (-2)\/(-10) + 106\/a. Let m + 1\/3*b**2 + b = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -168.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1214*g**2*y**3 - 4687005*g**2 - 1878*y**2 wrt y.\nAnswer: 3642*g**2*y**2 - 3756*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**3 + s**2 + 5*s - 6. Let q(w) = -5*w**3 + 2*w**2 + 4*w - 8. Let g(v) = -4*n(v) + 5*q(v). What is the remainder when g(5) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 1589 and 1586 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + o + 10 = 0, -x + 5 = -2*o - 0*o. Suppose t + 4*y - 16 = -0*t, -5*t - x*y = -35. Suppose 2*a + h = -0*a + 321, -t*h = 5*a - 807. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -34, -53, -72, -91, -110?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6981527?\nAnswer: 7, 523, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 1\/2 (b) 1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34442 - 2244?\nAnswer: -42241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -4*j - 4*j. Suppose 8*s + j = 9*s. What is the least common multiple of s and 21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11662 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 1 = 4*l, l - 225*q + 220*q + 7 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-44)\/8)\/11*(0 - 32). Solve -2*i - p = f + 2*i, i = 2*f - 13 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004831445 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4351*d**2 - 27159*d + 13582*d + 8 + 13565*d + 14 wrt d.\nAnswer: -8702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1622 (base 9) to base 15.\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*s + 4354*s - 461952 = -1356*s - 861*s for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (534\/(4 + -6))\/(9\/6). Let y be 12\/(-42) + 1*n\/(-672). Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 109 = -12*q + 13 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 + (-30 - ((454 - 472) + (1 - -6))).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42623 is divided by 650?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8006926 and 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*j - 20, -3*r + 32 = 4*j - 2*j. Suppose -3*k + 6*k = r. Let p(o) = -o + 5. Calculate p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27117 and 71001.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 0 + 6 + 1 + 67*h**2 in the form t*h**2 + q + l*h and give t.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(273\/(-36)))\/((-11)\/(-3) + (-67760)\/23520)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**2 - 3*q. What is n(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-11352)*((-35651)\/(-55))\/7 - 2\/10?\nAnswer: -2\/473","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/(i\/i**13))**(1\/32) assuming i is positive.\nAnswer: i**(17\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -0.66, -2.76, 2\/15.\nAnswer: -2.76, -0.66, 2\/15, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 1. Let j be p(-1). What is the units digit of j\/(-2)*(-24)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 0.1559616540798?\nAnswer: 1.8440383459202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 530499*b**2 + 0*b - 538604*b**2)*(b - 4*b + 5*b) + b**3 + 0*b + 0*b.\nAnswer: -16209*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 234?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1769 - 4?\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-21)*(-2 - (-77)\/14). What is the highest common divisor of 240 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2487*f + 96. Does 29 divide r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 12 = 8*c + c, -6*t = -3*t - 4 - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 31458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 + -93. Suppose -7*t = -3*t - u. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260523 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 42 + 102. Let p = 38 + b. Suppose 3*w - 54 = 2*c + 6, 0 = -p*c - 6. What is the lowest common multiple of w and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 5088\/42073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2. Calculate n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 13*x + 47. Let s be j(-7). What is the second derivative of 14*z**s - z**5 - 75*z - 4986*z**3 + 4986*z**3 wrt z?\nAnswer: 260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {h: 1, v: 2, e: 1, p: 11, t: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1110 divided by -10\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 120*r + 434. Calculate the least common multiple of 126 and k(-118).\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*o**3 - 521*o**3 + 368*o**3.\nAnswer: 229*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3285, 6571, 9857, 13143, 16429?\nAnswer: 19715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20746227, -20746229, -20746233, -20746239, -20746247, -20746257, -20746269?\n\"Answer: -j**2 + j - 20746227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 + 8.9. Let m = g - 11.6. Let n = 66 - 397\/6. Which is the closest to n? (a) m (b) -2 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2965642, -11862521, -26690652, -47450035, -74140670?\n\"Answer: -2965626*m**2 - m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 9*g**2 + 13*g + 25. Let b be j(-10). Let l(a) = a**3 + 7*a**2 + 10*a - 1. Let w be l(b). What is the units digit of 6\/2 - w*(-1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (sqrt(68)*-3)\/sqrt(4))**2.\nAnswer: -120*sqrt(17) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 4*y + y**3 + 2 + 2*y**2 + y**2 + 2*y**2. Let x be q(4). Suppose -x*u + 40 = 2*u. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(3 + (sqrt(847) + -2*(sqrt(847) + -1) - (sqrt(847) + sqrt(847) + (1 + sqrt(847))**2 + 3)) + -2).\nAnswer: -20352 - 1320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(28\/490)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 z when three letters picked without replacement from ezzzzzee?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57*85\/1122 + 4\/(-22)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 88. Give z(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2121 + 2123.7. Is -4 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 24. Suppose -8 - 8 = -4*f. Let z = 0 + f. Solve -s = -z + u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -4. Suppose -s = -2*s + 30. Suppose f*p = 3*q - 18, 2*p - p = 3*q - s. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4268 and 148507.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1221111 (base 3) to base 14\nAnswer: -733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-17)\/(306\/(-3144)). Let s be 2*(-3)\/(-6) - -168. Let i = z - s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 4214\/(-35) - (-4)\/10. What is the common denominator of 29\/55 and (106\/q - -3) + -4?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4928 is divided by 289.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5461104*r**2*t**2 - 3*r**2 + 8*r*t**2 + 8*r*t + 23*r - 34*t**2 - 3*t - 1 wrt r?\nAnswer: 10922208*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -37) + -4 + -7 + 10 + 5.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1909574.\nAnswer: 2, 173, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(176) + 1) + sqrt(176) + -2*(1 + sqrt(176)))*-6 + -1)**2.\nAnswer: 8400*sqrt(11) + 159625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1801, -3644, -5559, -7552, -9629?\nAnswer: -11796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 6:52 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -882*x**2 - x + 3. Let h(n) = 23*n**2 - n - 1. What is -3*h(g) + w(g)?\nAnswer: -951*g**2 + 2*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 6*u - 4. Let t be (30\/(-5))\/((-6)\/4). Determine w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 0, -12\/19, -6, 456, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 2, f: 1, o: 1, a: 2, h: 1}. Give prob of sequence op.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 109238318, 218476639, 327714960, 436953281, 546191602, 655429923?\n\"Answer: 109238321*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9749 + -7.706.\nAnswer: -6.7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 25, 31, 41, 55, 73?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 10394.43l?\nAnswer: 10394430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-12)\/5)\/((-15)\/50) and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/20*(-2*1 + 2). Suppose 8*a + x*a = 5*a. Which is greater: a or -1\/204?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275 + 284. Let l be (-3)\/(135\/(-20))*n. Solve -3*h - j + 2 = -6, -14 = -l*h - 2*j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cybfgffbybffdfgfbg. Give prob of picking 1 f and 1 b.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 8*c + 14. Let b = 8 - -2. Let t be w(b). Let i be (t\/18)\/((-1)\/57). Calculate the highest common divisor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2366, -25, 7, 2 in descending order.\nAnswer: 7, 2, -25, -2366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -t - 51, -129 = -3*c - 2*c + 4*t. Let r(w) = 3*w**2 - 74*w - 21. Let l be r(c). Solve -3*n + 1 = l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7066, -14304, -21722, -29326, -37122?\n\"Answer: -a**3 - 84*a**2 - 6979*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66271.\nAnswer: 66271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*p**3 + 9*p**3 - 14*p**3)*(-p - 4*p + 3*p) + (-5*p + 5*p + 10*p**3)*(6*p + 2 - 5 + 1).\nAnswer: 50*p**4 - 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 294127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9374384 milligrams to micrograms.\nAnswer: 937.4384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*q + 44*q - 88*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4502*a**3 - a**2 - 4*a - 3. Let z be x(-1). Let r = -283586\/63 + z. Find the common denominator of r and 7\/11.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 174, 357, 590, 879, 1230, 1649?\nAnswer: 2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -301, -531, -807, -1123, -1473, -1851, -2251?\nAnswer: -2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 41*x**2 - 38*x**2 + 19.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -210. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*v - 18 - 0, 4*v - 24 = -4*t. What is the lowest common multiple of (6\/(-4))\/(12\/(-88)) and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 10:32 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3691.3 + 3517. Let f = n + 174. What is the nearest to 0 in f, 13, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143830575 and 14175?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 149 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*n = -390*n. Let q(b) be the first derivative of b**3\/3 + 253*b - 1. Is q(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, u: 4, j: 2, p: 1, b: 1, f: 1}. Give prob of picking 1 f and 1 p.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l - 3*l)*(-3 + 1 + 1) - 2*l - 4 + 4 + (0*l - 4*l + 2*l)*(-2 + 0 + 4) + 25 - l - 25.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 123, 2 in decreasing order.\nAnswer: 123, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5395 + 2272 - 2538 = -117*w - 5635 for w.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -6*(sqrt(243)*-2 + -2) + -5)*-4)**2.\nAnswer: 41472*sqrt(3) + 562176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 1\/5, 2, 28, -650 in ascending order.\nAnswer: -650, 1\/5, 2, 28, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**(-2\/191))**(-1\/45) assuming n is positive.\nAnswer: n**(4\/8595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f*f*(f*f**(1\/2))\/f*f*f)*f*f**(-3))\/((f**(-2\/7)*f)\/f)**(2\/21))\/(f**2\/f*f*f**6*(f**(-2\/5))**48) assuming f is positive.\nAnswer: f**(11359\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -312.0435 rounded to one decimal place?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2. Let j(x) = 2*x. Give z(j(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 7. Let i(j) = -2*j - 6. Let u(a) = 5*f(a) + 6*i(a). Let g be u(-4). What is g rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 8:13 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + 68 - ((-4 - -3) + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365893?\nAnswer: 167, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 533 + 181. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 4)*(-6)\/4. Let c(i) = i - 8 - u*i + i. Calculate the remainder when 39 is divided by c(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1f (base 16) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*z - 202 = 57*z - 2802 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*i = -364*i - 297985. What is i rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*z + 405, 4*z = 3*j + 301 + 102. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 - -331d34?\nAnswer: 331d4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -29536.26447 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -23*z - 100. What is k(-12)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/11)*r*r\/(r\/(r**(-4)\/r)))**(-2\/21) assuming r is positive.\nAnswer: r**(14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 4. Suppose 16 = -4*c + 8. Is w greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12370 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 772 - -29. Does 47 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00089384 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 + 12*l**2 - 9*l + 6. Let q(n) = -11 + 12*n + 2*n - 8*n**3 - 23*n**2 - n**3 + 3*n. Let k(i) = 6*q(i) + 11*v(i). Give k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16 + -9 + (1 - 6). Suppose -z = -5*x + x + 64, -g*z = 0. Calculate the remainder when x is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -277*k**7\/42 + k**4\/4 - 64*k**2 + 47*k. Find the third derivative of m(g) wrt g.\nAnswer: -16620*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1485.5 from 2.\nAnswer: -1483.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18210, 19275, 20340, 21405, 22470, 23535?\n\"Answer: 1065*n + 17145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 + -6 + -16 + 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 44 = -38 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 515 - 510. List the prime factors of c + 7 + (809 - 3).\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-1 + 3 - 3)*(-167 + 167 + 8*h**2).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 226556092 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2210 - 2204. Solve i + 8 = 2*r - c, 2*r + 2 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 19*z**2 - 2281. Let a(w) = 0*w + 4*w - 3*w. Calculate a(o(s)).\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/40 - q**5\/60 + q**3\/6 - 4*q**2. Let t be u(2). What is the greatest common divisor of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 68520*y - 137154*y - 2 + 68618*y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -994, -1989, -2984?\n\"Answer: -995*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 times 1004\nAnswer: 481.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/36*(640\/3220)\/(-8).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 785026 and 1548734.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -130*a + 28*a - 67*a - 45. List the prime factors of i(-2).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 3*j**2 - j + 3. Let c be n(-2). Let s = 28 - c. Suppose s = a + 8. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 3540*y**2 + 7044*y + 28272.\nAnswer: 3*(y - 1178)*(y - 4)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 1. Suppose 3*v + 3*i - 261 = -0*v, -3*i = -2*v + 199. Let k = 89 - v. What is l(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 11) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 1471*n**3\/2 - 2964*n**2 - 5589*n. Differentiate r(o) wrt o.\nAnswer: 4413","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*q = 7, -2*q = -5*g - 0*q + 100. Let z be (-29 + 3)*g\/(-4). Let i be ((221\/39)\/17)\/((-1)\/(-39)). Calculate the highest common factor of z and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026477 bigger than 1026465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:32 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 2)*-3 - (-5 + -28). What is the highest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130665 (base 7) to base 14.\nAnswer: 39a6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/12 + x**3\/6 - 13*x**2\/2 + 19*x. Let z be v(3). Which is smaller: -1\/102 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -0.166.\nAnswer: 16.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -83 times -5737\nAnswer: 476171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -50, -3, 2\/7, -0.5 in descending order.\nAnswer: 2\/7, 0, -0.5, -3, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-244*c + 36*c - 189*c)*(4 - 4 - 5)*(c**3 - 2*c**3 + 0*c**3).\nAnswer: -1985*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxegxllxxqxexge. Give prob of picking 2 g, 1 q, and 1 x.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158 or 33245?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21197, 42349, 63503, 84659, 105817, 126977, 148139?\nAnswer: 169303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 434689 divided by -7?\nAnswer: -434689\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/10 + 14\/(-4)*4. Let l be 5*(-1)\/(-20) - k\/(-8). Let h be (16\/(-12))\/(l\/3). Solve 0 = -h*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-4)\/w)\/w)\/w*w)\/w**(-2)*(w**1)**(-3\/20)*(((w\/(w\/w**(-2)*w)*w)\/w)**29)**(-33) assuming w is positive.\nAnswer: w**(57357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*y + 21. Suppose 5*k + 93 - 208 = 0. Suppose -y*n + 21 = -k. Let z(p) = -p**3 + 4*p**2 - 5*p - 1. Give z(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((11\/(-55))\/(6\/(-10))*-23)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15266301 (base 7) to base 3\nAnswer: 2202021111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -3)*8\/28?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 3*r**3 + 2*r**3 - 5*r - 4 - 6*r**2 + 3*r. Give w(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 52*h + 238. Give l(-47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(76)*-1 + ((sqrt(76)*-1 + sqrt(76))*4)**2 + 3.\nAnswer: -2*sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2. Let r(z) = 4851*z - 198. Let c(f) = 99*f - 4. Let a(h) = -99*c(h) + 2*r(h). Give a(j(i)).\nAnswer: -396*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0474 times 17?\nAnswer: 0.8058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156353\/206 - -759. Let t = w - 311\/412. What is the common denominator of -69\/8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -740383 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/2 - 0 - (-89152)\/128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17415 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1437 and 479.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 38 = 3*l, 4*s - 2 = -2*l + 10. Suppose 4*n - 170 = -l. What is the highest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**25*c**(-12))\/((c**25*c)\/c*c**(-30)) assuming c is positive.\nAnswer: c**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 10:56 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(2 - 2 + 1) - 1 + 3 - 3 - 1 - 1 + 5)*(3*g - 2*g - 3*g + (0*g + 2*g - g)*(-2 + 7 - 4)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 8*j + 3. Let p be h(8). Suppose p*c = c. Is c at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41040450 and 50160550.\nAnswer: 451444950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9)*d\/d**(-1\/5)*(d\/d**1)\/d*d**(-1\/55)*d\/(d\/((d\/(d*d*d*d\/((d\/(d*d**(1\/3)))\/d)*d*d*d))\/d)*d)*d**(-2\/7) assuming d is positive.\nAnswer: d**(-4259\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 0*j + 0*j)*(-16 - 12 + 23).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555601?\nAnswer: 101, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3013546570 to the nearest integer?\nAnswer: 1444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -621 - -1183\/2. Calculate the common denominator of z and -81\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 + -1 - (62 - 51 - (-68 - -58))?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1190408218 * -0.3.\nAnswer: 357122465.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-20)\/(-8) + -1). What is the common denominator of 89\/2 and n\/4 + -5 + (-94)\/(-32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (6 + -3 - 1). Let z be (-20)\/(-9) - i\/18. Suppose -2*t + 0*t + 10 = 3*h, -5*h = -3*t - 4. Solve z = -k - h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 783, 1735, 3061, 4761, 6835?\nAnswer: 9283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22054 + 22063. What is the lowest common multiple of 123 and v?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3) + -14 + 9 + -12 + 8 - 130.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -l + 40 + 9, 5*s = 5*l - 225. Let y(u) = u**3 + u**2 - u + 1. Let n be y(2). What is the highest common factor of l and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 15. Let l = 5.7 + u. Which is the third smallest value? (a) 0.3 (b) l (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -6, 0.1, 31, 2.4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*12\/(-840) + 55\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -781*l**2*w - 2*l**2 + 258 wrt w?\nAnswer: -781*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from bnbrbbbrbnnrbr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123623901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863 - 76*o**2 - 863.\nAnswer: -76*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12*(20\/90)\/(1\/6). What is the units digit of 4\/l - (-1341)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 205086*i**2 - 72554 wrt i?\nAnswer: 410172*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1076*0.1.\nAnswer: -107.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(-2 + sqrt(1100) + 5))**2 + (2 + sqrt(1100))*-1 + (-1*-1*sqrt(1100))**2.\nAnswer: 5990*sqrt(11) + 111998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4783?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 120.9837kg?\nAnswer: 120983700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d - 588 = 0. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f = 44*f + 15. Let w be (f\/(1 - 16\/20))\/(-1). Suppose -2*u = 2*o - 44, u - w = -4*u. Solve -7*q = -2*q - 5*i - 10, 2*q - 5*i = o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**2. Suppose 0*j - 9 = -3*l - j, -2*l = -4*j + 8. Suppose 5*t = 2 + 8. Let i(m) = t*m**l + m**2 - 2*m**2. Give i(r(f)).\nAnswer: 49*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13466028047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 917717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(80) + sqrt(80) + 1 + -4)*4 - -5*(((sqrt(80) - (sqrt(80) + 0))*-4 - sqrt(80)) + 2*(sqrt(80) + -1*sqrt(80))))**2.\nAnswer: -264*sqrt(5) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 284 and 16.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3698446214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -87482042*q**4 + 3*q**3 + 87482043*q**4 - 1 + 0 - 11*q + 2*q**2 as y*q**3 + k*q**2 + i*q + n*q**4 + b and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - 10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 290538?\nAnswer: 290538","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:00 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14959614*3.\nAnswer: -44878842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f - 3*m + 33, -3*m = 9. Factor -35*z - f + 6 - 45*z**2 + 11 + 7.\nAnswer: -5*(z + 1)*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.69 + -46.71. Let o = 23 + r. Which is the third smallest value? (a) o (b) -0.4 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - s. Let h = -48 + -40. Let t(d) = -48*d**2 + 44*d. Let w(l) = h*u(l) - 2*t(l). Let n(r) = 3*r. Give w(n(q)).\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2223248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64, -119, -174, -229?\n\"Answer: -55*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5572*v**3 - 16620*v**2 + 288*v = 0.\nAnswer: -3, 0, 24\/1393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.77 and 0.14059.\nAnswer: -2.62941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 5*l - 4. Let s = -276 - -404. Let z = -112 + s. Calculate the lowest common multiple of z and c(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2576 and 95956?\nAnswer: 383824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110104282 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -27?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/7 - 44\/77. Let q(p) = 4*p**2 - 2*p - 4. Let c(b) = 3*b**2 - b - 3. Let t(x) = -3*c(x) + 2*q(x). Let l(g) = g**2 + 4*g. Calculate r*l(z) - 2*t(z).\nAnswer: z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -12 + (-2 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221122 (base 4) to base 14.\nAnswer: -265c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 + 2*z**3 + z**2 - 7*z**4 - 416*z - 419*z + 18 + 837*z to t*z**4 + o*z**2 + n*z**3 + v + x*z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70, 69, 66, 61, 54?\n\"Answer: -b**2 + 2*b + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let u(i) = 28*i + 4. Let h(s) = -24*a(s) - u(s). Suppose -46*v - 10*v = 11*v + 335. Give h(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -212*((1400\/48)\/(-25))\/(28\/(-12))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-1)*a*a\/(a**(-2\/5)*a)*((a*a**(3\/7))\/a)**(-49) assuming a is positive.\nAnswer: a**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -50, -101, -186, -317?\n\"Answer: -2*b**3 + b**2 - 18*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49026, -196072, -441136, -784218, -1225318, -1764436?\nAnswer: -2401572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r**2 + 1876*r. Let u(q) = 10*q**2. Determine o(u(h)).\nAnswer: -900*h**4 + 18760*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6412\/(-1145)*(-180)\/(-14)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1113 + 3697. Does 37 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 18458436.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000093758707 to 7 dps.\nAnswer: 0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.38363862 to 1 decimal place.\nAnswer: 22.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8.6 in 23, -3\/8, -2\/11, -33.6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1312 - 1330.67. Round l to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -53, 117, 355?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m + 157. Let f be d(-22). Suppose 4677 - 261 = f*l + 4*t, 3*l + t = 4425. List the prime factors of l.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256473*-0.0256.\nAnswer: 6565.7088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2525 - 34?\nAnswer: 2461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13\/5)*y*y*y\/y**(6\/11))\/(y**(1\/20))**(-27) assuming y is positive.\nAnswer: y**(53\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.201 + 0.301. What is the nearest to j in -3, -10\/11, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5665, 2\/5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -5, -5*s = -d + 4*d + 19 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 921066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 708 and 1947?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-55) - (-14)\/(-10) - 2. Put 1, n, 3, -5 in decreasing order.\nAnswer: 3, 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*n = -3*n - 12, 2*h - 3*n + 3 = 0. Let o = h - -2. Suppose -2*x = -x - o. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 640\/(-64)*(-8)\/450 and 70\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbiqiq. What is prob of picking 2 b and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**37\/(s**(1\/55)\/s))\/(s**(1\/2)\/((((s\/(s*s\/s**(-40\/9)))\/s)\/s)\/s)) assuming s is positive.\nAnswer: s**(28747\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5251066056.\nAnswer: 2, 3, 8103497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44893799 is divided by 1225?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -134, -124, -114?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*o**2 + 10*o**2 + 41*o**2.\nAnswer: 138*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + (-5 - -310) - 2*-2?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 45745.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92399667?\nAnswer: 3, 83, 371083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 70, -2\/7, 4, -2, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(1\/3)\/r*r)*r**(-1\/5) assuming r is positive.\nAnswer: r**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*n = 182, 5*d = 6*d - 5*n + 106. Which is greater: -78 or d?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-9)\/(-3)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 2, v: 1, y: 4}. Give prob of sequence byv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3018746, 3018745, 3018744, 3018743, 3018742, 3018741?\n\"Answer: -q + 3018747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6*u = u. Let y(w) = -w**2 + 4*w. Let a be y(3). Suppose 0 = -4*b + 5*i + 20, -2*b + 10 = 2*i - 4*i. Solve u = -b*g - 17 - a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Let u(y) = 2*y**3 - y**2 - 39*y - 8. Let p be u(-4). Suppose l*s - 6 = -2*x, -p = -x - 2*s - 0. Solve -4 = -v - x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -25*z - 32. What is the units digit of m(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2421 + 200302?\nAnswer: 142331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3703 (base 9) to base 5\nAnswer: -42012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1516440 and 1344.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(176) + 0 - sqrt(176)) + 0)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = -3*n - 4995. Let d = 98 - -2481. Let r = n + d. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 45\/8 of a week?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3185 and 1610?\nAnswer: 146510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5261820?\nAnswer: 2, 3, 5, 87697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, -9, -49, -105, -177, -265, -369?\n\"Answer: -8*p**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17346 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 4, u: 3, k: 4, w: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335571684?\nAnswer: 2, 3, 7, 353, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - l - 4)*(-50 - 81 - 182) + 0*l + 4*l - 2*l as i + z*l and give z.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -445343 - 2?\nAnswer: -445345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**3 + 27*p**2 + 315*p\/8 + 75\/4.\nAnswer: 3*(p + 2)*(4*p + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1332223?\nAnswer: 1332213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (148 + 408 + 471 + 115)*(9*z - 5*z + 6*z).\nAnswer: 11420*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5 = 5. Let r(v) be the third derivative of 0*v**3 + 0*v + 0*v**7 - 1\/560*v**8 + 0*v**5 + n - 1\/40*v**4 - 2*v**2 + 1\/100*v**6. Factor r(p).\nAnswer: -3*p*(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.91, 1\/2, -5, 1, -3\/5 in increasing order.\nAnswer: -5, -3\/5, 1\/2, 1, 6.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-60))\/((-1)\/10*100\/40)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11223 at least as big as -11221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*f - 15, m - 21 = -2*f + 6*f. What is the smallest common multiple of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 756.\nAnswer: 29\/756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8579244 + -4579244. Suppose 0*v = v + m. What is v rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16365*z**3 + 11*z**2 - 3288?\nAnswer: 98190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1191.2183 to 1 decimal place.\nAnswer: 1191.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -832, -1660, -2488, -3316, -4144?\nAnswer: -4972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 29, 211, 749, 1835, 3661, 6419, 10301?\n\"Answer: 32*b**3 - 14*b**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 t, and 1 g when three letters picked without replacement from {t: 2, g: 1, d: 3, q: 3, c: 3, n: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18698, 18697, 18696?\n\"Answer: -n + 18699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 3*q - 3. Suppose 10 = 3*g + 4. Give l(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 148 = 5*w, 0 = -w + v - 6*v + 40. What is the highest common divisor of 75 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (2\/(-36) - 0 - 576833\/(-16938)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -15*q - 108. Let s be (18\/(-174))\/((-20)\/q + -1). Which is the smallest value? (a) 0.2 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3333423420 (base 5) to base 10.\nAnswer: 7326735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*x + x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-7 - -1) + -4 + 8 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 117091 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {g: 1, z: 1, h: 2, d: 2, l: 1, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {n: 4, t: 2, r: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 254478 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -3*a + 32, a + 37 = j. Solve j = 4*p - 19*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + 11.7. Let u = z + -10.08. Let c = u + 0.58. Put c, -0.1, 3 in decreasing order.\nAnswer: 3, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/3*a + 4\/3 - 4\/3*a**2 + 14\/3*a**3.\nAnswer: 2*(a - 1)*(a + 1)*(7*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of -8 - (-5 + -10) - -1706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -13*f**2 - 37*f - 3. Let s be z(-3). What is the units digit of (-8)\/(-6) + (-879)\/s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - (2 - (-5 + 4)\/1). Suppose 0 = -u*a + 281 + 14. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-72)\/(-27)*(-3)\/12. What is the third biggest value in n, -1\/2, -5, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/60 - o**4\/3 - o**3\/2 + 5*o**2. Suppose 5*n - 14 - 25 = -4*p, 0 = 3*n + p - 22. Calculate j(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/7, 3, -285?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/708 and (3 - 12) + 289\/32.\nAnswer: 5664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - (-6 + -49)) + 4\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:05 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 33*h**2 - 40*h - 222. Give a(-34).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 25. Calculate the highest common divisor of 64 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j - 7. What is the units digit of h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:24 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from twzkzzkwaz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 59\/2099528?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.03 + 0.77. Let p = h - 1.8. Let x be (-1)\/(-21) + 4\/(-12). What is the closest to x in -0.5, p, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 708153\/26 and 27238 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3015399 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96370038, 192740074, 289110110, 385480146, 481850182?\n\"Answer: 96370036*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-52 + 16)*(11 - 2). Which is smaller: 5\/22 or g?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -3, 5, 24, -6 in ascending order.\nAnswer: -6, -3, 1, 3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:52 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1228274 and 3705?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*r - 1995558 = -94*r. Is r a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.5 - 16.9. Which is the closest to 2? (a) l (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 6*t - 5. Let d be n(-6). Let y = -132 - -141. Suppose -5 - 4 = -y*w. Put w, -20, d in increasing order.\nAnswer: -20, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 325\/3, 1, 0.06, -0.4, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11020?\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = -4*k + q + 5402, -3*k + 3763 = -5*q. What is the remainder when k is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -20.453, 7, 0.1, 3\/2, 5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:57 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-144)*2)\/((-612)\/1632)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1935960 by 11388.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 53943863?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 409 - 165. Suppose -7*b = h - 279. Let v(k) = -k**3 + 3*k**2 + 6*k - 7. Calculate v(b).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**5 + s**3 - s**2 + s. Let v(x) = -19*x**5 - 6*x**3 + 6*x**2 - 11*x. Let u(z) = 6*n(z) + v(z). What is the second derivative of u(d) wrt d?\nAnswer: -260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -450092592*w**6 + 903553258*w**2 wrt w.\nAnswer: -54011111040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 3*n + 2*k, -44 = n - 5*n + 4*k. Suppose 24 = -4*m + 5*p, -2*p + n - 12 = 5*m. What is the second biggest value in 3, 4\/3, 10, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(243) + -3 + (sqrt(243) - ((sqrt(243)*1 + 0 - sqrt(243)) + sqrt(243)))**2).\nAnswer: -36*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*a**3 - 20*a**3 + 15*a**3 + (-a + 4 - 4)*(0*a - a**2 + 0*a) - 2*a**3 - 2*a**3 + 6*a**3 + 2*a**3 - 3*a + 3*a + (-3 + 1 + 3)*(2*a**3 + a**3 - 4*a**3).\nAnswer: 63*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -x + 9 + 22, -5*w = 4*x + 1. Suppose 4*r - x = 2*r - 2*d, d = r - 11. Calculate the remainder when 19 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(475) + 1)*6)**2 - (3*(sqrt(95) + 1*sqrt(95)))\/(sqrt(245)*-1).\nAnswer: -17136 - 2514*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69008.3 - 65908. Let z = t + -2800. Let x = z - 288. What is x rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -897 by -1.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 22 = 3*d - 18, 0 = 4*c - 5*d + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -855*p + 847*p - 19 = 3*m, 0 = 3*p - 162*m + 164*m + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -91055825?\nAnswer: -2\/91055825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 787.136 and 4.\nAnswer: 3148.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 9*k**2 - 9*k - 4. Calculate i(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -134*s**3 + s**2 + s. Let r be q(-1). Suppose 2*p = 3*i - 8, i + i = -p - 4. What is the common denominator of (-1)\/(-520)*r + 0 - i and -13\/16?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4763 + -0.8763. What is the nearest to -2\/5 in -1, x, 3\/5, 28?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.238 - 0.162. What is the second biggest value in y, 5, 16, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**3*r**(2\/9)*(r\/(((r\/((r\/(r*r**(-3))*r)\/r))\/r*r*r*r)\/r*r))\/r**(-1\/7))**46 assuming r is positive.\nAnswer: r**(-1840\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -7*g + 6. Let u(f) = 25*f**4 + 10*f**2 + 5. Let v(t) = t**4 + t**2 - 1. Let n(l) = g*u(l) - 10*v(l). Differentiate n(r) with respect to r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31581644.\nAnswer: 2, 41, 192571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222001*u**3 - 2653*u**2 + 68*u wrt u?\nAnswer: 1332006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 76e - -ae?\nAnswer: 81c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-six fifths of a microgram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/(-28) + (-6)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Let g(l) = 12*l**2 - 3*l. Let d(t) = 3*f(t) - g(t). What is d(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14958 - -1.\nAnswer: 14959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/4 - (-3)\/(-6). Suppose -t + 17 = 4*x, n*x = 3*t - 0*t. What is the derivative of 5 - s**x - 7 + 4 wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/120 + h**5\/60 - h**4\/24 - h**3\/6 - 4*h**2. Factor a(k).\nAnswer: (k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1, 3, 0.2, -9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186444 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4176825, -4176824, -4176823, -4176822?\nAnswer: -4176821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -104189894*o**3 - 7*o**2 - 137974*o - 4 wrt o?\nAnswer: -625139364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1952)\/(-112) + (-9)\/84*4. Solve 5*a - 19*z + d*z = 12, 0 = -a - 2*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -43267 (b) 0.5 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/11 and (-2)\/(-7) + 164\/1190?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 4:21 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1201635 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308978845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b + 153965?\nAnswer: 153993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31751, 63487, 95223, 126959?\nAnswer: 158695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 3.04. Let f = 1.92 + 0.08. Let p = f - d. Which is greater: 0.3 or p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 804, 1626, 2474, 3360, 4296, 5294, 6366?\nAnswer: 7524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22155249 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**8\/23520 + n**7\/4410 - n**6\/2520 - n**4\/12 + 3*n. Let i(w) be the third derivative of u(w). Find h, given that i(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7932 - 7927. Solve y = -0 - c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*1\/((-105)\/(-10)))\/((-130)\/7)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 9*t - 5. Let x(v) = 2*v**2 - 1. Let h be x(1). Let j be (3 - (-1)\/h)\/1. What is the remainder when i(j) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**5\/20 - a**4\/6 + 3*a**2\/2 + 416*a + 3. Let l(z) = -5*z**3 + 11*z**2 - 17. Let y = 12 - 18. Calculate y*l(b) - 34*u(b).\nAnswer: -4*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 times 827.368?\nAnswer: 1985.6832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 43 divided by -48\nAnswer: -43\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 127? (a) -13 (b) 1\/5 (c) 2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxix. Give prob of picking 3 x.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/15 of a minute?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15460, 16042, 16622, 17200, 17776, 18350, 18922?\n\"Answer: -d**2 + 585*d + 14876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1342 = 2*i, 4*z - 1370 = 3*z + 5*i. Suppose z = 5*v + t - 473, -v = -2*t - 358. What is the highest common divisor of 84 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**4\/4 + 9*p**2 + 3*p - 56. Let c(a) = -6 + 6 + 1. Calculate -18*c(g) + h(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 + 20 - 5 + 80)*(-9*m**2 - 10 + 10).\nAnswer: -1719*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*n - 6*n - 363 = 0, -3*b = 3*n + 360. Is -123 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 48149*l**2 + 7*l - 6. Let v = 6 + -15. Let m be p(v). Suppose -3*j + 3303733 = 2*t - 8396267, j - 4*t = m. Round j to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**4 + 5*s**4 - 6*s**4 - s**2 + 0*s**4 + 2*s**3 in the form a*s**3 + o*s**2 + z*s + h + k*s**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 172?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6918*l = -6919*l + n - 3, 4*n = 2*l + 16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-6))\/(6\/(-9)). Let f be (-3)\/(0 + 0 - r). Suppose v = -4*w - 18, 2*v + 2*w + 3 = -3. Put 3, v, f in increasing order.\nAnswer: f, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-4)*-28 + -2. Suppose -2*w + t = w. Calculate the highest common factor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 6*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 21210660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-176)\/144*(-162)\/(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**2 - 7*j**2 - 5*j**2 + 12*j + 6 + 5*j**2. Let z = 801 + -813. What is u(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -19. Suppose 4*y - s - 20 = -5*s, 0 = 3*y - x*s - 3. Solve -y*l = 6, 9 = r - 2*r - 4*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78481, -156723, -234965, -313207, -391449, -469691?\n\"Answer: -78242*u - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-3*o + o + 3*o) - 2*o + 5*o - 2*o + 3*o + 4*o - o + 1 - 1 + 3*o + 1 in the form t + f*o and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12.8429 - 0.1571. What is the closest to 2\/7 in 0.5, 7, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72129 - 1486?\nAnswer: 70643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.8 - -3. Put a, -4, 0.5, 1\/8 in increasing order.\nAnswer: -4, 1\/8, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 523 = -99. Let j(t) = -t**2 - 14*t + 45. Let p be j(-15). Does 23 divide ((-3)\/(p\/28))\/(r\/4240)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v = 46*v + 132 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27*((-7)\/(-21) - 0\/2). Suppose r = 5*q - k, -6*r + 3*r = 3*q - 27. Let p = 43 - 13. What is the highest common divisor of r and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -545436 divided by 724.\nAnswer: -136359\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/5 - (0 + 1). Suppose 2*r - 6*z + 152 = -5*z, k*r + 304 = 3*z. Let t = r + 81. Let j(m) = -m**2 + m + 5. Calculate j(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from {v: 3, o: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 3. Let m be r(0). Let w be (-20)\/12*-1*m. Let k = w - 2. Let g(f) = f**2 - 5*f - 1. Calculate g(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/20)\/(414\/1104))\/(46\/30)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 4*d + 1 = -1, -2 = 3*k - 2*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 1\/12 (b) 1 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 22200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 8.05?\nAnswer: 13.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.69, 2\/3, 1\/5, -737, -0.03, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 757 divided by -60.\nAnswer: -757\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u\/u**(-1\/3))\/u)**12*(u\/(u*u*u**0\/u))**(1\/19) assuming u is positive.\nAnswer: u**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 12 = 2*d + d, 2*c - 12 = 3*d. Let a(n) = 22*n**2 - 2*n - 1. Let v be a(-1). Suppose -v*y - 52 = -19*y. Sort d, y, 2.\nAnswer: y, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from lylllyaly.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/5010 - (-2 + 2). Let b = q - -82673\/10020. Calculate the common denominator of b and 4\/18 - 2126\/252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 43*c - 54. Let i be f(3). Calculate the greatest common divisor of 90 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 2, -308, 293, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 2*g + 138 = 0, 3*g - 21*g = -4*l - 16*g - 78 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1089 by 99.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 212443423?\nAnswer: -212443440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 284 - 287. Sort -4, p, -1, -10.\nAnswer: -10, -4, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292775?\nAnswer: 5, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, w: 6}. What is prob of sequence sss?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - (-13)\/(-2))\/(-1). Let q(y) be the first derivative of b*y**2 - 2 + 0*y**3 + 0*y + 2\/5*y**5 + 0*y**4. What is the second derivative of q(m) wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2. Let u be z(0). Let v(q) = -q**2 + 8*q - 7. Let s be v(6). Suppose -2*w = -3 - s. Solve -w*k = 8 - u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 6*r**2 + 6*r - 5. Let w be b(-7). Let f = w - 0. Let q be 1\/(-22) - (-777)\/(-814). Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + z**2 + z + 2. Let t be h(0). Suppose -4*l = -4*x - l, -2*x + t*l = 2. Suppose -b - x*b + 20 = 0. Solve 0 = -b*s - 25, -3*d - s + 4 = -6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 234 - 121 = -5*z, z = -a + 75. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 + 81. Suppose -22 = -3*y + 4*r + 10, 0 = -g*y + r + 13. Solve 5*m - 10 = 4*p, -m = y*m + 5*p + 35 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*l - 2*l. Suppose p - 3*p + l = 0. Let w(j) = j**3 - 7*j**2 + 6*j + 6. Does 6 divide w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + j)*(-2*j + 5*j - 4*j) + 3*j**2 + j - j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1.185\nAnswer: 3.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 5, -796, -5\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19444126 - 5?\nAnswer: 19444121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.03 + -0.061?\nAnswer: 35.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -27. Which is the closest to 0.1? (a) k (b) 0.1 (c) -5 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 62. Let o be n(32). Suppose o = -2*p, j - 8 = -5*p + 2. Let f be 1\/2*(-60)\/(-2). Calculate the greatest common divisor of j and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/206 and -91\/1648.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92794802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-5))\/((-6)\/(-15)). Suppose 15*u = 10*u. Solve q*i + 0*i - 36 = u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-45)\/6)\/5*-56. Let p = u - 20. Suppose -2*c = 2*l - p, -5*l + c + 168 = 2*c. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 78?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-2) + (-63)\/7. Put 1, -4, z in increasing order.\nAnswer: -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 15*u - 59. Give w(-10).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -76 - 3 - (-52 - -56)) + -6.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-1)*(-3)\/9. Factor -7*j - 3*j**t + j + 0*j + j**2 - 4.\nAnswer: -2*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - a + 15 = 0, -2*f = -5*a + 137 - 98 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*-22716.\nAnswer: 840492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.58715 to 1 decimal place.\nAnswer: 55.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4 = -a, -303*f = 2*a - 307*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -539 - -1262. Let h = -1305 + n. Is 2\/7 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/391, -0.4, -3\/5, -1\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**7\/30 - h**3 + 21*h**2\/2 - 13*h. Let l(s) be the first derivative of g(s). Differentiate l(a) wrt a.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 62 = -3*x - 65, 3*x = -2*k + 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -1 + -2 + 6. Let b = w + -4. What is the units digit of (2 - b - 1)*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -14*c**2 - 8*c**2 + 10*c**2. Let b(v) = 3*v**2. Calculate d(b(r)).\nAnswer: -108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -609765 smaller than -4268365\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 85 = -l + 29, -73 = -3*d + 4*l. What is the highest common divisor of 575 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let k be 3*-4*(-1)\/3. Let n be i(k). Calculate the smallest common multiple of ((-6)\/(-12))\/((-1)\/n) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - r = -2*r - 1, -2*r = -5*q + 13. Let i be (-1)\/(-3 - (-20)\/6). Let d = -1 - i. What is the remainder when d is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*a**2*o**5 + 71*a**2*o**4 - 93*a**2*o + 14*a*o**2 wrt o?\nAnswer: 2460*a**2*o**2 + 1704*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 160155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let k = 1 + z. Let v = -4 + 7. Solve 0 = -v*j - 5*c + 17, 0 = j + k*j - 2*c - 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -369 and 0.0339?\nAnswer: -12.5091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 129308850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3597043?\nAnswer: 3597043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**3 - 75*l**2 - 103*l + 1774955.\nAnswer: 15*l**2 - 150*l - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p. Let i(o) be the third derivative of o**5\/60 + 53*o**2. Calculate d(i(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -370000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/18*-7 - (-4)\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1598.4012 months to centuries.\nAnswer: 1.332001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 2, a: 2, j: 2, w: 1}. What is prob of sequence qqa?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 9:23 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*m - m + 37*m)*(-5*m + 5*m - 4*m)*(-4*m - 2*m + 2*m)*(2*m + 1 - 1) to the form w*m**3 + f*m**4 + a*m + d*m**2 + y and give f.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -3 + 2 + 0. Let b = 139 - 73. Let u = b - 129\/2. What is the closest to t in 0, 2\/13, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3432 and 3086996.\nAnswer: 240785688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*z - 9240 = 510*z - 78481 - 29291 for z.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-10) + (-72)\/(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40634 less than -40311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 794 and 10591166.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 23*j**3 - 20*j**2 - 42*j + 242. What are the prime factors of o(11)?\nAnswer: 11, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 8:05 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/9 - 44*p\/9 - 32\/3 = 0. Calculate p.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1319 or -1441?\nAnswer: -1441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -53735 divided by -10747?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 7 = 1. What is the lowest common multiple of 10 and (-4)\/4 - (a - (-63)\/(-3))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2888132915?\nAnswer: 5, 16619, 34757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + (-105)\/(-28). Solve 0 = 4*h - x - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 4, i: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (19 + -7 - 10) + (-1 - -1). Solve 5*n = 4*j + 12, -b*j + 2*n - 3 = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -j + 2184. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543314 is divided by 1110?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -3 + (0 - 0). Let x(s) = s. Let b(v) = -v + 6. Let o(y) = p*b(y) + 6*x(y). What is the first derivative of o(h) wrt h?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36839942?\nAnswer: 2, 2663, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prkk when four letters picked without replacement from {r: 8, p: 5, k: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (1 - (-19)\/(-6)). Let k = 289.1 - 289. Which is the nearest to k? (a) -0.2 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n - 20. Let v be x(10). What is the highest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 9:07 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3189655 to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - -46 - (27 - -20).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 4*u**2 - 14*u - 8 = 0. What is u?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 59 - 6*f)*(-5*f + 4*f + 3*f)*(-5 + 0 + 1).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 31 + 5)*(16*b**3 - b**3 - 4*b**3)*(4*b - 3*b - 3*b) in the form d*b**4 + w*b + h*b**2 + f + g*b**3 and give d.\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-8)*6\/(-30).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -w + 4*p, 6*w + 2*p = 5*w + 155. Suppose -527*b = -524*b + 24, -62 = -2*i - 5*b. Calculate the remainder when w is divided by i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839.7936 minutes in microseconds?\nAnswer: 50387616000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*n + 3*s + 710, 3*n = -5*s - 543. Let q be 0 + -178 + n\/(-44). Are -175 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -291 - -298 - (0 + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-6)\/(8\/4)). Which is the nearest to -2? (a) u (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x - 18. Give o(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0116 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -48\/101, 0.4, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 q when three letters picked without replacement from {q: 4, m: 1, b: 2, g: 2, i: 3, w: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 14*y**2 + y - 1. Let u(l) = -6*l**3 - 53*l**2 - 11*l - 5. Let m(b) = 15*k(b) - 3*u(b). What is o in m(o) = 0?\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(2\/(-38) - 0). Suppose 0 = -k + 2*l - 30, 3*k + 6*l + 70 = 8*l. Is k less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 37*h - 5 - 39*h)*((-5*h + 0*h - 2*h)*(-4*h + 2*h + 0*h) + (0 + 0 - 1)*(1 - 1 + h**2) - h**2 + h**2 - h**2).\nAnswer: -24*h**3 + 564*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 16, -6, -1474, 1, 0 in ascending order.\nAnswer: -1474, -6, -3, 0, 1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -178*f**2 - 174*f**2 + 354*f**2 + f - f. Let j(m) = 424*m. What is j(u(r))?\nAnswer: 848*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50 - 40 + 5*r**2 - 12*r**3 + 90 wrt r.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.189 and -0.01.\nAnswer: 0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -361\nAnswer: 5\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -291 - -434. Let d = 155 - p. Calculate the remainder when 117 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 34 = 2*v, 15*z - v + 42 = 19*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -49*d**6\/660 - 161*d**5\/165 - 43*d**4\/33 - 8*d**3\/11 - 6*d**2 - 8. Factor w(r).\nAnswer: -2*(r + 6)*(7*r + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*n**5 - 118*n?\nAnswer: -580*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i = 3*i + 1981 - 499 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 3:41 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*4 + (-636)\/(-54) + -10?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173702 or -173720?\nAnswer: -173720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -35\/22339 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 24 = -n. Let l be 18\/8*n\/(-3). Let k be (16\/6)\/(l\/(-27)). Calculate the highest common factor of k and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7671 (base 11) to base 10\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-6)\/26) + -1. Suppose -m = 0, -3*x - 3*m + m = -o. Let q be 132\/30 + x\/(-10). Solve -c + 4 + 8 = -q*t, -40 = 5*c + 5*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689545155?\nAnswer: 5, 23, 911, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 54*i - 105. Give o(-52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470138 is divided by 15671.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 - 5*f**2 + 17. What is the remainder when l(-5) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263783184 divided by 8?\nAnswer: 157972898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 937525270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/2 - 0)\/(11\/2090)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 12 - (-4 + 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 18*p**2 + p - 15. Let r be j(18). Solve 3*f + r*t = 4*t, -4*t - 12 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(1 + (-3)\/(-5)). Let a(k) = k**3 + k - 4. Let q be a(0). Let z = q - m. What is the third smallest value in -0.1, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(280) + sqrt(280)*-2*6)\/sqrt(8))\/(3*sqrt(245)*-2 - sqrt(245)).\nAnswer: 33*sqrt(7)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 10. Let d be (2\/(-8))\/((-1)\/2). Let m be 68\/16*-1 + 4. Which is the nearest to d? (a) p (b) -3\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0843 and 133572098402.\nAnswer: 133572098402.0843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -10*o**3 - o**2 + 8*o - 9. Let d be z(3). Let v = d + 267. Solve -i - 3 = -2*h - 7, -v*i - 16 = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -23?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -156, 2, -2785, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 11*o - 122. Suppose -2*s = o*s. Suppose d + s*m - 99 = 3*m, -3*d - 5*m = -227. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**2 + 2*i + 63. Determine t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24772 - 1362521\/55. Calculate the common denominator of n and -63\/670.\nAnswer: 7370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 9:51 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-57)\/(-6) + 3. Find f, given that -i*f + 6 + 3\/2*f**3 + 3*f**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 6*w + 2*w)*(-5 + 3 + 4)*(0 - 5 + 1)*(41 - 41 - 3*w**3)*(-2 + 4 + 1) in the form n*w**3 + s + y*w**4 + u*w + d*w**2 and give y.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2119898 and 13\/35774.\nAnswer: 65716838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**3\/8 + 69*p**2\/4 - 30*p - 132 = 0.\nAnswer: -2, 4, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 28 and -851442?\nAnswer: 851470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60, 417, 1382, 3261, 6360, 10985, 17442?\n\"Answer: 51*p**3 - 2*p**2 + 6*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/7, -2\/65, -1407826?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -168179*h**2 - 3418815 wrt h.\nAnswer: -336358*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/13 in -4, 11, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.86 + -0.6. Let i = 0.16 - t. Let z be (-12)\/54*(-5)\/2. Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/u*u\/u**(2\/11)*(u**(-1)*u)\/(u*u**(-3)))\/((u**(1\/12)\/u**(-3))\/((u\/((u**4*u)\/u))\/u*u**(-2\/11))) assuming u is positive.\nAnswer: u**(-1511\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -32*a + 2. Calculate g(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -1\/3*b**4 + 8\/15*b**3 + 0*b + 1\/840*b**8 + 7\/75*b**5 + 35*b**2 - 4\/525*b**7 + 0 + 1\/300*b**6. Solve j(a) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**4\/12 + 5*p**3\/6 - 2*p**2 - 2*p. Let z be r(3). Suppose 0*a = z*a - 162. What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*y = 3, -4*k = -31*y + 27*y + 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**10)**(1\/27)*i**(-8)*i**18 assuming i is positive.\nAnswer: i**(281\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/5 + 2816*y**3\/5 - 982746*y**2\/5 - 5975564*y\/5 - 7997584\/5 = 0.\nAnswer: -4, -2, 707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**5\/60 - 1448*m**2. Let w(a) = 307*a**2. Give w(c(v)).\nAnswer: 307*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 1875.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1305)\/(-29)*((-30)\/(-27))\/5)\/((-42)\/(-18))?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -536 * -0.4\nAnswer: 214.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 1 - 3 + 0 + 6.\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59730 divided by 9955.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 190\/9?\nAnswer: 190\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -15, -63, -163, -333?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 3*u + 2*u)*(-3 + 3 + u)*(2 + 4 + 4)*(33*u + 26*u - 3*u + 2*u**3).\nAnswer: 40*u**5 + 1120*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -4, 0, 13450.\nAnswer: -4, 0, 1, 2, 13450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 499007401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20f1 (base 16) in base 12?\nAnswer: -4a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 136, -2.40193, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 3*m**2 - 13*m - 10. Let a(x) = -x**3 - 4*x**2 - 9*x - 9. Let y(w) = 3*a(w) - 2*f(w). Determine y(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -26. Suppose s - t = 6. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 440 and 18383760.\nAnswer: 202221360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 590*p + 7268. Calculate x(-12).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 17. Suppose -3*z + 2*k + 12 = -2*z, 5*z + 2*k = w. Solve -30 = -5*t - z*i, 3*t - i = t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + -4 + 2 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 4*h**2 + 5*h + 4. Give j(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, g: 4, o: 2, u: 7}. Give prob of sequence ucg.\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dikddtbtttwdditd. What is prob of picking 1 i and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 1 = -13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 528 = 4*a. Suppose r - 4*r + a = 4*d, -4*d + 16 = 0. Let k = r - -64. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/31, 798, -29?\nAnswer: 798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in 35, -3\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4385414 (base 9) to base 11.\nAnswer: -1371702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72, -139, -204, -267?\n\"Answer: j**2 - 70*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 97, 8 in decreasing order.\nAnswer: 97, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -81*b**3 - b**2 - b - 1. Suppose -i + 2 = c + 3, -5*i = c + 5. Let d be o(i). Calculate the greatest common divisor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79.7320006644 and 5.\nAnswer: 84.7320006644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*sqrt(49)*-2)\/(sqrt(7) + -3*sqrt(343))*-3.\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 9*u + 155 - 1\/3*u**3 - 5\/2*u**2. What is m(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -310 + 319. Which is greater: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/12*(-2)\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 1:48 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let o(v) = -4*v + 8. Let n(j) = o(j) - 5*u(j). Let h(d) = d + 8. Let m(i) = -3*h(i) + 4*n(i). Calculate m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 - 2*f. Let w(k) = -k**2 - 8*k + 7. Let j be w(1). Let c(d) = -24*d**2 - 11*d. What is j*c(q) + 11*g(q)?\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 + 3*t**3 - 4*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 14257 (b) -6 (c) -0.31 (d) 3\/2 (e) -2\/9 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10668921, -10668976, -10669067, -10669194, -10669357?\n\"Answer: -18*p**2 - p - 10668902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 234*h + 2. Let t(d) = 5*d + 22. Let y(g) = 110*g + 495. Let s(v) = 45*t(v) - 2*y(v). Determine s(n(u)).\nAnswer: 1170*u + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -19*w**3 - w**2 - 2. Calculate g(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366170925?\nAnswer: 3, 5, 23, 79, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = 0, 36393 = 5*r + 2*n - 151440. Suppose 0 = -2*m - 4*x + 37582, -7*m + 5*m - x + r = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 11*j + 24912 = 0. Calculate the highest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2. Let c(s) = -25*s**2 + 5*s - 5. Let m be 1*((-4)\/2 + -3). Let p(t) = -12*t**2 + 2*t - 2. Let l(j) = m*p(j) + 2*c(j). Give l(d(k)).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 2. Let o be d(6). Let f(k) = k - 1. Let v(w) = -5*w + 9. Let z(r) = -6*f(r) - v(r). Calculate z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(-3*q + 4*q + 0*q)*(-5*q + 0*q + q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73218 + 116*t**2 - 73218 - 5*t to the form s*t + b + f*t**2 and give f.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 870 and 19710.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1888970 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195817 <= 2195807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4*z + 0)*(-4*z + 4*z + 9345*z**3 - 5977*z**3) to the form s*z**2 + y*z**4 + v*z + w + b*z**3 and give y.\nAnswer: -13472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22 - (-1)\/((-1)\/1). Let c(t) = 47*t**2 - 42*t + 193. Let l be c(4). Suppose 798 - l = j. Calculate the highest common divisor of d and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (17 - 19) + 14 - (0 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 204509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -10259, 0.9, 5, -1, 0.5, -3\/7 in increasing order.\nAnswer: -10259, -1, -3\/7, 0.5, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4189*l + 16772. Calculate x(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 136\/7? (a) 2 (b) -164 (c) -2\/13 (d) 1 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 + 133. Let q be 5 + (0 - n\/(-10)). Let o = q - 18913\/580. Is o <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12936 and 924.\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -489.2 + 494.2. What is the second smallest value in 116, n, 4, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67.99999884 - -68. What is t rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 205048.\nAnswer: 8406968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 + 161 = -10*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 + 75162*v\/5 + 470777187\/5.\nAnswer: 3*(v + 12527)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3729.5 rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/225335 and 101\/10604.\nAnswer: 901340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Let n(r) = -163*r. Let v(o) = 2*o + 3. Let c(p) = 87*p + 9. Let x(a) = -c(a) + 3*v(a). Let s(k) = -6*n(k) + 13*x(k). What is z(s(t))?\nAnswer: -150*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6267 (b) 4 (c) -0.27 (d) 1 (e) -3\/5 (f) -0.3 (g) -2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**3 - 3*f - 2. Let w(d) = -2*d**2 - 30*d - 18. Let y be w(-14). Let o(g) = -y*g + 14*g + 1 + 5*g**3 + 1. Determine -5*o(r) - 6*q(r).\nAnswer: -r**3 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = -90. Let t(p) be the first derivative of 7*p**4 - k + 13 - 27 + 17*p**2. What is the second derivative of t(y) wrt y?\nAnswer: 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-8)\/6)\/(1\/(-3)*2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337, -119, 247, 761, 1423, 2233?\nAnswer: 3191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 34 = 2*x, -3*x - 1322*w - 24 = -1325*w for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -17*i + 12*i. Solve 3\/4*f**3 + 0 - 9\/4*f**4 - f + i*f**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2411029955 and -0.3262.\nAnswer: 2411029954.6738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + u**2 + 19 + (u + 2*u + u)*(-u + u - u))*(21*u**2 - 11*u**2 - 28*u**2).\nAnswer: 54*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhlzjky. What is prob of picking 1 h and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p - 26*p = -63*p + 153 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0*i - 4*i)*(-2*i**2 + 2 - 2) + i**3 + 0*i**3 - 2*i**3 - i**3 - i + i**3 - 2*i**3 + 2*i**3 + 0*i**3 + 0*i**3.\nAnswer: 3*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - 0.49. Let p = -0.597 - v. Round p to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {r: 1, k: 2, n: 1, z: 2, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*r - 3*t - 39, t = 3*r - 62. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 466164 > 466167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x. Let j(y) be the third derivative of y**7\/126 + y**4\/8 + 36*y**2. Let k(m) be the second derivative of j(m). What is k(i(t))?\nAnswer: 320*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 21892627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-256)\/8*(-10)\/40?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcjl when four letters picked without replacement from caajcclcjcll?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147624*n**2*p**2 + 240*n**2*p - 78*p + 2 wrt p?\nAnswer: -295248*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 661845383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, k: 1, e: 3}. Give prob of sequence eee.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**9\/7560 + a**6\/720 - a**4\/12 + 3*a. Let j(p) be the third derivative of d(p). Find the second derivative of j(w) wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4007085835 to the power of 1\/2, to the nearest integer?\nAnswer: 63302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1 + (-1 - 4 + 3)*(-2 + 5 - 2))*(225*n**2 - 126*n**2 - 127*n**2).\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -75*a**2 + 1. Let t be d(-1). Let p = 151 - t. Let n = p + -158. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (11 - (2 + -6 + 9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -59042898 divided by -19680966?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose -4*c + l = y*l + 12, -l - 8 = 3*c. Let p = -1 + c. Put p, 1, -5 in increasing order.\nAnswer: -5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2*u**5\/65 + 5*u**4\/13 - 14*u**3\/13 - 36*u**2\/13 + 216*u\/13 - 387. Solve p(r) = 0.\nAnswer: -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/23 - 262\/253. Find the common denominator of (-143)\/(-15) - (-4 - (-115)\/30) and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27738664 to the power of 1\/2, to the nearest integer?\nAnswer: 5267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/2)\/((w\/(w\/w**(-1\/5))*w)\/w)*w**(-2\/21)*w**(-6) assuming w is positive.\nAnswer: w**(-1133\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111203 (base 4) in base 9?\nAnswer: 1802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 + 72. Suppose 0 = 2*j - 15 - y. Let u be (-4)\/18 + 76\/j. Solve 2*s - u = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1226020*b**2*n + b**2*q - 74246881*b*n*q - 24*b*n wrt q?\nAnswer: b**2 - 74246881*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15289920 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 + i + 1. Let n = 286 + -285. Let w(m) = 91*m**3 + 78*m**2 + 78*m + 78. Determine n*w(z) - 78*h(z).\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 8 = -3*c, 71 - 21 = 5*c + 4*n. Suppose -i - c = -3*i. Suppose -l - i*l = -32. Solve 3*j = 7*j - l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - m**3 - m**3)*(-3*m**2 + 3*m**2 + 10*m**2 + (0 + 0 - 1)*(-2 - m**2 + 2) - 16 + 16 - 8*m**2).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o = 4*z + 115*o + 11, -12 = -4*o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.032*0.3258\nAnswer: 0.0104256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 247551650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*j + 3*j. Let s(d) = 4*d**3 + d**2 + d - 2. Let u be s(j). Calculate the common denominator of 40\/10 - u\/48 and 39\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/106*(11 - (-402)\/(-36))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -3*a - 36. What is the units digit of a\/8 + (-8)\/(-32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4\/5 + 702*l**3\/5 + 7248*l**2\/5 + 17568*l\/5 = 0 for l.\nAnswer: -6, -4, 0, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**2. Let d(n) = -957 + 24*n - 955 + 1912 - 65*n. What is d(v(o))?\nAnswer: 205*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.182555 rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b - 11*b**3 + b**3 + 11*b.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/180 - ((-14)\/(-21) - 1).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1173 or -1045?\nAnswer: -1045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25746?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 2*f. Sort 1, 5, f.\nAnswer: 1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((4\/(-8))\/(-6 + 1)). Suppose 3*l - 2*t + 23 = 3*t, -2*t = -2*l - x. Let a = 7 - 4. Is l <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1056 and 3.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 7*y = -55. Suppose 4*t = 0, -2*q - y*t + 1428 = -850. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 5:07 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 852299868 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 6*c**6\/5 - 3*c**5\/5 - 23*c**4\/3 - 26*c**3\/3 - 4*c**2 + 42*c. Determine x, given that h(x) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 8 = 0, -g = -m - 0*m + 1. Let f(t) = -3*t - 1. Let w be f(-1). Sort w, g, -1.\nAnswer: g, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 3*h**2 - 16*h - 25. Let k be w(-5). Suppose -4*j + 5*g - 14 = -j, 0 = -5*j - g + 14. Solve 4*i + 5 = -j*v - k, -v - 7 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -9. Let z be -6 + (-6)\/(-3) + t. Let o(k) be the second derivative of -k**3\/6 - 5*k**2\/2 + 38*k + 1. What is o(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l - 1769. Let x(q) = -4*q - 1770. Determine 3*p(b) - 4*x(b).\nAnswer: -2*b + 1773","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + c - 28 = 4*c, 3*t + 5*c = 50. Let n = -7 + t. Suppose -162 = n*m - 501. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 3. Let q be m(-2). Suppose -o + 3*f = 0, 2*o = -o + 2*f + 7. Let g = o + -2. Is g at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - -639. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-2 + (5 - (3 - 3))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*u**2 + 9*u**3 - 31*u**2)*(-u + u + 2*u).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:11 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3134*j**5 + 5127*j wrt j?\nAnswer: 62680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8189820.\nAnswer: 2, 3, 5, 173, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbdbddbddbdbdbbd. Give prob of picking 2 b.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 - 48*v + 4. Let d(w) = 12*w**2 - 96*w + 9. Let j(p) = -4*d(p) + 9*f(p). Factor j(h).\nAnswer: -3*h*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**(-4))\/f*f*f)*f**(-1\/7)\/f)\/(f**(-2\/3))**(-2\/11))\/((f**(2\/5))**(5\/14))**29 assuming f is positive.\nAnswer: f**(-2404\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 2*b**2 - b + 21. Let p(t) = t**2 + 9*t + 12. What is the smallest common multiple of k(-4) and p(-10)?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - 8\/2) + 2. Let h = z - -7. Let f = -3 + 2.9. Is h greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 146 = -5*z, -3*j - 5*z = 2*j + 230. Let t = -40 - j. Suppose -v - 186 = -2*p + 36, t = -v. Is 31 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-12)*159)\/(2\/(-4)). Is (4\/14 - f\/(-14))*-3214 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 1, u: 1, a: 1, m: 2, z: 1}. Give prob of picking 1 z, 1 g, and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3949197?\nAnswer: 3, 7, 89, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -5*d + 132 - 147, 4*j = 2*d + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -950, -951, -952?\nAnswer: -953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (4 + -2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiiq when four letters picked without replacement from iqqiqiqqqqqqqqq?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25373593 rounded to 4 dps?\nAnswer: 0.2537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1720314?\nAnswer: 2, 3, 31, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 430*d**2 + 3*d - 1. Let c(f) = 861*f**2 + 7*f - 2. Calculate 6*c(n) - 14*z(n).\nAnswer: -854*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5 + 5*s**2 - s - s - 4*s**2 - 5*s. Let n = -13 - -21. Let r be p(n). Solve -3*h + 5 = l, r*l + 2*h - 4 = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1096 (b) -1\/4 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**4 - 132*i**2 + 1560 with respect to i.\nAnswer: -8*i**3 - 264*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - j + p + 3, -4*j + p + 3 = 0. Suppose j = -0*l - 3*l. Suppose 4 = s - l*s. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39626 is divided by 35015?\nAnswer: 4611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 975 + -93. Suppose q + n - 2955 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -78*w**2*y**2 + 17*w**2*y + 38*w**2 - 6*w*y**2 + 2*w - y + 10994 wrt w.\nAnswer: -156*y**2 + 34*y + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -35 - 25 - 34 - 29 + 124. Let m(w) = -4*w**2 + w + 4. Give -4*a(n) + m(n).\nAnswer: -4*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (828\/(-92))\/(27\/(-93))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o - 61*o = 50 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65541 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3\/3 - 661565*q**2\/3 + 36472243841*q + 36472464363 = 0.\nAnswer: -1, 330783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 46*k + 4621. What is i(-98)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 59406462?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuuuxuuxxxu. Give prob of picking 2 x and 1 u.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w + 4. Let b be a(-4). Is 6 a factor of (-8)\/b*1*40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 368*d - 1471. Let c be p(4). Let x(i) = -8*i - 2. Let h(a) = -a. Give c*x(y) - 5*h(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2400*y**3 + 3*y**2 - 84*y - 86. Let f be m(-1). What is the highest common divisor of 245 and f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 41428.32 milligrams?\nAnswer: 41428320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 9:43 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6043512 by -372.\nAnswer: 16246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/6 + l**3\/6 + l**2. Let v(u) = -20*u + 5. Let q(f) = -11*m(f) + 2*v(f). Suppose -3*h = -2*h - 1. What is q(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.32881, -0.4, -0.9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11527999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7056599 by 29.\nAnswer: -243331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -5, -10, 19, -14, 5.\nAnswer: -14, -10, -5, 5, 19, 63","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 5*g**2 - 2*g**2 - 2*g. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**4*f))\/f**(-2\/7))\/(f**(-3)\/(f*f**(-6\/5)\/f*f))*(f**(-1))**11*(f**(-1\/3))**(-24) assuming f is positive.\nAnswer: f**(-137\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -70, 27, 162, 317, 474, 615, 722?\n\"Answer: -3*a**3 + 37*a**2 + 7*a - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**2 - 3*u + 4. Let x(m) = -m**2 - m - 1. Let l = 9684 - 9685. Give l*n(s) - 4*x(s).\nAnswer: -2*s**2 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673) + 3*(sqrt(2673) + (sqrt(2673) - sqrt(2673)*-2)))\/((sqrt(42)\/sqrt(2))\/sqrt(7) + (-1*sqrt(243) - sqrt(3)) + sqrt(3)).\nAnswer: -117*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -261*d**5 - 380*d - 12561*d**2 - 318*d + 12559*d**2 + d**4 - 6*d**4 wrt d?\nAnswer: -15660*d**2 - 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -3 - (5 + -16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 2\/((-4)\/6). Let u be 4\/l*(-9)\/2. Suppose -x + 44 = u*x. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -345255 > -345256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n + 5. Let o(q) = 5*q + 2. Let u(y) = -5*o(y) + 2*r(y). Let k(i) = 7*i. What is k(u(g))?\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*3\/27*(-5)\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9 - 332\/(-36)*1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.77109ng in tonnes?\nAnswer: 0.00000000000000677109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 30 = 2*x. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -1, 2179785 in descending order.\nAnswer: 2179785, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1161*f - 37146. Give n(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12 and 10146624230?\nAnswer: 10146624242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:54 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((3 - 503)*(-40)\/(-32))\/((-2)\/4). What is the greatest common divisor of o and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32224 - 4?\nAnswer: -32231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:20 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -221?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 5*h + 3*k, -k - 26 = -h + 2*k. Suppose 4*o + h = 5*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 3. Let b(m) = -m**3 - 7*m**2 - 3*m - 5. Let v be b(-7). Let u be 2\/4 - 8\/v. Suppose -2*f + 10 = 4*r, u*r = r + f - 5. Give l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -98375, -8048, 5 in descending order.\nAnswer: 5, -8048, -98375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 1. Let h(m) = 10*m + 21. Let j(k) = -5*b(k) - h(k). Let o be j(-4). Solve -5*l = -3*q - 21, 0 = l + o*l - 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-17 - (55 - 35)) + 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. Let p = -4.096 + i. What is p rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 47*r - 37*r. Let z be (-2)\/(-3)*(-90)\/(-92). Which is greater: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 6\/13, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose 0 - 74 = -n*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(2) + -2.\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -369+-54513\nAnswer: -54882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 4 (c) 0.5 (d) 42\/55 (e) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*d - 42 = 0, -2*d = -c - 3*d - 11. Let p be (c + 4)*2\/(-5). Solve -2 - p = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 2 f, and 1 s when four letters picked without replacement from eeseefessmmssmsfem?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268864 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -3778.536.\nAnswer: -1511.4144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2150, -5710, -9270?\nAnswer: -12830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2082 is divided by 148.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-36)*(x**(3\/17)\/x)\/x)\/(x\/x**28)**(-5) assuming x is positive.\nAnswer: x**(-2938\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57168 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 107 + (-16 - (97 + -48)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 431273125\/23076 - 74757\/4. Let p = -94235\/23076 - u. What is the common denominator of p and -83\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/10 (b) 3 (c) 0.12 (d) 2 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3\/(-6))\/((-13 - -5)\/208)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940 is divided by 836?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -73 + 39 + -9 + 1 + -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2523398 is divided by 41.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(75)*6)**2 - (-5 + sqrt(75)*-1).\nAnswer: -8095 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76681980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/1342636 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2143 - -0.16.\nAnswer: -0.0543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bleylekebb. What is prob of sequence ebb?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3872520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138 + 30*g**2 - 41 - 55 - 55 to w*g**2 + m + v*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(70) - (3*sqrt(70) + sqrt(70)))*-5)\/(sqrt(490) - (sqrt(490) - (sqrt(490) + (-4*sqrt(490) - sqrt(490)) - sqrt(490))*2) - sqrt(490)).\nAnswer: -75*sqrt(7)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-3)\/(-6)*-2). Factor -16 + y + h*y**2 + 7*y - 6*y**2.\nAnswer: -(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 13*l - 15. Is 8 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 6*p**2 - 8*p - 2. Let x be v(-7). Suppose 5 = x*h - 0*h. Calculate the greatest common divisor of h and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 3. Let y(t) = -11*t + 18. Let p(c) = -y(c) + 6*z(c). Let n(v) = 10*v**2 - 1. Calculate p(n(k)).\nAnswer: 50*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -62704222\nAnswer: 12540844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 14*l**3 - 6*l**2 + 11*l - 23. Let h(b) be the first derivative of -5*b**4\/4 + 2*b**3\/3 - 2*b**2 + 8*b + 1670. Give -11*h(w) - 4*q(w).\nAnswer: -w**3 + 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 66939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 3\/398, -1 in descending order.\nAnswer: 3\/398, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0. Let n = r - 0.6. Which is the nearest to n? (a) -3 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8412836272?\nAnswer: 2, 12413, 42359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-3*r**5 + 2*r**5 - r**5) + 11*r**3 - 2142*r**4 + 2142*r**4 + 7*r**5.\nAnswer: 3*r**5 + 11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 309.6 + 49.4. Let y = -359.00149 + w. Round y to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13238 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 6. Let b(h) = h + 20. Let d(p) = 5. Let z(o) = -2*b(o) + 9*d(o). Suppose 3*g = 4*t - 21, 0 = 2*t - 3*t - g + 7. Calculate t*x(s) + 7*z(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -136202, 3, 4, 2 in ascending order.\nAnswer: -136202, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -468 + 4216\/9. Let w = -3955\/1521 - -477\/169. Which is the nearest to -2\/7? (a) 4 (b) w (c) y (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((43\/((-860)\/(-32)))\/((-3)\/15))\/((-2)\/(-3))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(-2 + (-8)\/5). Suppose -190 = q*p - 23*p. Calculate the greatest common divisor of p and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -405 + 1623\/4. Let l = -37 + 38. Suppose -6*k + l = -7*k. What is the closest to k in m, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51030 = 450*v + 210*v + 69*v for v.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from obobobo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)*1 - (-12)\/(-234). What is the nearest to 0 in 0.5, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**3*w**2 + 63874*n**2*w**2 + 63822*w**2 with respect to n.\nAnswer: -3*n**2*w**2 + 127748*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/((-16)\/(-160)). Suppose -u*c - 22 = -10*c - 4*k, -5*c + k + 7 = 0. Solve 4 = 2*g + c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 14693485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*t + 102*t = 211*t + 3*z + 14, 2*t - 16 = -3*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 30 + 102. Find the third derivative of -17*w**6 - 17*w**2 - 5 + j - 6 wrt w.\nAnswer: -2040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, -64, -816, -2156, -4282, -7392, -11684, -17356?\nAnswer: -24606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t - 127870. Let l = 7\/10475725 - 4823558052101\/188563050. Let b = t - l. Find the common denominator of 63\/10 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 - 0.3\nAnswer: -104.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*r + 2*r - 432, 0 = -5*h + 4*r + 1052. Sort -3, h, 2 in ascending order.\nAnswer: -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -a4a2?\nAnswer: -a4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 60\/(-10)*8\/(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(85) - 2*sqrt(85)))\/sqrt(5)*5*2.\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-5) - 1296\/10. Is 10 a factor of g\/(-12) + (-12)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8 - 0.2. Let u = t - -3.99989. What is u rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 5:02 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 622836 and 132.\nAnswer: 6851196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 11*q**2 + 6*q + 3. Let t be h(-7). Let y be t\/(2\/32*4). Suppose -4*z + y = 16. Calculate the highest common divisor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29264400 divided by 360\nAnswer: 81290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 7*r + 4. Let i be m(7). Solve -2*d - 2*z = -0*d, 10 = d - i*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 25 + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1165194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 2. Let n be t(3). Solve g = 2 - n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00097523783 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7aeb2 (base 16) to base 2.\nAnswer: -1111010111010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100434 + -2?\nAnswer: -100441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -21*n**3 - 7*n + 2. Let a(f) = 63*f**3 - f**2 + 18*f - 6. Give -3*a(z) - 8*o(z).\nAnswer: -21*z**3 + 3*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -20*(3 + (4 + -3)*-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + z + 7*z. Let o(x) = -3*x. Let i(g) = -g. Let f(w) = 17*i(w) - 6*o(w). Let s(q) = -12*f(q) + 2*n(q). Let a(p) = -p**2. Determine a(s(k)).\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 + -73.7. Let u = -2.3 - d. Let z = -14 - -5. Which is the third smallest value? (a) z (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w**5*w)))\/w*w)\/w**(6\/7))**(-42\/13) assuming w is positive.\nAnswer: w**(-258\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 458\/(-6) + (-4)\/(-12). Let o = m - -80. What is p in -p**3 - 33*p**o - 6*p**5 + 7*p**5 + 36*p**4 + 0*p**3 - 3*p**2 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-17))**3 assuming y is positive.\nAnswer: y**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1732*n + 29865 = 24669 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 429\/13*((-84)\/(-36))\/(-7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 27 - 17)*(-10*m + 2*m + 4 + 6*m)*(-3 + 2*m + 3).\nAnswer: -8*m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -3*f**6\/40 + f**4\/12 - f**3\/6 - 2*f**2. Let l = 16 - 15. Let x be 1*(-1 + l + (-4)\/(-4)). Determine b(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + 0.19. Let n be (2 - 0)*2\/(-4). Which is the closest to n? (a) -5 (b) 0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72b (base 12) in base 11?\nAnswer: -869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**2 + 13. Let c(r) = -2*r**2 + 3. Let t(i) = 26*c(i) - 6*x(i). Let d(u) = -2*u**2. Calculate t(d(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16404338*q**3*r + 5*q**3 - q**2 + 9990*q + 6 wrt r?\nAnswer: -16404338*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(9\/3) + 2. Let x(v) = v**3 - v**2 - 2*v**3 - v + n*v. Let o(s) = -6*s**3 - 4*s**2 - 2*s - 1. Calculate -o(c) + 4*x(c).\nAnswer: 2*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13006538*y**3 - y**2 + 91111*y - 5 wrt y?\nAnswer: -78039228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -8 + (-20 - -24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133\/1405903 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*f + 4*i, 21*f - 31*f + 80 = 4*i. Let x(d) = d**2 + 4*d + 4. Let n be x(-4). Suppose 24 + f = n*s. What is the least common multiple of s and 50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109\/159 - -1\/53. Let m = 29 - 25.02. Let t = m - -0.02. Which is the third smallest value? (a) -3\/7 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 t when three letters picked without replacement from {o: 1, t: 2, a: 1, k: 2, m: 1, e: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6.361782 micrometers?\nAnswer: 6361.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 207199631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -q - 2*l, -2*l + 34 = -3*q + 2*l. Let p = q + 31. Solve 0 = 5*d + p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*z = 118, -5*z = -2*s - 116 - 14. Let i = s - -77. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2865879925 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/39 - 654\/(-26). Suppose -4*s = 7*z - 2*z - 58, 0 = 3*z - 4*s - 22. What is the highest common factor of o and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let u be -1*1\/((-2)\/4). Suppose 4*o = 5*z + 21, 3*o + o = u*z + 18. Solve g = -o*t + 27 - 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (37*13 + 5\/(-10))\/((-20)\/(-1000))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 261\/7 - (540\/(-70) - -8). Suppose 3*s + 4*n = 23, 0*s + b = 4*s - n. Calculate the lowest common multiple of s and 112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkl when three letters picked without replacement from {l: 1, k: 17}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k - 6. Let a be j(-5). Let o be (-18)\/a - 6\/(-8). Suppose o = 4*s - 0*s - 60. List 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(r) = -477 - r + 477. Let f(w) = -6*w + 2*w + w. Determine f(c(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 1 = b - 2*k, 0 = -3*b + 5*k - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741025 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 5*h - 4. Let p be o(4). Let y(q) = q - 1. Let w(s) = 57*s + 4 - 36*s - 28*s + s**2. Let v(u) = w(u) + 6*y(u). Calculate v(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 15, 0*u - 2360 = -2*n - 2*u. What are the prime factors of n?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 46b0?\nAnswer: 46a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 15 = -4*z, 0 = -5*f + 5*z - 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48 + 1)\/(-1))\/((-1)\/(-9)). Let z = j - 301. Find the first derivative of z*v**3 + 12 - 3*v + 3*v - 139*v**3 wrt v.\nAnswer: -51*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 9 - 5. Let t(y) = 0*y + 3*y**2 - y**b + 1 + y. Is t(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-18) - (-7 + 11)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 7*t - 4 = 2*t, 4*t = 4*r - 16. Suppose -r*c + 10*c = 306. Suppose n - c = -2*n. Solve 4*p - 4*l + 7*l = -3, -l - n = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*n**4 - 1)*(-4 + 5 - 2)*(-289 + 289 - 5*n).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(-2))\/v*(v**(-1\/7)\/v)\/v)**35*(v**1*v*v*v**(3\/5)*v*v)**(-24\/7) assuming v is positive.\nAnswer: v**(-646\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzee. Give prob of picking 1 z and 2 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, n: 1, e: 3, h: 2, y: 1, k: 5}. What is prob of picking 2 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8913 = -479*c - 1146 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2246 + 2.2.\nAnswer: 1.9754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1510112 by -4604.\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 255861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40162 = 2*j - 51838. What is j rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:40 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.42 + 0.58. Let h = 1.1 - 0.1. Let u = h + f. Sort u, -3, 7 in decreasing order.\nAnswer: 7, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 2*b - 4*b)*(26*b - 41*b - 31*b)*(4*b**2 - 4*b**2 - 3*b**3) + (3*b - 2*b + 1 - 2)*(-4*b**4 + 6*b**4 - 3*b**4).\nAnswer: 137*b**5 + b**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 1914737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59371*g - y = -59374*g + 8, 3*y = g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28369 + -28367. Solve -v*s - 2*f - 12 = 0, -2*f - 21 + 25 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*-29*(-16)\/82824?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -3 + (-27 - (-14 - (-16 - -8)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/(-7*15\/(-280)). Which is the second smallest value? (a) k (b) -0.4 (c) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 13*y**2 + 865. Let o(b) = 323*b. Determine d(o(s)).\nAnswer: 1356277*s**2 + 865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, u: 2}. What is prob of picking 1 u and 3 z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + (sqrt(171)*3)**2 + sqrt(304)*5.\nAnswer: 23*sqrt(19) + 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -60020\/8399?\nAnswer: -60020\/8399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/1404 and 229\/8190.\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and ((8 - -1) + -13)\/((-2)\/7)?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -5*g + 2*g. Suppose 0 = -s + 29 + g. Let m = -34 + s. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1*q)\/q)\/q**(3\/2)*(q**0*q)**19)\/((q\/(q\/q**(-1\/4)))\/(q\/q**3*q))**(-9) assuming q is positive.\nAnswer: q**(101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1890*k**3 - 495*k**2. Let v(z) = 210*z**3 - 55*z**2. Let m(g) = -55*v(g) + 6*x(g). What is the third derivative of m(t) wrt t?\nAnswer: -1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3 - (-65)\/26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.407473l to millilitres.\nAnswer: 407.473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - -11. Suppose -4*i = -27 - n. Suppose 4*u = 3*k + i, 0*u + 4*k + 16 = u. What is the remainder when 10 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 - 903*f - 26190 = 0 for f.\nAnswer: -873, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9800707 is divided by 5026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/40)\/((-36)\/30)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 2. Let c = -3 + 10. Let y(m) = -3 + 6*m**2 - m**2 - 2*m**2. Let n(g) = c*u(g) + 4*y(g). Differentiate n(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-13 + 24) - 14.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15*n. Let m(s) = 1976*s - 57. Let x(v) = 70*v - 2. Let y(u) = -2*m(u) + 57*x(u). Give y(f(t)).\nAnswer: 570*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2799438 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*r*s**2 + 30*r + 16024*s**2 with respect to r.\nAnswer: -40*s**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 544 and 829940?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 216\/((-40)\/(-10)) - (0 + 0). Suppose 2*z - 8*z = -u. Solve 0 = -5*f - 4 + z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*a = -81*a + 170. What is the remainder when 348 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, a: 6, i: 3}. What is prob of sequence ma?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-five quarters of a microsecond?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -41*d**3 - 2*d**2 - 2*d - 1. Let s(r) = r + 2. Let b be s(-3). What is the remainder when w(b) is divided by (18\/(-12))\/((-6)\/56)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6249212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662)*-1)\/(2*sqrt(1584)) + (-3 + sqrt(128) + 0 + sqrt(128) + 0 + sqrt(128)*-1)**2.\nAnswer: -1163*sqrt(2)\/24 + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*2*-1 + 1*sqrt(7) + 4)*5)**2.\nAnswer: -200*sqrt(7) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 2. Let r(u) = -17*u - 8. Suppose -n + 32 = -g - 3*n, -g - 35 = 3*n. Calculate g*o(h) + 6*r(h).\nAnswer: 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s + 2064 = -20*s + 5*s for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m + 2*m - 1 + 2*m - 2*m. Calculate s(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 8*c**2 + 71*c - 1. Does 19 divide m(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 8*n**2 + 9*n + 5. Let i be u(9). Suppose 0 = -d - 2*w + 54, -2*w - 270 = -i*d + 2*w. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 988804156 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5838, 11701, 17564?\n\"Answer: 5863*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**20*p*p)\/p)\/p**(-21)*(p*p*p**6)**(33\/7) assuming p is positive.\nAnswer: p**(558\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**5 - 7*f**4 + 54*f**3 - 72*f**2 = 0.\nAnswer: -12, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 21028?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 31*q**2 - 69*q - 94. Determine i(33).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/17, -5, 29, 4\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(175) - sqrt(7))**2*-3.\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -31*b**3 - 5*b**4 - 40*b**2 + 63*b + 17*b - 4*b**3 = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6619, 6613, 6607, 6601?\nAnswer: 6595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2283, 17586, 58853, 138978, 270855?\n\"Answer: 2149*o**3 + 88*o**2 - 4*o + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 + 5 - (0 - (4 + -2)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 185. Let k = 103 + t. Solve k*j - 1 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/31265 and -57\/4572295.\nAnswer: 169174915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*a**2*i**3 - a**2*i**2 + 3*a**2*i*o + a**2*o + a*i**3*o + 5*i*o wrt i?\nAnswer: -54*a**2*i - 2*a**2 + 6*a*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -492 = -6*v - 96. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*x**3 + 27*x**2 - 6 wrt x?\nAnswer: 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14281 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 1245.\nAnswer: 1245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.7 from 296.\nAnswer: 295.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 289*b**3*r**2 - 5*b**3*r + 59*b**3 + 27*b*r**3 + 12*b*r - 2*r wrt r?\nAnswer: 578*b**3 + 162*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5083.251m in millimeters?\nAnswer: 5083251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3950 + -3061. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by 1284.\nAnswer: -39\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/3)\/((-2)\/6). Let p = -2436 + 2453. Suppose -c*b - p = -249. Calculate the least common multiple of b and 16.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 3*z**2 + 2*z - 11. Calculate y(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3440807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -14*l**3 - 2*l - 5. Let o(w) be the second derivative of w**5\/4 + w**3\/6 + w**2 + 3*w. Let a(n) = -4*j(n) - 11*o(n). Let a(h) = 0. What is h?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/3, 2, 0, 1\/1123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-5 - -4) + 118. Suppose 0 = -i + 4*i - w. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -5. Let b be 1\/u + (-16)\/(-12). What is the highest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/3 + (-1)\/(-3). Suppose -5*w + 79 = -4*z - 0, -5*w = p*z - 73. Calculate the highest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 79 = 4*l. List the prime factors of l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 2*q. Let n be u(2). Let v(p) = -3*p**2 + n*p**2 + 2*p**2 + 6*p + 5*p - 1. Let m be v(11). Do m and -8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 398, 795, 1192, 1589?\n\"Answer: 397*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 6*n + 2. Let a(t) = -5*t**2 + 13*t - 4. What is -3*a(i) - 7*m(i)?\nAnswer: i**2 + 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 15. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284909 smaller than 1284909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28713062 divided by -1248394?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 365.1 + -365. What is the nearest to u in 0.4, 5, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + 30 + 1457*r**3 - 2 - 4*r**2 - 1456*r**3 + (3*r**2 + r**2 - 2*r**2)*(14*r + 17*r + 28*r).\nAnswer: 119*r**3 - 4*r**2 - 2*r + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**5\/30 + 7*p**4\/24 - 5*p**3\/6 + 187*p**2. Give b(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21944*q - 10123*q - 10886*q)*(2 - 4 + 1)*(-9*q - 3*q - 7*q).\nAnswer: 17765*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 20. Suppose -n = -3*i + 16. Suppose l + 3 + 4 = 5*d, 5*d + 3*l - i = 0. Solve 5 = -d*k + 5*a, -4*k + 5*a = a + 16 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 + -55a4285?\nAnswer: -55a42a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1033.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/9)\/(35\/((-525)\/(-10))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v. Let i(f) = -891*f. Determine i(s(m)).\nAnswer: 3564*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 84 = 4*g, 0 = 4*g - 2*g - 6. Let x(d) = -28*d + 680. What is the lowest common multiple of x(24) and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*v + 6, 0*o + 21 = o + 2*v. Suppose 13*s = o*s - 4. Suppose -s*z = -921 - 117. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158980 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*p + 387 with respect to p.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (288\/240)\/(-1*3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/8)\/(((-30)\/(-2))\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/6*(-2 + 8). Let u = 84 + r. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 3*n**4 + 3*n)*(31 + 41 - 58).\nAnswer: 42*n**4 + 42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21825.\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -2*z - 12, 4*c + 2*z - 22 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186786 and 1?\nAnswer: 186786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2. Determine f(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1616696*s*w - 30071181*w wrt s?\nAnswer: -1616696*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 52774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4 - 8*o + 7 + o. Let t(s) = 36*s - 16. Let z(f) = f**3 - 15*f**2 - 40*f + 105. Let l be z(17). Suppose 1 = -p + 17. Determine l*t(r) + p*a(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -940, -900, -788, -568, -204?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/3)\/(6\/(-45)). Suppose -p*j + 21 = -n, 4*n - 17 + 1 = -5*j. Let w = -16.5 + 16. Which is the closest to 2\/7? (a) -4\/3 (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16d1a3d (base 14) to base 4\nAnswer: -222331023213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-281 + 155 - 156)*(-3 + 5 + 0)*(-2*h**4 + 3*h**4 - 2*h**4).\nAnswer: 564*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a - 11. Let h(f) = -15*f + 16. Determine 5*h(b) + 7*j(b).\nAnswer: -5*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g - 33. Let b be x(7). Let r(z) = z**3 + 4*z**2 - 7*z - 10. Determine r(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 804*s**4 - 807*s**4 - 17*s - 43 - 39*s. Find the first derivative of y(f) wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343917 to the power of 1\/2, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2546 (base 7) to base 9.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i - 18 = 0. Let k be (-7 - 0) + (10 - -3). Solve -i = k*z - 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.414892 - -9475678.585108. Let n = -9475706.999955 + a. Let y = 20 + n. Round y to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 96*r - 2053. What is u(-64)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21749114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(190)*-4 + sqrt(190))\/sqrt(10)*3)**2 + (1 + (sqrt(304) - (sqrt(304) + (sqrt(304) - (-2 + 2*sqrt(304)))) - sqrt(304)) + sqrt(304))**2.\nAnswer: -8*sqrt(19) + 38781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -15*w**2 - 9*w + 4. Let g(v) = 38*v**2 + 22*v - 10. Determine 5*g(n) + 12*y(n).\nAnswer: 10*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 56*y**2 + 24*y + 29 - 63*y**2 + 115*y**2.\nAnswer: -4*(y - 7)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -40 + 62. Let w be (-6)\/(-4)*132\/9. Calculate the highest common factor of w and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {y: 9, o: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174074578?\nAnswer: 2, 43, 53, 181, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6955146 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from qvdddvjqqvvddqvvqvv?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 7*a**6\/30 + 5*a**2 + 4*a. Differentiate c(x) with respect to x.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 32*k - 8*k - 8*k + 46*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d - 5*h + 54, 70 = 4*d - 3*h. What is the tens digit of d\/(-24)*-3*66?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b = -31*b + 55 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 37*r**2 - 70*r + 40. Let m be j(35). Let h = 16 - -24. What is the highest common factor of m and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from lelsesslleesee?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 21*f**5\/100 + 303*f**4\/20 + 38*f**3 + 126*f**2\/5 + 210*f. Let c(z) = 0. Calculate z.\nAnswer: -42, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/64)\/(18\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 35 = -5*h, 800*h = 2*c + 799*h + 31 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -105, -130, -179, -258, -373?\n\"Answer: -v**3 - 6*v**2 - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = z + 26120, z - 4*z - 78349 = 4*d. Let t = z + 469937\/18. Let m = 155169\/22 - 7058. Calculate the common denominator of m and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*i**(-8\/5)\/i)\/i))*i**4*i)**4 assuming i is positive.\nAnswer: i**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 108*h + 89*h - 220*h)*(3 - 5 + 5) in the form r*h + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + -5.3. Let r = x - -3.3. Let y be (3\/42)\/((-5)\/20). Which is the nearest to r? (a) y (b) -0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/1020 + y**5\/170 - 3*y**4\/68 + 5*y**3\/51 - 24*y**2. Factor x(w).\nAnswer: 2*(w - 1)**2*(w + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.44305cm in meters?\nAnswer: 0.8744305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 297\/(-63)) + -3 - 4\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.091 (b) 2 (c) -7\/18 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14*((-6)\/(-2))\/3. What is the nearest to r in -1\/4, 0, 0.7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56419670.\nAnswer: 2, 5, 1117, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4742 or 4741?\nAnswer: 4742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12b + 2?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 - k**4 + 8*k**4)*(-3 + 1 + 3).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.6735994 months?\nAnswer: 0.00022279995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**3 + 805398*s**2 - 888423.\nAnswer: 3*s**2 + 1610796*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -52 + 12 + -16 + -5 + -7 + 5?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/54*(-3)\/(-1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3846635 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 8 (c) 5 (d) 0.08 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*u + u - 78 = 0, -4*p = -2*u - 172. What is the least common multiple of p and (5\/(-2))\/(7\/(-42))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 175 = -y + 5*z, -z + 5 = 0. Suppose -y = -3*x + 700. Find the third derivative of 300*h**4 + 34*h**5 - x*h**4 - 4*h**2 wrt h.\nAnswer: 2040*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -8*s**2 - 3*s - 10. What is g(-3)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 + 2. Let a be s(0). Suppose a*n + 10 + 8 = 2*f, 12 = 4*f + 2*n. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*c**3*f*u**2 - 2*c**3*f*u - 6*c**3*u**3 - c**2 - 11*c*f*u**3 + 5*f*u**2 wrt c?\nAnswer: 78*f*u**2 - 12*f*u - 36*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3 + 0 - 2 + p. Let w be 4 + (-16)\/(-4) + -2. Let v be (-2 + 4)\/(15\/w + -2). What is f(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263126*v**2 + 131563*v**2 - 1780*v**3 + 131563*v**2 + 1783*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l - 15 = -9*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 - -559. Suppose -k - 522 = 8*z - 3*z, -4*z = 4*k + w. Let v be z\/(-30)*8\/2. What is the greatest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + a + 3, -5*c = -0*c - 5*a - 15. Solve 5*y + 4*w + 11 + 20 = c, y - 5*w = 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13\/65)\/((-2)\/(-20)). Let a be 5 + f + -6 + 4. Solve a*x + 20 = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*n = -8*j + 41316, 5*n + 30987 = 3*j. Is 2\/6*-2*j\/(-22) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2131 = 187*b - 1048 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 3*z. Suppose -2*g + 121 = z. Let f = g + -42. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2151\/(-15))\/((-459)\/170). Is 52 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1900 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(((-5208)\/(-155))\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/22 + 4\/2. Let l be -6*(-9 - -11)\/(-9 - -3). Which is the closest to 3? (a) 1 (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 - 1) + (17 - (12 - -15)) + 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2430*u**2 - 4*u - 12063. Let n(r) = -9720*r**2 + 16*r + 48309. Let h(f) = 23*m(f) + 6*n(f). Differentiate h(p) with respect to p.\nAnswer: -4860*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 112 = -3*g + 37, -u - 3*g = -33. What is the greatest common factor of u and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**21\/h*h*((h**(5\/7)*h)\/h)\/h assuming h is positive.\nAnswer: h**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2\/9, 1\/134, 8, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiriiiiriiirirriiii. Give prob of sequence ir.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**6\/120 - 11*p**3\/6 - p. Let l(t) be the second derivative of x(t). Let r(u) = u**2. Calculate r(l(j)).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 57*r**2 - 3*r - 3. Let a(v) = -86*v**2 + 5*v + 4. Give 5*a(z) + 7*l(z).\nAnswer: -31*z**2 + 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6) + (-1495)\/150 - 1. Is -12 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36750 + 1680?\nAnswer: 38540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**5\/60 - 5*f**4\/24 + f**3\/2 - 2*f**2. Let w be i(-6). Let u = 9 - 7. Which is the smallest value? (a) w (b) u (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -507*f**3*q - f**3 + 9 wrt q.\nAnswer: -507*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1883*b - 5297*b + 1833*b - b + 4*b - 4*b + (0 - 2 + 3)*(0*b - 3*b + b))*(b**3 + 0*b**3 + 2*b**3) to j + x*b**2 + a*b + k*b**3 + y*b**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 8\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 + 3 = 0. Suppose -2*g + q = -4. Suppose -3*t - 3 = 0, -3*t + 436 + 845 = g*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - 1)\/6 + 2 + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 23*n**3 + 11 + 0*n**3 + n**3 + n**3 + (0*n + 3*n - 5*n)*(-n**2 - n**2 + n**2) in the form z + t*n + d*n**2 + x*n**3 and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336513?\nAnswer: 3, 23, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 262 - 289. Suppose -31*t + 348 = g*t. Solve -5*x - 5*d + 7*d = -1, -4*x - t = -5*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-2))\/((-2)\/(-6)). Suppose -m*r = -8*r - 5. Let b(v) = -4*v + 1. Let q be b(r). Solve q*s = 15 - 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1087.7748 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 918397?\nAnswer: 918397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1111?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, 1404336, 3.\nAnswer: -215, 3, 1404336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + (7 - 2) + -6 + -32.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*g**2*h**2 - 94*b**2*g**2*h + 114*b**2*g**2 - 2*g**2 with respect to h.\nAnswer: 2*b**2*g**2*h - 94*b**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 (base 13) in base 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4201 - 37754\/9. Calculate the common denominator of v and -6*6\/((-192)\/100).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -280 - -282. What is the second derivative of 159*v + 16*v**d - 3 + 2*v**2 - 164*v wrt v?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267025349 at least 267025350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of a**5\/60 + a**4\/6 + a**3\/3 - 5*a**2. Let b be d(-3). Let m = 1\/62 + 179\/434. What is the closest to b in m, -0.4, -1\/10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*v + 12, 32*u - 16 = 4*v + 31*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j + 4*j**2 - 7*j**2 + j**2 - 2*j**3 - 3*j + 16 to the form c*j**3 + a*j**2 + t + m*j and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oxzo. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -4\/5 (c) -79\/3 (d) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l**3 + l**2 - l. Let v(c) = -c**2 - 3*c + 6. Let q be v(-4). Suppose q*u - 8 = 3*p, -3*u + u - 4*p - 6 = 0. What is i(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**3\/6 + 47859145*a**2\/3 + 191436577*a\/6 + 15953048 = 0.\nAnswer: -95718288, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 39236?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261022 to the power of 1\/2, to the nearest integer?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66032818.836 less than 0?\nAnswer: -66032818.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1208293 is divided by 124?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-12 - (-2 - 3)) + -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + -47603326?\nAnswer: -47603342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -9*g - 36, 2*g + 5*q + 1421 = 1413 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9071587?\nAnswer: 7, 647, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*x**2 - 2*x**2 - x**2)*(-1 + 4 - 2 + (1 - 6 + 3)*(-1 - 3 + 2) + 0 + 5 - 4)*(32 + 4 + 22) to q*x**2 + u + g*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbjllljllllll. What is prob of picking 2 l?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 4*q**2 - 15*q + 58. Calculate a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**7\/21 - q**4\/12 + 2*q. Find the third derivative of b(a) wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1169 - 1167. Solve -h*m - 1 = -z + 1, 0 = -4*m - 4*z - 28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 6182923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -167 - -239. Let q = 52 + s. Calculate the remainder when q is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**7\/840 + f**6\/180 + f**5\/20 - 3*f**2. Let r(q) be the third derivative of o(q). Is r(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43300 (base 6) to base 5.\nAnswer: 142230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -23 and -76 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 95988 = 4*h + 44510, 3*t = 6. Let r = 1966731\/56 + h. What is the common denominator of r and 157\/42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 1)*(-3 + 3 - 1) - 1 + 2 - 4)*(13*v - 30*v**3 - 3*v**2 + 2*v - 17*v).\nAnswer: 30*v**3 + 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 7. Suppose -4 = 2*p, -3*p = -4*j - w*p + 54. Let i(g) = g**3 + 3*g**2 - 3*g - 3. Calculate the remainder when j is divided by i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p + 0 + 0. Let o(s) be the first derivative of s**5\/60 + 33*s**3 - 113. Let x(a) be the third derivative of o(a). Give x(z(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48894461 and 1166?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 21 + 28 - 5*v)*(-3*v**2 + 0*v**2 + v**2).\nAnswer: 10*v**3 - 46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.4 (b) -4\/5 (c) -0.3 (d) 0 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*u**3 + 1)*(-30 + 30 + 3*u)*(13*u + 7 + 11*u - 25*u).\nAnswer: -6*u**5 + 42*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**3\/6 + 5*x**2 - 4*x. Let m be j(-5). Suppose m*t - 2 = 53. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.131524 * 5.\nAnswer: 0.65762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 1. Let z(r) = r**3 + 7*r**2 - 3*r - 18. Let l be z(-7). Let w be k(l). Let j be (-80)\/(-44) - w\/(-44). Solve -5*t - 15 = -j*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32003 (base 4) in base 11?\nAnswer: -748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -44787598\nAnswer: -22393799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:52 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12*a - 8. Let s be v(4). Let h be s\/49*14\/(-4). Suppose w + 54 = h*w. Calculate the smallest common multiple of w and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 4*p = -z + 492, p - z = 246. Suppose p = 41*q - 40*q. Calculate the lowest common multiple of 2 and q.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.229 - -1.611. Let h = -36392 + 36390.1519. Let q = p + h. Round q to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 58. Suppose 5*n - j = -5*v, 2*v + 0*n = -4*n + 14. Suppose 0*r - r = -v. What is the least common multiple of 7 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.684 + -350.616. Let d = z - -352.6886. Let l = d + -0.0716. Round l to two decimal places.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 3*m - 5. Let d be l(-6). Let c(w) = -11*w - 20. Let r be c(-6). Suppose 5*u - 47 = -4*s + 29, 0 = -3*u - 2*s + r. Is u greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**3 - 3*m**2 + 6*m. Suppose 0 = 4*q - 9*q + 30. Suppose -i = 4, 3*k - 3*i - q - 15 = 0. List the prime factors of t(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -949549 or -949552?\nAnswer: -949549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -741850 divided by 25\nAnswer: -29674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7628 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 351, 343, 331, 315, 295, 271?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 1234 = 11*s. Let o = s - -621. Solve 5*p - 35 = 4*y, 3*p + 0*p - 29 = o*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 190059 and 0.2.\nAnswer: 190059.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 0)\/(6\/(-4)). Let h(x) = -x**2 - 3*x - 1. Let n be h(f). Let m be 1\/(8\/6 - n). Solve -m*s - 8 = -4*l, 1 = -0*s + 4*s - 3*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1695 and 318661695?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135589 = -3212*r - 48865 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12733?\nAnswer: 7, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(-5 + 3 + sqrt(1100) + sqrt(1100) + 0 + sqrt(1100)))**2.\nAnswer: -108000*sqrt(11) + 8913600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + -32. Let d = -10 + t. What is the units digit of -3 + (d - (-35)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -11*r**4\/4 + r**2\/2 - 29*r - 271. Find the first derivative of b(w) wrt w.\nAnswer: -33*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 239 + 3*i**3 + 3*i**2 + 3*i**3 - 5*i**3 + 244. Calculate the remainder when 169 is divided by d(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbetymayetayet. Give prob of sequence mbe.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249790297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*a = -150*a + 7366 for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, f: 8, t: 3, o: 3}. Give prob of sequence toto.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2785366um?\nAnswer: 0.0002785366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-27) - 5439\/(-216). Let g = 107\/6 - q. What is the common denominator of g and -9\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/24 + 0)*2. Let k = -98.41 - -98. Let s = k - 0.09. Which is the third smallest value? (a) -5 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.002 * 0.5\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 247, 504, 769, 1042, 1323, 1612?\n\"Answer: 4*z**2 + 245*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. Suppose l*a + 3*h - 25 = 0, a + h = -2*a + 15. Suppose 2*f - 2*x - 12 = 0, -5*f - x + 37 = -a. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-4)*(-25792)\/(-1040).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) 4 (c) 2\/60531\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*l**3 + 9 - 84*l**3 + 19*l + 22 - 31.\nAnswer: -7*l**3 + 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 55*y - 58*y, 26*q - 2*y = 58 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/63)\/(6 - (-360)\/(-63)). What is the nearest to 0 in 4\/3, k, 0.5, -79\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7\/4 (b) 141633 (c) -0.4 (d) 0 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -35. Let p = 803 + -802.5. Put -1\/7, p, 18, h in descending order.\nAnswer: 18, h, p, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkgkgus. What is prob of picking 2 k and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -743*x**7\/42 - 37*x**4\/12 - x**3 + 342*x. Find the third derivative of v(c) wrt c.\nAnswer: -44580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 42 = -2*r, -5*a - 3*r + 56 = -a. Suppose 2*d - a + 4 = 0, -4*d = -3*j - 23. Is -1 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418066982 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**7\/84 - g**6\/60 - 3*g**5\/40 + g**4\/24 + g**3\/6 - 6*g. Determine h so that u(h) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -300, -328, -356, -384?\n\"Answer: -28*n - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 + 14*y - 6. Let b(p) be the second derivative of -p**4\/6 + 5*p**3\/6 - p**2 - 24*p. Determine -8*b(x) + 3*n(x).\nAnswer: x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.44 - 0.06. Suppose 0 = -2*v + v - 0*v. Suppose m + 17 = -v*g + 2*g, -2*m - 4*g = 26. Which is the nearest to m? (a) j (b) 0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/60 + 3*130\/24. Solve -m*q = -6*q + 22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64889 and 325193?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2476170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -89 + 91 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*l - 642 + 660 = 0, 0 = -4*c + 4*l - 8 - 36 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -158, -282, -456?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 2. Let f be (1 + 23 + 4)*1. Let d = f + -32. Calculate c(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f - 4*f + 0*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -422080 to the nearest ten thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*-5)\/sqrt(3))\/(sqrt(15)\/sqrt(405) + sqrt(3)).\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - 4. Suppose -o + 2*o = 4, 2*o - b = -3*u. Let t = 19 - 14. Sort t, u, 4.\nAnswer: u, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*g - 7 = 0, -7*b + 3*b = 2*g + 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1615*x - 1575*x = 400. Suppose 3*l + 51 = 5*q - 248, 217 = 4*q + 5*l. Calculate the remainder when q is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 87.\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -284*l. Let s(z) = -z. Give k(s(a)).\nAnswer: 284*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (331 + 107 + 345 - 97)*(85 - 85 - 11*k).\nAnswer: -7546*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppqpppqpppqp.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 5)*(-2*l + l + 0*l)*(-l**2 - l**2 + 0*l**2) in the form w*l + q*l**3 + f*l**2 + o and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3742678748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u. Suppose 0 = -3*j - 12, 5*d = 2*j - 2 + 20. Suppose u*h - 787 = -5*z - 4*h, d*z - 312 = -3*h. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -28. Let a be 3 + -2 + c + 205. Let p be ((-2)\/4)\/((-2)\/a). What is p rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w - 2. Let m be 6\/(-72)*-6*2\/1. Is m > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.405671 litres in millilitres?\nAnswer: 7405.671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 44899*d**2 + 22446*d**2 + 2*d**3 + 22453*d**2 + 41 - 21.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x + 14. Let h(s) = 3*s - 4*s - 2*s + 4*s + 5. Calculate -8*h(r) + 3*o(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -72, -180, -334, -534, -780?\nAnswer: -1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/5)\/(9\/(-30)). Let g be 2\/v*(-7 + -3). What is the smallest value in -3\/8, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 22*q**2 - 37*q - 306. Let j(c) = 6*c**2 + 2*c - 3. What is the lowest common multiple of j(-3) and g(-21)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -217, -2, -4 in decreasing order.\nAnswer: 2, -2, -4, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2323*d**3 - d**2 - 13*d - 12. What is the hundreds digit of s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(7)*1*2.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(2\/13)\/k))**(-17\/3)*k**(10\/7)\/(k**(-8\/9)*k) assuming k is positive.\nAnswer: k**(1793\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 4*w**3\/3 - 33*w**2\/2 + 18. What is the second derivative of s(d) wrt d?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -28 - (1519 + -1550).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(156)\/(-1*sqrt(6)))\/(sqrt(18)*-3).\nAnswer: -5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-7)*k)\/k)\/k*k)\/(k**(-1\/7)\/k))**13\/((k\/k**(-6)*k\/((k\/(k*k**(-5)))\/k))\/(k*k**(2\/7))**(-45)) assuming k is positive.\nAnswer: k**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 112473 - 5*j**2 + 112473 + 0*j**2.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191 - (-27 + 53 - -93).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 906.4841 milligrams in grams?\nAnswer: 0.9064841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - 420\/100 - 1\/(-30)*-14. Determine d, given that 1\/3*d**4 - 4\/3 - 5\/3*d**3 + 1\/3*d**5 + 8\/3*d - a*d**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, and 1 u when three letters picked without replacement from eqmqqmumuquequuemeu?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11038, -10327, -9616, -8905?\n\"Answer: 711*k - 11749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*p + 30, -w - 2*p = -4*p - 12. Let s = -9 + 17. Let l = 8 - s. Solve -y + l*o - w*o = -4, 0 = -5*y + o - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**3 - 6*q**2 + 11*q - 32. Let b(a) = -5*a**3 + 7*a**2 - 12*a + 32. Let w(v) = -6*b(v) - 7*s(v). Differentiate w(f) with respect to f.\nAnswer: 6*f**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -46. Let g be ((-4)\/(-3))\/((-10)\/(-3)). Determine a so that 2\/5*a + j + g*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/484 and -13\/99.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 4*s = -2*v + 8, -5*v = s - 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 269.863 + -270. Which is the closest to 1\/2? (a) t (b) 6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h**2 + 7*h - 1. Let m be b(-3). Let g = -18 + m. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80*2\/(-237) - 4\/(-6). Let z = -33859243 + 16049267203\/474. Let y = n + z. What is the common denominator of -59\/20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1450 (b) -104 (c) 1\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 0 - 2\/(-8). Let s = 249 + -381. Let b = s + 131.9. Put b, -8, z, -5 in ascending order.\nAnswer: -8, -5, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 223201, 223178, 223155, 223132, 223109, 223086?\n\"Answer: -23*l + 223224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 0*x**2 + 3*x**4 + 3*x**2 - 7*x**3 - x + 12*x**3. Let u(z) = z**4 + z**3 + z**2 - z. Let g(b) = -d(b) + u(b). Find i such that g(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 47 - 239 + 7*p.\nAnswer: 10*p - 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -3*w**4\/4 + 14*w**3\/3 + 2*w**2 - 20*w + 4. Let a = -66 + 52. Let c be n(a). Round c to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**2 - 2*s + 11. List the prime factors of y(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 3. Let o be l - 10 - (1 + -4). Solve -1 = -o*j - 3*u + 18, 3*j - 11 = -2*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 18}. What is prob of picking 2 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211789464.\nAnswer: 2, 151473683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2926*m - 1749*m + 3638*m + 2853*m to z + j*m and give j.\nAnswer: 7668","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t**2 + t + 4. Let u be m(0). Solve 28 = -5*z - u*p, -5*p - 26 = -0*z + 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**4\/12 - 4*h + 3. Let z(r) = -20*r**2. What is p(z(l))?\nAnswer: -400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 7*h + 40. Give z(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*q**5 + 25*q - 9*q - 11*q wrt q.\nAnswer: 260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13742, -54977, -123718, -219965, -343718, -494977?\nAnswer: -673742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/50 and -73\/630?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -31, -24, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.023 - 0.023. What is the smallest value in -3, f, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3824 is divided by 56?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2000140 - -4?\nAnswer: 2000144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10601 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: What is fourty-five halves of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*g*o*s**2 - 315*g*o + 2*g*s**3 - 2*g - 9*o*s**3 - 18*s**2 - 4 wrt o.\nAnswer: 9*g*s**2 - 315*g - 9*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 - o. Calculate a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 10*r**2 - r - 3. Let u be o(-10). Solve 42 = -u*c + 21 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:34 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 11*a - 2. Calculate the remainder when 10 is divided by p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + m - 3*m**2 + 300*m**3 - 298*m**3.\nAnswer: 2*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*s = 2061*s - 11155 - 36927 + 5158 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -158, -0.4 in descending order.\nAnswer: -0.4, -8, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -258 + 268. Let f be ((-1)\/2)\/((-1)\/170). What is the tens digit of (8\/y)\/(2\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.421 - 4253\nAnswer: -4253.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2258154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2246*-46\nAnswer: -103316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -32396, 11, 1, 3, -3.\nAnswer: -32396, -5, -3, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.4 + -0.084.\nAnswer: -4.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5747.3404 rounded to 0 dps?\nAnswer: 5747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 6*f**2 - 7*f - 6. Suppose 2*r - 11 = -2*l - l, 3*r + 9 = 4*l. Suppose 4*c + 6 = -l*g, 4*g + 22*c = 18*c - 12. Does 6 divide t(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 559 + -565. Let x be 6*(33\/c)\/(-11). Find g such that -1\/3*g**4 + 0 - 8\/3*g - 4*g**2 - 2*g**x = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 29. Let b(x) = -x**3 - x. Let r be b(m). Let y(t) = 2*t - 3. Let c(j) = 4*j - 5. Let z(g) = r*y(g) - 6*c(g). Let i(v) = v**2. What is z(i(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 772504379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 50643\/63) + 1. Let d = u + 795. Which is the closest to 4? (a) 2\/5 (b) d (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (20 + (-10 - 10) + 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5430 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4376708, -4376705, -4376702, -4376699, -4376696?\nAnswer: -4376693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -98 and -0.06.\nAnswer: 5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -15*c + 19 + 0*c + 3*c + 7*c. Let n be s(3). Suppose 3*t = 6, n = -u - t + 9. Which is smaller: 13\/5 or u?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.091376l in millilitres?\nAnswer: 9091.376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + -106. Calculate the greatest common divisor of b and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 451790.6371873 + -453875.08757. Let n = k - -2041.45039. Let m = 43 + n. Round m to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 3*q**3 - q**3 + (-3 + 4 - 3)*(-2 + 1 + 0 + (1 - 4 + 4)*(3 - 2 - 3))*(13*q**3 + 3*q**3 - 3*q**3) to v + r*q + t*q**3 + l*q**2 and give t.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-4) + -83 + 63)\/((-5)\/(-8)) - 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1559, -6158, -13823, -24554, -38351?\n\"Answer: -1533*r**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.19 - 15. Let j = 0.91 + t. Let h = -1.2 + j. Which is bigger: -14 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:17 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-3)*((-1182)\/(-147) + -8)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**25*(n*n*n*n\/(n*n**7)*n)**(-7) assuming n is positive.\nAnswer: n**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -22 - (-789 - -809)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*y**4 + 11*y**4 - 9*y**4 + 4*y**4 + 8*y**4 - y**4 + (-2*y + y - y)*(y**2 - y**2 + y**3) in the form n*y**2 + b*y + a*y**4 + s + q*y**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 39 - 14, -3*x - 23 = -4*a. Suppose -2*q = -8, -8 + 0 = a*l - 4*q. Suppose 0 = -l*k + 8*k - 228. What is the highest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54872.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*q - 8, 4*q = -3*z - 5 - 11. What is the units digit of -5 + 8 - (-18 + z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564665.\nAnswer: 5, 31, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**4 + 4*m**3 - 2*m**2 - 4*m - 1. Let p(x) = 21*x**4 + 15*x**3 - 9*x**2 - 15*x - 3. Let l(d) = -9*c(d) + 2*p(d). Factor l(s).\nAnswer: -3*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/14678 and -9\/2638.\nAnswer: 19360282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(75)*-4 + sqrt(75) - sqrt(75))**2 + (sqrt(768) + -4 + sqrt(48))*6.\nAnswer: 120*sqrt(3) + 4777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619539.\nAnswer: 3, 97, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 200 and 3790400.\nAnswer: 3790400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9783*t - 9783*t - t**2 - 2*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 13226*b - 4. Let x be q(3). Let l = -24974 + x. Round l to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/18*188 + 28\/126. Let w = 196 - x. Calculate the highest common factor of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2429*i**2. Let z(a) = 14*a**2. Calculate y(z(g)).\nAnswer: -476084*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -15, -3*z + x = 5*x + 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -599 = -3*d - 122. Suppose -29*o + 32*o - d = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/38 in 0.03, 0.3, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -584 - -586. Let a(d) = d**2 + 17*d - 13. Let o be a(-18). Solve -6 + k = -4*g + 4*y, -o*g + 5 = 5*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 2\/9, -0.1895, -1\/4 in descending order.\nAnswer: 5, 2\/9, -0.1895, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (sqrt(117) + 6*sqrt(117)*3 - sqrt(117))))\/sqrt(9).\nAnswer: 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/7, 3, -13, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -575 - -a973?\nAnswer: a3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22419, -22417, -22415?\nAnswer: -22413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + p + p**2 + p)*(1026*p**2 - p - 14 - 1032*p**2 - 1) to the form d*p**3 + a*p**2 + l + n*p + g*p**4 and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1142603318 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 + 51. Which is the nearest to -2\/5? (a) 2\/13 (b) -1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.8 - 461.\nAnswer: -412.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + 25*o - 516. Let b be l(8). Put 20, b, -3, 9, 11 in descending order.\nAnswer: 20, 11, 9, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)\/((-15)\/30). Find the common denominator of j\/(-1) + (-94)\/12 and ((-1)\/(-4))\/(10\/392).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*w - 5*d - 210 = 188*w, 2*w - 4*d = 82. Put -3, w, 4 in descending order.\nAnswer: w, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22a - 3024?\nAnswer: -28a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/86 in -29, -1, -0.5, -833?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 56*s + 1182. What is h(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f + 1 - 2*f**2 + 0 - 4. Determine j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*2732 - (31 - 32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-16) + (-9)\/(-6). Solve 3*m = -9 - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0 - 5)\/(-7 - (-300)\/45).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 1\/6, -21, -2\/21?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 + -0.02. Let d = 0.27 - 4.27. What is the closest to 2\/3 in d, u, -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10135*b**2 - 9980*b**2 - 13106*b**2.\nAnswer: -33221*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 28 = -3*n. Let s(u) = u**2 - 5*u - 7. Let m be s(6). Let t be 1\/((-2)\/(m - 153)). What is the greatest common divisor of t and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - j. Let o be l(1). Suppose -4*m = o - 13. Suppose 6*x - m*x + k + 8 = 0, -5*x - 2*k - 12 = 0. Let f(z) = -z - 4. Give f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34379 - 8586 + 1961 = 1139*x for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -69655818 divided by -4?\nAnswer: 34827909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*c**2 - 37*c**4 + 60 + 336 + 7 + 42*c**4 wrt c?\nAnswer: 20*c**3 - 40*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 0 (c) -199.38 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**3 + 5*q**2 - 99*q - 8. Let g(h) = h**2 + h - 2. Determine -f(u) + 3*g(u).\nAnswer: 4*u**3 - 2*u**2 + 102*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 + (0 - (-13 + 9)) + 6 - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + h + h + (-3 - 2*h + 3)*(0 - 2 + 0) - 8*h + 40 - 40.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6195 divided by -105\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4788186 and 5304?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 18*l**2 - 32*l + 487. What is t(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 4*l - 2 + l + 2*l.\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 3 + 5 - (4 + sqrt(275))) + -5)**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5297464, 5297462, 5297460, 5297458, 5297456?\nAnswer: 5297454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(208) + -3)*3 + (sqrt(208) + -2 + 1)*-5)**2 + -1.\nAnswer: 160*sqrt(13) + 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 10*h - 59. Give u(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 519 - 519 + 4*z**4 + 9*z wrt z.\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 2 (c) 353 (d) 434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 16. Solve -l*v = -8*v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1171 divide 2223504168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (-38)\/(1976\/884).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 0*f**2 - 2*f**2 + 5*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.2, 77, 0.4.\nAnswer: -9.2, 0.4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 91*c + 26. Let d(k) = 18*k + 5. Suppose 14*q - 55*q = 16*q - 285. Give q*w(t) - 26*d(t).\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 3*x**2 + 4*x - 5. Let t = 11 - 15. Determine i(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than 159605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*k - 1062*k + 2125*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.1. Let v = -5266.76 - -5266.7. What is the closest to 1 in l, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g, -y + 5*y + 4*g = 40. Let l(s) = -s**2 + 8*s - 6. Let a be l(y). Suppose h + h = 6. Solve b - a = 0, -4*m - h*b = -4*b + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - 107.0209. What is i rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(sqrt(77) - 4*(sqrt(77)*2 + sqrt(77) - sqrt(77)))\/(sqrt(11) - -1*sqrt(891)) + -1.\nAnswer: -1 + 21*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16824920, 33649842, 50474764, 67299686, 84124608?\nAnswer: 100949530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010 - -101111011011010100001?\nAnswer: 101111011010111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 140 (b) 1 (c) 3 (d) -0.3 (e) -0.1 (f) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*n + 22 = -38, -n - 25 = -2*s. Suppose s*y - 5*z = 6*y + 488, -363 = -3*y + 3*z. What is the remainder when y is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2995556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 461 + -460. Let x be ((-58)\/145)\/(m\/(-1200)). What is the highest common factor of x and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(6\/7)\/m)\/m*m)\/(m\/(m\/(m*m*m**(-12))))*m*m\/((m\/m**(-6\/11))\/m*m*m)*(m\/m**12)\/m assuming m is positive.\nAnswer: m**(-207\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10699 and 2492.\nAnswer: 26661908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 313*(0\/20 + (-2)\/(-2)). Let a = l - 305. What is the greatest common divisor of a and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - -2. Let u = 29238 + -29230. Suppose -4*d + 10 = -2*d. Which is the closest to t? (a) u (b) d (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12400\/39 + 318. What is the second biggest value in 0.01, 2\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(49)\/sqrt(7)*4 + (sqrt(49)\/sqrt(7)*-4)**2 + 2.\nAnswer: 12*sqrt(7) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012230333 (base 4) to base 3.\nAnswer: 112201020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/100 and ((-93)\/165)\/(35\/(-5) - -12).\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - 5*d**4 + 0*d**4)*((-5 + 2 + 5)*(2*d + 3 - 3) - 3*d + 5*d - 3*d).\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37584 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10552013 + -10552024.0000035. Let q = 410 - 421. Let m = g - q. What is m rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 + 4. Let o be -3 + 82 - (d - -1). Suppose 2*n + s = 149 + o, -4*s = -5*n + 575. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -3 - (-2)\/4. Let p = -110.4 + 110. What is the closest to 0 in v, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2 + 112*w + 7268 = 0.\nAnswer: -46, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1215, -0.05.\nAnswer: -1215, -5, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2. Let q(y) = 10*y + 2. Determine h(q(r)).\nAnswer: -200*r**2 - 80*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46456 + -46455.93. Let s = -4.9 + 0.9. Which is the nearest to u? (a) s (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -2999*r**3\/3 - 4*r**2 + 16*r + 18. Let j be p(4). Round j to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 73 - 5 = 0. Calculate the remainder when 102 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(70\/(-32))*((-1250)\/(-20))\/25.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + (-28)\/6. Let r(j) = -j**2 + 7*j + 56. Let o be r(12). Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 6, o: 4, w: 1, t: 2, m: 2}. What is prob of sequence kwto?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/75702 and -179\/157542.\nAnswer: 5829054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-105)*(-1)\/(-3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q - 8*q**2 - 9*q + 0*q**3 - 7*q + 2*q**3 + 20*q**2 to a*q**3 + v + j*q**2 + p*q and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*i + 0*i - 16 = 0, -5*f - 2*i = -30. Suppose -f*s + 44 + 32 = 0. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 74576592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -448018588*n**2 - 108947*n + 781.\nAnswer: -896037176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.004.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 23572*v + 71. Let t(r) = 11785*r + 35. Let g(n) = -4*l(n) + 10*t(n). Let k be g(7). What is k rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 612 = p. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 24*m**2 + 9*m - 11. Is g(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4044 + 27 = -39*w. Calculate the remainder when w is divided by (5\/1)\/(1\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixteen sevenths of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -915816 or -915815?\nAnswer: -915816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 9*w + 25*w**2 + 6*w + 3*w + 20*w + w**3 - 118. Let v be c(-24). Solve 0 = 6*a + v + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j*((j**7\/j)\/j*j)\/j)))\/(j*j*(j\/(j\/(j*j**8)))\/j*j*j))\/(j**(-16)\/((j*j*j**(-6\/5)*j*j)\/j*j)) assuming j is positive.\nAnswer: j**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8906\/7 - -1272. What is the closest to z in 0.2, -3, 10\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/15)\/(12\/1930). Let m = 65 - s. What is the closest to -1 in -1, -1\/2, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -374 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**2 + k - 2. Let i be n(1). Suppose -3*w = 4*f - 145, -3*w = i*f - 3*f - 185. Solve -82*q + 2*q**2 + 38*q + f*q = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 8, -10, 67?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130858501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194545 is divided by 97221?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f**2 - 3 + 3)*(-f - 3 + 3) + 2*f**3 - 2*f**3 - f**3 + 4*f**3 + 3*f**3 - 6*f**3 - f + f + f**3)*(-19*f + 429 - 429).\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10512*d**2 + 21017*d**2 - 10508*d**2 - 2 - 62*d to b*d**2 + k*d + w and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 8*k**2 - 7*k + 2. Let n be l(-7). Let q be (-15)\/(-3) + -1*1. Suppose -2*d = n - q. What is the least common multiple of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*s**3 + 10*s**3 + s**2 - 64*s + 2*s**3 to j*s**2 + f*s + l*s**3 + a and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46)\/(-6) + 3*(-2)\/(-18). Let t = -101 + 96. Let j be ((-7)\/(-14))\/(1 + (-15)\/12). What is the smallest value in t, s, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 1773*r\/2 + 25018.\nAnswer: -(r - 3574)*(r + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, 4, 1, 3, 5.\nAnswer: -136, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f - 0. Suppose 3*t = -2*t + 100. Suppose -t*i - 8 = -22*i. Solve 5 = -2*l + 5*c, 0*l + f = i*l + 3*c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 8:44 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 349548 + -168548. Round c to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -1145, -1821, -2555, -3347, -4197, -5105?\nAnswer: -6071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 + 9*q**2 + q + 9. Let s(r) = 3*r**3 - 7*r**2 - r - 7. Let j(x) = 4*n(x) + 5*s(x). What is j(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3011961874 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a week?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 16 = -37*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1 - 2 - 3*i + 3 + 4*i - i**3. Let w be a(0). Suppose -23 = -w*d + 5*c, -5*d + 2*c + 18 = -71. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11936*c + 903228 - 8028 = 0 for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 75\/(-7) - (-6)\/(-21). Let p = 5 + -28. Let k = f - p. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k\/k**0*k)*k)**(-29)*(k**2)**(-9) assuming k is positive.\nAnswer: k**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65339 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2441131 - 4?\nAnswer: 2441122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19995.4 and 1689.\nAnswer: 33772230.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34092*t**3*z - 855*t**3 - 22*t with respect to z.\nAnswer: -34092*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 820 divide 2953017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4320 (base 5) to base 16\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-24 + 17 - (-1 - 17)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/2)\/(1\/(-5)). Let d = 1 - 2. Let m = -0.4 - -0.9. What is the nearest to 2\/3 in d, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*r = c - 6, 51 = 4*c + 5*r. Suppose 0 = -2*l - 7*d + c*d + 8738, 12 = 3*d. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212759 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -37291, -2\/3, -3, 0.11, -0.3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.21 (b) -932 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -351*l + 1882*l + 1109*l - 649*l + 644*l + 306 wrt l?\nAnswer: 2635","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013980 is divided by 5255?\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 7)*(2 + o - 2) + 119*o - 58*o + 36*o.\nAnswer: 99*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237533 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1539 - 1577. Suppose 4*o + 129 + 107 = 0. Let g = h - o. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3838273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.34*-1.77\nAnswer: 0.6018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39441\/1610 - 2\/805. Let c be (-52)\/(-10) + (-7)\/35. What is the common denominator of (34\/5)\/((-7)\/c) and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1355*a - 5236. What is the least common multiple of n(-4) and 92?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22.1, 14.8, -27, -2\/5.\nAnswer: -27, -22.1, -2\/5, 14.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, 1.07, 3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36469 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: What is prob of picking 2 l and 1 s when three letters picked without replacement from sssesslslsllee?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 25*v**2 - 54*v + 8. What is the tens digit of x(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -0.0214?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**3 - 10*r**2 + r - 2. Let g(o) = 9*o**3 - 18*o**2 + 2*o - 4. Let l(a) = -6*g(a) + 11*q(a). Solve l(i) = 0 for i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 1. Calculate the remainder when (0 + 31)\/((-40)\/(-40)) is divided by f(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u + 2. Let r be z(-2). Suppose y + 4 + 1 = d, r = 3*d. Let v be (-4 + 3)*y*3. Solve k = l + 3*k - 5, v*k - 5 = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 405\/32010*1\/((-3)\/(-9)) and -79\/388.\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*l + 220 = -422*l. Calculate the smallest common multiple of 88 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/69 + 1198\/1878. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 4)*(-5 + 98\/21). Solve 8*o - 20*o - 48 = s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 19. Solve -10 = -0*c - f*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 216920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 97*l**6\/15 - 592*l**3\/3 - 2*l**2 + 450*l. Find the first derivative of z(a) wrt a.\nAnswer: 2328*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -2*v**2 - 2 + 0*v**4 + 23\/20*v**5 + 16*v + 0*v**3. What is the first derivative of g(s) wrt s?\nAnswer: 69*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 + -207. Let q(l) = 2*l + 16. Let d(i) = 5*i + 33. Let x(h) = -6*d(h) + 14*q(h). What is the remainder when 12 is divided by x(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (-1 + sqrt(128)))**2*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5592 + -5592.23. Which is the second smallest value? (a) t (b) -0.4 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600259, -1200513, -1800769, -2401027, -3001287, -3601549?\nAnswer: -4201813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10}. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89 + -3746?\nAnswer: -3835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30115167.\nAnswer: 3, 31, 323819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -320 + 316. Sort -1\/5, -1\/7, s in decreasing order.\nAnswer: -1\/7, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 - (6 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 43 - (847 + -857)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1784 + -9147\/5. Suppose 90 = -2*u - 11*d + 6*d, 0 = -5*u - d - 225. Which is bigger: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-6) - (424\/48)\/53. What is the smallest value in u, -0.3, 350?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.354 + -5.377428. Round c to 4 decimal places.\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80337 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/41? (a) -11 (b) 1\/4 (c) -0.3 (d) 492\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, w: 2, y: 1, b: 2, z: 1}. What is prob of picking 1 n and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6880 - 2794*g**2 + 6880.\nAnswer: -2794*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -6. Let p = 9 - n. What is the greatest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114310.\nAnswer: 2, 5, 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110001001010001 (base 2) to base 16.\nAnswer: -1e251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 11) to base 3.\nAnswer: -12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 32*v**2 + 16*v - 91. What is the tens digit of k(32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 126, 93, 0, -183, -486, -939, -1572, -2415?\n\"Answer: -5*l**3 + 2*l + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 159 = -48. Let a(n) = 8*n**2 + 3*n + 2. Let x be a(-3). Let g = q - x. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 146\/27, 4, -2\/7, -0.2, 5?\nAnswer: 146\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 87, 202, 401, 690, 1075, 1562?\n\"Answer: g**3 + 36*g**2 + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 2*v**3 + 4*v**3 - 2*v - 3*v.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 0.3815, -15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29891 + -5259. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 320462 - 0?\nAnswer: 320462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1398*r**4 + 1287*r**4 + 1104*r**4 - 406*r**4 - 929 with respect to r.\nAnswer: 13532*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412842737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.19401, -35, 1\/5?\nAnswer: -0.19401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -69*p**3 + 3*p**2 + 34*p - 3028. Let z(v) = -136*v**3 + 5*v**2 + 70*v - 6055. Let f(d) = 5*h(d) - 3*z(d). Find the first derivative of f(l) wrt l.\nAnswer: 189*l**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 9*r**2 + 15*r - 2. Let c be a(7). Suppose -f + 5*y = 2*f - 38, 3*f - 2*y - 53 = 0. Solve -c*x + 5*n + 1 = f, 2*x - 4*n + 18 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1 - (-218)\/(-32) and (-49)\/2 + (-1)\/(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102 - 1212020?\nAnswer: -1202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 2. Let a be r(6). Suppose -5*u - 4*d + 35 = 0, -a*u + 36 = 2*d + 2. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0955 to 3 dps.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.26 + 4.36. Let v = 2.9 - -1.1. Let g = v - b. What is the nearest to g in 2\/11, 2, 2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1510 - 1089. Solve -415 = -3*c - s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 65 = 3*m. Let q = -16 + m. Suppose 9 = 3*o, 3*k + 5*o - 39 = o. What is the remainder when k is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 1 = 9*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8851.438cm?\nAnswer: 0.08851438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*g**3*l**2*n**3 - 2*g**3*l**2*n - 293*g**3*l*n**3 - 232*g**2*l*n + 24*g*l**2*n**2 wrt n?\nAnswer: 378*g**3*l**2 - 1758*g**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11827011 is divided by 451?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from hrrrhrdgddrrgrdrd?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/13)\/(((-9690)\/76)\/85)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1000101100 (base 2) to base 5\nAnswer: 4211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -26.1502?\nAnswer: 23.1502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t - t = 35784. Is -1492 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 6*t + 3*t)*(538 - 20 + 16).\nAnswer: 534*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 97\/2 + -1 + 3\/6. Let b = m + -51. Calculate the common denominator of 4\/11 and (3 + (-276)\/93)\/(b\/15).\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, i: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a - 6*d + d, 3*a - 4*d = 1. Let o = a - -29. Suppose -18 = -3*x + 2*x. What is the greatest common divisor of o and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3 + 3. Let a be ((-4)\/75)\/(r\/(-5)). What is the nearest to 0.3 in a, -0.2, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 38. Let s be -1*x - (-14 + 7). Differentiate 4*o**3 + 21 - 1137*o**4 + 1143*o**s - 4*o**3 wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h - 5. Let j be m(-4). Suppose 5*t - 946 = 974. Suppose -4*c = -j*x + 581, 0*c = -2*x + c + t. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1038557\/3 < -346185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2250 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3025 = 5*u - 0*u, -3*n = 4*u - 2413. What are the prime factors of u?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g**2 + 142*g - 102 = 0. Calculate g.\nAnswer: 3\/4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 376 = i, -4*i - 1898 = -9*i + w. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3528*i**2 - 632*i + 632*i.\nAnswer: 3528*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-2)\/(-6)*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeyyeeyeyyyyyeeeeyu. What is prob of sequence eyu?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**3 + g + 27*g**3 - 31*g**3 - 7*g**3.\nAnswer: -33*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -30, -69, -122?\n\"Answer: -7*n**2 - 4*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b90 (base 15) to base 14.\nAnswer: -168b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**5\/5 + 16*s**4\/5 - 29*s**3\/5 + 14*s**2\/5 = 0. Calculate s.\nAnswer: 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 307, 610, 913?\n\"Answer: 303*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3401 - -62388. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 542142 and 0.058.\nAnswer: 542142.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62833 to the power of 1\/2, to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.37 to 0 dps.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 898257 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 + 12760*t + 25504.\nAnswer: 4*(t + 2)*(t + 3188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 341b (base 12) to base 8\nAnswer: 13227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 12*q**2 - 5*q**2.\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*s = -187*s + 7777. What are the prime factors of s?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 2*q**2 - 3*q - 6. Let w be g(-2). Suppose 8*m - 10 = 3*m. Suppose -p + 3*d + 6 = m*d, 2*d = -2*p - 8. Sort w, p, 7.\nAnswer: w, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-17 + -4 - (-15 + 10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922321 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8964577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12*2\/(4\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3 = -3*a, 3*a - 9*m = -13*m - 15. Put 142, -2, a in increasing order.\nAnswer: -2, a, 142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.0947, -3, 1\/5, 1.1, 235, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 10*t**4 - 26*t**4 + 15*t**4 + t - t**2 to h*t**2 + f*t + j + n*t**3 + z*t**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(567) + 4 + -3 + -1)**2.\nAnswer: 90*sqrt(7) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -776 + 777. Which is the closest to y? (a) -4 (b) -1\/4 (c) 2\/5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.419 and 132.24.\nAnswer: -319.88856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-12) - -2)\/(-1 + 51\/(-9)). Which is greater: 2\/17 or u?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3)*-2 + (sqrt(3) - sqrt(15)\/sqrt(5)) + -5 + (sqrt(120)\/sqrt(10) + -3)*6 + -2)**2*4.\nAnswer: -2160*sqrt(3) + 4116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 432 divided by -432\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o + 104 = 4*k, 0 = 4*k + 3*o - 96. What is the smallest common multiple of k and 75?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 110180202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*r**2 + 1 + 18*r - 18*r + (-4*r - 6*r + 4*r)*(-3*r + r + 4*r).\nAnswer: -21*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -20*a**2 - 134*a - 68. Let o(l) = 7*l**2 + 45*l + 23. Let z(j) = -14*o(j) - 5*r(j). Calculate the smallest common multiple of 24 and z(-20).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -101661, -406641, -914941, -1626561, -2541501?\n\"Answer: -101660*s**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 7*j + 64. Suppose -4*v + j = -16. Suppose 0 = 6*z - v + 2. Solve 3*a = -2*x - z, 5*x - a - 7 + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 6, t: 2, y: 1, k: 3, q: 4}. Give prob of picking 1 y and 3 g.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)*z*z)**(-37))**(2\/11) assuming z is positive.\nAnswer: z**(-888\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 0*o**4 - 167*o + 0 - 103\/10*o**5 - 1\/2*o**3 + 11*o**2. Find the second derivative of h(z) wrt z.\nAnswer: -1236*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/41272 and 61\/19698.\nAnswer: 866712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -98*d**5\/5 - 17*d**4\/4 - 17*d**2\/2 - 27*d - 5529. Find the second derivative of p(t) wrt t.\nAnswer: -1176*t**2 - 102*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 684 = k - 351, 3*h = -2*k + 522. Solve 0 = -20*q - h + 32 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 > -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 + 5*g**3 - 5*g**3 + 6*g**3 - 12*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 7:34 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*r + 43 = 8*d, 5*d - 104 = -4*r. Suppose -41*t = -45*t + d. Suppose 5*n + 2*c = 1519, t*c = 4*n - 2*n - 596. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 9, -0.5, 2, -5.7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 35 = -4*o - 24, -3*k = 3*o + 3. Suppose 37 = 3*x - 5*n, 22 = 2*x - 0*x - o*n. Calculate the remainder when 103 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35708.3 to the nearest 100.\nAnswer: -35700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -8 - -9 - -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*v**2 + 79*g**4*v - 5*g*v**2 + 13*g*v + 2*g wrt g?\nAnswer: 12*g**2*v**2 + 948*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:38 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -22, -13, 16, 71, 158, 283, 452?\nAnswer: 671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 + -36. Suppose 472 = -6*j - m. Let n = j - -233. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -8. Let g = -4 + q. Let a(h) = h**2 - h - 4. What is the tens digit of a(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 2:07 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -21, -2, 12, 7888 in ascending order.\nAnswer: -21, -4, -2, 12, 7888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + 3 + sqrt(4)\/sqrt(2)))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25904729 to the power of 1\/3, to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*-4*36\/(-24)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -380)\/2 + 1 + 0. Calculate the highest common divisor of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 6:48 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/5)\/n)\/n*n*n**5)**(-9)\/((n**2\/n)**(6\/7))**(2\/31) assuming n is positive.\nAnswer: n**(-31308\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 5)*(-2*m**2 + 4*m**2 - m**2) + 0*m**2 + 4*m**2 - 3*m**2)*(1073*m**2 + 21*m**3 + 15*m**3 - 34*m**3 - 2).\nAnswer: 6*m**5 + 3219*m**4 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(2) + sqrt(10)\/(1*sqrt(5) + sqrt(5))) - (2 + (sqrt(7) + 6*sqrt(7)*-2)**2)) + 6*(sqrt(49)\/(-2*sqrt(7)) + sqrt(77)\/(4*sqrt(11))).\nAnswer: -849 - 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30199356 is divided by 3355482?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 22*v + 35. Let w = 143 + -84. Suppose 4*i - 25 = w. Is 7 a factor of x(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 22*c**6\/15 + 11*c**4\/4 + 18*c + 26. Let v(g) be the first derivative of n(g). Find the third derivative of v(y) wrt y.\nAnswer: 1056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**4*y - 315490*h**2*y - 1877*y - 70 with respect to h.\nAnswer: -8*h**3*y - 630980*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a)*(8*a + 0*a + 0*a).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 3*n**2 + 3 - 4*n**2.\nAnswer: -4*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21235414 is divided by 732255?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-8)\/(-10))*(-70)\/(-175).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833) + 1 + 2 + -1.\nAnswer: 2 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -3.9. Let i = 0.2 + l. Let s = 4 + i. Is s >= 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 5*l + 2. Let b be k(6). Let x = -151 - -43. What is the remainder when (2\/3)\/(b\/x) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 3 + 2)*(14*q - 14*q - 2*q**2).\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 169*x + 2*x**3 + 0*x**3 + 3 + 4 - 103*x**2.\nAnswer: -2*x**3 - 103*x**2 + 169*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2, -1, 4\/7, -90?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 4. Let m be (2\/o)\/(7\/(-280)). Let l be (-6599998)\/5 + m\/40. What is l rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*1 - (-20)\/(-4). Let p(t) = -42*t**2 - t - 1. Let o be p(-1). Let d be (-1)\/w + (-708)\/o. Solve 5*g + 35 = -3*c + 8*c, g - d = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 times -6949?\nAnswer: 16677.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 321.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12\/15*(-385)\/(-66)*(-480)\/(-280)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -142 + 41. Let g = m - -101.4. Which is the closest to -1? (a) g (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1, 181, 3\/2, 2 in ascending order.\nAnswer: 1\/4, 1, 3\/2, 2, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2. Let h(q) be the third derivative of q**4\/3 - 16*q**2. Determine a(h(l)).\nAnswer: 384*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-15))\/(-4*10\/(-48)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 40 = g, -4*i - 2*g = 2957636 - 2957716 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -28.999977. What is j rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 + ((11 - (23 - 3)) + -10 - (11 - 21))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1319 - 15479 = -5*x. Let a be (x\/(-30))\/((-6)\/15). Suppose 0*t = 4*i + t - a, 0 = -i + 4*t + 42. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*r - 2. Let o be r\/3 - (-2)\/3. What is the units digit of o + (-2 - (-6)\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 - 348712*b**3 + 50133840*b**2 - 196350944*b + 194956160 = 0. What is b?\nAnswer: 2, 140, 87034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-15)\/(-8)*4). Let v*t**4 + 2\/5*t**2 + 0*t + 0 + 4\/5*t**3 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1066 divided by -82.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174\/221 - 16\/17. Which is smaller: 1\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2137*g**2 + 2125*g wrt g.\nAnswer: 4274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2289 and 11699842?\nAnswer: 35099526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3774384*n**2. Let v(u) = -u. What is r(v(y))?\nAnswer: -3774384*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 279689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1589678907.\nAnswer: 3, 529892969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 1\/4 (c) 10 (d) 4.5 (e) -3\/4 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f = -343 + 133 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -35639717\/6 greater than -5939954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2947956390 and 6795.\nAnswer: 6795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5911027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i = 82*i - 23*i - 376 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11072 + -11070. Sort 3393, v, 1.\nAnswer: 1, v, 3393","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-20))\/((-7)\/(-14)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6952 divided by 316?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 459 + -417. Are 48 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 4*w**2 - 5*w - 1. Let k be j(5). Suppose -5*z = 2*n, 7 = z - 4*n - 15. Let v be (z\/6)\/(7\/(-9)). Which is smaller: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 271*i**7\/42 - i**6\/60 - 2*i**5\/5 - 178*i**2. What is the third derivative of d(f) wrt f?\nAnswer: 32520*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1454043 (base 6) to base 7\nAnswer: 503124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 60. Let x be -1 + 0 - (2 + (-2 - 1)). Let q be y(x). Which is smaller: q or 61?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29086 is divided by 202?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 2*f - 26. Let q be a(5). Let y(j) = j - 1. Suppose -3 = z - 9. Let d be y(z). Solve d*c + q = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4888 - 4874. Solve 4*h + 4*t - 7 = h, -4*h = 3*t - s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 12) to base 16.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7864433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 42538*c = -42558*c - 110, 2*j + 19 = j - 4*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, 4, 3, -1\/3, 369 in ascending order.\nAnswer: -1\/3, -0.2, 0.5, 3, 4, 369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*f**2 + 265*f**2 + 2*f - 89 - 2*f**3 - 43 - 33*f**2.\nAnswer: -2*(f - 66)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10712 divided by -52.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3146 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 9) to base 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1770 + 1827. Calculate the remainder when 225 is divided by r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 5*y + 4. Let a be u(-5). Suppose -a = -3*r + r. Suppose 26*i + r = 24*i. Which is greater: i or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-4 - 23\/(-5)). Which is the third biggest value? (a) -3 (b) o (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Let q(p) = 76*p - 140*p + 76*p. Determine q(o) + 15*v(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**4 + 2*m**4 - 3*m**4 - 3*m + m**3 + 0*m**4 in the form b*m**4 + x*m**2 + y*m**3 + f + z*m and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (98\/343)\/(6\/(-28))*((-468)\/184)\/(-13)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {p: 2, i: 2, b: 1, v: 1, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26906419?\nAnswer: 31, 47, 59, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 27 = -2*z + 15, -3*c = -5*z + 87. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809687 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321352.\nAnswer: 2, 40169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3580 by -20.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -162, -6\/11801, 3?\nAnswer: -6\/11801","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 299 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 28 + 0 = 0. Let l = u - -59. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-122 - 653 + 303 - 369)*(h**3 + 2*h**3 + h**3).\nAnswer: -3364*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((15\/(-6))\/5)\/(-13 + (-300)\/(-40)). Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, d: 2}. What is prob of picking 2 i?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4388492?\nAnswer: 2, 23, 47701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 1. Let x(a) = -a. Suppose 2*f = -q + 5, 2*q - 4*q - f + 4 = 0. Let o(h) = q*x(h) - 3*i(h). What is the units digit of o(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from {b: 4, q: 3, e: 1, z: 6}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 747.8471 nanometers?\nAnswer: 0.0000007478471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3401184340.1 - -9.13.\nAnswer: -3401184330.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 1\/61, -2\/13, -7\/9?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 3)*1\/(-2). Let k be (-3)\/(-5)*(6 - x). Suppose -c = -k*n - 0*n - 100, 4*n - 405 = -5*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4866\/14 - 15\/(-35)) + 0 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3659401 - 2*u**2 + 3659401 + 24*u**3 - 79*u as l*u**2 + p*u**3 + j*u + d and give j.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-2\/5))**35)**(-35))**(-14\/3))**26 assuming t is positive.\nAnswer: t**(-178360\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -487, -540, -615, -712?\nAnswer: -831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/407820 and 83\/378.\nAnswer: 3670380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n = 52*n + 3. Solve 0 = -m + 2*r + 13, 3*m + r - n = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 13*s**2 - 12*s + 18. Let r be u(14). Suppose -5*d + 254 = -1. Let f = d - r. Solve 0*i + f*j = 4*i + 11, 4*j = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (81\/15 - 5) + (-26)\/130. Which is the closest to 1? (a) x (b) -2 (c) 47\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Suppose -j*p - 5 = 2*y + 5, 4*p + 2*y = -16. Let r = p - -20. Solve -5*b + x - r = 0, 2 = -2*b - x - 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -13*(-2)\/(-4)*(16 - 20). Find the first derivative of -d*i**2 + 14 + 5 + 25*i**2 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 5 - 7*g + (2 - 1 - 3)*(-g - 1 + 1))*(-91 + 91 - 32*g) to the form z + m*g**2 + l*g and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 9) in base 10?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003827811022 rounded to seven decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/2 - (-13)\/1. Let k be (-30826)\/(-22) - u\/55. Let m be k\/(-2) + 2 - (-9)\/(-6). What is m rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a6 - 4?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5907*a + 5896. Let f(c) = -5909*c + 5866. Let w(d) = -2*f(d) + 3*n(d). What is the derivative of w(j) wrt j?\nAnswer: -5903","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 55 = 4*j. Suppose -j*s = -1697 - 1238. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 9. Let g be x(8). Let v(m) = 3*m. Suppose -19*j + 144 = -293. Let t(f) = j*f - 6*f - 8*f - 10*f. What is g*v(o) - 2*t(o)?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 1, r: 6, i: 6, w: 5}. Give prob of picking 1 r and 3 i.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1158 + -691. Suppose 2*h - 797 = -4*j - 339, 5*h = -4*j + c. List the prime factors of j.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 177*c - 170. Give o(2).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**5\/10 - 301*q**4\/24 + 1075*q**3\/2 - 115*q**2 + 5. Differentiate h(k) wrt k.\nAnswer: -12*k - 301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 0 - 1*1\/(-1). Let n(f) be the second derivative of -3\/2*f**2 + f**3 - 1\/4*f**4 + 0 - b*f. Factor n(t).\nAnswer: -3*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v - 2 - 3 - 4*v**2 + v + v**2. Let h(a) = 6*a**2 + 7*a + 11. Calculate -9*g(j) - 4*h(j).\nAnswer: 3*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(15) - (sqrt(540) - ((sqrt(540) - sqrt(540)*-6) + sqrt(540) + sqrt(540))))\/((5*sqrt(5) - sqrt(5))*-1).\nAnswer: -49*sqrt(3)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*v - 75 = -115, 35 = 5*l + 2*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20620 and 1674344?\nAnswer: 8371720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)*f)**(-30) assuming f is positive.\nAnswer: f**300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -41. Put -1, -3, 4, d in descending order.\nAnswer: d, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((((w*(w**(-2\/3)*w)\/w)\/w*w)\/w)\/w)*w*w*w*w*w**(-3\/4)*w*w*w*(w*w\/(w\/(w*w**(-5\/6)*w)))\/w*w**(-1) assuming w is positive.\nAnswer: w**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 762 and 9426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.524045 kilograms in tonnes?\nAnswer: 0.002524045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h + 2. Let q(j) = 7*j - 18*j + 14 + j**2 - j**3 - 14*j**2. Let m be q(-12). Let i be z(m). What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 + 4*s**2 - 9*s**2 to w*s**2 + z*s + v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emmmctmtnnzzem. What is prob of picking 1 n, 1 m, and 2 e?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2172992.1 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/5827620 and -7\/34965720?\nAnswer: 34965720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153335 is divided by 58.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5039648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - 6. Let z = 0 + g. Let a be 0\/(3 - (4 - 2)). Solve -4*u - 3*n - 9 = z, -5*u + 3*n - 15 = a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-942.4\nAnswer: -376.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0)**(-40))**33\/(w**0\/(w**(-5)*w*w)*w**(3\/5)*w**(-3)*w*w) assuming w is positive.\nAnswer: w**(-6613\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 4 (b) 2 (c) 1\/4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 10}. Give prob of sequence uc.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 - 3*u**2 - 3*u**2. Let c(j) = -9*j. Give c(r(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y + 44*y = -10, 4*g = -4*y - 28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 987 is divided by 54.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5.4. Let r = -443\/2 - -222. What is the closest to r in -5, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*k = -37, -4*i + 662*k + 40 = 657*k. Let u(f) = -f - 14. Let p(j) = -j - 15. Determine i*p(h) - 6*u(h).\nAnswer: h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/23 (b) 1 (c) -3\/5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2275 and 15600.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o - 39. Let t be w(-11). Suppose 5*n + t*l - 30 = 0, 2*n = l - 0*l + 3. Suppose -n*g + 20 - 35 = 0. Put -3, 1, g in increasing order.\nAnswer: g, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 11:16 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiixxxxixxixxx. Give prob of picking 4 i.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37023591?\nAnswer: 3, 11, 599, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 31*o - 23001. Determine v(-137).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 191 = 27*y, 447545*k + 45 = 447540*k - 5*y for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-14)\/4)\/((-6)\/60). Let u = -9 - -9. Put 2\/3, j, u in decreasing order.\nAnswer: j, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -5112213?\nAnswer: 5112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 53 + 13 + 21 - 7 - 41*i.\nAnswer: -41*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 8. Which is the third smallest value? (a) -0.2 (b) y (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 e when four letters picked without replacement from {h: 2, i: 1, f: 1, l: 3, e: 4, s: 1}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59830.48mg in grams?\nAnswer: 59.83048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400776 is divided by 89?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 + 2. Let v(r) = 4*r. Calculate b(v(m)).\nAnswer: 112*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 554, 536, 484, 380, 206?\n\"Answer: -3*h**3 + h**2 + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 5226?\nAnswer: 5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1654532694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 14*o - 3*o)*(-3 + 3 + o**4) - 2*o**2 + 2*o**2 + 2*o**5.\nAnswer: 11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.8 + 0.2. Let p = 194689.0004 - 194648. Let h = p - r. What is h rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1236\/1439 or -1?\nAnswer: -1236\/1439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) -16 (c) 5 (d) 0.19 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2083 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 3*v**2 + 5*v + 2. Suppose -4*d = 3*f - 37, 2*f = 3*d + f - 44. Suppose 0 = d*n - 2*n + 33. Determine t(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(77)\/((-2*sqrt(77))\/sqrt(11)) + 4 + sqrt(11) + 0 + -3))**2.\nAnswer: 16*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65293830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138516036?\nAnswer: 2, 3, 1427, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 407340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2. Let k(x) = -2656*x**2. Determine q(k(l)).\nAnswer: 28217344*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5. Let n = 2 + 3. What is the nearest to x in -4, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let o be (-5)\/(-2) + (-2)\/4. Let g be w(o). Suppose 3*c - 110 = -g*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/9 + 2450*y\/9 + 4924\/3 = 0. What is y?\nAnswer: -6, 1231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3939 + -3927 + (1 + -30 - (-4 - -4))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2375861 + -9?\nAnswer: -2375870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/12 - 2*x**2. Let q be m(-1). Suppose 100 = -3*l + 5*j + 337, 316 = 4*l + q*j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fqqqfqfqqqqffqfqfqq.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - a**2 - a + 1. Let z(m) = -3*m**3 - 3*m**2 + 5*m + 4. Let t(o) = 4*j(o) + z(o). Give t(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8661 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1212570116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 6*x**2 + 7*x + 8. Calculate the remainder when 22 is divided by b(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = 2. Let n = 115 + -102.8. Let k = n + -12. What is the nearest to t in -0.2, k, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0158 (b) 4\/7 (c) -1\/6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 5*y**2 + 2*y + 5. Let v(a) be the first derivative of a**4\/2 + 4*a**3\/3 + a**2\/2 + 4*a + 27. Determine -4*k(q) + 5*v(q).\nAnswer: 2*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o**3 - 87*o**2 - 49*o - 597. List the prime factors of a(-25).\nAnswer: 3, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/31790*11)\/(2\/10).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 364789.\nAnswer: -192\/364789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4587880.\nAnswer: 2, 5, 11, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186\/15)\/(286\/(-715))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(0 + -1) + (-3424)\/(-112) + -25. Factor -4\/7*p**3 + k*p - 2\/7*p**4 + 0 + 2\/7*p**2.\nAnswer: -2*p*(p - 1)*(p + 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 20*b - 16 - 13 to the form a + v*b and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 14*k + 64 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40409 = -2*x + d, 5*d = d - 4. Suppose 2*q - x = -2*m, -m = -2*q - 0*m + 20198. Round q to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 435 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8258?\nAnswer: 2, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 12224052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*w = 5*r - 142, 2*r + 68 = 2*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 110341, 220671, 330991, 441301, 551601, 661891, 772171?\n\"Answer: -5*a**2 + 110345*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 272 - 264. Solve 2*h + u = 4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)\/h*(h\/h**(-2\/3))\/h*(h\/h**(1\/3))**(3\/11) assuming h is positive.\nAnswer: h**(-71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10329919 - 0.3?\nAnswer: -10329919.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2955 = 106*t + 4439 - 2756 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-two fifths of a hour?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 58 + 54. Let s(d) = 443*d - 2 - b + 0 - 3. Is s(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 58.75, 6, 1, -304?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/((f\/f**(-1\/2))\/f)))\/(f*f**8*f*f*f))\/(((f**(-2\/3)*f)\/f)\/f*f*f)**46)\/((f\/((f\/f**(-2\/3)*f)\/f))**44)**(-3) assuming f is positive.\nAnswer: f**(-695\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.345904 - -18.9459. Let q = 2 - 1.6. Let o = q + l. Round o to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/10 and 13\/58289?\nAnswer: 582890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 46, 208, 530, 1066?\nAnswer: 1870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111987.\nAnswer: 3, 23, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24731, 49433, 74073, 98621, 123047, 147321, 171413, 195293?\nAnswer: 218931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11903*g**2 - 12935*g + 8. Let l(t) = -35706*t**2 - 38808*t + 28. Let c(u) = 2*l(u) - 7*z(u). Find the second derivative of c(a) wrt a.\nAnswer: 23818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3816 - 3807. Let k(a) = -6*a + 12. Give k(y).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 5*r + 4. Let l be j(4). Suppose v - 3*z - 1 = l, -v - 5*z = -3*v. Which is the second biggest value? (a) -0.5 (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -577\/475960 or 0?\nAnswer: -577\/475960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/54 + 2*v**3\/27 - v**2\/9 - 4*v. Factor b(a).\nAnswer: -2*(a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1354 by 53.\nAnswer: 1354\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2417962.\nAnswer: 2, 29, 47, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 15) to base 5.\nAnswer: 3302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -322*c + 3916. Give r(12).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from qqqqjqqjqqjqjqqj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*o - 20 = 95*o. Solve 26 - o = -8*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*g - 15, -13 - 12 = -5*o - 3*g. Let z = 10 - 6. Suppose 5*r = -z*c - 14 - 6, -r + 3*c = 4. Sort 6, o, r in descending order.\nAnswer: 6, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 5049*a - 30215. Give y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*q + 10*x - 14*x, q - 4*x = -12. Let l be (2\/4)\/((-1)\/(-30)). Let m(i) = 2*i + q*i**2 + l + 16 - 32. Determine m(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11118623 is divided by 290.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 40?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 471144 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: -200537 * 0.2\nAnswer: -40107.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -145, -309, -539, -835, -1197, -1625?\nAnswer: -2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v + 0*v - v)*(-2 + v + 2)*(3*v**2 + 2*v**2 - 12*v**2)*(-3 - 2 + 3) to the form j*v**2 + y*v**3 + p*v + c*v**4 + q and give c.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-9\/7)))**18 assuming z is positive.\nAnswer: z**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 761.4015 millilitres in litres?\nAnswer: 0.7614015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j - 1. Let s be h(-2). Let d = s + -17. Let w = 11 + d. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 20. Let r be (((-400)\/6)\/(-10))\/(2\/f). Let d = -19 - r. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 52. Let z be (15\/(-9))\/(-5)*3\/1. Let m be i + (z - 3)*(-7)\/(-14). Solve m = -4*y - j + 3*j, -y = -4*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*y + 27 = 0, -2*w - 3*y + 10 = -5. Calculate the remainder when w is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + t = -t - 112, -3*t = 4*o - 108. Let b = o + -17. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 52?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76646 at most -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -j + 3*j. Suppose t + j = 1. Let q(k) = k**2 + 2*k + 6. Is 12 a factor of q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3268*w = -62730 + 160838 + 94704 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25.3017 + 5.6\nAnswer: -19.7017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**2. Let a(i) be the third derivative of -11*i**5\/30 - i**4\/8 - 147*i**2. Let d(l) = -24*l**2 - 4*l. Let u(z) = 4*a(z) - 3*d(z). Give u(q(h)).\nAnswer: -400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10156, -10154, -10152, -10150, -10148, -10146?\n\"Answer: 2*c - 10158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 18*v - 552. Solve 15 = 18*b - v*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1216*u**4 - 48*u**3 - 11720. Let b(n) = 128*n**4 - 5*n**3 - 1234. Let j(v) = 5*a(v) - 48*b(v). What is the first derivative of j(p) wrt p?\nAnswer: -256*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6066 and -5273 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + 3*q + (0*q - 2*q + 0*q)*(1 + 5 - 4) - q + 2 - 2 + 0*q - q - q)*(3*q**3 - 6*q**3 + 0*q**3)*(2*q - 17 + 17)*(0 - 3 - 1).\nAnswer: -96*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(38)\/sqrt(2)*-1 + -4) + 5*(3 + sqrt(1216)*2))**2.\nAnswer: 1092*sqrt(19) + 115645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s. Let i be 22\/(-18) + s + 1. Let w = -24963\/70 - -3569\/10. Sort w, i, 2\/15 in descending order.\nAnswer: w, 2\/15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from auuhxxyauddduxuuuua. What is prob of picking 1 h and 1 u?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (6 + (-4 - 18) - -23) + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4164892032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*p - 24. Suppose 4*v = 3*v + p. Find the third derivative of -10*y**v + 10*y**4 - 4*y**2 + y**4 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-423)\/36 + 5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**5\/5 + 7*g**2. Let s(f) be the first derivative of 4*f**2 - 766. Calculate s(b(i)).\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 6:15 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900812953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 21 + -18 + (2 - 24).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -10. Let c = x - 15. Let u = c + 13. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 - -164. Let q = 0.389 - -0.011. Which is the biggest value? (a) 3\/5 (b) i (c) q (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 5:49 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005478065107 to 6 decimal places.\nAnswer: 0.005478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -314 + -354?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 50, 128, 244, 404?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 21. Let c be r(-8). Find the third derivative of 82*s**c - 115*s**5 + 68*s**5 + 37*s**2 wrt s.\nAnswer: 2100*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.29 times -0.04?\nAnswer: -2.7316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - t + 0)*(t - 2*t + 0*t) + 11*t**2 + 13*t**2 - 3*t**2 + 39*t - 9*t**2 - 39*t.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265 and 28340690.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-2)\/27)\/((-6)\/(-18))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18, -65, -149, 2, 1 in decreasing order.\nAnswer: 18, 4, 2, 1, -65, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56\/61 + -4770\/5063. Let y = 7\/69 - 10\/23. Is y smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*n - 6 = -y, 3*n = -5*y - 2. Let q(p) = -3 + 3 - 21*p**3 - p**2. Does 12 divide q(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 9*i - 236505 = -3*i. List the prime factors of i.\nAnswer: 3, 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aasa. What is prob of sequence asaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11216704*h**3*m**2 - 21*h**3 - 54536*h**2*m wrt m?\nAnswer: -22433408*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 8 + 22 = 0. Suppose 16 = 3*c + 4*p, 26 + 0 = 2*c - 5*p. Let m = c + -6. What is the highest common divisor of i and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 377488902299769 and 0.3.\nAnswer: 377488902299769.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 62 - (4 + 2 + -12 - (-4 + 6))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 288 + -282. Suppose -8742 = -37*d + u*d. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 171. Let g = c - -164. Calculate the remainder when g is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10557.0957 - 0.0957. Let q = i - 10556.969946. Let a = 0.03 - q. What is a rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 - 5 - 3*p**3 + 1 - 12*p**2 + 5 + 2*p to the form y*p**2 + i*p**4 + m + b*p + j*p**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 - 59*n**5 - 5 + 6 + 21*n**5 + 10*n wrt n?\nAnswer: -760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 3*g - 2)*((1 + 24 + 0)*(-8 + 13 - 2) + 0 + 2 - 4 + (1 + 2 - 1)*(0 - 1 + 2)) + 2*g + 0*g - 3*g to u + k*g and give u.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-5) + 12\/(-15). Let z be (-2267)\/7 + (4\/28)\/v. Let o = z - -110. Round o to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 70039055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95.154 + 94.2. Let r = j - 0.046. Suppose 4*i - k + 4 = 0, -2*i + k - 4 = 3*i. Which is the nearest to r? (a) 2\/17 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*i**2\/4 + 1161445*i\/2 - 5597330.\nAnswer: 5*(i + 42244)*(11*i - 106)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*27\/90)\/((-106)\/56 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2 = 4*n, -19*o + 15*o - 2*n = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*r - 3*g, -5*g - 40 = -2*r + 66. Put r, -87, -2 in decreasing order.\nAnswer: r, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1365*d**5 - 1092*d**2.\nAnswer: -81900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b - 6. What is the tens digit of v(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 58*n + 753. Suppose 3*f + 3*o + o = 36, -2*f = 4*o - 24. Calculate the remainder when j(19) is divided by 1\/2*(f - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-71)\/((-141)\/(-329)*(42\/(-9))\/2*1).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9150 + -9145.459. Let m = i - -0.459. Let z = -5.12 - -0.12. Which is the fourth biggest value? (a) m (b) z (c) 3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4202\/15 + 280. What is the nearest to 1\/4 in f, 3\/10, -2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -221102?\nAnswer: 221044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.842963303 - -320.843037803. Let l = -320 + u. Round l to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*w - 39, -5*j + 30 = -4*j + 5*w. Suppose 2*h = o + 7*h + j, 3*o - 5*h = 15. Is (o - 2) + (-55)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1460459?\nAnswer: 7, 11, 13, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2100 and 50610?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 17\/13483245?\nAnswer: 17\/13483245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 31*h**2 - 3*h + 3. Let z(a) = -31*a**2 + 2*a - 2. Let s = 6034 - 6031. Calculate s*z(w) + 2*i(w).\nAnswer: -31*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -942*c**2 + 468*c**2 + 475*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/40 + c**5\/60 + c**4\/8 + c**3\/6 - 8*c**2. What is the units digit of w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 1.7. What is the smallest value in 1\/2, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 1. Let b be y(1). Suppose l + 4*j = -5, 8 = 4*l - b*j + 5*j. Suppose -z + 4*c = 4*z - 124, -l*c = 3*z - 96. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 291114*j**5 - 3*j**4 + 2*j**3 - 5*j**2 - 21*j + 445 wrt j.\nAnswer: 17466840*j**2 - 72*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = w - 17, -3 = -2*w - 1. Solve 2*f + y - j = 1, 5*y = -f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -89987.\nAnswer: -89987.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64782660 and 50.\nAnswer: 323913300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 3 = 3*o. What is the least common multiple of 1 and (-2)\/((0 + -3)\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(4\/(4\/(-7))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2415*a*h**2 - 4*a - 25*h**3 + 2*h**2 - 65*h + 185 wrt h?\nAnswer: -4830*a - 150*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 50 = 5*w, -15*w + 35*w - 21*w = -f + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9208 divided by -1151.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23623 - 7783. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 86.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*12\/(360\/(-110)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 5*d**2 + 3*d - 7. Let j be g(5). Let q(y) = -y**2 - 3*y**2 + j*y**2 - 2*y**2. Let z(v) = -82*v. Calculate q(z(o)).\nAnswer: 13448*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - 4\/((-8)\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) -2 (b) -4 (c) -5\/9 (d) 0.07 (e) 1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2848.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - 0.3. Let x = z - -1.7. Which is the third smallest value? (a) -4 (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-60)\/(-975))\/((-6)\/(-78)*2). Which is the closest to 519? (a) m (b) 1 (c) -3 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*d**2 - 14*d**2 + 8*d**3 + 23*d**2 - 6*d to i*d**3 + l + w*d**2 + j*d and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-31)\/(-2) - 6). Let b(d) = d**3 + 19*d**2 - d - 1. Give b(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177358?\nAnswer: 2, 7, 13, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.9 (b) -9 (c) 16\/7 (d) -36\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 + 1. Let x be z(-1). Suppose -4*r + r + 69 = 0. Let y = -22 + r. Calculate the highest common factor of y and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -0.4 (c) 2\/23 (d) 1 (e) 4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 192 - 144. Sort 4, y, 0, 5.\nAnswer: 0, 4, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134355 by -2.\nAnswer: 134355\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3728 + -0.1151. Let x = 3.1787 - o. Let p = x + 0.079. Is p greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64414 >= -64411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*t + 272, 3*i + t = -4*t + 397. Suppose -3*m + 10*v = 5*v - 122, -3*m + i = v. What is m rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -j + 464, 0*l - 2*j - 107 = l. Let k be l\/45*5 - 2\/9. Let g = k + 37. Calculate the remainder when 44 is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 1 b when three letters picked without replacement from {w: 1, q: 1, m: 1, d: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 920.156507 and -6768.9.\nAnswer: -5848.743493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 10*p - 15 = 11*p, 0 = p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d - 6. Let v be w(4). Find the second derivative of -2*c**3 - c**4 - 2*c + v*c**3 wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0, -4, -258, -5 in ascending order.\nAnswer: -258, -5, -4, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 109100*l.\nAnswer: -4*l*(l - 27275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1704 + -2.17111105. What is u rounded to 6 dps?\nAnswer: -0.000711","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3917, -4076, -4235, -4394, -4553, -4712?\nAnswer: -4871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44853033 is divided by 696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u**2 - u**2 - 4*u**2)*(-5*u - 2*u + 4*u) - 42*u**2 + 42*u**2 + 4*u**3 - 2*u**3 + 3*u**3 + u**3 to the form o*u**2 + k*u**3 + m + n*u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -710 - -707. Let u(m) = 4*m**2 - m + 1. What is u(g)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 + 3. Let r(a) be the second derivative of a**5\/10 - 2*a**2 + a. Determine -2*r(c) - 3*y(c).\nAnswer: 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26546927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 512*k + 2481. Let g be y(-6). Which is smaller: -594 or g?\nAnswer: -594","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56708 + 56729. Suppose -2*v + 6 = -i - 8, -4*v - 4*i + 52 = 0. What is the greatest common factor of h and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - n - 14. Let m be x(0). Let y = -11 - m. Solve y = -2*t - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 12*r + 2. Let c be 140\/(-63) - (-4)\/18. Let m be (-2)\/((-10)\/6 - c). Let q be w(m). Solve -b - q*b = -d + 14, 2*b - d + 9 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -604.79 times -0.44\nAnswer: 266.1076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3373790?\nAnswer: 2, 5, 7, 48197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 37, -3, 7, -5 in ascending order.\nAnswer: -5, -3, 0, 1, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 452988 and 0.3.\nAnswer: 135896.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -73479889.2 to the nearest one million.\nAnswer: -73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 596.6 - 1\nAnswer: 595.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-14) + 969\/399. Let g(d) be the first derivative of 0*d**2 + 0*d**4 - 5 + 0*d + 3\/5*d**5 + 4\/3*d**q. What is the third derivative of g(m) wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.101 from 0.0095.\nAnswer: -0.0915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.74 - -1.26. Which is the second smallest value? (a) s (b) -1 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351559692.\nAnswer: 2, 3, 11, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 362 - 107 - 140 + t + 342 + (6*t + 2*t - t)*(-1 + 1 + 3) in the form c + f*t and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.4 (c) -5975.2 (d) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-9687810.\nAnswer: -174380580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 14 - 32. Calculate the remainder when (-700)\/(-7) + 14 - 1 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 30. Let c = 308 - 163. Suppose 3*n + 0*t = 2*t + 137, c = 3*n + 2*t. Calculate the remainder when n is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -511, -481, -439, -385?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.31, 11, 0.1, 2\/7, 2.\nAnswer: -0.31, 0.1, 2\/7, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006843 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6 - 1 + 7 + 11*v. Let t be m(1). Suppose t + 1 = 4*k. Solve 0 = -o - 2 - k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 53*o**2 - 291*o + 623. Determine m(47).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2139, 2906, 3673, 4440, 5207?\nAnswer: 5974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (12 + -17 + (39 - 19))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6) + 8 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 74, 143, 212, 281, 350?\n\"Answer: 69*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00153877 to 5 decimal places.\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7977 + -0.1.\nAnswer: 7976.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648905953.\nAnswer: 648905953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.17103064 rounded to two dps?\nAnswer: 83.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + 0 + (837 - 840)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-9) + 4\/(-6). Let u = s + 0. Sort 0, u, 5 in increasing order.\nAnswer: u, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -31*g**4\/24 + 44*g**3\/3 + 71*g**2. What is the first derivative of j(h) wrt h?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18056 is divided by 172.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/49*21\/6. Let n = 0 - m. Let q = 0.8 + 0.2. What is the biggest value in 3, n, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -141*g - 1 + 71*g + 71*g. Let x(s) = 2*s - 2. Let i(f) = 13*k(f) - 6*x(f). Let l(o) = 2*o**3 - o**2 - 7*o + 5. Determine -5*i(a) - l(a).\nAnswer: -2*a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*v**3 + 12*v**2 - 26*v**2 + 14*v**2)*(-3*v**2 - 3*v**2 - 10*v**2) + 3*v + 3*v**5 - 3*v.\nAnswer: -541*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2916) - sqrt(2916)*-1))\/(sqrt(588) - sqrt(588)*-1*4 - sqrt(588) - sqrt(588)).\nAnswer: -18*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 3946686*s + 114451371.\nAnswer: 3*(s + 29)*(s + 1315533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**1)\/k**9)\/(k**1)**(4\/5)*((k**11*k)\/k*k\/k**11)**(-47) assuming k is positive.\nAnswer: k**(-274\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**6)**(-2\/5) assuming z is positive.\nAnswer: z**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 21313.\nAnswer: -1\/21313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.252357l to millilitres.\nAnswer: 4252.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/3 - -6)*54. Suppose -u*p = -69*p - 75. Calculate the remainder when 61 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 409681 - f**2 + 58763.\nAnswer: f**2 - 350918","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 2*x**3 + 8*x**2.\nAnswer: -x**2*(x - 4)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34934\/6849 + -8\/761. What is the common denominator of s and (5 - 2) + 1380\/40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2 + 951*f + 44820 = 0.\nAnswer: -45, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwuunnw. Give prob of sequence wu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 45 = r. Is 41 - 1 - (r + -16) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**5\/21 - 2*z**4\/21 + 1192*z**3\/3 - 8*z**2\/21 - 99872*z\/21 + 133120\/21 = 0.\nAnswer: -65, -4, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29847, -29808, -29769, -29730, -29691, -29652?\n\"Answer: 39*h - 29886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/574 and -83\/4264?\nAnswer: 29848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6\/21151, -3.\nAnswer: -3, -6\/21151, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9)*z)**15\/(z**(7\/3)*z*z\/z**(-2\/19)))**38 assuming z is positive.\nAnswer: z**(824\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - 67. Let p = o - -73. Sort 2, p, 0.1.\nAnswer: 0.1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2 + 2 - d - d. Let a(s) = s - 5. Let q(t) = 1. Let i(h) = 3*a(h) + 15*q(h). Give i(g(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 260*p - 29*p + p + 1392. Let o(b) = 1. Let z(d) = -d + 10. Let w = 16 - 15. What is p*o(v) + w*z(v)?\nAnswer: -v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -450481067469 - 2\nAnswer: -450481067471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1298 + 1213.3. Round c to the nearest integer.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r = -4*k + 5, -4*k - 3*r - 1 = 0. Suppose 4*h - k*h - 267992 = 4*d, 3*d - 4*h = -200984. Round d to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*x**5 + 116*x**4 - 256*x**3 - x - 391229.\nAnswer: 60*x**3 + 1392*x**2 - 1536*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 + 0 = 2*i, 0 = -4*i - t + 17. Suppose -2*o = -i*m - 165, -7*m - 20 = -3*m. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8170545 is divided by 2723462?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7 (b) -1\/3 (c) -2.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0154, -5, -91 in descending order.\nAnswer: -0.0154, -5, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 261.3397nm?\nAnswer: 0.0000000002613397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-2)*h)\/h)**19 assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 - 6*o - 2. Let g(s) = 10*s**3 + 19*s + 7. Calculate 2*g(t) + 7*n(t).\nAnswer: -t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2. Suppose z + 5*n - 15 = 0, -3*n + 22 = z - 3*z. Let o(s) = -3*s**2. Let c(m) = z*o(m) - 6*a(m). Let j(u) = -2*u. What is c(j(x))?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 4:22 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*s = 620*s - 156*s + 7755 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-18))\/(2\/3). Let z = 17 - 16. What is the nearest to z in -3, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 1356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q. Let z = 3 + -2. Let l = z + q. Put l, 4, -1 in descending order.\nAnswer: 4, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) 2 (c) 0.09 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = i + 503. Let p = -421 - i. Suppose 49*v = 48*v + p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09215623 to 4 decimal places.\nAnswer: -0.0922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -19, -1, -0.02, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109955939801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**2 + 5*w - 5. Let n(i) = 4*i**2 + 5*i - 5. Let t(b) = 5*j(b) - 6*n(b). Let v(k) = -k**2 + k - 1. Give -2*t(s) - 10*v(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7531, -7779, -8377, -9499, -11319, -14011, -17749, -22707?\n\"Answer: -29*q**3 - q**2 - 42*q - 7459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 466\/4)*2. Let i = 463 + h. Suppose 2*y + g - i = 0, 0*y - y = -5*g - 115. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 18. Let h be (2\/z)\/(1\/126). Calculate the highest common divisor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 41162229.\nAnswer: 452784519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3765121.8 rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.282*44831.\nAnswer: 12642.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -226*v + 23667. Calculate k(108).\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 13*q**7\/105 + q**5\/6 - 29*q**2\/2 - 9. Let d(x) be the second derivative of f(x). Find the third derivative of d(u) wrt u.\nAnswer: 624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 13*h - 11. Is d(8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/360 + x**5\/12 + 3*x**4\/4 + 20*x**3\/9 - 4*x**2 + 4*x. Factor j(m).\nAnswer: (m + 1)*(m + 4)*(m + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 1934676?\nAnswer: 5804028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -936 - -918. Let w be 30\/p - (-102)\/18. Determine r, given that 0*r**2 - 1\/7*r**5 - 1\/7*r**w + 0 + 0*r**3 + 0*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8562.864828 - 8563.1. Round b to three dps.\nAnswer: -0.235","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrv when three letters picked without replacement from {r: 1, h: 1, v: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 - ((-3)\/9)\/(1\/(-3)). What is the greatest common factor of a and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q**2 - 2*q**2 - q**2)*(4*q - 14*q + 3*q)*(-4 + 3*q + 0 - q) in the form v*q**3 + y*q**2 + a*q + x + u*q**4 and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 s, and 1 o when three letters picked without replacement from oxxsxossvxxxo?\nAnswer: 27\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjoi when four letters picked without replacement from ovjxixcovvoj.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*v + 30 = 0, 43*v = 4*a + 48*v - 33. Solve -31 = 8*q - a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 841 + -941.8. What is l rounded to the nearest integer?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381054?\nAnswer: 2, 457, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.2. Suppose -2*o + 28 = -4*u, 119*o - 124*o = 3*u + 34. What is the nearest to o in 2, -1\/7, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 33\/12 - (-748)\/(-176)) + -5. Let g(k) = -11*k - 111. Give g(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 35*w**3 + 90*w**2.\nAnswer: -5*w**2*(w - 9)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2314 = -7*n + 675. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + (-46 - -41).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7\/(-21) - (-140)\/(-12)) + 0. Sort -4, -10, y in descending order.\nAnswer: -4, -10, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13743028 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -2)\/2*9. Let v be -24 + 3\/(l\/(-6)). What is the common denominator of v\/(-10) + (-17 - -17) and 13\/36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 0*a + 0*a**2 + 9*a - 4*a**2 + 0*a**2. Suppose 5*o + 3*i = -1 - 12, 24 = -4*o + i. Let c(g) = -6*g**2 + 13*g. Give o*c(t) + 7*b(t).\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -92, -212, -356, -524, -716, -932?\n\"Answer: -12*g**2 - 84*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76786.\nAnswer: 2, 38393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 2\/(4\/(-4)). Suppose c = -5*r - 31 - 4. What is the units digit of (7\/2)\/r*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/30 + j**4\/6 - 5*j**3\/6 - 7*j**2. Let s(r) = -r**2 - 3*r + 4. Let c(h) = 3*g(h) + 4*s(h). Let q = 3 - 5. What is c(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5 - 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -m - 45. Let q = m + -10. Let n(s) = 7*s - 2. Let k(b) = -b. Calculate q*k(c) + n(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(3\/45*3). Suppose 3*q = -3*t + 9, 6 = 5*q + t - l. Suppose -3 = a - q*s, 0 = -a - s - 3*s + 15. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 16\/223?\nAnswer: 16\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/1790 and 47\/26316938.\nAnswer: 131584690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 - 16 = -2*d, -d = 2*l - 9. Suppose -2*x = -x - l. Let s be -2 - -1 - (1 - 2). Solve -m + x = -s*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 10:25 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (104\/130)\/(1\/(-5))*2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*g + 2. Suppose 6 = 5*t - 3*y - 1, t + 4*y = -17. Sort t, 3, g.\nAnswer: t, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, -0.113, -2, -43\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 7 = u + 9, -5*u = 4*z + 83. Sort -2, 1, u in increasing order.\nAnswer: u, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -37961*n + 493493. Determine p(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 276 = -14*u. What is the remainder when u is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25129 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 15*u**2 + 13*u + 20. Determine v(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -14. Solve u*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-5 - (-19 + 8)) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 6 = 0. Let z(y) = y**2 + 3*y - 2. Let n be z(-4). What is the first derivative of 2 + f - n + x wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140851657 divided by 2.\nAnswer: -140851657\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 105 = 24*h, -3*c - 2*c - 494*h + 25 = -492*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 43033 = -0*z - 3*l, 4*l = -2*z - 17234. Let p = z + 13966. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 123.15. Round d to one dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0947 (base 12) to base 11.\nAnswer: -292839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a - 2*a)*((2*a - 3*a + 3*a)*(-2*a + 2*a + 2*a) + 0*a**2 - a**2 - a**2 + 2*a**2 + 0*a + 0*a + (2 - 2 - 3)*(-19*a**2 + 3*a**2 + 5*a**2)).\nAnswer: -37*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - 0.8. Let i = r - 2. Let j = i + 4.4. What is the nearest to 0 in -0.3, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from hkuuhhhuuuuhukhuuh.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/825 and -61\/2850.\nAnswer: 31350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-24)*-3*(0 + -8). Let v be g\/105 - 1802\/(-15). Let u = -24 + v. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*t = 34*t - 8. Suppose t*f + 103 = 4*j - 25, -3*j = -2*f - 93. Find the second derivative of 3*z - 10*z - 31*z + j*z**5 wrt z.\nAnswer: 580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-3)\/(-3)))\/((-4)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31813037 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7529\/5604 - 19\/1868. Factor m - 16\/3*y + 16\/3*y**2.\nAnswer: 4*(2*y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000069055 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.6117753 hours to weeks.\nAnswer: 0.0214986625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 24074452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*c + 471 = 0, c + 4 - 1 = 0. Calculate the highest common divisor of p and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 34*b - 176. Give v(-25).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 12992.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 328854 and 57500.\nAnswer: 411067500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4077701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ookkxooxxoxoxxxooooo. What is prob of sequence oko?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5415 and 63688?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.0519 milligrams in kilograms?\nAnswer: 0.0002990519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**4 + 7403*w**3 - 81*w + 3421645 wrt w?\nAnswer: -4*w**3 + 22209*w**2 - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 + -5 + -1 + -8 + 5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = 3*k, -m - 2*k - 4 = -16. Suppose 3*p + m = -3*t - 1, 3*t = p - 15. Sort -3, 4, t.\nAnswer: t, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482 - -0.31209.\nAnswer: 482.31209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 5, -2, -17 in increasing order.\nAnswer: -17, -4, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12195*h**5 - 9837*h**2?\nAnswer: -731700*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 373 - 369. Solve 11*g + c = 15*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1775820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 8*o**2 - 2*o + 10. Suppose -16*x + 11*x = 40. What is the remainder when m(x) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 25 + 58 - 37*w**3 to the form j*w**3 + q*w + y + a*w**2 and give j.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*a - 24*a + 473. Is a bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 4. Let p be ((-12)\/(-9))\/((2\/(-3))\/1). Let w be j(p). Solve 5*n + 0*d - d = 24, w = 2*n - d - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3257 divided by 478.\nAnswer: 3257\/478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*n + 4*n - 40*n**2 - 35*n**3 = 0. What is n?\nAnswer: -1, -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j + 0 + 0 + (j - 3*j - 5*j)*(-1 + 1 - 2) + 0 + j + 0.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:03 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17433 = 41*l - 32*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(4*t - 2*t**4 - 4*t) + t**3 - t**3 - 2*t**4 - 20*t**3 + 24*t**4 + 20*t**3.\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5060946 is divided by 2530467.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2905 - -68644. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5*u + 5 = 0, 0*u + 10*u + 17 = -i + 7*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b = -8. Let z = b - 2. Suppose -5*u - 32 = -147. Solve -4*y - 2*g = 16, -2*g = -3*y + z*g - u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*v - 1489622 + 1489622 - 43*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149628037?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5940.982 and 774.5?\nAnswer: 6715.482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 2. Let b(u) = 23*u**2 + 23*u - 33. Let t(g) = b(g) + 6*c(g). What are the prime factors of t(10)?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntntjxjjajn. Give prob of picking 1 t and 1 j.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 561110 and 46310.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 5*u - 1. Let t be w(3). Let l be 12516\/10 + (-3)\/t. Suppose -4*d - 5*i + 1666 = 0, 0*i + 3*i = -3*d + l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1651 is divided by 532.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - p**2 + 2*p - 145. Let z be v(0). Let j = -120 - z. What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q + 158 + 12 + 160 - 23*q - 2*q**2 - 45.\nAnswer: -2*q**2 + 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((21 - 18) + -2 + 27).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28620549*c**3 - 12314735.\nAnswer: 85861647*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -3 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 850 divided by 1\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p - 21*p - 28*p**2 - 2 + 4 - 4. Let k(r) = -29*r**2 - 30*r - 3. Let a(h) = -2*k(h) + 3*w(h). What is the second derivative of a(t) wrt t?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2 - 53*x - 140 = 0. Calculate x.\nAnswer: -7\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619 = 3*j + r - 2*r, 3*j - 4*r = 613. Let h = 292 - j. Which is bigger: h or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 204\/238*(-14)\/(-6). What is the second derivative of -138*p - 13*p**b + 90*p + 39*p**2 - 110*p wrt p?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2821\/155 - 1\/5.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15282)\/1698*10\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173089 and 11940376.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843 = 69*c - 1912 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 12:14 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-39)\/4)\/((-15)\/612). Let y = -21979\/55 + l. Let m = -1\/7933 - -769507\/47598. Calculate the common denominator of m and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13106290 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 12 = 3*d - 2, -5*y - 7 = -4*d. Suppose 4*g = -d*b - 3, -4*b - 4 + 0 = -2*g. Solve -5*q - 7 - 18 = g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-119))\/(1*27\/18)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-680)*17*(-1 - (-18)\/10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.28, -0.3, 4, 5 in decreasing order.\nAnswer: 5, 4, -0.28, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+-0.183\nAnswer: -0.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5636 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15620 - 187435\/12. Which is the second biggest value? (a) i (b) 3 (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1773*x + 1330*x + 4603*x + 346770 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 803*t**5\/60 + 925*t**4\/12 - 1952*t**2. What is the second derivative of h(l) wrt l?\nAnswer: 1606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 - ((53 - 44) + -35 + 30).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19791 - 11782. Let p = 7791 + y. What is p rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-110)*8\/(-24).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/5*(-4)\/12. Suppose 52 = -5*g - u. Put g, -0.1, 0.4 in ascending order.\nAnswer: g, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8629, 11118, 15269, 21088, 28581, 37754, 48613?\nAnswer: 61164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + z + 43 = -0*z, -278 - 211 = 5*r - 4*z - 593 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z**3 - 16*z**2 - 13*z + 15. Let u be t(-8). Suppose 14*b = u - 967. Is b bigger than 232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 5*(-3 + 2). Let r = 4 + o. Suppose -2*l + l + 24 = r. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1554 + 16066*l - 339*l**2 + 569 - 16066*l wrt l.\nAnswer: -678*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - 7 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 505111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*h - 228 = 0. Suppose -2 + h = -u. Let r = -27 - u. What is the remainder when 52 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 9998*p + 79856.\nAnswer: 2*(p + 8)*(p + 4991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (0 - 0) - -2. Let g(j) = -j + 2. Let s be g(n). Let q be 0 - 1\/3*s. Solve -2*d - 2*t = q, 5*d + 3*t - 2 = 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnuad. Give prob of picking 1 b and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 2120, 3157, 4178, 5183?\nAnswer: 6172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 558 - 6131\/11. Calculate the common denominator of -5\/9 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44535 is divided by 3421.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 5*g**2 - 7*g + 7. Let w be l(4). Let v be (330\/28)\/(7\/84). Let t = v + -141. Which is the third biggest value? (a) t (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.1492mg in grams?\nAnswer: 0.6271492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 116234, 232467, 348688, 464897, 581094?\n\"Answer: -6*t**2 + 116251*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 + 27*x**3 + 0*x**3.\nAnswer: 27*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -33*a**5\/5 + 27*a**4\/4 + 2*a**3 + 75. Determine i so that r(i) = 0.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -9. Calculate the remainder when 15\/20 + 483\/12 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323, -1350, -3063, -5462, -8547, -12318, -16775?\nAnswer: -21918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -641 + 641 + 37*a**2 + (-3 - 2 + 23)*(0*a**2 - 3*a**2 + 0*a**2) - a**2 - 2*a + 2*a**2 - a in the form t*a**2 + p + l*a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 3*a - 3*a + (3 - 3 - 2*a)*(2 - 2 + 3).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25 - (1*-2 - -3). Suppose 0 = -2*y + j + 62. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 0.0396\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4324 (base 11) in base 5?\nAnswer: 140323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*t + 21. Let c(l) be the first derivative of -l**4\/4 + 8*l**3\/3 - 3*l**2 - 2*l - 652. Let x be c(t). Solve 0 = 3*f - 8*f - x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1*sqrt(140))\/sqrt(7))\/(sqrt(484) - (1*sqrt(484) - sqrt(484))).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*c = -5*i + 127, -3*i = 2*c - 466. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*x - 2*s + 6, -s + 8 = 4*x. Suppose 0 = -x*i + 41 - 5. Suppose -i = -a + 1. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*q**2 - 34*q + 696?\nAnswer: 62*q - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 3)*(-4 + 4 + 7) + (-2 + 2 + 2)*(2 + 3 - 4))*(2*x - x + x)*(x + x - x) to l*x**2 + k*x + w and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 + r. Let z be f(3). Let b = z - -44. Solve 2*s - b = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2536979 is divided by 3410?\nAnswer: 3349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 528, 1029, 1534, 2043?\n\"Answer: 2*q**2 + 495*q + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -618, -5, 3, -1, 4, -2642, -2 in decreasing order.\nAnswer: 4, 3, -1, -2, -5, -618, -2642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8350 + 8349. Which is the biggest value? (a) -5 (b) z (c) 6 (d) 1\/5 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*t**2 + 22*t**2 + 16*t**2)*(39 - 39 - 40*t).\nAnswer: -640*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/8 - 6723*d\/8 + 4567619\/4 = 0?\nAnswer: -7882, 1159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from vgvagagggggsgs.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w = 0. Let b = 2 + w. Suppose -b*a + 14 - 4 = 0, 0 = 3*q - 2*a - 17. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67265e (base 15) in base 14?\nAnswer: -9207dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m\/(m**0*m)))**(-1\/11)*m**(1\/2)*m**(2\/15)*((m\/((m\/((m\/(m\/((m\/m**7)\/m)))\/m))\/m))\/m**(-3\/5))**(-18) assuming m is positive.\nAnswer: m**(7627\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0 + 1\/20*j**5 - 1\/12*j**4 + 3\/2*j**2 - 1\/2*j**3 - 41*j. Determine l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10012 - -18629. Let d = j + 612. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 0 + 0)*(-i - i**2 + 15*i**2 + 2*i) as d*i**2 + g*i + s + b*i**3 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*z + 66042 - 10370 = 0, 3*z = 6. Let w = f + 7683191\/138. Calculate the common denominator of 57\/16 and w.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6197 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 + 276 = -m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - -37. Is (112\/84)\/(2\/2487) + f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40329.60800555 - 40411.60801. Let g = c + 82. Round g to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.456 - 0.456902. What is n rounded to 5 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153527?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i. Let z(m) = 4*m**2 - 6. Let a be z(2). Let j(r) = 0*r**2 + a*r**2 - 8*r**2. Give j(c(b)).\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-7254))\/(1\/13).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-3))\/((-16)\/72). Let w = c + 36. Suppose 118 = i - 3*p, -w*p - 2*p = 25. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522*(-455)\/(-4914)*2*(0 + 6\/(-20)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3968350 is divided by 580?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/55 and -15\/7909.\nAnswer: 39545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*q - 11*q. What is the units digit of 5\/q - (-73882)\/102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 2*s - 7. Let u(a) = -a**2 - a + 1. Let y(w) = l(w) + 4*u(w). Let o be y(5). Let j = o - -12. What is the remainder when 11 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712524118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24776, -3, 34, 14 in ascending order.\nAnswer: -24776, -3, 14, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 3*x**2 - 2*x**2 + x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*t*v**2 - 43038*t + 56*v**2 + 126*v - 13 wrt v?\nAnswer: 26*t*v + 112*v + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 7:25 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 142 and -0.06.\nAnswer: -8.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 877 + 3257. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + 10*k**3 + 28*k**4 - 29*k**4 + (3*k**3 - 5*k**3 + 5*k**3)*(-k + 3*k + k).\nAnswer: 8*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 + 0*c - 4*c**2 + c - 2*c + 90 to the form n*c**2 + h*c + g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 823*y - 323*y - 4816191 = 1350809. List the prime factors of y.\nAnswer: 2, 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y + 2. Let w be s(-2). Let r = w - -6. What is the remainder when (-1)\/(-6) + 35\/r is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4106 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8*r**2 - 860*r + 199. Calculate b(-107).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-10) + (-4905)\/(-6). What are the prime factors of (-128)\/16 + (b - -1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + (-9)\/36. Suppose o*n + 3*n - 6 = 0. Is n even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 + 3*c + 2. Let t be r(-3). Suppose 5*f = -g + 3*g + 12, 2*f + 3*g = 20. Put -3, t, f in increasing order.\nAnswer: -3, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011010011010 + 11111000?\nAnswer: 1001011110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -22, -42, -74, -124, -198, -302, -442?\n\"Answer: -m**3 + 3*m**2 - 16*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + ((-18200)\/975 - (-16)\/(-3)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 - 118224*i**5 + i**3 + 9*i**2 + 13*i - 320.\nAnswer: -240*i**3 - 7093440*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + j**2 - j**2 + (30 + 22*j**3 - 30)*(1 + 1 + 0) + 1 - 3*j**3 - 1 + (4*j - 2*j - j)*(-3*j**2 + 6*j**2 + j**2).\nAnswer: 46*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434240 - 148*i + 145*i + 434201.\nAnswer: -3*i - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -2*p + 97517 - 97497, 3*n - p = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9820.\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10389, 20777, 31165, 41553, 51941, 62329?\n\"Answer: 10388*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**6\/120 + 7*m**5\/60 - m**4\/6 - 5*m**3\/3 + 3*m**2. Let n be o(6). List the prime factors of (3 - n)*(2 - -27).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 28*w**3 - 8*w**2 - 112*w + 30. Let q(g) = -28*g**3 + 8*g**2 + 112*g - 29. Let s(y) = 3*j(y) + 2*q(y). Factor s(t).\nAnswer: 4*(t - 2)*(t + 2)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3277 and -68.\nAnswer: 3209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 14 = -6. Let r = 4 - -6. Let z = n + r. What is the remainder when z is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 21, 2, -7, -16891 in decreasing order.\nAnswer: 21, 2, 1, -7, -16891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 458 - 13*b + 113 + 114 + 119.\nAnswer: -13*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -1. Let v be ((-3)\/21 + -1)\/((-1520)\/112 + 11). What is the closest to -2\/3 in v, l, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*b + 1579 = -11525 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-23)\/(-4))\/((-3)\/(-12)). Find the second derivative of f*p - 15*p**2 - 15*p**2 + 3*p**2 + 7*p**2 wrt p.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a - 2*a)*((-a + 6*a - 3*a)*(-2 + 2 - 1) + 6*a - 3*a + 4*a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*g + 3*q + 21, 0 = g + 5*q + 6564 - 6518 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*m = 8, -88 + 75 = -4*c - 3*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 90?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**2 - 2*j - 4. Let f be a(-2). Suppose -5*u + f = 3*l - 6*l, -15 = -3*u. Put 0.4, 5, l in ascending order.\nAnswer: l, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**3 - m**2 + 3*m + 2. Suppose -84*s + 79*s + 5*x + 45 = 0, 2*x = 7*s - 43. Let z(a) = -9*a**3 + 2*a**2 - 5*a - 4. Calculate s*w(g) + 3*z(g).\nAnswer: -2*g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*-1*-26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 5*c + 34. Suppose t - c = 5*v, 5*t + 6*v = 2*v - 2. Round t to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3 = -3*p + n, -3*p - 3 = n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) 1\/5 (c) 17\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -967 and -967 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2980 - -2980. Sort -110, q, -38 in decreasing order.\nAnswer: q, -38, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 109.5 and -12.\nAnswer: 97.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4620 and 1232.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 + -0.35. Let d = 3.1 - 5.2. Let z = -2 - d. What is the third biggest value in -0.1, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -96*k**2 - 11\/8*k**4 - 19\/20*k**5 + 0*k - 1\/8*k**6 + 0 + 3\/2*k**3. Factor y(p).\nAnswer: -3*(p + 1)*(p + 3)*(5*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*g**2*z**3 + 45*g**2*z**2 - 3*g**2*z - 395*g**2 + 5466*z**2 - 4386*z - 1 wrt z?\nAnswer: -90*g**2*z + 90*g**2 + 10932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + sqrt(65) + sqrt(65) + -2*(3*sqrt(65) - sqrt(65)) + sqrt(65))\/(sqrt(80)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-4 + sqrt(5) + 4))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12580, -12986, -13364, -13720, -14060, -14390, -14716?\nAnswer: -15044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-3)\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.41. Let w = 0 + -2. Let s = 2.4 + w. What is the second smallest value in s, a, -1\/10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 + 7*o**3 + 20*o**3 - o**3.\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.7 - -22. What is the nearest to -1\/4 in l, 5, -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -9b?\nAnswer: 9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.475018nm in micrometers?\nAnswer: 0.001475018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/245655 and 167\/83850240?\nAnswer: 251550720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((3 + -2)\/(-1)). Let t(o) = o**2 - 2*o - 1. Let x be t(v). Solve -x*w = 2*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 18*j**2 + 81*j + 5. Let x be o(9). Solve -x*z - 7*z + 48 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122*-169.\nAnswer: -20618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 1. Let k(t) = 50*t**3 - 2*t**2 + 18*t - 6. Calculate -k(b) - 6*p(b).\nAnswer: -50*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -108, -79, 0, 153, 404, 777, 1296, 1985?\n\"Answer: 4*c**3 + c**2 - 2*c - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5}. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 4. Let m = -796 + 415. Let y = -388 - m. What is b(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1470)\/91 - (-4)\/26) + 7 + 0\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 3*j**2 - j**2)*(0*j**2 - 7*j**2 + j**2) - 3*j - 2*j**4 + 3*j.\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 294241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 + 41?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6079, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43474356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 442*y**2 - 52*y - 52. Let u(h) = -6 - 3*h + 0*h**2 - 6*h**2 + 3 + 32*h**2. Give -3*j(v) + 52*u(v).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 4:50 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-8)\/(-128))\/((-55)\/440)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 12. Let p(j) be the third derivative of -j**5\/60 - j**4\/3 + 4*j**3\/3 - 21021*j**2. Determine p(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 842*s**3 + 1080*s**3 + 11*s**3 + (2 - s**2 - 2)*(-2*s - s + 5*s).\nAnswer: 1931*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3515146 = 139*h - 3518343 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5838*v + 7763 = 124523 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 124014 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q - 42. Let o be u(-7). Which is the fourth smallest value? (a) -2\/5 (b) 2\/9 (c) o (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, z: 3, j: 13}. Give prob of sequence zjjw.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 4*b**2 + 38*b - 3*b**2 + 6*b**2.\nAnswer: 7*b**2 + 38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 9*c**2 - 12*c + 16. Let r be d(7). Find the third derivative of 8*m**6 - r*m**2 + 33*m**6 + 71 - 71 wrt m.\nAnswer: 4920*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-20))\/((-3)\/30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 45*y**2 + 166*y - 89. Determine i(41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -o - 5*b - 22, -1732*b = 4*o - 1731*b + 115 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2189, -2094, -1999, -1904, -1809?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b - 4. Let y(q) = -45*q + 111. Let m(d) = 7*d - 17. Let n(v) = 13*m(v) + 2*y(v). Determine -6*n(h) - u(h).\nAnswer: -13*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/236 and -51\/4.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + w - 38. Suppose -8*n - 4 = -4. Let g be o(n). Round g to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4742, 4, 121\/4 in increasing order.\nAnswer: -4742, 4, 121\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -85050?\nAnswer: -85047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -97*j - 6334. Let d be l(-65). Put 4, d, 3 in decreasing order.\nAnswer: 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 733853*j**3*v + 22*j**2*v - 6*j**2 + 3*j - 16*v - 1 wrt j.\nAnswer: 4403118*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 4. Let z be n(-4). Let h(p) = -p + 13. Let a(o) = -3*o - 9. Let l be a(-6). Let d be h(l). Solve -2*f + z = -2*g + 2, -d*g - 8 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*k**2 + 2921*k - 2921*k.\nAnswer: -97*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (888\/20)\/((-3)\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 58*f**2 + 4*f - 4334. Determine n(59).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71456807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 - 2 + 3 - 6 + 1 + (-2 - 3 + 7)*(0 + 0 + 2))*((1 - 2 + 2)*(d - d - 2*d) + 0*d + 2*d - d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 11*w**2 - 5*w + 2. Calculate the remainder when p(-11) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 10 = 2*q. Suppose -4*f = 3*z - 7, -2*f - q = -z - 3*f. Let x be (-11)\/(-2) + z + (-18)\/12. Solve -4*d = -x*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14a6 (base 13) to base 6\nAnswer: 21533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4745 - -8981. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 - 1613*h**2 + 75*h + 33512566 wrt h.\nAnswer: -3*h**2 - 3226*h + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and (-22)\/3*33\/(-22)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 0 - (-39 - (7 - 29) - -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 7:32 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9927 + -9662. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 26. Suppose -12*c + h*c = -28. Let n = 9 + 1. What is the lowest common multiple of n and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 - 135827*b + 18182862 = 0. What is b?\nAnswer: 134, 135693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 2*n - n**2)*(1 + 0 + 0)*(92*n - 116*n + 62*n) to v*n**3 + c + j*n**2 + x*n and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 31097007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/4 - 419*y\/4 + 1239\/2 = 0. What is y?\nAnswer: 6, 413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 5*b - 4. Let y be n(4). Suppose y = 2*l + 2*r - 4 - 48, 0 = -4*l - 3*r + 100. What is the lowest common multiple of l and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14016835 is divided by 3504111.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*(s\/(s**(-5)\/s))\/s*s*s*s**1\/s*s**0*s*(s*s**10)\/s assuming s is positive.\nAnswer: s**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/79 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103848 + 36474 = -3341*t for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmmp when four letters picked without replacement from mmkkhhkdmpms?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -16*y + 28 = 4*c - 12*y, -3*c = 2*y - 14. Let d = -44 - -41. What is the closest to c in d, 6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**2 - 6*l**2 - 6*l**2 in the form o*l + x + b*l**2 and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffufffuffuffff. What is prob of sequence ufu?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/2*(980\/(-8))\/(-5). Let s = -45 - j. Solve d + s = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178223041 is divided by 7748827?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 562888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 1239 - 1225. Suppose -105*z = -98*z - m. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/17089 - 19651\/21891009. Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a microsecond in nanoseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -8, -6, 0 in decreasing order.\nAnswer: 1, 0, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 131*f**2 - 261*f**2 + 54 + 128*f**2 + 205.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 7*n - 3*n - 16, -u = -n + 10. Suppose -n*t = -2*t - 195. Suppose -3*s + t = -18. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/16*-2*(-6)\/20\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221 - 20122?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -4*g**6 + 6*g**2 - 22. Find the second derivative of l(d) wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 - (-2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-17 - (9 - 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 87 = -15. Suppose -s*j - 232 = -j. Is j smaller than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -808 divided by 11390.\nAnswer: -404\/5695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/427 and 27\/154.\nAnswer: 9394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 2*h + 3, -26*q + h - 52 - 38 = 3*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -4*t**4\/3 + 4*t**3 + 2*t. Find the second derivative of g(j) wrt j.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5))**0\/((h\/h**(1\/4))\/h*h*h)**(-6) assuming h is positive.\nAnswer: h**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-230)\/12 - 3) + (-3)\/(-18). Let x be 1008\/99 - (-4)\/r. Factor -29*w**4 + 8*w**3 - 24*w**4 + 51*w**4 - x*w**2 + 4*w.\nAnswer: -2*w*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -14. Let l be 13725\/(-40932) + n\/(-6). Let p = 33737\/3032 + l. Calculate the common denominator of p and -38\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 313*o + 4. Let d(a) = -1097*a - 13. Let b(n) = -2*d(n) - 7*p(n). Let s(y) = -y + 1. Determine -2*b(i) - 7*s(i).\nAnswer: i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -68\/113? (a) -5 (b) -3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 2934941?\nAnswer: -2934940.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 372 and 19788?\nAnswer: 613428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1 - ((288\/(-336))\/(3\/(-63)))\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 725\/1712 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 46070550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 1\/15 (c) -18959 (d) 3\/2 (e) -1\/5 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -531b2 (base 12) to base 15\nAnswer: -22512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32\/5 - -298\/45. What is the closest to b in -2\/39, -2, 1?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189018375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 898 - 271 + 18553*a - 627 in the form g*a + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0195, -0.3, -3, -9, 16 in decreasing order.\nAnswer: 16, -0.0195, -0.3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.90247 - 0.09753. Put 4, -6\/983, 2, -2\/11, h in decreasing order.\nAnswer: 4, 2, -6\/983, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h - 13. Let j be y(-5). Let v be (-8)\/20 + j\/5. Suppose v*k + 8 = 6*k. Solve -2*d - k - 8 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*f + 15*f - 685*f - 39596 = 0 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 717, 5\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15, 4, -42 in ascending order.\nAnswer: -42, 0, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4963 and 386.\nAnswer: 385.5037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*p - 15, -p + 24*a - 29*a = -21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1844, -56, -19, -1 in decreasing order.\nAnswer: 1844, -1, -19, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -5, 0.1, 4\/5, 1769\/4, -86?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1367244*l*m**3 - 274735*l*m - 2*m**3 - 2*m wrt m?\nAnswer: 8203464*l*m - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3746*l = -2318*l - 1516*l - 67187 - 46513 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -8 + 0*y**4 + 2*y**2 - 1\/120*y**6 - 5\/3*y**3 - 11\/60*y**5 + 0*y. What is b(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 42*y + 64. Let d be x(-9). Let w = d - -466. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*w + 3)*(-139*w - 253 + 253)*(-1 + 0 + 2)*(-2*w**3 + w**3 + 2*w**3) - 2*w - 2*w**5 + 2*w.\nAnswer: 276*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + -154. What is the second biggest value in -2\/3, 2\/13, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 1 (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = q - 7, -282*r + 5*q - 368 = -298*r - 353 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9\/5, -2, 3, 0.1, 1057, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 - 5*a**3 - 5*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 908 - -0.46579?\nAnswer: 908.46579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322000 is divided by 321984.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(66)*1*-5)\/(sqrt(66)\/(sqrt(44)\/sqrt(4)) + -3*sqrt(24)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, g: 2, f: 1, i: 3, t: 1}. Give prob of sequence tgg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315) - (sqrt(315)*-4 + sqrt(315) + sqrt(315) + sqrt(315))*2)\/(sqrt(5) - -2*3*sqrt(5) - (sqrt(5) - (sqrt(180) + 1*sqrt(180) + sqrt(180)))) + -3.\nAnswer: -3 + 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72)*1)\/sqrt(2))\/(2*sqrt(108)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 2. Let l(g) = -88*g + 11. What is l(n) + 5*q(n)?\nAnswer: -73*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3892*v + 378. What is the ten thousands digit of f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -6, -3*v - 5*n - 1094 = -5489. Is v smaller than 1469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -80, -127, -170, -209, -244?\n\"Answer: 2*a**2 - 57*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 41, 269, 871, 2027, 3917, 6721, 10619?\n\"Answer: 30*p**3 + 7*p**2 - 3*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -109746? (a) -1 (b) 0.02 (c) 0.1 (d) 1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1. Let q(y) be the first derivative of -2*y**2 + y + 33. Let s(c) = q(c) + 2*u(c). What is s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 6*c**2 + 6*c + 7. Let j be m(-5). Suppose j*b - 4 = -0. Let w be (-5)\/b*(-3 - -3203). What is w rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*3*(8\/(-30))\/(-4).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**2 - 529*n + 29*n**2 + 1050*n + 415*n**2 - 523*n + 170*n**2.\nAnswer: 628*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 10*u**2 + 2237*u + 15800. What is r(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2144.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, r: 1, t: 1, v: 6, s: 2}. What is prob of sequence rs?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 15. Let i be f(11). Which is the nearest to i? (a) -3 (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 130 + 131 - 177*g + 87*g - 261 + 89*g. Let j(c) = -6*c + 2. Let s be (6\/8)\/((-2)\/(-8)). Calculate s*u(h) - j(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42303457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -422 (base 8) to base 14\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1122*o = 1108*o - 3668. Suppose 4*i + 616 = -436. Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -32063297 and -0.03?\nAnswer: 32063296.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 0, -79 + 73 = 3*a + 5*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -1.4. Let r = -1.56 + f. Round r to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27707279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 4 - (7502\/132 - 57).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 19.6, 5, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157190095?\nAnswer: 5, 71, 442789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 11*v + 224. Calculate the remainder when b(-12) is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 12473661?\nAnswer: 137210271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 j when three letters picked without replacement from {b: 2, r: 1, j: 1, q: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 s, and 1 d when four letters picked without replacement from xdzxxxsdxszscxsczdx?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f. Let z(x) = -10608*x**2 - 544*x - 544. Let l(p) = 272*p**2 + 14*p + 14. Let h = 302 - 295. Let o(c) = h*z(c) + 272*l(c). Calculate o(n(j)).\nAnswer: -272*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1261 = 2*i - 632 - 667 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144682259 is divided by 4568.\nAnswer: 4563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 4*m**3 - 4*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -210201 (base 4) to base 5\nAnswer: -33322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -164 times -1.84\nAnswer: 301.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, 66, 92, 116?\n\"Answer: -i**2 + 31*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.400044. Round y to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 12. Let r = -1 - d. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 0)\/(567\/(-54)) + (-110)\/570?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 5. What is t(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010225063 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 15, q: 3}. What is prob of sequence qppp?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -1\/4 (c) -1\/3 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2978668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.5, -2\/33 in decreasing order.\nAnswer: -2\/33, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*w - 111 - 109 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 50 + -4)*(3 + -2). Let t be (-3)\/30*-4 - q\/300. Let -t*c**3 - 3\/4*c - 3\/4*c**2 - 1\/4 = 0. Calculate c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007001887 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 52056*h - 208256.\nAnswer: 2*(h - 4)*(h + 26032)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -286.697 + 286. Let i = j + 0.087. Let w = -0.61059 - i. What is w rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5) + (-36)\/(-8). Let z = -16\/5 + m. Solve z*y**3 + y**4 + 0*y - y**2 + 0 = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 1 - -2)*-1. Let p = -11 + 21. Suppose 9*w = a*w + p. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19193294 to the nearest integer?\nAnswer: 4381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q - 2*b - b = -75*q + 123, 4*b + 29 = q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -27\/4, -1 in ascending order.\nAnswer: -27\/4, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -76*1\/(-2)*1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7183 and 1462720.\nAnswer: 16089920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.91 in 4, 5, -2, 1, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 62?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + x = -2*g + 22, -5*g + 4*x = -9106 + 9048 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231951 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1520 divided by -1\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42058*c**6 + 1279678*c**2?\nAnswer: -5046960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -43*d - 649. Let q be h(-15). Let l be 1\/(-2) - (-9)\/(-2). Which is the nearest to q? (a) -0.1 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 469138 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 105 * -6269044\nAnswer: -658249620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75662814.\nAnswer: 2, 3, 61, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 22 = 3*u, -4*u + 8 = -0*u. Suppose c + 8 = 2*c - o, 0 = -c + 2*o + f. Let y be c\/(-12)*-3 + 1. Solve -3*l + y*n = -l + 15, -3*n + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 1196 = 6*c. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6590435070.\nAnswer: 2, 3, 5, 11489, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2744400 divided by 9148?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3183.5 + -3183. What is the fourth biggest value in 289, h, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2821062089*u**2 - 16*u**3 + 5*u**3 + 2821062089*u**2.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-23)*a**22\/a assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 73 = -6*k - 13, -7*u - 5*k + 50 = -5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1078 + -67. Let l = -37405\/37 + r. Is l less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*y - 2*o + 145330, 2*y + 2*o - 58144 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3982 or 3983?\nAnswer: 3982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-2))\/y**(-1))**(-50)\/(y*y**(2\/5)*y\/(y*y**(-3\/8)*y)*(y\/y**(2\/7))\/y**(-7)) assuming y is positive.\nAnswer: y**(-72377\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548158 is divided by 283128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 426295689.9 and 0.0074?\nAnswer: 426295689.8926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssss. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2017832588?\nAnswer: 2, 83, 6077809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96152432 a multiple of 1954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.164 - 5.164. Let j = -0.3 + 0.2. What is the closest to -1\/4 in j, l, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 11. Let f(j) = 6*j - j - j**2 + 40 - 39 - 4*j. Let y(u) = 5*u**2 - 4*u - 7. Calculate b*f(l) - y(l).\nAnswer: l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 148137277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsxsssxxsx. What is prob of picking 3 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -236 + 239. Suppose 0 = q*u + 2*u - 35. Let f(r) = 5*r**3 - 7*r**2 + 6*r + 6. Let y(x) = -6*x**3 + 8*x**2 - 7*x - 7. Give u*f(t) + 6*y(t).\nAnswer: -t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f + 5. Let w be (-8)\/(-1) + (-4 - -1). Let v be b(w). Let i = -16 + v. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(0 + (-3)\/(-3)). Let m(a) = 2*a - 12. Let x be m(d). What is the highest common divisor of x and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*g + 4*g, -3*v = -4*g - 2012. Suppose -v = -4*x + 8*t - 4*t, -5*t + 659 = 4*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4*f - 4, -l + 7 = 2*f + 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11343 + 11391. Is -39\/10 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 15420 - 15155 = 39*v, n + 32 = 4*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 7661.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3399 * -0.42671\nAnswer: -1450.38729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 42. Let r = 27 + t. Calculate the remainder when 14 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -43, -52, -69, -94, -127, -168?\n\"Answer: -4*q**2 + 3*q - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 19. What is the common denominator of -2 - -1 - (-73)\/n and 65\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59159326433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 117.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4767*l - 13 + 0 - 4771*l + 1626*l**5 wrt l?\nAnswer: 32520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 22. Suppose -2*z = 2*z. Let d be y(z). Let i(w) = w - 8. Let f be i(12). Solve 2*t - 8 = 3*o - 1, 2*o = -f*t + d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -9*m - 44. Let s = -16 - m. Let r(n) = -n**3 - 5*n**2 + 2. What is r(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -4 (b) 1\/2 (c) 5 (d) 65 (e) -150 (f) -6\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -20*m. Let w(q) be the second derivative of 0*q**3 + 0 + 5*q + 0*q**2 + 1\/6*q**4. Determine w(k(y)).\nAnswer: 800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -80871.8568 to the nearest 100.\nAnswer: -80900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (1 - (-18 + -4)) + 2 + 90 - -6.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.13 - -3.1. Let p = 6.12 - 6. Let k = p - d. Round k to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*m - 35*m + 84*m + (-4*m + m + 2*m)*(-5 - 1 + 1).\nAnswer: 107*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 55 - 27 - 156\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33530 and 280.\nAnswer: 134120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 13*y**2 + 14*y - 14. Let v be t(-14). Is -25*4\/v*7 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/28)\/((-3)\/(-6)) + 57719. Is (m\/36)\/10 + (-2)\/(-3) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + (2 - -3) - 4)\/(-2). Suppose 2*z - 6 = 0, 0 = 4*c + j*z - z - 163. Calculate the remainder when c is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(1\/4)*l\/(l\/l**(-2\/7)*l)*l*l**(3\/2)*(l*l**4)\/l*(l\/(l\/l**(3\/2)))\/l*l*l**(1\/2)\/l*l**(3\/7)\/(l*(l**(-3)*l)\/l) assuming l is positive.\nAnswer: l**(263\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + j - 443 = 0, -j - 273 = -3*r + 2*j. Suppose 5*a - 20 = -x, -x - 30 = -2*a - 3*a. Suppose -a*p + 1 + r = 0. Which is greater: 16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.734 take away 0.5?\nAnswer: -1.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 0*b + 0*b)*(2 + 3 - 6)*(3 + 0 - 6)*(b - 2*b + 0*b).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-435)*(-385)\/(-462). Is 1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2\/3 + 17368*q - 260570\/3 = 0.\nAnswer: -26057, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*s + 3*d + 33, -3*d = -2*s + 22. Suppose -u + 5 = 1. Suppose -u*l = -l - 105. What is the greatest common divisor of l and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 78 - 7 = 5*j, 3*h = -2*j + 32. Suppose -3*v - 4*r = -3*r - 424, 710 = 5*v + 5*r. Let q = -138 + v. What is the least common multiple of j and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 5*k**2 + 3. Let a be c(-5). Suppose 2*v - 3*n - 4 = -0, a*v + 3*n + 24 = 0. Let i = -9 - -4. Put 4, v, i in ascending order.\nAnswer: i, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/145602 and -12\/5.\nAnswer: 728010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/25 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5083\/8002 or 2\/13?\nAnswer: 5083\/8002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86346 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32981 + -24086.5. What is o rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3347331 (base 12) in base 2?\nAnswer: 100101011000100100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j = -18*j - 6 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = n - 12, 5*r + 8*n - 16 = 5*n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-4))\/4*1\/5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 17. Let j(d) = -d**2 - 16. What is -3*j(n) - 4*w(n)?\nAnswer: -n**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172037313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 <= -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1092 and 624.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + -4 + (-2 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 8*s + 7. Let l be c(7). Suppose l*p = -6*p + 18. Suppose -p*o - 6 = -3*u + 3, -4*o = 5*u - 33. Solve 0 + o = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10) + (-97)\/1261*(-166)\/(-10)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 3. Let w(c) = -5*c + 1. Let a be w(1). Let j be o(a). Suppose -55 = -j*u + 25. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3917, 4, -5 in increasing order.\nAnswer: -3917, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -11 - -13 - 196*-1 and 9?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 6. Let m(u) = -10*u - 11. Let i(z) = -3*m(z) + 7*n(z). What is i(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 63 = -9*f, 6*f + 8*f - 11*f + i = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039532 rounded to six dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 4\/2)*1. Suppose 5*g = u, 5*g + 3*u = -r*u. Let b(d) = -d**2 - d + 1. Let p be b(g). Solve -2 = -h + w, -2*w = -2*h + w + p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -328\/5. What is the nearest to 0 in y, 5, 5\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 205*h - 2 - 206*h - 2 - 3. Let o = -107 + 98. What is the units digit of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*n**2 - 5*n**3 + 23*n**3 - 4560 + 2328*n - 7*n**3 - 8*n**3 = 0. Calculate n.\nAnswer: 4, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95613.\nAnswer: 3, 7, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721.593 minutes to nanoseconds.\nAnswer: 43295580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 960?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 17. Let n be a(7). Let j = n - -130. Calculate the highest common divisor of j and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-15) + 46\/10. Suppose 16*m + 2 = 15*m, -s*b - 2*m = -611. What is the smallest common multiple of b and 15?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 26*c + 21 - 29 + 401*c + 11 to the form s + r*c + l*c**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -434609 (base 14) to base 8\nAnswer: -10542461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.91 + 32.21. Let l = 24.4 + -24. Which is the closest to h? (a) l (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 6 = 18. Suppose -d*w - 2 = -w, w = 3*k - 19. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*g**5 + 57*g**3 + 33*g**4 + 39\/2*g + 3 + 48*g**2.\nAnswer: 3*(g + 1)**4*(5*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3854 divided by 26.\nAnswer: 1927\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0605 to 3 decimal places.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -0.3, -2, 5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 999 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159 - -146)*(4 + -32)\/(-7).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749 is divided by 643?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67939\/11774 - -13\/841. Let n = 502851\/42344 + -2\/5293. Find the common denominator of r and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4868205 + 17686*a - 4868205 to x + f*a and give f.\nAnswer: 17686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + (-4)\/(-3 - -1). Suppose 0*s - 4*s + d = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 8*u - 3. Let z be w(-5). Let d(j) = j**3 + 12*j**2 - 19*j - 8. Let b be d(z). Round b to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13693 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 992 - 94239\/95. Let v = 4\/19 - k. Let a = -6 - -2. Sort v, a, -5.\nAnswer: -5, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29402614.\nAnswer: 2, 19, 397, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 divided by 5?\nAnswer: 321\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -43*-2616428\nAnswer: 112506404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 20*x - 16. Suppose 0 = -5*j - x*j + 99. Let b(t) = 4*t - 18. What are the prime factors of b(j)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdnd when four letters picked without replacement from nxhdcdzzcznxdcdcn.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3131 (base 6) to base 8.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -190 - 1\/4*x**3 - 9*x + 3*x**2. Suppose f(b) = 0. What is b?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710200004 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8491 - -8497. Let k(l) = 11*l**2 + 5*l + 5. Let d(z) = -5*z**2 - 3*z - 2. Let b(v) = -13*d(v) - 6*k(v). What is b(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - w - w + (-4 - 2 + 3)*(942 - 942 - 151*w)*(3 - 6 + 2) to r*w + p and give r.\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 - 69690*j - 5651451 = 0. What is j?\nAnswer: -81, 69771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-26))\/((-2)\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5356.025 grams to micrograms.\nAnswer: 5356025000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 912328 + 20*a**2 + 258396 + 17*a**2 - 33*a**2 + 4328*a.\nAnswer: 4*(a + 541)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*h = 191*h + 30. Let x(r) = -r**3 - r**2 + r + 11. Let p be x(0). Solve p = -h*a - 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1104)\/(-12)*(289\/(-68))\/(-17)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 0, -3*c + 3*h - 7*h = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 679 by 1.\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4 + 2)) + (12 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.50771 rounded to the nearest integer?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 630 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -171 + 135 - (-2 + 2 + -1 - 4).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 216, 450, 684, 918?\n\"Answer: 234*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/((-1215)\/(-36) + -32).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + y - 25. Let w(u) = -u**2 - 4*u + 2. Let r be w(-4). Let j(d) = -2*d + r*d + 3*d - d. Give j(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssttsqstq. Give prob of sequence ts.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kee when three letters picked without replacement from {z: 3, k: 8, e: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (9\/((-27)\/33) - 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 107809.052 and 1.4?\nAnswer: 107807.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.6. Let c(q) = -19*q + 1 - 3 + 20*q. Let t be c(5). What is the closest to -1 in t, 2\/21, l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -301 + 303. Suppose -4*l - 355 = -o, 0*o = -o + m*l + 355. List the prime factors of o.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 28*s**2 + 30*s - 5. Let q(h) = 2*h**3 + 27*h**2 - 30*h + 4. Let n(m) = 4*k(m) + 5*q(m). What is the second derivative of n(a) wrt a?\nAnswer: 12*a + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63 - -46. Let t(o) = -44*o + 62. Let x(s) = 14*s - 21. Let y(b) = d*x(b) - 6*t(b). What is the derivative of y(q) wrt q?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*y + 30 = 0, -5*y - 22 = 3*g - 0*g. Let a(c) = -c**3 - 9*c**2 + 2*c + 2. Let q be a(g). Let d = -10 - q. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 - (-5 - (4 + -4)). Let d(b) = 4*b - 31. Let l be d(a). Suppose 7*z - l = 2*z, -2*i - 5*z + 12040025 = 0. What is i rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -579?\nAnswer: 57d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-251)\/(-7) + 4*6\/168. Let t be 4 + (-2)\/(-9) + (-80)\/l. Solve -3*y = 10 + t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 7:23 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2151)\/(-239))\/(3\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6285 to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 4*u - 67. Suppose 3*i + 3*m = -u, -i - 4*m - 32 = i. Let k = 150 + i. What are the prime factors of k?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3144741?\nAnswer: 3, 37, 41, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 4*r + 6*r**2 + 0*r**2 + r**2 + r**2 + (5*r - 5*r - r)*(3*r - 4*r + 0*r))*((0*r**2 - 2*r**2 + 0*r**2)*(-r + 4*r - 2*r) + 2*r**3 + r**3 + 0*r**3).\nAnswer: 9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -236 + -87451?\nAnswer: -87687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 83, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 475 - 472. What is the third biggest value in -2\/9, -0.2, u, -27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589359 less than 28779495?\nAnswer: 27190136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 157293 + -2.\nAnswer: 157291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -732*b**4 - b**3 - 3*b**2 - 14*b - 407. Let v(y) = -244*y**4 - y**2 - 4*y - 136. Let n(x) = 2*r(x) - 7*v(x). Find the third derivative of n(a) wrt a.\nAnswer: 5856*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -468848, -468687, -468514, -468323, -468108?\n\"Answer: j**3 + 154*j - 469003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 915 = 4*g, -646 + 268 = -2*i + 4*g. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(13\/3)*m)\/m**(-8))\/(m**0)**19 assuming m is positive.\nAnswer: m**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 120 = m. Let o = m + -37. Solve 4*n**4 + 0*n**2 - 3*n**2 - 4*n**4 - n + n**o + 2 + n**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 76, -5, 24, -1, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102778 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 2*b + 3*b)*(-4*b**2 + b**2 + 0*b**2) + 715 - b**2 + b**3 - 357 - 364 in the form a*b + n + c*b**2 + z*b**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 43*r + 220 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 + -133.39. Let t = b - -2.3682. Round t to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*f + 15240, 6*l = 8*l + 5*f - 10169. Is 70 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**4 + 40*x**3 - 115*x**2 + 140*x - 60 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2654*s - 183135. Determine o(69).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 13*g + 36. Determine w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2403.05 + 2403. Let c = -0.12 + -1.88. Which is bigger: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363220 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Suppose 15*m - 9*m - 228 = 0. What is the units digit of x + 1 + -2 + m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000078196014 rounded to seven dps?\nAnswer: -0.0000782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2. Let b(t) = -180*t - 169*t + 336*t. Determine b(l(c)).\nAnswer: -52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.1, 0.01, 2 in descending order.\nAnswer: 2, 0.1, 0.01, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-35) + (-1222)\/91 + 13.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 1)*6\/9. Suppose -w*j + 36 = -16. What is the greatest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-46))\/(1\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 2, h: 1, k: 1}. What is prob of sequence aka?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 3, i: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a**2 + 10*a**2 - 17*a**2.\nAnswer: -43*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32333 is divided by 140?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 623, 622, 621, 620, 619?\n\"Answer: -d + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2334.6958 - 0.0958. Round g to the nearest 10.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 34*n**2 - 5*n + 5. Is b(11) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12420682517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/3*12926\/843\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*a - 12 = 44, a - 84 = -3*w. Calculate the remainder when 81 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (848\/20 - 43) + (784\/455)\/8.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 479, 932, 1375, 1802, 2207, 2584, 2927, 3230?\n\"Answer: -r**3 + r**2 + 457*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 36 = 3*d + 21, 4*g = -5*d + 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924502?\nAnswer: 2, 19, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 88225 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -11 - -11 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from bbm.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 5, k: 4, r: 2, i: 3, v: 5}. What is prob of picking 1 z and 1 k?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 + -9.19. Let n = j + 9. Which is the third smallest value? (a) -2 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbkbbdibdrr. Give prob of picking 1 r, 1 d, 1 b, and 1 i.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696769 is divided by 317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 8. Let i be a(5). Find the third derivative of -5*b**4 + b**4 - 7*b**i - 3*b**4 wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, 253, -4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(153))*3*-3 - (-2*sqrt(204)*-4 + sqrt(204))\/(sqrt(12) + sqrt(12) + sqrt(1452) + sqrt(1452)*-3 + sqrt(12)).\nAnswer: 3087*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 51136?\nAnswer: 460224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*g - 1000, 0*j - 2*j - 2*g = -402. Calculate the highest common divisor of j and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.44492843 and -1.\nAnswer: -0.55507157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 3*p**2 + 4*p - 1. What is the hundreds digit of q(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -354*b**3 + 2438*b**2 + 1 wrt b.\nAnswer: -2124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -104? (a) -198 (b) 10\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2 and -15143 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 - (-38)\/70. Which is the nearest to -1\/2? (a) 0.4 (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/63 - (-18)\/(-90) - (-2)\/(-7). Solve -i + 2\/5*t**3 + 2\/15*t**2 - 2\/5*t = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from yyygfffgygyggbff.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111381366.6s in weeks?\nAnswer: 184.1623125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.325 - 0.0442\nAnswer: 1.2808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*s + 106*s - 24 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b**3 + 10*b**2 + 13*b - 3. Let y(n) = -5*n**3 + 5*n**2 + 6*n - 2. Let h(s) = -4*w(s) + 9*y(s). Let i be 22\/8 - 9\/12. Let z = 7 - i. Give h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + 5*n + 15*n**2 - 198 + 199 in the form k*n**2 + g + c*n and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 631*v**2 - 631*v**2.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1927 = 1926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11*-21\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 276717224 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 184 = -5*a. What is the remainder when a is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -261896\/377 or -696?\nAnswer: -261896\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2) - 99\/(-22))\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 911261829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -111111110000?\nAnswer: -111111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165.1458 tonnes to milligrams.\nAnswer: 165145800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 + 22. Let h be r(0). Let l = 92 - -13. Let d be l\/2 + 33\/h. Calculate the highest common factor of 36 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 435 and 102517755?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let y = v - 0. What is the smallest value in -3, y, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = g - 38 + 10, 0 = 5*d + 2*g - 35. Suppose 2 = -b + d. Let r(t) = -2*t**2 - 4 + 3*t**2 - b*t - 1. Give r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69442 - 35644. Suppose 13010 = -4*k + w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (sqrt(832) - sqrt(832)*2)**2 + -3 - (sqrt(832) + -1*(sqrt(832) + -2))**2.\nAnswer: 8*sqrt(13) + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away 6300413?\nAnswer: -6300412.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 - (4 + -2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/2))**(7\/8))**(2\/13)*(s**(-2)\/s*s*s**(2\/9))\/(s**(-3)\/s**(-1)) assuming s is positive.\nAnswer: s**(397\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7479697666?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1775 and -24\/3905.\nAnswer: 19525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186384?\nAnswer: 2, 3, 11, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -1.73513897.\nAnswer: -2.23513897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17\/((-306)\/117)*(-8)\/(-4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + g + 1. Let f(r) = 5*r**3 + r**2 - r - 1. Determine 4*f(l) + 4*j(l).\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 9893 = -2003. Let i = j + -11854\/9. What is the common denominator of 59\/93 and i?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4) + -1 + (1 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 10*f. Let k be t(10). Is -3 + (-1143)\/(-3) - (k + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 3)\/((-1)\/47). Let l = -47 - i. Suppose l = 2*d + d - 237. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**3 - 8*j**2 + j. Let n(w) = -6*w**3 + 7*w**2 - w. Let s = -3 + 8. Let c(m) = s*b(m) + 6*n(m). Factor c(l).\nAnswer: -l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*x = 1638. Find the second derivative of 462*t + 7 - 230*t + 82*t**3 - x*t wrt t.\nAnswer: 492*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 94. Is p(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -21*(-2 - (-8)\/12). Let p = t - 25. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -551*g**6\/2 - g**2 + 247*g + 1521. What is the second derivative of o(r) wrt r?\nAnswer: -33060*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3960 - 2089 + 13899 = 4854*u - 11566 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 5?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (615\/(-60) + 10)*64\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 + -21 + -1 + 10 - (7 - (3 + -7))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*h - 2 - h - 2*h)*(-26 - 37 + 4)*(-25*h + 34*h - 40*h)*(-4 + 5 + 0)*(0 - 2 + 1) to the form v*h**2 + k*h + u and give v.\nAnswer: -20119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -43098+-0.198\nAnswer: -43098.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.870847 months in millennia?\nAnswer: 0.00073923725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-240))\/(33\/(-440))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -e06 (base 15) in base 2?\nAnswer: -110001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 1 = -4*l, j + 5 = -4*j + 5*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -103947103 and -0.0976?\nAnswer: 103947102.9024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g = 16*g - 5*w - 105, -g + 15*w + 89 = -242 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000397505954 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.00097.\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/48)\/((-745)\/(-1788))*-3*(-20)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5291*b**3*d*h**3 + 18*b**3*d*h + 2*b**2*d*h + b*d*h + 2*d*h**2 + 14*d*h + 65*h**3 - 4*h wrt h.\nAnswer: -31746*b**3*d*h + 4*d + 390*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 49398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {t: 1, y: 1, w: 1, n: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*i - 1560996 = -254964. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 418640*t - 5860979. Give v(14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n**3 - n + 1. Let y be z(1). Let h(l) = -l**3 - 8*l**2 - 15*l + 9. What is the tens digit of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100916 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 t(l) = -10 + 2*l - 2*l**2 - l**3 + 2*l**3 + 14 - 5*l**2. Suppose 0 = 94*y - 122*y - 55 + 139. Give t(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p - 2. Suppose -8*s = -5*s - 9. Suppose -3*w = 5*f - 4, -3*f - s*w - 2 = w. Let g(u) = -u - 1. Determine f*b(i) - 5*g(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/73 in -19, 2\/5, 198?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -4. Let h(g) = 2*g**2 - g. Let t be h(0). Suppose 5*f = -t*f. Is j smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311022 (base 4) in base 6?\nAnswer: -23430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19584 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3192*b + 10 + 629*b - 12 + 2 as d + s*b and give s.\nAnswer: 3821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 190, 171, 142, 97, 30?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m. Let x(v) be the first derivative of 45*v**2\/2 + 55. Give h(x(i)).\nAnswer: -90*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 75 = -420*r + 421*r, 2*w = -4*r + 30 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)\/z**(-2\/7))\/(z\/z**1)**(-6\/17) assuming z is positive.\nAnswer: z**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a factor of 128608377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 11:59 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -67 - (-30 - 36) - (-1 - 3 - -23)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908710 = -43*h - 906560 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (7 - (4 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10916*1\/(-10) + 6\/15. Suppose i = 28*v - 7*v. What is the greatest common divisor of 182 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c2b (base 13) in base 14?\nAnswer: -a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 + h**2 + h + 2. Suppose 4*l + 4 = -4. Let g be y(l). Let i be ((-1)\/2)\/(-6 + 219\/g). Is i > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618071?\nAnswer: 3, 7, 13, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24059?\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1015856, 2031718, 3047580, 4063442, 5079304, 6095166?\nAnswer: 7111028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89.84 at most as big as 1672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -497 - 62*s**2 + 537 + 3*s**3 - 16*s - 9*s**3.\nAnswer: -2*(s + 1)*(s + 10)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y*y*(y*y*y\/(y*y**(5\/3)))\/y)\/y)\/(y**(-1\/6)\/y))\/(y**(-1\/32)*y**1\/y) assuming y is positive.\nAnswer: y**(113\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92679 is divided by 30669.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2 + 2 = -4*y, 5*y = -4*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32, 113, 244, 419, 632?\n\"Answer: -l**3 + 31*l**2 - 5*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - -0.28. Let k = 63 + -63. Let x = o - k. What is x rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116706)\/33030 + (-20)\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 28 = 4*s - 2*z, -2*z - 7 = -s. Let g = s + -4. Suppose g = 3*c - 3. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 519444336 divided by 24\nAnswer: 21643514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {x: 1, j: 1, t: 3, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - 5*v + 2*v**2 + (3*v + 3*v - v)*(-3*v + v + 4*v)*(27 - 61 - 76).\nAnswer: -1098*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/29, -4, 0.46, -2\/65?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*s - 14, -3*p + 4 + 2 = 0. Let w be 13\/s + (-3)\/(-18)*3. Suppose -22*x + 495 = -w*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 12:25 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3088470, 3088552, 3088634, 3088716?\nAnswer: 3088798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8276861 is divided by 61310?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 83227 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 7 = -u - 2*u + 3, 4*u + 14*v - 16*v = 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249709?\nAnswer: 43, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -18.9. Let s = v + 1.9. Which is the closest to 2? (a) s (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -2\/13, 466, 24, 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63728088.\nAnswer: 2, 3, 503, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/384 and 29\/192.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t + 23. Let k(y) = 9*y - 15. Calculate -5*c(p) - 8*k(p).\nAnswer: -2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hllhllhllllhlh. Give prob of picking 1 h and 3 l.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**4\/4 + q**3 - 3*q**2\/2 + 4*q + 2. Let p be (-30)\/8 - 9\/36. Determine b(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7696846507.\nAnswer: 7, 53, 20746217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 3*r + 3. Let a be i(3). Let p(x) = -5*x - 3 + x**2 + 3*x**2 + x**a + 0*x**2. What is the tens digit of p(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**10)**24\/(((b*b\/(b*b**(-2\/7))*b*b)\/b)\/b)**(44\/3))**14 assuming b is positive.\nAnswer: b**3096","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b + 4*b)*(-39 - 7*b + 39)*(-3*b + b + b).\nAnswer: 49*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 7*z**2 + 11*z - 2. Suppose 2*d - 7*d = -15. Let p be (1 - d - -3)\/((-2)\/(-10)). What is the remainder when 5 is divided by t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1410130839 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-2 - 1 - -7) - -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2876.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*((-1 - 1) + -10). Let l be 56\/(-18) - 4\/(-8)*t. Which is the second smallest value? (a) -0.2 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**6\/120 - 7*v**5\/60 - v**4\/4 + 8*v**3\/3 - 22*v**2. Calculate the least common multiple of g(-6) and (-3)\/(6\/(-34)) - 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4 + 44*f**3 - 96*f**2 - 144*f = 0. Calculate f.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4034 in 1, -2\/15, 2\/7, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*f + 10 = 5*k, -4*k + 1 = -3*f. Let x(s) = -s**3 + 6*s**2 - 4*s. Let t be x(f). Suppose t*j + 3 - 13 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 3*k**2 - 4*k - 2. Let v be ((-80)\/30)\/(4\/(-6)). Calculate w(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -85*v**2 + 5\/2*v**3 + 0 + 1\/6*v**5 - 5\/42*v**7 + 0*v - 35\/24*v**4 + 1\/4*v**6 + 5\/336*v**8. Factor w(q).\nAnswer: 5*(q - 3)*(q - 1)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.486 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 6:21 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 7*s - 24. Let p be a(-7). Let k = -36 - -6. Let j be k\/(-8) + (-36)\/48. Solve j*q + 2*q + p = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o - 2*o + 5*o. Let v(p) be the second derivative of -17*p**3\/6 + 1705*p. What is v(i(l))?\nAnswer: 51*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*m**2*v**2 + 4*m**2*w**3 - 2*m**2*w**2 + 2*m*v*w**2 + 171*v**2*w**3 - v*w**2 wrt w.\nAnswer: 24*m**2 + 1026*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -2\/7 (c) -0.05 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 + 0 = -d. Let t = -334 - -418. Let p = d + t. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 1688305.\nAnswer: 20259660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59852\/9 + 6818. Is u smaller than 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -91 - -88. Let n = 2 + -3. Is n greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1, 0.09, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/((-4512)\/144))\/((-25)\/(-1)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0*k**4 - 1\/30*k**5 + 0*k**6 + 0*k + 0*k**3 + 2\/105*k**7 + 4*k**2 + 0. What is the third derivative of a(j) wrt j?\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (663\/12 - 8)\/((-2)\/(-8)). What is the highest common factor of 147 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -205, -212, -221, -232, -245, -260?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -104, -528, -952, -1376, -1800?\n\"Answer: -424*m + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/(-50))\/((-4)\/30)*3\/7. Which is the nearest to -6\/17? (a) 4 (b) n (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/j*(j\/(j\/(j**(1\/4)\/j)))\/j)\/(j**(-1)\/((j\/(j*j**6))\/j*j))*(j\/j**(2\/23)*(j*j*j**(-2\/3))\/j)\/(j**(-1))**(23\/4) assuming j is positive.\nAnswer: j**(86\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/4 - 218*a**2 - 47524*a = 0 for a.\nAnswer: -436, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19957 bigger than 20040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 278 - 258. Let s(u) = u**3 - 5*u**2 - 8*u - 3. Calculate the remainder when s(7) is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*sqrt(133) + sqrt(133))\/(sqrt(42)\/sqrt(54)).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/3))**(-3\/5))**(-48) assuming c is positive.\nAnswer: c**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198*y**2 - 6 + 6 + 0 to the form q*y**2 + u + i*y and give q.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1740)\/(-580))\/(-7*(-2)\/658)\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*j*r**2*s + 4*j*r*s**5 + r**3*s**3 - r**3 + r*s wrt s?\nAnswer: 80*j*r*s**3 + 6*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104660 divided by -1881.\nAnswer: 104660\/1881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 1. Let v(o) = 1 - 6 + 0 + 5*o. Let j(m) = -9*k(m) - 2*v(m). Find the first derivative of j(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - -5) + (865 - 863)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, v: 2, q: 6, y: 3, t: 5}. What is prob of sequence tyq?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 4. Let h be l(-4). Let k = -14 + h. Suppose -6 = -u - k*u. Solve -2*s - 4 = 3*w + 1, -u*w = -s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:09 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w**2 - w + (2 - 3 + 2)*(2*w**2 - w**2 - 2*w**2))*(0*w + 16*w**3 + 0*w).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -a57d (base 14) in base 6?\nAnswer: -340031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + 1385?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -4\/3, -16?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24779640 is divided by 4955910.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2039943 - -1082843. What is t rounded to the nearest ten thousand?\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5568.9 - 5569. Let m = 1 - 5. Let r = -269\/399 + 1\/133. Which is the biggest value? (a) m (b) h (c) r (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 - 3*f**2 + 7*f**2)*(-1336 - 1416 - 751 - 787)*(-5 - 2 + 2).\nAnswer: 21450*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323 and 366263.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, e: 4, u: 3, l: 1, s: 1}. Give prob of sequence uuua.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 46 - 31 = 4*b - 5*b, 2*b - 90 = 4*d for b.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 33*m**2 + 33*m - 29. Let t be a(32). Suppose 151*j - t = 150*j. Let w be (4\/3)\/((-3)\/(-9)). Solve w = -v + j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -19. Let x = 10 - -25. Let g be 1\/((-69)\/x + u). Solve 2*c - 15 = 5*o, 6*c = c - 2*o - g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 3 - 221*q + 2*q**3 + 3 to the form v*q**3 + k + n*q**2 + f*q and give f.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49438801*l**2*q**3*v**3 - 61*l**2*q**2 + l*q*v**3 - 1753*q**2*v**3 - q wrt q?\nAnswer: 296632806*l**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.078767 tonnes in milligrams?\nAnswer: 2078767000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -8*b - 6. Let a be k(0). Let g be a - (-186)\/30 - 8\/(-60). What is the fourth smallest value in 4, g, -1\/8, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*m = 469*m - 3*c + 9, -31 = 10*m - c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891719 is divided by 7309.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*g + 54, 4*g + g + 20 = 0. List the prime factors of 4\/22 - r\/((-2057)\/(-66286)).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + -6. Let h = 15 + q. Suppose 0 = -h*j + 2*r + 88, -r + 39 = 2*j - 22. Calculate the smallest common multiple of 22 and j.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3*s**3 + 22*o**3 - o**2*s**2 + o**2*s + 4*o*s + 23*s**5 wrt s?\nAnswer: -12*o**3*s - 2*o**2 + 460*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**4 - y**2 + y - 1. Let l(n) = 5*n**4 - 13*n**2 + 2*n - 2. Let j(w) = l(w) - 2*u(w). What is the third derivative of j(z) wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(-9)\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 + 161. Let j = o + -33. Solve j*l + 3*l - 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 s when two letters picked without replacement from ttttttttttttttttstt?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1197672412?\nAnswer: 2, 299418103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20825?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1552\/21, -11583, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/15 - 440*a + 6602\/15.\nAnswer: -2*(a - 1)*(a + 3301)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1915732 divided by 100828.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(4\/7)*y)*y*y**(1\/3))**(2\/37)\/(y**(1\/15)\/y**8*y\/(y*y**(-1\/3))*y*y\/(y\/(y\/(y**8*y))*y)) assuming y is positive.\nAnswer: y**(1648\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + a. Let i(s) = -s**2 - 26*s - 46. Let y be i(-24). Let d(k) = -k**2 - 4*k + 17. Let x(j) = y*t(j) + d(j). What is the derivative of x(w) wrt w?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*q + 33*q + 47*q)*(-10*q + 8*q - 10*q).\nAnswer: -588*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7843 divided by 1\nAnswer: 7843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5607 and 470736.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.1. Let w = p + -5. Sort w, 0.1, 1\/2 in descending order.\nAnswer: 1\/2, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*a - 336577 = 0, -5*f - 57*a + 56*a + 1682841 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9299*v**2 + 10416*v**2 - 21046*v**2 + (-4*v + 6*v - 3*v)*(3*v + v - 2*v) to the form r*v**2 + s*v + k and give r.\nAnswer: -1333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*i**3*n + 485*i**2*n + 2*i*n - 5510*n wrt i.\nAnswer: 24*i**2*n + 970*i*n + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -15*y**3 + 2*y + 2. Let j be l(-1). Solve 4 - 64 = -j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.65 + -3.15. Let k(w) = 2*w**2 - 4*w - 9. Let d be k(3). Put b, d, -0.04, 3 in descending order.\nAnswer: 3, -0.04, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -64. Let b = o - -33. Solve -2*y - 3*h = -b, -3*y - 7*h = -3*h - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4a3b6 (base 15) to base 10.\nAnswer: -8590221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7855393?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10104, -10107, -10108, -10107, -10104, -10099?\nAnswer: -10092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 61, 87, 109, 127?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 34. Suppose -2*c - 19 - b = -3*d, -25 = 5*c. Suppose 2*g + f - 3 = 0, -g - 4*f + 18 = -1. Put 3, d, g in decreasing order.\nAnswer: d, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72100674 and 897464.\nAnswer: 13198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -324, -1052, -2182, -3714, -5648, -7984, -10722?\n\"Answer: -201*m**2 - 125*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 - 3*g + 7. Let z be q(-7). Let s = -143 - z. Calculate the remainder when 91 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 12 = -3*k - 0*k, 9 = 3*c. Let o = 6 - k. Suppose -p + 5*j = -32, -o*j = -2*p - 4*j + 53. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 184. Let s = -38426 + 38431. What is the remainder when u is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 - 176 = 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -5\/26, 11\/6 in increasing order.\nAnswer: -14, -5\/26, 11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33 - -8)\/((-1)\/7). What is the greatest common factor of 75 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4704*k + 119. Let r(w) = -158*w - 4. Let c(z) = -4*l(z) - 119*r(z). Let x(m) = -75*m**2. What is x(c(j))?\nAnswer: -14700*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 + (-178 + 61 - -54)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 1. Let m be l(-2). Let j be (-5 + 8)*(-74)\/777. Let y = -30079\/37 + 813. What is the nearest to j in m, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/7 - 10*m**3\/7 - 29*m**2\/7 - 32*m\/7 - 12\/7 = 0. What is m?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20055.\nAnswer: 3, 5, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -2 - -1) + 3 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 4*m**2 + 3 - 5 + 6 as g*m + r + k*m**2 and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:27 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14615305 (base 7) to base 14\nAnswer: 285d05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 6, x: 11}. What is prob of sequence xzxz?\nAnswer: 55\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 895589399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = -0. Suppose -w*q + 3*z = 2*z - 82, -4*z - 56 = -3*q. Calculate the lowest common multiple of q and 11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -11*s - 2. Let c(x) = 11*x**3 + x**2 - x + 1. Let p be 1*3 - 10\/5. Let m be c(p). Solve -s*j - 5*z - m = 0, 2*j - 2*z - 8 = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r + 2*r + 2*r**2)*(1576*r + 557*r - 158*r - 92*r).\nAnswer: 3766*r**3 + 5649*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 3*u - 10. Let k be w(-7). What is the units digit of 4\/(-18) + k\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - w**2 + 6*w + 3. Let x(o) = -355*o + 1781. What is the remainder when k(-4) is divided by x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 30 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15150310580*f**2 - 24770700*f + 10125 = 0.\nAnswer: 45\/55046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -24. Let m be (4 - 259\/(-4)) + (-1)\/(-4). Let y = m + -63. Calculate the remainder when f is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9514 + -19025\/2. Let d = 5.06 + -5. Let w = 0.04 + d. What is the closest to 1 in -0.4, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18909 + 3132. Let u = 17118 + -53895. Let g = u - i. What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -136\/3*a**3 + 0*a - 36\/5*a**5 - 110 + 0*a**2 + 0*a**4. Find the third derivative of y(b) wrt b.\nAnswer: -864*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + -2*sqrt(325)*4 + (1 + sqrt(325))*6)**2*6*-3.\nAnswer: -24552 + 2880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 1. Let m(n) = -2*n - 1. Let c(f) = f**3 + 7*f**2 + f + 8. Let u be c(-7). Let s = u - -3. Give s*m(x) + 3*r(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c + c)*((-2*c + c + 3*c)*(2*c - 2 + 2) - 36*c**2 + 41*c**2 + 25*c**2)*(3 + 0 + 1)*(2*c**2 + c**2 - 2*c**2).\nAnswer: -272*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = j - 4*b + 1, 0 = -2*j - 4*b + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -21 - (0 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*y + 9*y**2 - 22*y + 98*y - 17*y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -57, 1, 810.4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77995251 - 74641467968\/957. Let m = c - -370\/29. What is the common denominator of 79\/30 and m?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r**3 + 236*r**2\/7 + 24*r\/7 = 0. What is r?\nAnswer: -2, -3\/28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 43\/18?\nAnswer: 43\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-114 - (2 + -1 + -4) - -22).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/9 - 2*k**3 + 10*k**2\/3 + 50*k\/9 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1575 divided by 7.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84556, 84534, 84498, 84448, 84384, 84306, 84214?\nAnswer: 84108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 375624830 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 334*h**2*n*x - 234*h**2*x**2 + 16*h*n + 38*h*x - 4*x**2 wrt h.\nAnswer: 668*n*x - 468*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -855646.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 31*y - 3250 = -193*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.369929mg to tonnes.\nAnswer: 0.000000000369929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*m - 2*m - 2*m)*(-39 + 20 + 175 + 36) in the form p + c*m and give c.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 < 109579726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0004047? (a) -4 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-4884)\/(-55))\/4)\/(2*3)*2 and -32\/1371?\nAnswer: 6855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 1\/120*r**6 - 2\/3*r**3 + 1\/30*r**5 - 5\/24*r**4 + 0*r - r**2 + 0. Suppose 6 = -2*f - 0*f. Determine x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1668?\nAnswer: -1\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is b644a (base 15) in base 12?\nAnswer: 23a667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + t**2 - 4*t + 12. Calculate b(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 500)\/(7\/136360). What is d rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -3. Let b be ((-4)\/6)\/(w\/6). Find the third derivative of 0*v**b + v - v - 5*v**3 + 3*v**2 wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2) + (-99)\/(-594)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 73 = -s, 5*b - 2*s - 178 = 2*s. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550952510 and 2410.\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpax when four letters picked without replacement from {p: 4, a: 1, x: 4, s: 6}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 4 + sqrt(7)*5 - (sqrt(7)*-4*-4 + sqrt(7)))**2 - (3 + (sqrt(7) - (sqrt(7) - (sqrt(700))**2)) + (sqrt(1008)*-3 - sqrt(1008))))*4.\nAnswer: -160*sqrt(7) + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s\/(s*s\/s**(3\/7))*s*s)*s*s*(s\/s**(2\/3))\/s)\/(s*((s**(1\/3)\/s)\/s)\/s*s*s)**(-21) assuming s is positive.\nAnswer: s**(208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*r - 104*r - 40*r)*(5*r**2 - 3*r**2 - 3*r**2) + 6*r**3 - 12*r + 12*r to d*r**3 + w + f*r**2 + a*r and give d.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 18*w - 40.\nAnswer: -2*(w - 5)*(w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 0*r. What is the third derivative of -7*n**4 + r*n**4 - 2*n**2 + 0*n**2 + 2*n**4 wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -683119 * 0.2\nAnswer: -136623.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, r: 11, h: 1}. Give prob of picking 1 o and 1 h.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023 (base 4) in base 13?\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 5. Let x(c) = -c**2 + 33. What is the remainder when x(0) is divided by q(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2187, -2199, -2213, -2229, -2247, -2267?\n\"Answer: -q**2 - 9*q - 2177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -26, 26 in ascending order.\nAnswer: -26, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57024 divided by -4.\nAnswer: -14256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/207)\/(156\/(-234)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-27)\/(-63) + 4\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23778 - 23777. What is the third smallest value in -1, q, -1\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98\/(-637) - (-115)\/(-13) - -4. Which is the closest to 0.1? (a) 706 (b) v (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v - 51*v + 329*v**2 + 84*v + 286*v**2.\nAnswer: 615*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689, 662, 635?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*s)*(1 + 0 + 0) + (2 + 1 - 4)*(616 - 1125 + 702)*(0*s + 0*s - 3*s) to t + v*s and give v.\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-2 - (0 + (7 - 5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (36 - 36 - 10*i)*(-i - i + 0*i)*(1 - 2 + 0) in the form y*i + s + j*i**2 and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575*w - 376 = 199*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612650200?\nAnswer: 2, 5, 7, 139, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgfffgfffffff. Give prob of sequence gfg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - u - 2. Suppose u*q - 458 = -p, -2*q - 1161 - 641 = -4*p. Let m = p - 3170\/7. Which is bigger: 0.2 or m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from jcujjcjjeujux.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c + 150 = -2*a, 4*a + 90 = 3*c. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from jjjjojjosojoj.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.178 (b) -0.1485 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 59393.\nAnswer: -14\/59393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1859*z - 13015. Calculate n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + (6 - 8) - 30) + -89.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/13*(-78)\/918.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*c**2 - 117*c**2 + 19*c**2 + 0*c + c**2 + 0*c - c**2 + c**2 + 2*c**2 + (-2 + 2 - c)*(-c + 3*c - 4*c) to the form s*c**2 + d + g*c and give s.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12 = -2*h, 0 = -5*h - 4 - 21. Suppose -28 = -4*d - 4*s, 0 = 5*d + 3*s - 2*s - 39. What is the lowest common multiple of k and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + g**3 - 2*g**3 + 0 + (78*g**2 + 58*g**3 - 78*g**2)*(4 - 1 - 5).\nAnswer: -117*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 400904 (base 10) in base 11?\nAnswer: 254229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 6198, 0 in decreasing order.\nAnswer: 6198, 108, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -22 + (-265)\/(-45)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:24 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 5*q**3\/3 - 6*q + 13. Determine d(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) -10 (c) 2\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + w - 130 = 0, -200 - 42 = -2*a + 4*w. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42411 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 743402.2t in kilograms?\nAnswer: 743402200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110573937 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 the common denominator of 3\/40 and 1\/2*0\/(-186) + (-13)\/(-384)?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - ba6b42a?\nAnswer: -ba6b429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i - 69. Let b be s(7). What is the greatest common divisor of 24 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from mkmmmmmmmmrmmmmmk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.36 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276602 or -276600?\nAnswer: -276602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2650996 is divided by 1205.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231404 and 820?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-161)\/(-46)*(-250280)\/(-14). Suppose 2*v + i = 5*c + 7*v, c = v + 12516. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 19*w**3 - 2*w + 2. Suppose o + 4*o = -v - 3, -3*v + 4*o = -10. Let u(k) = 94*k**3 - 11*k + 11. Determine v*u(h) - 11*q(h).\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-1 - -80 - 1)*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-49)\/154*117\/21 and 20\/(-9) + (-2)\/(-4)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 589424 and 21540768.\nAnswer: 236948448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.294 and -2477622?\nAnswer: 728420.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5920536?\nAnswer: 2, 3, 246689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.456223l in millilitres?\nAnswer: 456.223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) -0.1 (c) -128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 11:45 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75699259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 6*c - 3. Let x(j) = -j**3 + j**2. Let z be x(2). Let p be h(z). Let k = p + -29. Calculate the lowest common multiple of k and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47b4a7 (base 12) to base 5.\nAnswer: -244111231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33, -5, -69, -159, -275, -417, -585?\n\"Answer: -13*m**2 + m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, -5, -0.5 in descending order.\nAnswer: -0.5, -5, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose r = -b + 2*b. Suppose 0 = b*c - c + 3. Let n(t) = -t**2 - 2*t. Determine n(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/5)\/(78\/(-130)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4521)\/(-561) - -8*2\/(-272) - (-7)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 6\/27 + 688\/144\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a. Suppose -3*c = -4*k + 2 - 19, 4*c = 4*k + 16. Let f(n) = -3*n**3 - 18*n. Calculate k*f(r) + 18*j(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3721287249.\nAnswer: 3, 61, 6778301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -90 - 225*d - 16 - 261*d - d**2 + 454*d. Give s(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22575 and 28896?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (1\/1 - 3). Suppose -4*y + c*s = -11, -2*y + y - 5*s + 9 = 0. Suppose -572*d = -588*d + 144. Solve -d - 1 = l - y*t, 3*l - t = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -300*y**3\/7 + 24880808*y**2\/7 - 50423888*y\/7 + 1326944\/7 = 0. Calculate y.\nAnswer: 2\/75, 2, 82934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 - u**2 + 2*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**4 + 696*g**3 + 37488*g**2 - 334080*g + 691200 = 0.\nAnswer: -120, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 55 in descending order.\nAnswer: 55, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 7. Let k(i) be the third derivative of i**4\/24 + i**2. Calculate k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37982.\nAnswer: 2, 7, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 4*y - 3. Let b be l(-2). Let c(g) = -4*g - 3 - b + 2*g**2 + 1. Is 15 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.0199 - -40. What is t rounded to three dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 21*j = -175 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 2*w**7\/105 - w**6\/15 + w**4\/3 - 2*w**3\/3 + 6*w**2 - 2. What is v in x(v) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 23. Let w = -26 - -14. Let q = j - w. What is the nearest to -1 in q, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1062 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 - -145. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) + 5 + -1 + sqrt(7))*-5)**2.\nAnswer: 1800*sqrt(7) + 14575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.062 + -0.038. Which is the second smallest value? (a) 4 (b) i (c) -5 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -443*k - 634*k = 56004 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-313)\/4)\/((-88)\/(-3168)). Let x = -1412 - s. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**3 + 6*y**2 + 3*y**3 + 12*y**2 - 7*y**2 wrt y?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203544288*i**2*q**3 - 6*i**2*q**2 - 603*i*q**2 + 3*i + 209*q**2 wrt q.\nAnswer: 1221265728*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + -20110121?\nAnswer: -20110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 210?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 3*a - 2. Let z be o(-2). Let l = 53 - z. Calculate the remainder when l is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 + 61*l**2 + 9*l - 81. Calculate i(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21924 by 812.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -27 + 7. Suppose -7*h + 6 = -6*h. Suppose 5*s - 668 = -n*b, -5*b = -s + h*s - 835. List the prime factors of b.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - 3) + 4)*-1. Let p be (g\/(-3))\/(2\/18). Let i(l) = -2 - 5 + p*l**2 + 2*l + 3*l**2 + l + l**3. What is i(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101.7 + -102. Suppose 0*w - 81 = 4*h - w, 0 = h + 5*w + 36. Let s be 2\/(-3) + h\/(-18). What is the closest to 6 in 4, r, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 2414140?\nAnswer: 2414200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = 55935 - 56910. Calculate the remainder when 234 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320.138 rounded to 0 decimal places?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 30*w**2 - 13*w - 44. Let c be t(29). What is the hundreds digit of c\/(-5)*(44\/(-16) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 17. Let z be c(14). Suppose 4*q = 2*f + 3492, -1028 = z*f + 2*q + 4226. Does 10 divide f\/(-28) + (-6)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 14 - (34 + -14 - 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-1309)\/70 - (-187)\/(-110)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1780 and 22490122?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414167?\nAnswer: 3, 471389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2)*(-923)\/71?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-210)*252\/(-70) + (8 - 4).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 51*k - 1228. Let q be n(24). Let y(b) = 8*b - 36. Let c(g) = -3*g + 12. Determine q*y(u) - 11*c(u).\nAnswer: u + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 17*v**2 - 69*v - 14. What is o(-20)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2830 + 2834. What is the closest to -1\/4 in 6, -19, v, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -9, 1.22 in decreasing order.\nAnswer: 1.22, -0.9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 336445 - -36?\nAnswer: 336503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2232745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -0.1. Let s = 0.09 - 0.04. Let t = -0.15 + s. What is the smallest value in f, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4344683 divided by -620669?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 71? (a) -3 (b) -1\/4 (c) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18365260 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.03, 4, 9\/649, -1\/5, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 5*p**2 + 19*p + 73. What is the remainder when 7018 is divided by i(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73273843*f**3*o**2 - 98*f**2*o**2 - 66*f**2*o - 2*f*o + 2*o**2 + 5*o wrt f.\nAnswer: -439643058*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 33999*t**2 + 2*t - 1. Suppose 0 = -4*h - 5*m + 23, 5*m - 10 = h + m. Let b = -1 + h. Let o be l(b). Round o to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93440671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/2)\/(c**(2\/9)\/c)*(c\/c**(-1))**(-3)*(c**5\/c*c\/(c**(-2\/19)\/c))**(-10) assuming c is positive.\nAnswer: c**(-22495\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -10259 and -84121 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12969955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 50 + 9 + 25 - 42 + 20.\nAnswer: d + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1 + -8 - (-21 - -21)) + 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.065 and -48.\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 9*t. Suppose 5*q - q + 8 = 3*b, t = 2*b - 4*q - 8. Suppose 4*m - 339 = -k + 649, -3*m - 2*k + 746 = b. Does 41 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 1407*o - 9798. Give y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2148 + 86*g**2 - 1071 - 1077.\nAnswer: 86*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/70)\/((-152)\/380))\/((-20)\/(-28))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 776 + -272. Let u = p - 80. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8159321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 10*n**2 + 7*n + 3. Let v be a(-9). Let g = -27 + v. Let m(y) = 2*y**3 + 12*y**2 - 2*y - 12. Let u be m(g). Solve u*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49928 and 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*s - 206, -3*o = 1 - 7. Let h = -341\/7 + s. What is the third biggest value in -3, 5, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-9)\/(-360)*20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(14\/3)*q)\/q)**(18\/13))**(-2\/101) assuming q is positive.\nAnswer: q**(-168\/1313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 11. Determine d(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)*f**(-1\/6)*f**(2\/35)\/(f\/(f\/((f\/(f*f*f**(-3)*f)*f)\/f))) assuming f is positive.\nAnswer: f**(-443\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -76 + -5?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(6655)*2)\/(sqrt(180) - -6*(sqrt(180) + sqrt(180) + (sqrt(180) - (-1*sqrt(180) + sqrt(180))))).\nAnswer: -44*sqrt(11)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38962 + 3?\nAnswer: -3895c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -1. Let b = 41 + -31. What is the remainder when q is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5, -2, -15, -34, -59?\n\"Answer: -3*w**2 + 2*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 10*g**2 - 16*g. Let i be v(-8). Let o(u) = u. Let p be o(1). Suppose -5 - p = -2*d. Solve i*t + d = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5069772 is divided by 2902?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 83 = 4*y, 4*y - 7*p + 3*p = 84. Let a = 6 + y. Solve 2*c = -3*m + 5*c - 24, -2*c = -5*m - a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277233 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: Is 401861706 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 5:22 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4 + 11038*s**3 - 44125*s**2 - 121368*s - 66204 = 0?\nAnswer: -1, 6, 11034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/30860028 and 71\/342?\nAnswer: 30860028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1)*195\/(-325). Let n(y) = y + 4. Let p be n(-4). Factor -3\/5*c**3 + 3\/5*c**5 + p - r*c**2 + 3\/5*c**4 + 0*c.\nAnswer: 3*c**2*(c - 1)*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 45 = 5*n - 2*d - 2, 0 = -2*n - 4*d - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**3\/7 + 29666211*y**2\/7 + 10477197727239*y + 220020885276201\/7 = 0.\nAnswer: -4944367, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/((-45)\/10) + 6. Suppose 5*n - 33 = -2*x, w*n - 8*n = 2*x - 28. Find the third derivative of 78*s**x - 78*s**4 - 29*s**6 - 16*s**2 wrt s.\nAnswer: -3480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b475 + 538d?\nAnswer: -60c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1450 - -1458. Suppose 2*d = 4*d - 20. What is the greatest common factor of m and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1135, 1991, 2575, 2887, 2927?\nAnswer: 2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1748628.808 to the nearest one hundred.\nAnswer: -1748600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.166 (b) 1\/5 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2916)*-1 + sqrt(144)*6))\/((-1*sqrt(120)*-1)\/(-2*sqrt(160))).\nAnswer: -144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 1. Suppose 2*p = -2*r + 8, -r = 4*p - 13 - 3. Let w be (p\/3)\/(1\/(-3)) + 1. Let g be l(w). Which is smaller: g or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + 26*n + 14. Let k be u(11). Does -63 = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w - 70. Let x(l) = -3*l + 70. What is -2*q(n) - 3*x(n)?\nAnswer: n - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -24) + -73 + 111 + -10\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2) - 7\/(-1). Suppose 3*m = l*m - 48. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2162216943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 2*v - 1. Let b be y(-2). Sort -1, 0, b in ascending order.\nAnswer: -1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10703 = 6*h + 1757. Is h a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*n**3*p**2 - n**3*r*z - 34*n**2*p**2*z + 11*n**2*p*r*z - 2*n*p**2*r + n*p - 167*r*z wrt p?\nAnswer: 78*n**3 - 68*n**2*z - 4*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -249b1 (base 12) to base 14.\nAnswer: -14221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 25144*m**2 + 5*m**2 + 25142*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (1 - -2) - -1. Suppose 0 = 2*j - 0*j - 2*a, 0 = 2*j - 3*a + w. Factor 4*t**3 + 2*t - j*t**4 - 2*t + 2*t + 2*t**3 - 6*t**2.\nAnswer: -2*t*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, d: 1, g: 2, c: 8, i: 2}. What is prob of sequence cigi?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (45 + 4070\/(-88))*16\/670\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 13.9 (b) 0.243 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/38164599 and 62\/3?\nAnswer: 38164599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, 3\/2, -5.\nAnswer: -5, -2, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1350 and -51\/19168.\nAnswer: 12938400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -8. What is the derivative of -13*v + l*v - 22 + 2*v**4 - 18 - 15*v wrt v?\nAnswer: 8*v**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -242.9 in 7, -0.13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -6)*3\/(-6). Let p be y\/(-1) + (-1)\/(-1). Suppose -b + 822 + 140 = p*t, -6 = -3*b. What is t rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 - 81*t**2 - 264*t - 180 = 0. Calculate t.\nAnswer: -2, -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31929736 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.091 - -43.091. Let d = 85 - t. Let u = -42.05 + d. Is u equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19101 - 34657\/2. Let w = z - 1701. Let f = 71 - w. Which is the biggest value? (a) 2 (b) -0.4 (c) -0.3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5391 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 81 - i - 171 + 54 - 60. Is d(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*n = 20, -13*n - 12 = 3*p - 11*n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*w + 22*w = 5006 + 18004. Let h(t) = 7*t - 10. Let k be h(7). Calculate the highest common factor of w and k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34338, -137355, -309120, -549693, -859134, -1237503, -1684860, -2201265?\nAnswer: -2786778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 339794997, 679589991, 1019384985, 1359179979, 1698974973?\n\"Answer: 339794994*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4266 a factor of 4281464306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 5491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 24*g - 307. Give s(7).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134660357 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(-7)\/42 - -2159 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyffyyyyfyyy?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 1260?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3916 and 2136.\nAnswer: 23496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1418 + 426820\/301. Suppose 4*h + 7 = -5*z - 14, -h + 3*z = -16. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32787 divided by 3?\nAnswer: 10929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (30 + -17) - (1 - (1 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154721294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 8*h + 2*h + (-4 - 5*h + 4)*(-1 + 3 + 0).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*l + l - 45, 4*r = -2*l + 30. Solve 20 = -r*s - 2*d, -3 = -s + 2*d - d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -2*q**6\/15 + 976*q**5\/5 + 3024*q. Solve l(m) = 0.\nAnswer: 0, 976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**4 - 2*z**3\/3 - z**2 - 8. Let u be h(-1). What is the units digit of u\/(-2)*48\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -21*n + 45*n + 44*n + 28*n + 0 - 1. Let m(t) = -14*t**2. Give m(o(c)).\nAnswer: -129024*c**2 + 2688*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5951958?\nAnswer: 2, 3, 103, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.585047 millennia to decades.\nAnswer: 358.5047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*v = 18214 - 17428 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 267212, 267277, 267342, 267407, 267472, 267537?\n\"Answer: 65*j + 267147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 92, 189, 286, 383, 480?\n\"Answer: 97*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 836780 divided by -3892\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5*a = -2. Let z be 3 - 2*a\/4*0. Is -3 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -3*r**5\/2 - 25*r**3\/6 + 30*r. Let t(p) = 5*p**3 + 4*p. Give -25*t(z) - 4*w(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -218\/89 (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022122112000 (base 3) in base 4?\nAnswer: -12232303032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxkxxkkxxxxx. Give prob of sequence kkkx.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -340 - -342. What is the second derivative of d*m**3 + 51*m - 17*m - 19*m**3 - 2 - 4*m wrt m?\nAnswer: -102*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 13*m**2 - 47*m - 10. Let o(r) = -10*r**2 + 2*r - 2. Let d(c) = -l(c) - 2*o(c). Calculate d(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*o - 7*p + 15, -3*p = -4*o - 9. Find the second derivative of -27*t**3 + t + t + o + 0 wrt t.\nAnswer: -162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 0*y + (-10 + 5 - 22)*(0*y - 3*y + 5*y) + 6 - 6 - 2*y)*(3 + 1 - 3)*(-5 + 4 + 2).\nAnswer: -57*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*l + 33 = -3*n, -32 = -4*n - 5*l. Let a be (-378)\/130 + n\/5 + -2. Is -2 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -5*z + 10606, 3147 + 1095 = 2*z - 2*y. What is the remainder when z is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 + -14895?\nAnswer: -148c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20860 + 20856. Let g(t) = t**3 - 3*t**2 - t - 2. Let i(m) = 2*m**2 + 2. Give n*i(r) - 3*g(r).\nAnswer: -3*r**3 + r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 8*r - 6. Let z be i(-5). Let u = -11 - z. Let a = -10 + 14. Solve 15 = 5*o - 4*w, a*o + u*w - 12 = w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227673431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -352886, -352884, -352882, -352880, -352878, -352876?\nAnswer: -352874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -9. Let g be 1 - (4 - t - 0). Let q(y) = -y**2 - y - 1. Give q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(48) + sqrt(48))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112201 (base 3) to base 11.\nAnswer: -934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 19*o**5\/40 - 5*o**4\/24 + 7*o**3\/6 - 11*o. Let w(f) be the second derivative of p(f). Is w(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-25)\/10*(-2)\/(-1) - -1480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - c68f99?\nAnswer: -c68f94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*-1 - sqrt(1728) - sqrt(27))\/sqrt(9).\nAnswer: -17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c**(-8\/7)\/c))\/c**(1\/3))\/(((c**(-2\/3)*c)\/c*c)\/c)**49 assuming c is positive.\nAnswer: c**(745\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 13*d**2 + 11*d - 10. Let g be x(-12). Suppose 395 = 2*h + 3*c, 0 = -0*h - h - g*c + 195. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133 - 24?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 14*t**3 - 62154*t**2 + 35506*t + 26634 = 0.\nAnswer: -3\/7, 1, 4439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588 and 14?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(1\/(8\/12)). List the prime factors of (-1)\/m + 621\/36.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1392\/7 (b) 5 (c) -13 (d) 2 (e) -155\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22894413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u**3 + 17*u**3 + 13*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87804 and 58536?\nAnswer: 175608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73766 - 983580 = 23600*h + 285202 - 233348 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 4*c**2 + 6*c - 5. Let z be i(5). Let p = 4 + z. Suppose j = 5*u - 109, p*j + 51 + 70 = 5*u. Calculate the highest common factor of u and 126.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*w**4 + 2*w**3 - 2*w**2 + 64571*w - 176139721.\nAnswer: 24*w**3 + 6*w**2 - 4*w + 64571","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (134 - 53*w - 134)*(-4*w + 5*w + 0*w)*(412 - 154 - 147) to m + t*w**2 + u*w and give t.\nAnswer: -5883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 5 - 5*h**2 + 5*h**2 - 4*h**2.\nAnswer: -3*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119.068 + -0.832. Let s = l - -120. Let w = -129 + 128. Which is the nearest to w? (a) -2 (b) s (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4656 divided by 24.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z - 5. Let d(h) = 20*h + 14. Suppose 9*v - 29 = 79. Suppose -90*n - v = -88*n. What is n*d(p) - 17*r(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2ac022 - -124?\nAnswer: 2ac146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12735 less than or equal to 12736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*u = -60, 84 = s + 3*s - u. Sort -4\/5, 0.3, s in ascending order.\nAnswer: -4\/5, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. What is the second derivative of -6*x + 5*x**3 - 2*x**3 + j*x wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 47, 0.3, 9, -0.2, -4, -1.95, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-4)*(5\/(-15)*7 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {i: 1, n: 3, p: 1, z: 4, v: 1, a: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 3}. Give prob of sequence gg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.985 - -0.015. What is the nearest to -1 in u, 1\/17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11742960 and 5650.\nAnswer: 58714800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 7*n - 18*n**3 - 14*n**3 + n + 45*n**3 - 3 - 12*n**2 - 33*n**3. Let c(g) = -11*g**3 - 7*g**2 + 4*g - 2. Let q(f) = -11*c(f) + 6*s(f). What is q(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -987*g**2. Let m(a) = -49*a - 53. What is m(p(j))?\nAnswer: 48363*j**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.306*-54412.\nAnswer: -16650.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + -7)*72\/(-3). Suppose 3*l = -l + j. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 17. Let w(u) = u**2 - 8*u - 18. Let d be w(m). Suppose -d*s = -3*j + s + 21, 3*j - 4*s - 21 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -15. Which is the closest to -2? (a) 2 (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -24 - p - 3*p**2 + 1\/6*p**3. What is r(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3701367?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 48, -1, -3, 3.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 11*d**2 - 2*d**2 - 6*d**2 - d - 2*d**2. Let y(t) = -6*t**3 - 3*t**2 + 2*t. Calculate 3*y(s) + 8*z(s).\nAnswer: -2*s**3 - s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkr when three letters picked without replacement from aklvlkkrlff.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r + 28. Calculate h(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veegzezevzgegzeggg. Give prob of sequence gz.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/22*484\/88.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/5)\/60*14\/(-1)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459 is divided by 182.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463291351?\nAnswer: 4337, 106823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -82.1. Sort -1\/5, -4, -1\/8, f in decreasing order.\nAnswer: f, -1\/8, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.37 (b) -4 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 198*j + 4576. What is m(-62)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 18*l + 9. Let q be u(-18). Is 5163\/q + 12\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - 50. Suppose -4*x = -8*x - 8. Let b be ((-3)\/x - 2)*t. Put -1, -2, b in descending order.\nAnswer: -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*q + 164*q - 115*q + 66 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29814, -59629, -89444, -119259, -149074?\nAnswer: -178889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t. Let p(b) = -b**2 + b + 4. Let r be p(0). Let s(z) = 0*z - z - 5*z + r*z. What is s(n(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**2 + 5. Let t be b(-4). Let s = -110 - t. Are s and 9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fghffdfg. What is prob of picking 2 g, 1 f, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1188 divided by -1116.\nAnswer: -33\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5872*x**3 - 1958*x**3 - 1952*x**3 - 1960*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116214 - 5244?\nAnswer: 110640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/11 + 29\/(638\/(-612)). Let o = 9 - g. Calculate the remainder when 125 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - d + 14 = -0*d, -2*q + 671 = 2*d + 639 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4193\/275984 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 3. Let v(r) = -r + 1. Let p(b) = 2*a(b) + 6*v(b). Let k(j) = 12*j. Calculate p(k(o)).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 19750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -4461\nAnswer: -22305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 28. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 3*f**2 - 6*f. Let t(r) be the second derivative of r**5\/10 - r**4\/6 + 5*r**3\/6 + 15*r. Give -2*i(p) - 3*t(p).\nAnswer: -2*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/39, -22, 106?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 9 + f**4 + 0*f + 2*f to j*f**3 + h*f + l + a*f**4 + p*f**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1\/h**(-7\/3))\/(h**(3\/2)\/(h\/h**(4\/11))) assuming h is positive.\nAnswer: h**(163\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 3 (b) 0.21 (c) -3 (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -14, -8, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1143541 (base 6) to base 11.\nAnswer: 41482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3059995291?\nAnswer: 17, 29, 233, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 4*q**2 - q + 2. Does 4 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 3*h**2 + 0*h**2)*(456*h - 456*h + 75*h**2 + 2*h**2 - 1 + 1 + h**2 - 4*h + 4*h + (3*h - 5*h + 3*h)*(h + 4*h - 4*h) + h - h + 2*h**2).\nAnswer: 81*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 268*u - 54456. Calculate t(135).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19915?\nAnswer: 5, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 39 = 2*p, -2*p + 2 = 4*a - 42. Let j be ((-8)\/p)\/(1\/(-10)). Solve j*i = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665075612 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487497.099992 + -487495. Let s = -2.1 + p. What is s rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314751770 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*o + 3, 4*z + 4*o - 9 = -z. Suppose -g - z = 1. What are the prime factors of (g + 1)\/(2\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 12, -0.086, -0.007, 4, 3, -5?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 = -3*x - 4*x, 2*j = -3*x + 88 + 41 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 15. Let v = -5 + z. Let n be 2\/(7\/(70\/v)). What is the greatest common divisor of 35 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -3) + (-3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4\/3 (b) 3 (c) 2\/7 (d) 2287064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 221 and 33608813?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 625, 960, 1327, 1738, 2205?\nAnswer: 2740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**46\/((p*p\/p**(-1\/4))\/(p\/p**(-6)*p)) assuming p is positive.\nAnswer: p**(575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1099, -2132, -3163, -4192, -5219, -6244, -7267?\nAnswer: -8288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (3320\/70)\/((-2)\/(-7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 489870175.\nAnswer: 2939221050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111201 (base 3) to base 11.\nAnswer: -90a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 491 - 494 - ((-4 - 0) + -20)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*760498.\nAnswer: 4562988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 14130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -8, -2 in decreasing order.\nAnswer: 11, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -44 (b) -0.6 (c) -1\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2)*(-1 - 4). Let x = -0.6 + 0. Let w = 0.1 + x. Which is the smallest value? (a) -2\/7 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1564 and 667759.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**3\/6 - 5*w**2 - 6*w. Let i be f(10). Round i to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33002 (base 5) in base 7?\nAnswer: 6365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2319844, -2319839, -2319832, -2319823?\nAnswer: -2319812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -145942 divided by -552\nAnswer: 72971\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 173256101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7568 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -6 (b) 21 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5\/3 - 382*a**4\/3 + 1958*a**3\/3 + 2044*a**2\/3 - 1928*a + 720 = 0.\nAnswer: -2, 1\/2, 1, 6, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6278 and 4307.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25416553*v**3*w - 913331*v**3 + 2*v**2 + 38*v - 1 wrt w?\nAnswer: -25416553*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11054722 - 0?\nAnswer: -11054722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 2*y - 235*y**2 + 39*y**2 - 897*y**2.\nAnswer: -1093*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -89047 (b) 10 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*a - 19, -3*o = -4*a + 2*o + 24. What is the remainder when 4 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 c(i) = 2404 + i**3 + 8*i - 1193 + i**2 - 1205. What is c(-3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22361*o*x**4 + 1102*o*x - 250*o + 11950 wrt x?\nAnswer: -89444*o*x**3 + 1102*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 692 divide 26005303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 41*u + 32*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62687 - 2758171\/44. Let x(f) = -277*f + 1. Let h be x(-2). Find the common denominator of 6\/(-10)*h\/42 and m.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 25872\/17?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 14) in base 9?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 571989 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6 = -l. Suppose 3*i + 145 = 2*u, -l*i - 12 = i. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4570644 is divided by 4712.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4b718 (base 14) to base 5\nAnswer: 21411432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 855.\nAnswer: 85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5) + 12\/(-24). What is the second smallest value in -1\/7, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519 < 119663\/231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -988, -999, -1010, -1021?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.507*59\nAnswer: -147.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 473856 to the power of 1\/2, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3 = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/15)*q*((q**(-1\/3)*q)\/q)\/q)\/(q**(1\/5)*q**6) assuming q is positive.\nAnswer: q**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26966, 27065, 27164, 27263, 27362?\n\"Answer: 99*u + 26867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 11. Let i = 0.09 + 8.91. Let f = 4 - i. What is the second biggest value in -1\/5, z, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.1 (b) -2\/3 (c) 0.3 (d) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**16\/r)\/(r**(-3\/7)\/r))**20 assuming r is positive.\nAnswer: r**(2300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -55. Sort 3, d, 0.1, -3\/7.\nAnswer: d, -3\/7, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1237, 3, 2, -21, -155 in ascending order.\nAnswer: -1237, -155, -21, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*l + 320, 2*f = -l - 4*l + 788. What is the remainder when l is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + 4*(sqrt(38) + sqrt(4598)))\/(-4*(sqrt(4)\/sqrt(2) + sqrt(2))).\nAnswer: -49*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -617*s**9\/168 - 293*s**5\/60 - 8*s**2 - 23*s. Find the third derivative of u(l) wrt l.\nAnswer: -222120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*d**2 + d**5 + 145*d**4 + 39*d**2 + 7*d**3 - 197*d**3 - 16*d**5 = 0. Calculate d.\nAnswer: -1\/3, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105691558.\nAnswer: 2, 7, 1619, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, r: 6}. Give prob of picking 3 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84761614.5 rounded to the nearest 1000000?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -94 != 0.055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2558192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**2 - 3 - 30*j + 2 - 13*j**2 - 8*j**2 + 35*j**2 in the form x*j**2 + f*j + n and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1109 + 1034. What is the nearest to 2\/5 in v, -1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 10:18 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:49 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o. Let w(s) = 232321*s - 110. Give n(w(c)).\nAnswer: 696963*c - 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2745601?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1961 + 1.61858. What is n rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 25. Let d(f) = 9*f - 79. Determine -3*d(k) + 8*u(k).\nAnswer: -3*k + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 - 44*y + 206. Let l be b(9). What is the highest common divisor of 477 and l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9248 = 9*v. Suppose 5*n + 1184 + v = 0. Let m = n + 315. Round m to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from rrrrorrorrrlrr.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowfooug. What is prob of picking 1 o and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -19. Calculate the remainder when b is divided by ((-225)\/180)\/(2\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 2*z + 5*i, 33*i = 38*i + 20. What is the greatest common factor of 872 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1415 - 1387. What is the remainder when 175 is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*u - 13, 39 = -3*y + 4*u + 4. Let k be (-1)\/10*(5 + y). Sort 1, -1\/7, k, -5 in increasing order.\nAnswer: -5, -1\/7, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439 - -459. Solve 0 = 3*d + d - s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**1\/f)\/f)**37*(f**(-2\/5))**(-42))**(-12\/19))**17 assuming f is positive.\nAnswer: f**(20604\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*h - 9. Let o be (92\/6)\/((-3)\/h). What are the prime factors of 3\/(-12)*(2 - 0)*o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 331379 and 211432?\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(500))**2 + (5 + sqrt(45))**2.\nAnswer: 30*sqrt(5) + 570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(4) - sqrt(4)) + sqrt(4))\/sqrt(2) - -4*sqrt(32))**2 - (5 + (-4*3*sqrt(6))\/sqrt(3)).\nAnswer: 12*sqrt(2) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 155*l + 31. What is b(-77)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.46208 hours in seconds?\nAnswer: 59263.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 8\/9*r**3 + 1\/15*r**5 + 0*r - 1\/180*r**6 - 3*r**2 + 0 - 1\/3*r**4. Factor k(n).\nAnswer: -2*(n - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 12. Let z(s) = -9*s - 6. Let n(m) = -m + 2*m + 0*m + 1. Let y(q) = v*n(q) + z(q). Let h(b) = -b. Give h(y(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.00505 + -61.72505. What is n rounded to the nearest integer?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(63))\/sqrt(9) - (3 + sqrt(7) + 0)) + -3 + -4)**2*4.\nAnswer: 160*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 5. Let c = 169 + -176. Determine q(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6440.04 years to millennia.\nAnswer: 6.44004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 191*w**4\/4 + 10*w**3\/3 - 2*w**2 - 790*w. Find the second derivative of i(d) wrt d.\nAnswer: 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.23 + 27.03. Let f = -17 + p. Let n = f + -10. Sort 5\/3, n, 0.4.\nAnswer: n, 0.4, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70937 plus 4?\nAnswer: 70941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87182*h**2 - 174380*h**2 + 87200*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172591*l**4 + 11*l**3 - 311821901*l**2.\nAnswer: 4142184*l + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*s = 149*s - 4*c + 3416, -4*s + 3381 = -c. Calculate the highest common factor of s and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9 = -90. Suppose 0 = d - 3, -4*u = 5*d - y + 20. What is the greatest common factor of 40 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460.666 micrograms to milligrams.\nAnswer: 0.460666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.27 * -0.4\nAnswer: -1.708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -42*w. Let u(t) = -28*t**2 + t. Let g(p) = -3*p**2. Let b(y) = 45*g(y) - 5*u(y). Give b(d(c)).\nAnswer: 8820*c**2 + 210*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 438\/7 - 62. Let v = -19\/21 + x. Let c(p) = -p + 8. Let j be c(9). What is the nearest to j in v, -4, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + o = 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-20 + (24 - -47))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785*p + 17 = 768*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(-5)\/z)))\/(z**(-2)*z)*z*z\/((z\/((z\/(z**3*z)*z*z)\/z*z))\/z*z)*(z\/z**(-5))\/z assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -106. Let x(z) = -z**3 + 47*z - 10. Let f be x(-7). Suppose -67 = -5*q - 2*j, f*q + 5*j = 62 - 22. Calculate the remainder when o is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(((t*t**(-1\/4))\/t)\/t)*t**(1\/12))\/(t**2)**5)**(-37))**5 assuming t is positive.\nAnswer: t**(4255\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27085.6 and 0.0051269?\nAnswer: 27085.5948731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 8. Let t = z + 23. Let r be -1 - 14*(-6)\/4. Solve t*j = 5*j - r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41282068 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 0 - 11*d - 191*d**2 + 181*d**2 + 2. Give s(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (450\/(-8))\/(17\/136000). What is r rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 541, 540, 531, 514, 489?\n\"Answer: -4*o**2 + 11*o + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69.004*43.6.\nAnswer: -3008.5744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let u be n(-2). Suppose -1 = -2*z + 3. Solve 0*t = 5*a - z*t - 17, -4*a = u*t - 36 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/40295780 and -113\/2370340?\nAnswer: 40295780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -32 + (-38 + 28 - (-3 - -1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -137227 plus -9?\nAnswer: -137236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 501 + -508. Let k(s) = s**3 + 3*s**2 - 2*s - 2. Let o(u) = -11*u + 3*u + 2*u**3 - 7 + 10*u**2 + u. Determine t*k(w) + 2*o(w).\nAnswer: -3*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eyeveeeeecycycyvvve.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -4, -1.\nAnswer: -7, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*h**4 - 750*h**3 + 20*h**2 - 111*h wrt h?\nAnswer: -648*h - 4500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -3*p + 5*p**5 + 1\/3*p**7 + 20\/3*p**4 + 0 + 2*p**2 + 5*p**3 + 2*p**6. Factor r(k).\nAnswer: 2*(k + 1)**4*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3\/9 + 164*q**2\/9 + 1520*q\/9 + 3712\/9 = 0 for q.\nAnswer: -29, -8, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + 44. Suppose -6*b + 2*b = 3*x - 79, -2*x + i = 3*b. Let f(n) = -5*n - 4. Let j be f(-3). Calculate the highest common divisor of b and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 78 = 12*v. Suppose -y + v = 3. Solve -4*d - y = -26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 5, -2\/17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + u**3 + 4*u**2 - u.\nAnswer: -u*(u - 1)*(u + 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 137\/2 (b) -4 (c) -6300 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*p - 46*p - 59, 4*k - 41 = -5*p for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0 - (-2 + 1)) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-51)\/6 - -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 - 2) - (-17 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**2 - 6*r. Suppose -157*w - 15 = -152*w. Let i(n) = -5*n**2 - 7*n. What is w*i(m) + 4*j(m)?\nAnswer: -m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqxeexqxxqqxx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.5, -6, 1, -4\/15 in ascending order.\nAnswer: -6, -0.5, -0.4, -4\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 20 = -8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/28 and 4 - (-452)\/(-32) - 1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/2*u**2 - 1\/2*u**3 + 275\/2 - 135\/2*u.\nAnswer: -(u - 11)*(u - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + 783746?\nAnswer: 783770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, 62.3, -1\/96, -3, -1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6310 minus 0.15178?\nAnswer: -6310.15178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 43*n + 116 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 148 + 220 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/15 + 2\/3*w**3 - 8\/3*w + 4\/15*w**2 = 0. What is w?\nAnswer: -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t - 45. Let l(x) = x**2 - 4. Let s be l(-3). Let a = -3 + s. Calculate the lowest common multiple of a and r(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(196)*-6)\/(sqrt(56)\/(sqrt(32)*-2 + sqrt(8) + sqrt(8)))*-5.\nAnswer: -480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m + 7. Calculate v(-11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 7) in base 15?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6779 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*h - 9958, -34*h + 5*f = -35*h + 4997. Does 28 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648\/(-37080) + (-194)\/(-315)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4697.\nAnswer: 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22190?\nAnswer: 2, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24171 + 0?\nAnswer: 24171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d + 3. Let m be w(-7). Let y(u) = -3*u + 787*u**2 + 737*u**2 - 6 - 111*u**2. Let i be y(m). What is i rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k - 2*x, -2*x + 5*x = 3*k - 3. Let d(l) = 2 - 1 - 20*l + k. What is the remainder when d(-5) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 164844349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 94. Suppose 2*s + 5*c = 2297 + 122, -6013 = -f*s - c. 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 next term in 562, 4195, 14048, 33229, 64846?\nAnswer: 112007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 68*p = -63*p + 11462, 5*q - p - 19074 = 0. What are the prime factors of q?\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116295\/29 or 4010?\nAnswer: 116295\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 448 and 56?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 7. Suppose d + 0*d = -2*s + 3, 2 = -2*s. Let t be d*2\/10 + 3. Calculate the greatest common divisor of n and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/644472 and -76\/8343?\nAnswer: 597425544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -21. Let b be 10\/(-24) - 2\/6. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356435.\nAnswer: 3, 5, 43, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -1650*l**2 + 48558 - 3864*l**2 - 2390*l**2 + 26511 + 2*l**5 + 332*l**3 - 22169 + 9890*l + 76*l**4 = 0.\nAnswer: -23, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13390322 divided by -6.\nAnswer: 6695161\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 1042*j**2 - 244229*j + 12508012.\nAnswer: -(j - 43)*(j + 484)*(j + 601)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.3, 4\/111, -4 in descending order.\nAnswer: 6, 0.3, 4\/111, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + (37 - 17) + 41567.\nAnswer: 2, 17, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3081 + -1404. Is l a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(36)*-1 - sqrt(36)))\/sqrt(12)*2 + sqrt(6)\/(sqrt(2) + sqrt(32))*2.\nAnswer: 32*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-27)\/1080*72?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of (4524\/117)\/(4\/570)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 8*d - 5. Suppose 0 = 3*n - 4*u - u + 14, -3*n = -2*u + 2. Let o be 0*(1 - (-2)\/(-4)). Solve n*l - 5 - d = o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 5*z**3 - 3*z**2 - 3*z**3 + (3*z**2 - 3*z**2 + 2*z**2)*(-2*z + 0 + 0) + 3*z**3 - 5*z**3 + 4*z**3 + 2*z**3 + 2*z**3 - 3*z**3.\nAnswer: z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2*q + 43*l**2 + 182*l*q wrt l?\nAnswer: 6*q + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720 a factor of 1752845120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -15*y**5 + 54*y**4 - 36*y**3 - 24*y**2 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 11 + 524 = -5*x, -3*x - 4*p = 316. Let t = x - -449\/4. Which is the closest to -1? (a) -7 (b) t (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29699 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -12 - (11 - 5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -397037 at most -396994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1851, -4 in increasing order.\nAnswer: -1851, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1809849?\nAnswer: -7239396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4747 or 0.519?\nAnswer: 4747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 1088*f + 32767. What is u(-31)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 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: Let i(r) = r + 1. Let o(x) = -3*x - 3. Let g(s) = -7*i(s) - 2*o(s). What is the units digit of g(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 98 = 5*y. What is the highest common divisor of 30 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74679 - 32816. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1) + 390\/117. Is 190 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**4\/24 + v**3 - 11*v**2. Suppose -5*l - 3*b + 16 = -8, 0 = 5*l + 5*b - 20. Let k be p(l). Solve 4*w - 2*w + 2 = k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1136 * -0.5.\nAnswer: 0.0568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*b - 20*b - 545 - 547 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 8, f: 2, p: 2, c: 1}. What is prob of picking 1 p and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 187474684, 374949367, 562424050, 749898733, 937373416, 1124848099?\nAnswer: 1312322782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -106. Let c(v) = -10*v + 14 - 5*v - 3. Is 25 a factor of c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1, -3\/5, -4, -39\/2, 0.3, -30.78?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74670 is divided by 37333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029342 to 4 dps.\nAnswer: 0.0293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30 - 141572*d - 571*d**3 - 93*d**3 + 141572*d + 8*d**2 wrt d.\nAnswer: -3984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120001112021 (base 3) to base 11.\nAnswer: 192728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**3 - s**2 - 9*s + 11. What is f(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 46?\nAnswer: 48\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**2\/3 + 37160*z = 0.\nAnswer: 0, 22296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*s**2 - 410*s**2 + 56*s**2)*(-2 + 0 + 0)*(-3*s + 3 + s - 4) in the form v*s**3 + m*s**2 + o*s + c and give m.\nAnswer: -782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 280295551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.2 (c) -2\/7 (d) 21.8 (e) 1 (f) 3\/14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4393*t*u**3 + 5*t*u**2 + 153241*t*u + 1568*u**3 + u - 1 wrt u?\nAnswer: -26358*t + 9408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, and 1 l when three letters picked without replacement from {l: 1, p: 3, k: 2, h: 3, i: 1, q: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 593 + -102. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.055 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = 4*s - 104, 5*s = -10. Suppose -199 + 3679 = -5*r. Let y be r\/(-44) + 4\/22. Calculate the highest common factor of q and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -7, 60, 5, 3\/14, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*k - 36, -5*o = -5*k - 1 - 14. Solve 0 = -2*v + 2 + o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -285273*u**3 + 296899*u**2.\nAnswer: -1711638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/5)\/((-7)\/(-35)). Let b(y) = 9*y - 20. Let n(r) = -2. Let u(g) = 2*b(g) - 14*n(g). Let h be u(v). What is the greatest common divisor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 3*h**2 + 6*h - 4. Let r be f(4). Let i(g) = 8*g + 1. Let d be i(3). Suppose 3 = r*z - d. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*l - 142 - 183 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688 + 678 = 124*d + 374 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126 - 261*w**3 - 96 + 78 wrt w?\nAnswer: -783*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 32 = -5*n, -27*c + 25*c = -n - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212910 + 212910 - 2631*i.\nAnswer: -2631*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.19 - -0.01. Let k be 1 - (2\/(-4))\/(-1). Let y = 0.4 - -4.6. Which is the smallest value? (a) j (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f. Let z be 3 - -1*1\/1. Let p be w(z). Solve 4*r - y - 1 - 21 = 0, 0 = 2*r - 3*y - p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 - 6*a - 132. What is c(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u**5\/u)))*u)**(1\/13))**25 assuming u is positive.\nAnswer: u**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 68 = -2*i + 5*g, 4*g + 414 = -13*i + 27*i for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 16*o - 2*n - 329355 = 0, -987995 = -3*o - 4*n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 5*j**3\/3 - 5*j**2\/2 - 51*j - 3. Let m(c) = 9*c - 4. Give 5*m(h) - 4*o(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264 + -348722735995.\nAnswer: -348722735731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -218 - -91. Let f = z - -126.99568. Round f to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15 = -6*k. Suppose -i + k*i - 5*a - 8 = 0, -4*i + a + 16 = 0. Suppose i*u + f - 17 = 0, -3*f - 9 = -u + 5. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*(-24)\/18?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -855 - -871. Solve -x = -4*j - i, -j - 25 + 2 = -5*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41893670 divided by -31499?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -t - 28. Solve -t = 2*w - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -49. List the prime factors of (i - 24)*(-134)\/6.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 10*a**2 - 3*a + 3. Let r be n(-10). Let s be 4\/(12\/279)*(-15)\/9. Let q = s - -166. What is the highest common divisor of q and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86*0.651148.\nAnswer: 55.998728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 2 + -3 + 1 + 13 + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljk when three letters picked without replacement from {j: 2, k: 1, z: 1, l: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and -1.74.\nAnswer: -1.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1179, 1065, 879, 585, 147, -471?\n\"Answer: -6*u**3 - 72*u + 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1794)\/(-117) + (-6 - 9))\/((-1)\/33) + -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*o + 21 - 9 = 0, r = 5*o - 3. Let q be (2 + -3)\/(r + 960\/321). What is the second derivative of -24*h - 209*h**4 + q*h**4 - 8*h + 136*h**4 wrt h?\nAnswer: 408*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11272 is divided by 376?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 + 58 = -20*m. Suppose -2*q - 4*q - m = 0. Which is bigger: -7\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (25\/20)\/((-2)\/32). Let d = 13 + o. Let t be d\/(-3) - (-4)\/(-2). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -65, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -4 + 0)*(-1453)\/1453?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132564 is divided by 245?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11044228 (base 10) to base 11.\nAnswer: 6263768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-26))\/(66\/39)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + p**2 - 5*p**2)*(7*p**2 + 77 - 77)*(-1 - 2 + 5).\nAnswer: -28*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2184 = -2*k - 2*k + 4*g, 15 = -5*g. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {k: 2, x: 1, p: 10, f: 1, o: 6}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 626 (b) -0.16 (c) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 4*f**2 - 3*f + 6. Let g be d(4). Let s be 4\/g - (-130)\/(-30). What is the second smallest value in -3, s, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(3 - 21\/6). Let g = -5 - d. Suppose 4*u = 13 + g. Solve -2*s + f - u = 0, s + 3*f + 5 = 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-253476)\/42*49\/(-14) is divided by 325.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6 or -50638636?\nAnswer: -50638636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 1:25 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*d + 10 + 7. Calculate the least common multiple of 6 and d\/(11\/(-10) + (-8)\/(-8)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -168*u - 17619. Calculate t(-105).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6237*x**3 - 141*x**2 - x + 13.\nAnswer: 37422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -46404 + 2\nAnswer: -46402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*-11*64\/2640?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = -2*w + 2369, w + q = 1185. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -148.576 and 0.3?\nAnswer: -44.5728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 1. Let c(q) = -12*q**2 - 4*q + 3. Let o(w) = -c(w) - 6*t(w). Suppose 0 = -5*x - 1 - 9. Is o(x) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 487079*q**2 - 692806*q.\nAnswer: 974158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/(-120))\/(1\/(-10)). Let v be (1 + 52\/(-39))\/(r\/(-12)). Solve 0 = -3*u + i + 6 - 3, 3*i = -v*u - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(2\/29))**(-1\/22) assuming u is positive.\nAnswer: u**(-30\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2602 - -6547?\nAnswer: 3945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4466 divided by 4\nAnswer: 2233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -62*u + 642. What is t(9)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 3 - (56 + -39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 476 - 739. Let u = -946 - b. Let x = u + 683.1517. Round x to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1518783815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90, -254, -418, -582?\n\"Answer: -164*o + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**2 + 4760396*x + 4760400 = 0.\nAnswer: -1, 1190100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0597 + -0.0403. What is the closest to o in -0.24, 3\/2, -3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -201 + 96 - 217 - 268*x**4 wrt x?\nAnswer: -1072*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4195 and 5034?\nAnswer: 25170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.5 - 15. What is the second smallest value in o, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19616 - (-5 - -10 - 10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.474903 decades to millennia.\nAnswer: 0.01474903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -20109*w**2 - 5*w + 7. Let o be q(8). Let f = o + 2487009. Round f to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 2*r**3\/3 - 9. Let u(b) = 2*b**2. Give u(y(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Differentiate -3*a - 1 + 2 + t + 0*a wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8138.\nAnswer: 2, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 2:36 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from jnjljqnjqjjjljjqqqq?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 51*t. Let v(n) be the third derivative of 0*n**3 + 2\/15*n**5 + 0 - 53*n**2 + 0*n**4 + 0*n. Give k(v(b)).\nAnswer: 408*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 735 and 90?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 10 - 15 - 17 + 8*r**3 + 30.\nAnswer: 6*r**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.024 greater than or equal to -3.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/(-1625))\/((-1)\/1)*10\/24.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3228 and 479627?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18363, -36795, -55349, -74085, -93063?\nAnswer: -112343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.11686 millilitres in litres?\nAnswer: 0.03211686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -36.56. Let w = m - -18.56. Which is bigger: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + k - 230, -5*k - 14 = j + 32. Let b = -17 - j. Suppose 3*i = 6*i + v - b, 4*v - 28 = -i. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/901 + 79077\/203626. What is the common denominator of t and -59\/4?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -48*g - 105. Let n(h) = 99*h + 205. Calculate 2*n(x) + 5*u(x).\nAnswer: -42*x - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -54*d - 36. Let o be k(-16). Suppose -o = -b + 1. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 653, 640, 625, 608, 589, 568, 545?\n\"Answer: -z**2 - 10*z + 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 23*p + 25. What is the units digit of b(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(3\/2 + -1). Suppose 0 = 5*y - 10 - k. Suppose -9980 = -401*d - 98*d. Solve -2*s = y*s - d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142302 and 2774889?\nAnswer: 5549778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -126\/5 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49 and 133?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from omrrrquofofforqfmrom?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012 (base 6) to base 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n + 16. Let m(d) = 377*d + 12. Let u(k) = -133*k - 4. Let h(r) = 6*m(r) + 17*u(r). What is -18*h(w) + 4*l(w)?\nAnswer: 2*w - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by (-3)\/(-2)*(-1 + (-93)\/(-9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seventeen halves of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**6))\/(q**(2\/9)\/q))**3*((q**(-1)*q)**(-6\/5))**46 assuming q is positive.\nAnswer: q**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/84*140\/70?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/4 and -97\/11064.\nAnswer: 11064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 24)*57\/30. Let k = s + -49. What is the third smallest value in k, 4, 2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 0.7952\nAnswer: -7.1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - 2*x**3 + 0*x**3 - x**3 + 2 - 2 + (3*x**2 + x**3 - 3*x**2)*(2 - 3 - 1) + 0*x**3 - x**3 + 4*x**3 as b*x**3 + k*x**2 + r + a*x and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 1, p: 2, c: 5, j: 1}. Give prob of sequence bf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -498824 + 188?\nAnswer: -498636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 57 + (-28)\/(-8)*(-24)\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199 + -76. Let x = i - 77. What is the third derivative of 7*l**6 - x*l + 46*l - 5*l**2 wrt l?\nAnswer: 840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000334 (base 6) to base 13.\nAnswer: 9a627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 4. Let x(a) = -2*a + 3*a + 21 + 2*a + 3*a. Let w = 16 - -5. Give w*b(v) + 4*x(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 * -5.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -279, -10\/7, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -2*k**3\/3 + k**2\/2 + k + 1. Let x = -12 + 12. Suppose 2*p + 3*p + 5 = x. Give c(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8558 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219 - 33*b**2 + 8*b**2 + 219 to the form i*b**2 + l*b + h and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3774018 or -3774019?\nAnswer: -3774018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1584725.41 to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -460*l - 20*l**2 + 460*l + (3*l + 0*l - l)*(2 + 2*l - 2) + (33*l - 4*l**2 - 33*l)*(5 + 0 - 3).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*b - 32700 = -998*b for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a81 + 2?\nAnswer: a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*p - 185 + 65. Let l be -9*2\/(-1 + -1). Suppose -l = r + 4*w - p*w, 0 = 2*r - 3*w + 18. Sort 1, -2, r.\nAnswer: r, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8960793.\nAnswer: 3, 131, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-14) + 64\/28. Let c be 37\/(-5)*j\/8. Let h = 8\/5 + c. Is 0.1 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08084 from 637.\nAnswer: 636.91916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*p**4 - 5*p + 639 wrt p.\nAnswer: 28*p**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*v + 85*v - 30*v = 0. Let w(y) be the third derivative of 0*y - 6*y**2 - 1\/8*y**4 + 0 + v*y**3 - 1\/40*y**6 + 1\/10*y**5. Factor w(k).\nAnswer: -3*k*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2074 = -13*r + 84. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315 - 513*q**3 + 33*q**2 + 37*q**2 + 31*q**2 - 103*q**2 wrt q?\nAnswer: -3078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 65\/(-3 + (-1)\/2 - -4). Suppose -3*a = -5*a + z. Calculate the highest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30854812*o**2 - 4*o - 990609 wrt o?\nAnswer: -61709624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-9 - -2) - (74 + -75)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*d + 12, -g - 3 = d - 2*d. Suppose -3*q - 6 = -g. What is the tens digit of 13 + (q - -2) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/23 + -15\/46. Let k = -13.3 - -13. Which is the closest to 0? (a) k (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 14207690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173 - -173.146. Let m = -0.14600131 + r. What is m rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1064\/(-2))\/4*(-1330)\/4655\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**5\/20 + g**4 + 6*g**3 - g**2 + 60*g. Factor a(t).\nAnswer: 3*(t + 2)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 965 * 2.\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 - 306.6. Let x = 1913 + -5668\/3. Let f = -24 + x. Sort f, z, 4\/7, 2\/21 in ascending order.\nAnswer: f, 2\/21, z, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/4))\/(w\/((w**(3\/4)*w)\/w)))\/((w*(w\/((w**(-1\/3)\/w)\/w))\/w)\/(w\/(w*((w\/((w**(3\/5)*w*w)\/w))\/w)\/w))) assuming w is positive.\nAnswer: w**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/12 - w**4\/4 - 2*w**3 + 15*w**2. Let c be b(-2). What is the greatest common divisor of 140 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - f - 183 = 0, 12 = -2*f + 6*f. Let x = 4732 + -4639. Is x greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(510\/(-918))\/((-2)\/6). Solve -p + 6 = 6, -i*p = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 1149*g + 448 - 6*g**2 - 609*g + g**2 + 4*g**3 + 85*g**2 + 16*g**2 = 0.\nAnswer: -16, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 653277?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*296.\nAnswer: 88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 903*o*s**5 + 2*o*s + 479*o - 321*s**5 + s**2 - 18 wrt s?\nAnswer: 54180*o*s**2 - 19260*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1807 + -5\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 252249, 252048, 251713, 251244, 250641, 249904, 249033?\n\"Answer: -67*s**2 + 252316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/744 and 79\/1674.\nAnswer: 6696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 0) + 145 + -155.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 85.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**3 - 156*m**2 + 244*m + 6792. Give b(-79).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 83 - -1?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**3 - 36*g**2 + 1057*g - 4188. Calculate n(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -158?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -1109, -2300, -3905, -5918, -8333, -11144, -14345?\nAnswer: -17930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 9:41 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p = -5*c + 13*p - 45, 5*p + 40 = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -80*y + 157. Let u be w(2). Let f = -14 - -26. Sort f, u, -2, -7 in ascending order.\nAnswer: -7, u, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -5*g - 15, -4*g - 730 = -0*g - 5*r - 689 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g*g*g**(1\/2)*g*g*(g**(5\/6)\/g)\/g*(g*g**(-13)*g)\/((g*g**(-6))\/g) assuming g is positive.\nAnswer: g**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -10. Suppose -3*x - 5*p = -18, 12 = r*x - 0*p + p. List the prime factors of (-30)\/25*(-225)\/x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbefffexefbfbeefxff. What is prob of sequence be?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-5)*u**(-4))**(12\/13))**(2\/87))**(-8\/7) assuming u is positive.\nAnswer: u**(576\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1357257 - 0.\nAnswer: -0.1357257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -1855?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2411083 = 32388917. Round i to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -402590 = 143*t - 1450351. List the prime factors of t.\nAnswer: 17, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**7\/14 + 17*d**6\/15 + d**3 - 2*d**2 - 15*d - 1. Find the second derivative of y(n) wrt n.\nAnswer: -60*n**3 + 408*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -0.3 (c) -87 (d) -1\/2 (e) 27 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 7*g**2 + 5*g - 2. Calculate the remainder when k(7) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4 + 116988*p**3 - 1140516012*p**2 + 3706296866996*p = 0. Calculate p.\nAnswer: 0, 9749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 47, 65, 83, 101?\n\"Answer: 18*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 0.4, 0.5, 0.2, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -19*f**2 - 2*f. Let c(y) be the second derivative of 0*y**2 - 13 - y - 1\/6*y**3. Determine s(c(n)).\nAnswer: -19*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 21*x - 132 - 114 + 263. What is the units digit of l(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*v**2 - 3954199*l**2 + 31*l*v - 108460*v**3 - 2 with respect to v.\nAnswer: 2*l**2*v + 31*l - 325380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 66005.3cm?\nAnswer: 660053000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from qnnnnnnnqnqnnq?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(405) + -3 + sqrt(405) + ((((sqrt(405) - (-2 + sqrt(405))) + sqrt(405) + sqrt(405))*-2 - sqrt(405)) + sqrt(405) - sqrt(405)))*4)**2.\nAnswer: 12096*sqrt(5) + 234064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4521 + -126571\/28. What is the common denominator of g and -125\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*h - 11620 = -5*h - 175*h for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -154559065?\nAnswer: 154559065.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*z + 16 = 0, 4*p + 3*z + z - 64 = 0. Suppose k + 13 - p = 0. Calculate the remainder when ((-12)\/(-10))\/((-6)\/(-160)) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(1\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s = -p + 7, -3*s + 4*p = 19. Let q be (78\/(-7 - s))\/((-1)\/22). Let b be (-3)\/((-36)\/q) - 1\/(-6). Is b less than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 693225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11100000012 - 10?\nAnswer: 11100000002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfc. Give prob of picking 2 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48168 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/9, -1\/6, -31?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-70)\/(-4))*(-35)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -60. Suppose -3*b - b = -4*r - 4, -u*b = 4*r - 5. Solve x + 4*q = -14, -3*q - b = x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71566, 572219, 1931110, 4577359, 8940086, 15448411, 24531454, 36618335?\n\"Answer: 71520*m**3 - m**2 + 16*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38705.5424 + 244046289.5424. Let y = 244007569.0000007 - p. Let v = 15 + y. What is v rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -u - 11, 2*t = -4*u - 12. Suppose 0 = t*b + 4*n - 48, 3 - 9 = -3*n. Solve 5 = 3*m - b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(-124) + 2\/4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100208934 by 15771.\nAnswer: -6354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/5 (c) -23 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45.1 + -9.9. Let a = r + 54.99971. Round a to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**3 - 9*b**4 - 121 + 186 + 47*b**3 - 97 - 4*b**2 - 72*b = 0. Calculate b.\nAnswer: -2\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 247476*p**4 - 1489*p.\nAnswer: 2969712*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10634 >= 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 326533710 a multiple of 1416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/1391, 2\/3, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/(-3)*-6. Suppose -6*y + g = -3*y. Put y, 3, -5 in increasing order.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + -2220110?\nAnswer: -2221000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2331\/(-24605) - (-4)\/(-38).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 6:33 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0)\/(148\/(-1036)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*(sqrt(448) + (sqrt(448) + -1 - sqrt(448))) - sqrt(448))**2 + (-1 + sqrt(448))*1 + -2)*-3.\nAnswer: -1464*sqrt(7) + 60549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d**4 - 2*d**2 - 624*d.\nAnswer: 108*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*p - 10, -a = a + 3*p + 11. Let k(j) = -j**3 - 8*j**2 - 2*j + 9. Let g(i) = -1. Let t(d) = a*g(d) - k(d). Does 4 divide t(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/3 (b) 10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.413 + 318.\nAnswer: 319.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*x = 3*u - 17, -3*u - x = -13. Suppose 0 = -2*w + u*w. Find the third derivative of -4*c**2 + w*c**2 + c**4 - 5*c**4 wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2. Let c(y) = y**2 + 6*y - 2. Let h be c(-6). Is a less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30406092 to the power of 1\/2, to the nearest integer?\nAnswer: 5514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76400\/(-2292) + 133\/7.\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -3. Let u = q - -44. Suppose 5*w = u - 7. What is the remainder when 14 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27317 (base 8) to base 4\nAnswer: -2323033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1116237 or -1?\nAnswer: 1116237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5\/4 (b) -2\/5 (c) 0.2 (d) -11\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*g - 12 = -5*g, 5*g = 3*n + 18. Is 2 a factor of (3 - 0) + (1 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 7. Let x be h(-7). Suppose k - 4 - 1 = x. Let t = k + 2. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + j**3 - j**3)*(5 + 0 - 3) - 4470*j**2 + 4470*j**2 + 494*j**3.\nAnswer: 496*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 - 85. What are the prime factors of -2 - -290*(g\/5 + -2)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1994\/13 + 30903\/208. Calculate the common denominator of u and 151\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 1641475.\nAnswer: 1641475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194041 rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 3*(3 - 8). What is the units digit of (a\/15)\/((-3)\/40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 3. Let a be g(5). Suppose 133*v - 172*v = -6162. Suppose a*b - 28 = v. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 135 = -3*r, 2*r - 64052*p = -64112*p + 1430 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -4, -3, 1, 12 in descending order.\nAnswer: 63, 12, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6\/7 (b) -2\/9 (c) 0.1 (d) 1\/2 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -96\/11 (b) 1.43 (c) -9 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138193.\nAnswer: 11, 17, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 3*q, -5*q + 746 = 726 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63334.\nAnswer: 2, 31667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/7 (b) 4 (c) -0.02 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n - 2*x + x = -50, 1021*n - 1020*n - 2*x = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3 + 6 - 76 = 7*n, -2*t + n + 15 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -36, 2\/7, -2\/17, -7\/11, -0.01?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8516\/231 - -1226\/33. What is the second biggest value in 0.1, -1\/349, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**9\/2160 + u**5\/24 - 7*u**4\/24 - 12*u**2. Let q(p) be the second derivative of k(p). Differentiate q(s) wrt s.\nAnswer: -28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2\/5 - 34354880*a - 368830556192000 = 0.\nAnswer: -21471800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujyujhyeujhyjhyuhjyh. Give prob of picking 1 u, 2 h, and 1 y.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36894 divided by -559\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5159*o**2 - 139294*o - 26. Determine x(-27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 5*m - 2. Let s(h) = -4*h**2 - 11*h - 5. Let a(n) = n**3 - 15*n**2 - 36*n + 38. Let r be a(17). Determine r*s(t) - 9*f(t).\nAnswer: 2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4552 + 10041221?\nAnswer: 10032225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.5989 + 0.2?\nAnswer: 14.7989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128999487.\nAnswer: 3, 42999829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 - -217. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4 + 22810*g**3 - 4880245*g**2 + 4857440*g = 0.\nAnswer: 0, 1, 224, 4337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from pqcbgguu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536016977.4 rounded to the nearest 10000?\nAnswer: 1536020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (-1*sqrt(143)*3 - sqrt(143)) + sqrt(143) + sqrt(143))\/sqrt(11) + -5)**2.\nAnswer: 10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -234.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*b**3 - 22*b**3 - 22*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -78916.9 to the nearest 1000.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-90)*(1 - -2). Let q = 0 - -3. Let o be (-20)\/(-12) - 2\/q. Sort -1\/4, h, o.\nAnswer: -1\/4, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 426201975 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -3*n. Let w = -17312 + 17311. Sort w, n, 1, -35 in decreasing order.\nAnswer: n, 1, w, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -4) + (9 - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -439*r + 11*r**5 + 114*r - 49*r**5 - 1 + 0 wrt r?\nAnswer: -760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 9 = 5*n + 3*h, -h + 3 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 63970*s**2 - 447904*s - 511872.\nAnswer: 2*(s - 8)*(s + 1)*(s + 31992)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1604 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*m = 900. Let n be (-232)\/6*m\/8. Let z = 161 + n. Round z to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 + 25*w. Let b(r) = -15*r**2 - 60*r. Let q(k) = -5*b(k) - 12*h(k). Let g(x) be the first derivative of -4*x**3\/3 + 2*x**2 - 9. What is q(g(u))?\nAnswer: 48*u**4 - 96*u**3 + 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 12) to base 13\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(15\/(-6))\/(-5). Suppose -h - h + 17 = -3*n, w = 3*h - 5*n - 27. Suppose -h*y + 4*r = -104, -5*r + 27 = 2*y - 2*r. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12*o. Let j(x) be the third derivative of x**4\/8 - 7*x**2 - 4*x. Give -9*j(p) - 2*m(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.98 - 90.02. Let q = i + 92.13. Let z = 4.5 - 4. Put z, -2, q in decreasing order.\nAnswer: z, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2\/9*q**2 + 548\/9*q - 37538\/9 = 0.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a + 22d?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-27 + 16) - 19\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -420412402.69 and -4?\nAnswer: 420412398.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 11, 2, -159, 2\/5, -0.5 in ascending order.\nAnswer: -159, -0.5, -0.1, 2\/5, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 7*r**2 + 4*r + 3. Let a be o(-3). Let k = 5.01 - 5. Is k at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h + 10. Let c(v) = -8*v + 9. Let z(f) = 4*c(f) - 3*n(f). Let o(w) = -5*w + 6. Let a(m) = -7*o(m) + 6*z(m). Differentiate a(g) with respect to g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8649 (base 13) in base 15?\nAnswer: -57d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -244384 - 129980. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t. Let p(x) = 43*x**2 + 7*x - 9. Let d(k) = 5*k**2 + k - 1. Let s(a) = 14*d(a) - 2*p(a). Give s(r(u)).\nAnswer: -64*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0859119*-1644\nAnswer: -141.2391636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from dmmzymdzmyyzm?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:25 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 + 2475 + (1 - 3)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6175 divided by 247.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3 + 20*q**2 - 4*q + 2*q - 22*q**2. Let m be z(-2). Let o(c) = 2*c - 8. Give o(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3571 * -278\nAnswer: -992738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 + 5*c + 2. Let a(l) = -4*l**2 + 3*l + 2. Let q(b) = -6*a(b) + 5*g(b). Let u be q(9). What is the second smallest value in u, -4\/9, 0.1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 + 673 = -17*t + 1615 for t.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/5 (b) 0.1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + -4*(sqrt(891) + (sqrt(891) - ((sqrt(891)*1 - sqrt(891)) + 1 - sqrt(891))) + 4)*3)**2.\nAnswer: 26568*sqrt(11) + 1156415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*o**2 - 24*o**2 - 8*o**3 - 13*o**3.\nAnswer: -21*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 60720619?\nAnswer: -60720619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9 + 29*x**2 - 2*x - 4*x - 28*x**2. Let r be n(4). Solve r = -u - 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 22 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45291834 and 3232.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/1)\/(-20))\/1*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04867719 minus -0.476?\nAnswer: 0.42732281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w**3 + 0*w + 2*w**3 + w)*(1567*w + 1034*w - 592*w) to n*w**4 + b*w**2 + o + f*w + h*w**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let w(r) = -9. Let u(g) = -2*i(g) + w(g). Let s be u(-5). Suppose -3*n + 4*z + s = -180, -n = -z - 61. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8719*d**3 - 28 + 8708*d**3 + 28 - 16611*d**3.\nAnswer: 816*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**4 + 1065*k**3 + 42805*k**2 - 1043865*k + 5118390 = 0.\nAnswer: -142, -89, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244944 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*f - 2326 - 1315 - 2519 = 0. Solve 1169*i = 1159*i + f for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t + 216. Let n be ((-56)\/(-14))\/((28\/(-24))\/(-7)). Let j be v(n). Let 2\/3*f**3 - 1\/2*f - 1\/3*f**2 - 1\/6*f**5 + j*f**4 + 1\/3 = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a + 2*a + 8*a - 24*a + 9*a + 1. Let u(h) = 2*h + 1. Calculate -u(z) + 3*y(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-1 - 3) + 4 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x + 8*x - 36*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - -62. Suppose 2*c - z + 17 = 0. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 529 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 18 = 17*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5*a - 213. Let m be z(-12). Put 1, -4, m, 5, -5 in increasing order.\nAnswer: m, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4, -q + 10 = 4*q + 5*o. Suppose 0 = 8*w - q*w - 44. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(1\/46)*w\/(w\/(w*w**16))*w**4*w assuming w is positive.\nAnswer: w**(507\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**3 + z**3 - z**3)*(-z + 1 - 1) - 77958*z**4 - 72888*z**4 + 213639*z**4 as j*z**2 + m*z + c + h*z**4 + d*z**3 and give h.\nAnswer: 62794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5183\/25 or 1?\nAnswer: -5183\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2*z**2)*(-z + 4*z + z) + 1 - 3 + 3 + 5*z**3.\nAnswer: 13*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84907\/14 - -6068. Suppose 8 = 2*c - 0. Calculate the common denominator of c\/(-8) - 35\/4 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7627)\/(-29) + 2*(-3 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -2, 5, -0.24 in descending order.\nAnswer: 5, 3, -0.24, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -47, -100, -171?\n\"Answer: -9*p**2 - 8*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12725 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -38865?\nAnswer: -4\/38865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2432618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.17?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010201 + 1?\nAnswer: -11010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 41*o**3 + o**2\/2 - 6. Let l be m(1). What is the greatest common divisor of l and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -445947, -446001, -446093, -446223, -446391, -446597?\n\"Answer: -19*v**2 + 3*v - 445931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4, k: 2, a: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 90*y - 100. Let q be u(-44). What is the remainder when 157 is divided by 395\/10 - q\/24?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 48 - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = -3*p + 11, -5*d = p - 28. Solve -2*u + 17 = -3*u + 3*x, p = 2*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17870*c**2 + 946*c**2 + 9137*c**2 + 11261*c**2.\nAnswer: 39214*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 229981047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjkkkjjjkk. Give prob of sequence jjj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 401126.1.\nAnswer: 401124.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.12 and 0.184.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129099559?\nAnswer: 129099559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.8 - -4.3. Let p be ((-1)\/(-5))\/((20\/175)\/4). Which is the second biggest value? (a) -2\/7 (b) s (c) -0.4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55679?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 718660354.\nAnswer: 2, 4111, 87407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 - 178 = -16*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s = -6. Find i, given that -i**2 + 3*i**2 - i - 3*i**s + 2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 49*f**2 + 409*f + 43. Calculate m(-38).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 423 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8501 - 8493. Solve -x*w = 1630 - 1590 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (4 + -13 + 5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/24 - 5*v**3\/3 + 72*v**2 + 144*v. Let j(w) be the first derivative of a(w). Determine j(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323110 (base 4) to base 14.\nAnswer: -2c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 25411.634 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -3, 0.13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 14*v**2 - 14*v - 9. Let k be z(8). Suppose 0 = p - 2*f - 44, 154 = 4*p - 4*f + k*f. Calculate the highest common factor of 300 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205*l + 25736 = -36876 - 9688 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57988 and 4788?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 55*-1220\nAnswer: -67100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 + 2*q. Let k(y) = 4*y**2 - 3*y - 5. Let f(j) = 6*j**2 - 4*j - 7. Let o(h) = -5*f(h) + 7*k(h). Give -4*n(i) - 7*o(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*r + 3*r + 4, 5*r = -4*q - 19. Suppose 0*a - 4 = 4*a + x, 0 = -5*a - 5*x + 10. Sort a, -5, r in ascending order.\nAnswer: -5, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 15*y - 15. Let i = 914 - 925. Calculate f(i).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 79*q**2\/4 - 2535*q\/2 - 44775\/4.\nAnswer: (q + 15)**2*(4*q - 199)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3681505, 7363021, 11044537, 14726053, 18407569?\n\"Answer: 3681516*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 8*b**5\/15 - 11*b**4\/6 - 38*b**3\/9 + 44*b**2\/3 + 8*b + 223. Determine s, given that y(s) = 0.\nAnswer: -2, -1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -109. Solve 6*b - 2 = 3*c + p*b, -5*b + 8 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Suppose -4 = -o*v - 22. Let x = v + 14. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 17424420\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 11*g - 6. Let n be r(-6). Suppose -3*s - 8 = 4*y, n = 4*y - 6*s + s. Let x be 1 + (4 - y)*13. What is the highest common factor of 100 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11660550 divided by 2442?\nAnswer: -4775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/3*(-36)\/(-20). Let t(q) = q - 2. Let w be t(6). Solve 0 = 5*d + 2*o - 7 - n, 0 = w*d - 3*o - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 0*m + (-3*m - 3 + 3)*(2 - 1 + 0) - 6*m + 2*m + 5*m)*(4 - 29 + 2)*(3 + 3 - 2).\nAnswer: 276*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384503 and 2009?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, t: 2}. What is prob of picking 2 t?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*i**2 - 76 - 2 + 2 - 533*i**2.\nAnswer: -409*i**2 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1607*l - 72417. Calculate g(44).\nAnswer: -1709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 12*k**2 + 5*k + 15. Let g be j(-12). Let l = 47 + g. Suppose l*p = 6*p - 72. Solve -2*n - 1 = 5*s + p, -2*s - 4 = 2*n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 4*n - 5*n + 3*n in the form v*n + z and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -16220306 bigger than -16220307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5884033 and 4592.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778064226?\nAnswer: 2, 3, 31, 47, 89003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60265*w**4 + 21*w**3 + 2762*w - 305 wrt w?\nAnswer: -723180*w**2 + 126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2. Let u(h) = 2*h**2 - 2*h**2 + 0*h**2 + 15*h**2. Give u(r(w)).\nAnswer: 60*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314 + 245 - 4*b**2 + 51 + 18.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + v**3 + v**3)*(-25*v**2 - 4*v**2 + 4*v**2 + (-2 - v + 2)*(2*v - 2 + 2) - v**2 + 3*v**2 - 4*v**2).\nAnswer: -29*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -264313582 smaller than -264313581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 b when three letters picked without replacement from tbjbvvtbtb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2. Suppose 30 = 4*q + 18. Let p(n) be the second derivative of 0*n**3 - q*n + 0 + 0*n**2 + 5\/12*n**4. Give g(p(v)).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2518 is divided by 84?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 24. Suppose -3*c + 8*o - 12 = 3*o, 18 = 3*c + 5*o. Suppose -r - c = -a. Solve 0 = 2*h - i + 2, -2 = -a*i + 14 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 9*x**2 + 15*x + 5. Let b be l(7). Let f = -126 + b. Is 10 a factor of 6\/(-9)*(3 + f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3880.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*l*(l*(l**0\/l)\/l*l)\/l)**(-16) assuming l is positive.\nAnswer: l**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2 - (1960\/(-112) - -38).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 4. Let o = -303 - -306. Sort o, l, -0.4 in ascending order.\nAnswer: -0.4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 49*i + 11 - 13 + 97*i - 47*i.\nAnswer: i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*j - 5*t, t - 1 = -4. Let i be (18\/j)\/((-2)\/((-48)\/(-873))). Suppose 0 = -9*k + 4*k. Which is smaller: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wawafwafwawwwf. What is prob of sequence aaw?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.78082 years to millennia.\nAnswer: 0.06878082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 1, -2, -22 in ascending order.\nAnswer: -22, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -12 - 7 - (0 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2148 - 1216. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 409, 0.043?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = t - 2*k - 2, 4*t - 2*k - 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*o**3 + o**2 + 295*o - 3 wrt o.\nAnswer: -942*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 4*h**2 + 3*h + 2. Let t be g(-4). Let k be 84\/t + 4\/10. Let c = 13 + k. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -b + 6, -3415 = -2*b - i - 3421 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w - 6*w + 0*w. Let o(v) = 10*v. Calculate q(o(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(275)*-2 + -4 + (sqrt(275) - (sqrt(275) - (sqrt(275) + -2*sqrt(275) + sqrt(275))))*4 + (sqrt(275)*2 + -4 - sqrt(275)) + -4)**2 + -4.\nAnswer: 496 + 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) -4\/145 (c) -4\/7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y = 35*y - 73*y + 9, -5*i + 9*y + 52 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 484, 736, 988, 1240, 1492?\nAnswer: 1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.2 rounded to the nearest ten?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(75)\/(1*sqrt(3)) + sqrt(25))\/(sqrt(240)\/sqrt(3)))**2.\nAnswer: 4*sqrt(5) + 69\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76169 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*u + u. Suppose -r = -2*y - 33, -3*y + 70 = 4*r - u. Calculate the remainder when 154 is divided by r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d72 (base 14) to base 13\nAnswer: -1289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 27*g**2 + g - 28. Let y be x(27). Let f(b) = -8*b**2 + b + 1. What is f(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h = 6*h + 155 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.623049111 and -0.5.\nAnswer: 1.123049111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, o: 3}. What is prob of picking 3 n and 1 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + i**5 - i**5 + (3 - 3 - 2)*(2*i**5 - 3*i**5 - i**5) + 5*i**5 - i**2 + i**2 + (0*i**2 - i**2 - 2*i**2)*(4*i**3 + 0*i**3 - 6*i**3).\nAnswer: 16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-3 + 3 + 0). What is the tens digit of v + 23 - (2 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3)*1 - sqrt(3))*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:24 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 21 + 9 = 3*m, -2*m = 5*a + 1. Solve -m*w - 2 = 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341718 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1458532 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684498033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 93cc9 (base 13) to base 8\nAnswer: 1007151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7412 - 19825730459?\nAnswer: -19825737871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -7*n + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4833 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-2)\/v)\/v)**(-14\/3))**(-2\/13))**27 assuming v is positive.\nAnswer: v**(-1008\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 5. What is the second biggest value in 5, a, -4, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g + 3. Let n(u) be the second derivative of -5*u**3\/6 + 579*u. Calculate t(n(v)).\nAnswer: -45*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-36 - (5 - 2)). Let s = f - -316\/9. Which is the closest to 0.2? (a) 1\/5 (b) -2\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -290*q + 872. Give w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -226, -4234, -4, 5 in ascending order.\nAnswer: -4234, -226, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -65*g - 1. Let c(o) = -19111*o. Give w(c(t)).\nAnswer: 1242215*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11456*j - 11456*j - 403*j**3)*(-2*j - j + j).\nAnswer: 806*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98093819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 605309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -216*c + 86*c + 121*c - 16*c**2 + 2 + 88*c in the form n*c**2 + a*c + p and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 7252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*m + 8*m - 24 - 49*m)*(m + 0 + 0)*(-1 - 3 - 1).\nAnswer: 55*m**2 + 120*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 320424495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 448471 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2*(5\/(-5) - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 1 + 1)*(-2*f + 9 - 25 + 20)*(-4 + 2 - 1).\nAnswer: 12*f**5 - 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561 - 2177*l**2 + 561 + 2177*l**2 + 21391*l**3.\nAnswer: 21391*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29622, -29644, -29680, -29736, -29818, -29932, -30084?\nAnswer: -30280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/16*8*(-1)\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -57, -67, -77?\n\"Answer: -10*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 9:46 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46546103 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (245616\/4488 - 44)*((-11)\/2)\/(-1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -8. Let n = 13.8 + -16. Let z = 0.2 + n. Which is the second biggest value? (a) z (b) w (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -49. Find the first derivative of 31*u**v - 148 + 221 + 19*u**3 wrt u.\nAnswer: 150*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2835*s**2 + 4*s - 1. Let w be h(-1). Find the second derivative of -17*i + w*i**2 + i**4 - 62*i + i**4 - 2813*i**2 wrt i.\nAnswer: 24*i**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8004 rounded to the nearest 100?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*j + 5*w, -3*j + 100 = -3*w - 8. Solve 0 = j*c - 7*c - 184 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9*3)\/(15\/13770*34)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + s - 3. Let d be y(0). Let f be (-3)\/(-3) + (4 - -1). Let r be -2 - d - f\/10. Is r greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -13, -23, 3 in descending order.\nAnswer: 4, 3, -4, -13, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 b when three letters picked without replacement from abaqalaaalb?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-66)\/(-121))\/(9\/(-16190)). Let a be (-34)\/51 + 5890\/6. Let j = g + a. Find the common denominator of 16\/15 and j.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 17 (b) 0.1 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327 by 307.\nAnswer: -327\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/5)\/f**(-23) assuming f is positive.\nAnswer: f**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9668 divided by -4.\nAnswer: -2417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 10*m - 2*c - 353, -2*m - c = -240. What is the highest common factor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -1322.\nAnswer: -79.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80376, -80386, -80394, -80400, -80404?\nAnswer: -80406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 720497.98599436 - 720498. Let p = -0.014 - m. What is p rounded to seven decimal places?\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -11*z + 16. Let b be i(2). Let m be (18\/6)\/(b\/(-4)). Suppose 0 = -3*x - m*x + 670. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 14\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 9, d: 4}. Give prob of picking 2 d.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*-2 - (2*sqrt(19) + 5))**2 + (sqrt(114)\/sqrt(6) + 0)**2 + 0.\nAnswer: 40*sqrt(19) + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 19*c**2 - 16*c + 24. Let v be j(18). Calculate the greatest common divisor of 204 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*b - 27 = 0, 2 + 8 = -2*b. Suppose -f*m = -6*m + 558. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2338.4776 + 2340. Round x to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -10, 14795 in decreasing order.\nAnswer: 14795, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 9)*(-4*g + 4*g - g)*(g + g + 4*g)*(0 + g + 0).\nAnswer: 66*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r**2\/2 + 1753071*r\/2 + 525924 = 0. What is r?\nAnswer: -3\/5, 116872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 2*h**4)*(-h + h - 2 - 2*h + (36*h + 13*h - 17*h)*(-4 + 2 + 3)).\nAnswer: 60*h**5 - 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (((-18 - -36) + -28 - -100) + -9).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**3 - 12*k**2 - k - 7. Let t(a) = -4*a**3 + 10*a**2 + 8. Determine -6*t(z) - 5*w(z).\nAnswer: -z**3 + 5*z - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -818 (b) -2\/7 (c) 7 (d) 0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5524 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 3*m - 2. Let p be i(4). Calculate the common denominator of 59\/10 and ((-3811)\/222)\/((0 + 1)*p).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1166, 1213, 1312, 1475, 1714, 2041, 2468?\n\"Answer: 2*g**3 + 14*g**2 - 9*g + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13138 + 13138. Let t(i) be the second derivative of 40*i + m*i**2 - 1\/72*i**4 + 0 + 0*i**3. Factor t(y).\nAnswer: -y**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16052903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120884\/55 - 2198. Let c = -91\/330 - z. Put c, -2\/3, 42, -1\/7 in decreasing order.\nAnswer: 42, -1\/7, c, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 5 - ((87 + -2 - 18) + 17).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*i + 29*i - 1. Suppose -1 = -6*l - i. Is l != 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13085079 divided by 13085079.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**4 + 39*r**3 + 7*r**2 + 4*r + 49. Let h(l) = -l**4 + l**3 - l**2 - l + 2. Let i(v) = g(v) + 4*h(v). Find the third derivative of i(u) wrt u.\nAnswer: 48*u + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:54 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55439388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/4)*k\/(k\/(k\/(k*k**(-5)))))**39 assuming k is positive.\nAnswer: k**(975\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-808)\/6*((-12)\/8)\/(-1). Let o be (a\/2)\/((-10)\/(-20000)). What is o rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from oorrorkrokrrorror?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0362681 and 0.3.\nAnswer: -0.01088043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16961 - 105?\nAnswer: -16a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 4 - 6) + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 39*f**2 - 13530*f. Let u(g) = -8*g**2. Give o(u(a)).\nAnswer: 2496*a**4 + 108240*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0*z**3 + 0*z**2 + 1\/70*z**5 - 2\/105*z**6 + 0 + 2*z + 1\/42*z**4. Factor m(t).\nAnswer: -2*t**2*(t - 1)*(2*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -768236386, -768236387, -768236388, -768236389, -768236390?\n\"Answer: -v - 768236385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1396*k + 5*k**2 + 2*k**2 - 696*k + k**3 + 4 - 697*k. Let r = -131 - -124. Calculate v(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*y + 24 + 28, -2*q + 68 = 5*y. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.08, 0.16, -3, -1745?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y - 10. Let m be f(-7). Suppose -5*h - 29 = -u, 0*h = m*u - 4*h - 68. What is the highest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7921261 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004305 rounded to 4 dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*u + 22 = 2*u, -5*u = -25. Suppose -q*v = -14 - 40. Suppose -v + 0 = -2*j. Solve -4*y - j = -2*a + 3, -a = -3*y - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-75)\/12 + 1698\/8 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11184611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(sqrt(4)\/sqrt(2)*-1*-4)**2 + 0)*1.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 24*l. Let q be 12\/(-7 - -3) - -9. Let x(i) = i**2 + i. Let j(z) = q*x(z) - y(z). Find p, given that j(p) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 5 (c) -0.024\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 - 8*b**2 + 32*b - 12. Give w(-6).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1332*q**2 - 201*q - 3. What is the smallest common multiple of 329 and w(1)?\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75383669*b**2*v**3 + 566125*b**2*v + 4*b**2 + 2*v**3 + 5 wrt v.\nAnswer: 452302014*b**2*v + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -109.6 and -177?\nAnswer: 19399.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = -i + 30, -3*z + 8 - 4 = -i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzvzzflxvvkfzvvkv. Give prob of sequence fz.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -518*h**2 + 254*h**2 + 14*h**4 + 263*h**2 + 8*h - 6 + 50*h**4 as i*h**4 + k*h**3 + l*h**2 + u*h + o and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/2)\/((-40)\/12). Which is smaller: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1720*a**2 - 2 + 2 - 1722*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybbyykyyyybbyybrryy. What is prob of picking 2 r?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 22 + (31 - 30 - (5 + 1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 7 in decreasing order.\nAnswer: 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 12*r**2 - 13*r - 11. Let f be h(13). Let s = f + 12. What is the second biggest value in 4, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 divided by -1\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*2)**2 - (4*sqrt(108) - sqrt(108)).\nAnswer: -18*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**5\/20 + 5*n**4\/12 + n**3 + 3*n**2 - n. Give o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*a**3*t - a**3 + 4*a**2*t + 139*a**2 + 38*a*t - a + 29*t wrt a?\nAnswer: 90*a*t - 6*a + 8*t + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11880a4 + -2?\nAnswer: -11880a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -63. Let j(n) = n - 63. Calculate 7*j(b) - 6*y(b).\nAnswer: 7*b - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67 - 34?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 3*k + k)*(2*k**3 + 0 + 0) - 4*k**4 - 27 + 3*k**4 + 25.\nAnswer: k**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 3. Calculate v(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5486030 to the nearest one hundred thousand.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 (base 13) in base 2?\nAnswer: -1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.79 and -31.\nAnswer: -86.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 3043.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 128. Let d(f) = -r*f**2 + 32*f**2 + 31*f**2. Let k(p) be the second derivative of -2*p**4\/3 - p. What is d(k(o))?\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/396*(4\/(-2))\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -90, -135?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146 - 146 + 12*p**3)*(4 - 3 - 2) + 0*p**2 + p**3 + 0*p**2 + 79 - 7245*p**3 + 120 - 199.\nAnswer: -7256*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 852 and 6444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 162 in 0.5, -2\/11, 19, 2\/9, -0.05?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 52*x**2 - 10*x + 16. Let q be ((-20)\/(-35))\/(2\/7). List the prime factors of b(q).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*h*j**2*p - 2*b*h*j*p + 3*b*h*p + 3*b*p - 24*h*j**2*p - 5*h*p + j**2*p + j wrt j.\nAnswer: -4*b*h*p - 48*h*p + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722698 is divided by 3145.\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 - 4*a - 47*a - 10 + 48*a to g*a + b*a**3 + w + x*a**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 12*f**2 - 67*f - 49. Let m(o) = 2*o**2 - o. Let c(i) = -g(i) + 5*m(i). Let k be c(27). Calculate the highest common divisor of k and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 + 110. Let n be (-12)\/42 - 13\/(-21). Let q be 140\/42 - 1\/3. What is the closest to -3\/8 in n, y, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 28*z + 17. Let b be w(12). Let c = b - -255. What is the greatest common factor of 32 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 484165.08ns?\nAnswer: 0.0000000008005375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46761 + -198749. Let a = 3410 - y. Let g = a - 259398. What is g rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 859*q - 4330. Calculate b(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1737, 3478, 5209, 6924, 8617, 10282, 11913?\n\"Answer: -k**3 + k**2 + 1745*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -294 - -294.02518. Round w to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120173 - 2*a + 51*a**2 + 120173.\nAnswer: 51*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 23?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -791250, -1582505, -2373760, -3165015?\n\"Answer: -791255*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 4719738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + (137 - 32) - -87.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = 0, 10 = 4*j - 4*b - 2. What are the prime factors of 0 + j\/((-4)\/(-676))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**5\/60 - b**4\/12 + 4*b**3\/3 + 5*b**2. Let k be l(5). Let a(t) = -t**2 + k*t + 0*t**2 - 25*t - 1. Give a(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -17*o**3 + 3. Suppose -3*z + 24 = 3*f, 45*f + 5*z = 50*f - 40. Let v(u) = 52*u**3 - 8. Give f*a(n) + 3*v(n).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242 and 5?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-55)\/(-198)*12*(-16861 - -1). What is d rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145 and 5.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2355 less than -2351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16288 divided by 32\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 - -251. Let u be -4 + a + 6\/2. Suppose 2*n - u = 90. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2159 and 1693037.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-15 - -43) + -56 + 59?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*u**3 + 10*c**2*u + 2*c**2 + 2239*c*u**3 - 2089*c*u wrt u.\nAnswer: -12*c**2*u + 13434*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*sqrt(150)\/sqrt(6) + (sqrt(225)*3)\/sqrt(9))\/(1*sqrt(605)*-2*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -473*-47.\nAnswer: 22231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**2 + 36*t + 2. Let f be h(-6). Let j(v) = -2 + 2 - 4*v**2 - 5*v**f. Let x(w) be the third derivative of -w**4\/6 + w**2. Give j(x(z)).\nAnswer: -144*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**5\/20 - 17*d**4\/12 - 23*d**3 + d - 6. Find the second derivative of v(n) wrt n.\nAnswer: -6*n - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + n**3 + 2*n - 2*n - 2*n**3 - n**3 + 0*n**3 - n**3 - n**3 + 0*n**3 - n**3 + n**3 - 2*n**3 + 2*n**3 + (2*n - 2*n - 2*n)*(-1 - n**2 + 1).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z. Let n = -14 - -16. Suppose -3*v = 5*u + 3, 0 = 2*u - 0*v - n*v + 14. Give d(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110 + 9386*l - 2*l**4 + 79*l**4 - 9384*l wrt l.\nAnswer: 308*l**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 132\/88 + 4670\/4. What is the common denominator of 9\/46 and u\/(-95) - 78\/(-741)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2231.9 - -2486.87. Round b to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3566341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -23, -8, -5 in increasing order.\nAnswer: -23, -8, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 760\/836 - 2590\/(-55). Calculate the greatest common factor of t and 9384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-2)*(-5)\/15. Let a be 3 + (-1 - c) + 2. Suppose 0 = -7*x + a*x - 7200000. Round x to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-5))\/o)\/o**(5\/3)*((o*o**(-1))\/o)**(-27)*(o*o**(-1)*o)\/(o**4*o)*(o*o**6\/o)\/o*o*o**(-5)*o*o assuming o is positive.\nAnswer: o**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.071 and -5.\nAnswer: 0.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:53 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1767*h. Let c(b) = 252*b - 78*b - 118*b - 87*b. Give 341*c(a) - 6*w(a).\nAnswer: 31*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 417?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/162*(0 - (-2)\/4)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -4*i - 10, -4*i + 3*j - 4*j = 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 413521 (base 9) to base 3\nAnswer: 110110120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 1\/4*n**4 - 1\/4*n + 1\/4*n**3 - 1\/4*n**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (-7 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 441 or 475?\nAnswer: 441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/(15\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 52 + 5 = 0. Suppose 2*h - c - 59 = 0. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**5\/20 - 2*l**2 - 5*l. Let r(m) = m + 7. Let p be r(-7). Determine g(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 10*a**2 - 15*a + 52. Let q be l(11). Solve 0*f + q = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**6\/120 - s**5\/40 + s**3\/12 - 7*s**2. Determine m so that f(m) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -4*b. Suppose 5*h - 4 = 4*h. Suppose -5*u = h*r - 73, -3*r + u + 8 = -23. Solve 5*d - d + r = b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-21))\/((-60)\/(-70)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37809*p**2 - 43713*p.\nAnswer: -75618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 18*w**3 - 8*w**3 - 3*w - 2*w**2 - 6 - 11*w**3. Let r be i(-5). Calculate the highest common divisor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 3*o**2 - 3*o**2)*(2*o - 1 + 1 + (3 - 2 - 3)*(o + 4*o - 3*o) + 2 + o - 2).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**8\/28 - 23*c**4\/12 + 5*c + 2. Let v(b) be the first derivative of h(b). Find the third derivative of v(r) wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39400 and 2728.\nAnswer: -107483200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 621, 5043, 17065, 40491, 79125?\nAnswer: 136771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from aaaafaaafaa?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*n**2 - n**2 + 2*n**2)*(n - 5 + 5) - 3*n**3 + 4*n**3 + 4*n**3)*((4 + 0 - 3)*(-2*n - 3 + 3) - 4*n + 4*n - 3*n).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*6\/27*15. Suppose 0 = v + 5, -5*c + s*c - 4*v = 15. Let k = 7 - c. 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 o be 0\/(3 + 0 + -4). Suppose 17*b - 15*b - 72 = o. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/20 and -99\/2080.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 4 = 0. Let h = 2 - 1.8. Sort v, h, 3\/7.\nAnswer: h, 3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133952185*-0.1.\nAnswer: 13395218.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let x(a) = a - 12532046. Give x(v(l)).\nAnswer: l - 12532046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682901332?\nAnswer: 2, 7, 17, 207971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 4:01 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120 and 0.03.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22442 - -583389\/26. Calculate the common denominator of 41\/12 and z.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(75) - ((2*sqrt(75) - sqrt(75)) + sqrt(75)))*-2 + (-5 + sqrt(75)*2)*5)*6*6)**2.\nAnswer: -5832000*sqrt(3) + 32302800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-61064)\/(-898)*((-1)\/4)\/1\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -175698*m - 1204. Let i(t) = -1757*t - 12. Give 301*i(c) - 3*z(c).\nAnswer: -1763*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000187273 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1090916 is divided by 34086?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != -19\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28683163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*j = -555*j + 4108 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j = 33*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5836 at most -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*5 - sqrt(130))\/sqrt(10) + (-3*sqrt(1872))**2 - (sqrt(325) - sqrt(325)*5 - (2 + sqrt(208))**2).\nAnswer: 40*sqrt(13) + 17060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18) - -188*5\/(-3420))*(-948)\/(-474).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 8719984 = -0*c. Suppose x - c = p, 0 = p - 4*p + 6. Round x to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11011*a**2*y - 4*a**2 - 1171*a + 2*y - 198807670 wrt a.\nAnswer: 22022*a*y - 8*a - 1171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(0 - (-1)\/3). Let m(n) = -n + 4. Let c be m(j). Suppose -3*l - s + 4 = 0, -3*s = 2*l - c - 4. Is l at most 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37205 + -332. What are the prime factors of r?\nAnswer: 3, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*646\/(-680)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*u - 20 = -45*u + 4*w, 0 = 5*u - 3*w + 25. Which is the closest to u? (a) 3\/5 (b) -5 (c) 5 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2444*g = -5146*g + 321538 for g.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r. Suppose r = -4*j + 3*w - 19, 3 = 2*j - w + 12. Let d(v) = 2*v**3 - 4*v**2 - 5. Let b(k) = 6*k**3 - 11*k**2 - 14. What is j*b(o) + 11*d(o)?\nAnswer: -2*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - 430*n - 53. Let v(x) = -x. Give l(v(o)).\nAnswer: 2*o**2 + 430*o - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3894.\nAnswer: 2, 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 11*k**5\/60 - k**4\/12 - 49*k**3 + 3*k**2 + 93*k. Differentiate t(n) with respect to n.\nAnswer: 22*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122844.\nAnswer: 2, 3, 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 divided by -6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:48 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12135*t**2 + 25340*t**2 - 13156*t**2.\nAnswer: 49*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 141134402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -1\/3, -27, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 47397 (c) 0.1 (d) 3\/22 (e) 0.3 (f) -5 (g) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -23*w - 3*w - 8*w + 1. Let b(a) = a + 5. Let f be b(-6). What is the remainder when n(f) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20325597 times 19?\nAnswer: -386186343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 3. Let y be t(3). Let b be (-2)\/y*282\/(-4). Let q = -7 - b. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408742 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 7*p + p. Suppose 3*m = -2*k + 30600002, p = 5*m - 0*m + k - 51000001. Round m to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -227 - -3356. Let s = w - 3129.001363. What is s rounded to 5 dps?\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 + 144. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7126, 13302, 19478, 25654, 31830, 38006?\nAnswer: 44182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*w - 1586, -v - 7*w + 314 = -9*w. Does 49 divide (2 - v\/12)\/(2\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -3*l + k, -4*k + 24 = 2*l. Suppose r - l = -r. Let d = -62 + 64. What is the highest common divisor of r and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 290112 by -10.\nAnswer: -145056\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) 0.2 (b) -0.5 (c) -130 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(2) + 1).\nAnswer: -8*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:39 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 3*f**2 - 4*f. Let k be o(-4). Suppose 4*m + 3*s - 29 = k, 4*m - 2*s = 5 + 9. Solve m*a = 7*p - 3*p - 13, -9 = 3*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15453252 (base 6) to base 13.\nAnswer: 164081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, 0, -3, 6\/7 in decreasing order.\nAnswer: 6\/7, 0, -0.08, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118725 divided by 23745.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a**(1\/11)*a)\/a)\/a)\/a*a*a**(-12))**(-1\/23) assuming a is positive.\nAnswer: a**(131\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 224\/42 - 1\/3. Suppose f*r = 89 + 36. What is the highest common factor of 275 and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b - 3. What is the tens digit of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -1)*(-12)\/144. Suppose -6*q - 2 = -7*q + 3*m, 0 = m + 1. Which is greater: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.012.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*u + 10 = 0, 215*u - 214*u = 0. Solve 3*x + d*x + 1 = 2*v, 0 = -5*v - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3\/5, 1\/2, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82999871.\nAnswer: 82999871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -32\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 830272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q + 2264575 = 6366179. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/4? (a) -10 (b) 179 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 35*v - 6. Let p(y) = 1472*y - 253. Let k(x) = 6*p(x) - 253*z(x). Let n(m) = -2*m. Calculate k(n(g)).\nAnswer: 46*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 3*l**2 - 6*l + 6. Let s be o(4). List the prime factors of 76\/18 - s\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14697, -58677, -131959, -234543, -366429?\n\"Answer: -14651*z**2 - 27*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 98b?\nAnswer: 98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -5. Suppose 0 = -2*l + 7*l - x. Let u be (5\/l)\/((-1)\/2). What is the nearest to 1\/3 in u, -0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 13, 43, 93, 169, 277, 423?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*y + 4. Let r(l) = -l**2. Let j(t) = -45*t**2. Let s(f) = j(f) - 54*r(f). Calculate the remainder when 33 is divided by s(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -31*d - 55. Let g be w(-15). What is the greatest common factor of g and 902?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*r = 180*r + 18. Suppose 3*x = 4*x - 2. Suppose 2*m + 0*m - 3*d + 21 = 0, -2*m - 26 = x*d. Sort -0.3, m, r in decreasing order.\nAnswer: -0.3, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a tonne in kilograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**3 - 5*j**2 - 162. Let f(p) = p**2 + 1. Determine -5*f(s) - m(s).\nAnswer: -5*s**3 + 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, f: 4, b: 2}. What is prob of picking 2 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 9*b - 312. What is the tens digit of -4 - (-15)\/3 - b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -94, -27, 92, 269, 510, 821, 1208?\n\"Answer: a**3 + 20*a**2 - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56.31488, -3, -0.08, -0.3 in increasing order.\nAnswer: -56.31488, -3, -0.3, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3439\/31 + 111. Let g(t) = t**2 + 4*t + 4. Let i be g(-2). Does z = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 3*w - 241. What is the units digit of (1 + (-82)\/(-10))\/(w\/590)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g. Let t be 1*(g + 5 + -2). Suppose -i - 67 = -s + i, -4*i = t*s - 171. Is 22 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743226.8mg in micrograms?\nAnswer: 743226800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110001010 - -1111?\nAnswer: -11100101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d9db (base 16) to base 12.\nAnswer: 133b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 156. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/8)\/x**16*x**(-5\/8)*(x*(x\/x**(-15))\/x)\/x assuming x is positive.\nAnswer: x**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/5 - 156*n\/5 - 3042\/5 = 0. What is n?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 8 = 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.05 (b) -471 (c) 463 (d) 0.1 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is -20 at most as big as -2031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llilulqxullqupx. What is prob of sequence uxll?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -10. Is 4 a factor of (5 + 0)\/(o\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323204 divided by -46172.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -7, 322?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3122281 and 0.012.\nAnswer: -0.0157467372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 3*w**2 - 3*w - 2. Let i be j(4). Let p be 57\/12 - (-2)\/8. Suppose 5*r + 15 = 25. Solve i*t = -p*g + g - 4, -t - 6 = -r*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392675203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 46 - 14*j - 52)*(-j**2 + j**2 - j**3).\nAnswer: 9*j**4 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -19470*g - 8871. Is r(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1317 + -31212?\nAnswer: -32531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 978649401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-83)\/(-3320)*(64\/6)\/(-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-28))\/(1\/276). Let c = g + 141. Suppose 15 = 2*d - 0*d - 3*o, 2*o = -6. Solve 2*y - c*m = 0, -d*m - 1 = -3*y + 2*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/124*(-32)\/6.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -244, -636, -1238, -2110, -3312, -4904?\nAnswer: -6946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 4*t**2 - 771*t - 1566. What is g(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10791 - 32369\/3. Factor 0 + 2\/3*j**2 + f*j.\nAnswer: 2*j*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let z be -1*(p\/1 + 0). Solve 2*g = -2*a, 5*g - 2*a = -z*a - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) 3 (c) -6\/11 (d) -1800 (e) -5 (f) 2\/5 (g) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*((((y\/y**(-2\/3)*y*y)\/y*y)\/y)\/y)\/y*y))**43)**(-10\/9) assuming y is positive.\nAnswer: y**(3440\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 2*i**2 - i - 6. Let t be o(3). Let z be (t - -3) + 2 - (7 + -3). Which is smaller: z or -2\/383?\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 g when four letters picked without replacement from {z: 12, n: 1, g: 6}?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-30))\/(8\/(-20)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9469 + 13381. What is the greatest common divisor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 65*k + 100. Let v be o(-20). Solve 2*y + v*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnmssnnnusssnsnmss. Give prob of sequence un.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**8\/60480 - d**7\/7560 + d**6\/720 - d**5\/6 - 17*d**2. Let i(x) be the third derivative of c(x). Let i(w) = 0. Calculate w.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -174. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12263 * 7508.\nAnswer: -92070604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -1\/908?\nAnswer: -1\/908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 505846162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {n: 1, p: 2, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + w + 5. Let b be f(0). Suppose 3*i - 7*z + 2*z = -16, 5*i + z - 20 = 0. Let p = i + b. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 2 - (-24)\/8. Suppose r*p - 50 = 25. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t. Is 2\/1 - t - -125 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 191, 296, 417, 554, 707, 876?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 10. Let b be j(-6). Let k be (-3)\/(-5)*b\/6. Factor -k*x + 0 + 4\/5*x**2.\nAnswer: 2*x*(2*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/42933 - 42937\/171732. What is the closest to 187 in 1, z, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:19 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 6) in base 5?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 690000\/(((-18)\/(-45))\/(4\/5)). What is k rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -367 + 40. Let s = 193 - m. List the prime factors of s.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 235896 divided by -24\nAnswer: -9829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/81000375 and 34\/8409875?\nAnswer: 1539007125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 2\/7, 1, -4\/83?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24 (b) 0.1 (c) -0.0509 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/3 - 275*k**4\/3 + 14360*k**3\/3 + 645860*k**2\/3 + 784320*k - 17466624 = 0.\nAnswer: -18, 7, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 - 1367\nAnswer: -1365.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 15*s - 490677*s**3 - 294*s + 90*s**2 + 490678*s**3 = 0.\nAnswer: -93, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*i - 51, 5*b = 5*i + b - 88. Suppose -h - 6*p + i = -3*p, -4*h - 5*p = -94. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16431109.\nAnswer: 337, 48757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*o - 0*b + 13, 5*b + 15 = 5*o. Suppose -2*m = 4 - o. Which is bigger: -4\/7 or m?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78\/13 + 1 + 412\/(-60)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.319 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-49720)\/4970)\/((-4)\/(-42)*6).\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38817566 or -38817564?\nAnswer: -38817566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*j + 109, 121 = 5*j + 2*v + v. Suppose -192 = -0*c - 12*c. Suppose c*z = 17*z - j. List the prime factors of z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775040419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -16, 1, -6, 10\/3 in decreasing order.\nAnswer: 10\/3, 1, -8\/5, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 g when four letters picked without replacement from uubbbbubbbbbbbbbubug.\nAnswer: 364\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 12:43 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3892613080 - -3892612323.99999576. Let d = u + 756. Round d to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 329 + 37 = c, 4*c - 1457 = 3*t. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 75600 (b) -0.4 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-12)\/(-21)))\/(890\/40 - 22).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 x when four letters picked without replacement from xxwwwxywwywwywyy?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1161\/7 - -5791\/35. What is the nearest to -14\/11 in 0.1, m, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 16 = -n, -2*z - 15*n + 8 = -20*n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 33005*a - 297056. Give d(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 19 = 3*f, 0*o = -2*f - 3*o - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -886 = 56*r + 122 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -51.73. Round n to 2 decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -330 + 334.46. Let b = 0.44 + c. Let d = 0.07 + b. Round d to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 2*x**2 + 41*x**4 + 4*x**3 - 39*x**4 in the form b*x + n + z*x**2 + l*x**3 + p*x**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12184*m + 13 = -2*d + 12181*m, 2*d = 4*m - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/(-3))\/((-3)\/36). Let t = r - -242\/3. Sort 2, t, -3\/8 in decreasing order.\nAnswer: 2, t, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3*j - 7*j + 3, 0 = -2*o + 4*j + 22. Suppose -6*u = -u - o. Which is greater: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**7\/420 + r**6\/72 - r**4\/8 + 13*r**2. Let z(m) be the second derivative of y(m). Find the second derivative of z(c) wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 + -97. List the prime factors of d.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7530, -1, 6, 4 in increasing order.\nAnswer: -7530, -2, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 15*q + 13. Let c be j(9). Let i = 52 + c. Suppose -3*n + i*n - 32 = 0. Solve 10 = -n*t + 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let k(m) be the first derivative of m**4\/4 + m**3 - m**2\/2 - m + 2. Let j be k(-3). Let h(g) = 5*g**2 + 3*g**2 - 4*g**j. What is y(h(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/1*(9 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 5. Let z(b) = b + 0 - 3 - 2*b**2 + 2 + 3*b**2. Let u(f) = t(f) + 6*z(f). Factor u(o).\nAnswer: (o + 1)*(6*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 372 + 1094. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.95 - 16.949982. Round w to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121 - -124.32. What is n rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5 + 140*q**4 - 500*q**3 - 4520*q**2 + 690*q + 18396 = 0.\nAnswer: -73, -3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 449520127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 2*x + 3. Let d(k) = 2*k**3 + 24*k**2 + 90*k - 124. Let c(n) = -d(n) - 4*y(n). Determine b so that c(b) = 0.\nAnswer: -8, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10208 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 10:06 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13 + 1\/2*m**3 + 11\/2*m + 7*m**2.\nAnswer: (m - 1)*(m + 2)*(m + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1098 - 2355\/2. Let p = -80 - h. Which is the biggest value? (a) p (b) -18 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/((i*(i\/(i*(i*i**2*i)\/i))\/i*i)\/i*i)))**(-8\/7)*(i**(-1\/5))**45 assuming i is positive.\nAnswer: i**(-39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 492013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**3 + a**2. Suppose 4*r - 87 = -83. Calculate the lowest common multiple of r and h(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - p - 1. Let a(i) = -3*i**3 - 2*i**2 - 5*i. Let s(o) = 16*o**3 + 10*o**2 + 26*o - 1. Let x(h) = -11*a(h) - 2*s(h). What is x(f) + 2*y(f)?\nAnswer: f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 405 + -616. Let q = -32 - l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 2)*1\/1. Let c be (-115 - -118) + 204\/(-2). What are the prime factors of -4*(y\/(-4))\/(1\/c)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 0*n = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, a: 2}. What is prob of picking 1 a and 2 m?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:11 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + m**4 - 5*m**4 - 4*m - m**4 + 4*m + (2*m**4 + 2*m**4 - 2*m**4)*(4 + 0 - 3) + 286*m**4 - 131*m**4 - 144*m**4 - 1 - m**4 + 1.\nAnswer: 9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**11)**(-12\/7)*(n*n**(19\/5))\/n*n**24\/n*n)**(-1\/15) assuming n is positive.\nAnswer: n**(-313\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -121*n**2 + 498*n**2 + 2*n - 2 + 1668*n**2. Is y(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*sqrt(12)\/sqrt(4)*-4.\nAnswer: -24*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2671224235 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h**3 - 3*h**3 + 5*h**3 + (0 - 2*h**2 + 0)*(0 + 0 + 2*h))*(0 + 1 + h - 2).\nAnswer: -8*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 1, 2.055, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 2736*t**2 + 483981*t - 2488680.\nAnswer: 3*(t - 5)*(t + 248)*(t + 669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 + 41 - 2. Suppose q = 4*p - 325. Calculate the greatest common factor of p and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*r = 2548*r - 3417 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 18 + 9*y + 12 - 8*y in the form d*y + x and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1581 divided by -31\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 1. Let w = -7.7 + n. Let h = w - 2.3. Which is the smallest value? (a) h (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 9596400*c**2 - 9596395*c**2 + 133*c - 4.\nAnswer: 5*c**2 + 133*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5077399.\nAnswer: 37, 41, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*q = 2*l + 25, -2*l + 27 = 3*q. Let p(t) = 5*t**2 + t - 1. Let u be p(1). Solve u*m = 2*m - l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9641445 to the power of 1\/2, to the nearest integer?\nAnswer: 3105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h. Let p(i) be the third derivative of i**5\/20 - i**3\/2 + i**2 + 387*i. What is s(p(k))?\nAnswer: 36*k**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/4 + 9 + 20*(-11)\/(-44)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 11754?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**3\/6 - 19*h**2. Let q(o) = o**2 + o - 6. Calculate -5*d(n) + q(n).\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1076783757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 1\/30*i**5 - 1\/20*i**6 - 3 + 0*i**3 + 0*i**4 + 0*i + 20*i**2. Let n(l) = -7*l**3 + 3*l**2. Calculate -3*n(u) + 4*q(u).\nAnswer: -3*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.023 in -0.2216, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(2*sqrt(5) + sqrt(5))*2)\/(sqrt(384)*-2 + (sqrt(72) + (sqrt(72)*1 - sqrt(72)))\/sqrt(12)).\nAnswer: -2*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0771287 litres in millilitres?\nAnswer: 77.1287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 = -2*l + v + 1440, l + 2*v = 452. Suppose l = -4*j + 19*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -335, -675, -1017, -1361?\n\"Answer: -f**2 - 337*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 19. Which is the nearest to 0.2? (a) h (b) -0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100010000001100 (base 2) in base 10?\nAnswer: -50188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 6*m**2 + 5*m**2 - m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273 a factor of 7998687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1473 = 4*m - 475. What are the prime factors of m?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(147))**2 - ((sqrt(243) + -1 + sqrt(243))**2 + sqrt(243) + sqrt(243)).\nAnswer: -826 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -15 + 12 + -11 + -66 + 8?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3212*o**3 + 220*o**2 + 220*o. Let n(t) = 44*t**3 - 3*t**2 - 3*t. What is -220*n(w) - 3*u(w)?\nAnswer: -44*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 100021100?\nAnswer: -100021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 19. Let i(t) = t**2 + 5*t - 8. Let q be i(d). Let w = -112.1 + 113. Which is the closest to w? (a) q (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -429 (b) 2 (c) 639\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12811.9 + -12812. Which is the closest to 1\/4? (a) -4 (b) 1\/4 (c) p (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/141 - 427\/282. Which is the closest to 2? (a) l (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 611564064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/35, 4, 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*u**6 - 2*u**4 + 245*u**2.\nAnswer: -6720*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 3\/305, -3\/4, -4\/57, 63, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 1539*s - 3 + 767*s + 2.\nAnswer: 2*s**2 - 772*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:05 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 - 2*c**3 - 1 + 6*c**3 - c + 2*c**3 - 3*c**3. Let v(d) = -2*d**3 - d - 1. Suppose -y - 6 = -4*y. What is y*b(i) - 3*v(i)?\nAnswer: 2*i**3 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 divided by -3?\nAnswer: -278\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141125.\nAnswer: 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-13 - -11) + 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, 465, 1358, 2671, 4410, 6581?\n\"Answer: i**3 + 201*i**2 - 131*i - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93702?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**5)\/b*b*b\/(b**(-3\/11)*b))\/(b**1*b*b**11))**(-4\/37) assuming b is positive.\nAnswer: b**(736\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8372 - -8368. What is the closest to -1 in m, -0.4, -143?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2346519 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -1*(2 + -1). Suppose h = -3*r + 18 - 0. What is the units digit of 43\/5 + r\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**7\/98 + 3*w**5\/140 - 14*w - 13. Let q(v) be the first derivative of o(v). Determine s so that q(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(19\/(-57))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 4*v**4 - 61*v - 1 - 16391*v**3 - 15*v + 6*v**4 + 16393*v**3 in the form q*v**2 + r + w*v + y*v**3 + a*v**4 and give w.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -115843, -231664, -347485?\n\"Answer: -115821*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 11, -149, 0.1, 11\/4, -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 88 + 80. Suppose -z*y = 6*y - 2058. Calculate the remainder when y is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h - 63. Let v be m(-5). Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = -m + 3*t, 0 = 4*m - 5*t - 11. Let i(r) = 4*r**2 - 2*r - 1. Determine i(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111101 (base 2) to base 16\nAnswer: 7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 3\/188 (c) -4\/9 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9303739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59102541*h - 59102541*h + 4*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 114\/15)*-20*1. Suppose 37 - k = -5*r. Let o be -3*(-3)\/(-7)*1. Which is greater: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 830 + -822. Which is the smallest value? (a) 1 (b) 5\/2 (c) k (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254011?\nAnswer: 19, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Let r = -6 + 6. Suppose -5*o - 12 = k, 3*k - 2*o + r*o - 32 = 0. Let d = k + -7. What is j(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 3.3. What is the smallest value in -0.2, a, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 5*z**2 + 4*z - 7. Suppose -q + 5 = 11. Let p be t(q). Suppose -x = -0*x + i - 69, 4*x + p*i - 274 = 0. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 315, 2580, 8731, 20712, 40467, 69940, 111075?\n\"Answer: 324*d**3 - d**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266\/11 or -23?\nAnswer: -266\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76665 (base 8) to base 7.\nAnswer: -162552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, -2\/13, 269, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 30*k = -27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4929, -35261, -114327, -265455, -511973, -877209, -1384491, -2057147?\nAnswer: -2918505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21788, 43556, 65306, 87026, 108704, 130328, 151886, 173366?\nAnswer: 194756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21064*k**2 - 10509*k**2 - 10529*k**2.\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.71 in 0, 1, 2\/19, -1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594065 and 167526330?\nAnswer: 167526330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -407. Let k = -331 + x. Solve 3*s + 4 + 2 = k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 - 2*k + 2*k + (k**2 + 0*k**2 + k**2)*(35 + 92 + 43).\nAnswer: 342*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38983, 38945, 38893, 38821, 38723, 38593?\n\"Answer: -f**3 - f**2 - 28*f + 39013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (23 + 3 + 0 + -130 + 130).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 88, 204, 346, 514, 708, 928?\n\"Answer: 13*x**2 + 77*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -679 + 960. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 3798?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21122112122010021 + -11?\nAnswer: -21122112122010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000430368566 rounded to seven dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 + 581*r - 186*r - 181*r - 41*r - 4*r**2 - 176*r.\nAnswer: 6*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbll. What is prob of sequence llbl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50283 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-5)*26\/((-1248)\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltmlwllwxlttw. Give prob of picking 1 w and 1 t.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {d: 1, u: 1, e: 1, k: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 8*g**2 + 2*g + 13. Calculate s(9).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from ysyynyryrrynneu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -241977 - 0.603\nAnswer: -241977.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 1, c: 2, a: 2, j: 2, m: 1}. Give prob of sequence ja.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a - a - 4*a)*(-2 - 2*a + 2) + 454*a - 220*a - 234*a + 3444*a**2 to y*a + n + v*a**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 52?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16188)\/(-1136))\/57*((-12)\/(-59))\/(-1).\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2594 + 2597. Solve 0 = -t*p - 287 + 281 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12387627 + -12387628.00000008. Let o = -1 - g. Round o to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-24)\/(-20))*(-95)\/(-418)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -217, -240, -281, -346, -441?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 819091 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 - 152.000644. What is a rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q*q**(3\/14))\/q*q)\/q)\/q**(1\/12))\/(q**(-4)\/q*q**1*q) assuming q is positive.\nAnswer: q**(347\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((12\/(-8))\/(-3)*0)\/1. Let r = a + 4. Solve -3*c - r = -0*m + 4*m, 2*m - c - 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/3852 - -49115\/7704. Let x = 55714\/5 - 11195. Let q = x - -1597\/35. Find the common denominator of n and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-45))\/8)\/(25\/(-3) + 8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/30 and -71\/7395045?\nAnswer: 14790090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 - 208. Let u(y) = -6*y**2 - 5*y. Let p(q) = 7*q**2 + 6*q. Calculate b*u(j) - 5*p(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1822767 (base 9) to base 11\nAnswer: -636691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 2*a - 3\/20*a**5 + 0*a**2 + 0 + 1\/2*a**4 + 0*a**3. What is the third derivative of h(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9) + (-28)\/12. Let g be (n + (-16)\/(-4))\/((-2)\/4). Which is the second smallest value? (a) -0.2 (b) -0.1 (c) 5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -49562772\/13 and -3812520 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 126 - 5*o**2 + 2*o + 4*o**2 - o - 125 as y*o + r + x*o**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrql when four letters picked without replacement from zlqqzhrn.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + a**3 - 1 - 4*a**3 + 3*a**3 + 2*a**3 + (0 + 0 + a**2)*(6*a - 2*a + 2*a) to d*a + s*a**2 + l + r*a**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 96*m - 513. Let t(r) = -6*r + 32. Let c(w) = -2*g(w) - 33*t(w). Calculate the remainder when 50 is divided by c(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + -142?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -25\/177202049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1190*k**2 - 5*k + 561. Let r(d) = -1193*d**2 - 6*d + 560. Let z(u) = 5*r(u) - 6*x(u). Find the first derivative of z(a) wrt a.\nAnswer: 2350*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)\/(sqrt(120)\/(sqrt(20)\/sqrt(2))))**2 + -6*(-1*(sqrt(13) + 1*sqrt(13)))**2*-4.\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6327855 is divided by 389?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/7 + 192\/(-56). Let s(t) = -24*t - 26. Does 7 divide s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-4) + 548\/182*-1. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 4*t + 1. Let z(s) = -2*s**2 - 15*s + 122. Let u be z(5). Let h(r) = -4*r**2 - 5*r. Give u*p(c) - 2*h(c).\nAnswer: -c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 185 + -70 + 62 + -101.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2, 0.08, 0.2, 15 in ascending order.\nAnswer: 0.08, 0.2, 2, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.1, 5\/3, 0.5, -15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176 + c**2 - 10*c + 6*c**3 - 19*c**3 - 173 to the form t*c**2 + l*c**3 + z + v*c and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2141301190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4904 - -4907. Let t = 9.4 + -1.4. Sort 0.3, t, b in decreasing order.\nAnswer: t, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-1)\/15). Let o = g - 3. Solve -2*w + 12*w + 4 + 0*w**2 - 10*w**3 - 4*w**o = 0 for w.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, -43905, 5, -3 in descending order.\nAnswer: 5, 2, 0, -2, -3, -43905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 1\/16*n**5 + 0*n**3 + 1\/160*n**6 + 0 + 0*n**4 - 20*n**2 + 0*n. Let v(i) = 0. Calculate i.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110161663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 41*m + 1624. What is n(65)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*s. Let w = s + 1. Solve -10 = -3*y - w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 14) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 881282, 1762562, 2643832, 3525086, 4406318, 5287522, 6168692?\n\"Answer: -h**3 + h**2 + 881284*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 9.\nAnswer: 47\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(4*u - 3*u - 3*u) + (112*u - 125*u - 52*u)*(0 - 3 - 1).\nAnswer: 258*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (23 - 26)\/((-6)\/40). Let n be (3 + 1)\/h*(-5)\/(-4). Which is smaller: 0.8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2 - 1217142*n + 123452887347 = 0?\nAnswer: 202857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 19*w**2. Let v(j) = -8*j - 3. Let g(d) = d + 1. Let s(p) = -3*g(p) - v(p). Calculate s(h(a)).\nAnswer: 95*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-8) - (1 + (-1078)\/176).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/10)\/(-4)*400\/(-16)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 + 5*j + 5. Let d be r(3). Suppose -d*c - 3413 = -102*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5 - 16*j**4 - 8*j**3 + 48*j**2 + 36*j.\nAnswer: 4*j*(j - 3)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + -3 + -2)*-6. Let f(s) = s + 8. Let i be f(l). Solve 4*p + 6 = i*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**3 - 1 + 116*o**2 - 113*o**2 + 2*o**3 + 66*o**5 wrt o?\nAnswer: 3960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3590664?\nAnswer: 2, 3, 7, 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d**2\/3 + 7570*d\/3 + 1892\/3 = 0. What is d?\nAnswer: -946, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 438*l**2 + 2085 - 1067*l**2 + 627*l**2 to the form a + g*l**2 + w*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((30\/(-3))\/40)\/(3\/(-4)). Is -1\/214 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 23. Let a(r) be the third derivative of 1\/168*r**8 + 1\/40*r**6 + 0*r + 0*r**3 - 1\/24*r**4 - r**x + 1\/42*r**7 + 0 - 1\/60*r**5. Factor a(k).\nAnswer: k*(k + 1)**3*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) 0.19 (c) 733.2 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 18 = 3*r, -31 = 4*r - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2283*r - 5931*r - 3860*r - 1 + 1253*r.\nAnswer: -10821*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 196619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282448109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5041466476?\nAnswer: 2, 397, 613, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3426, -3427, -3428, -3429, -3430, -3431?\nAnswer: -3432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 108.79 - 111. Let j = -2.2 - l. Let b = -0.021 - 0.179. Put b, j, -2, 1\/4 in descending order.\nAnswer: 1\/4, j, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*r - 3*r - 15, 3*r = -5*o - 9. Suppose o = 5*u - 0 - 10. Solve 0 = 3*x + u*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 + 4*t - 3. Let a(d) = -d**2 - d + 1. Let b(z) = -5*a(z) - s(z). Give b(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688 and 251464?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)*1)\/sqrt(4) - sqrt(49))\/(sqrt(70)\/sqrt(90)) - (2 + sqrt(49)\/((sqrt(448) - (sqrt(448)*-2 + sqrt(448))) + sqrt(448) - sqrt(7))).\nAnswer: -2 - sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-240)\/27))\/((-24)\/64)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.065, 1\/4, 0.5, 3, -2\/3, 10 in descending order.\nAnswer: 10, 3, 0.5, 1\/4, 0.065, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 242213.8l in millilitres?\nAnswer: 242213800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.765 + 0.245. What is l rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10530*n**3 + 18038*n**3 + 3 - 1092*n**3 - 3.\nAnswer: 27476*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 15 = 7*f. What is the remainder when f is divided by 20\/11 + (-12)\/(-66)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 28. Let w be f(-20). Suppose -2*m + 6*m - 3*n = w, 4*m + n - 48 = 0. Let a(k) = k**3 - 10*k**2 - 23*k + 7. Is a(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 367665 and 480570.\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 21*g - 37. Let c be l(2). Which is smaller: -451 or c?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.13 + -0.2. Let u = p - 0.93. Let n be ((-9)\/(-3) + -1)\/(-3). Which is the closest to -2\/7? (a) 0.3 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 bigger than -245\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1741, 1739, 1737, 1735, 1733, 1731?\n\"Answer: -2*s + 1743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00460194 to 5 decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*t - 51 = 76*t + 60*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, c: 13, j: 1}. What is prob of sequence cj?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1063 + -1667. Let l be (0 - -1) + (0 - 16). What is the units digit of (1 - l\/(-9)) + g\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(112))\/sqrt(4))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -78201993\nAnswer: 4\/78201993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/55)\/(-3 - 87\/(-15))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 417624 - 189239. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 910*k**2 - 26105*k + 139860.\nAnswer: -5*(k - 148)*(k - 27)*(k - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.8 + 25. Let f = m + 12.8. Which is the fourth biggest value? (a) 0.07 (b) f (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4\/4 - 2*g**3 + 3*g**2\/4 = 0. What is g?\nAnswer: 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/7)*s)**(-2\/11)\/((s\/(s**(1\/23)\/s))\/s*s**(-2\/5)) assuming s is positive.\nAnswer: s**(-6768\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*c + 0*c - 6*c**2 + c**2 + 11*c.\nAnswer: -5*c*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**2 + 2. Let s(f) = -5*f**2 - 78*f - 108. Let h be s(-14). Let p(x) = 5*x**2 + 1. Determine h*p(t) - 3*l(t).\nAnswer: 5*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - 11*t**2 - 8*t - 16. Let s be v(-11). Find the common denominator of 21\/10 and -4 + 324\/78 - s\/650.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323414053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21266.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -156*c**2 - 354441*c - 817110 = 0.\nAnswer: -9079\/4, -30\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**3\/2 - 3*k**2 - 11*k. Let x be l(13). Let d = x + -31. Solve d*v = -2 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4359900 is divided by 1622?\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65777933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 0*s**4 - 17*s**2 + 1\/10*s**5 + 0 + 0*s + 0*s**3. Let c(g) be the second derivative of -g**4\/6 - 2*g. What is x(c(f))?\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 32 = 5. Suppose -g*l = -160 - 38. Let c be 2182\/22 - 12\/l. What is the greatest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4463189 is divided by 11328.\nAnswer: 11285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 11*d**5\/60 - d**2. Let j(n) = -11*n + 6. Let w(k) = -9*k + 5. Let a(p) = 5*j(p) - 6*w(p). Calculate x(a(l)).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2400156, -2400168, -2400182, -2400198, -2400216, -2400236, -2400258?\nAnswer: -2400282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2. Let u(h) = 24*h**2 + h - 22. Determine u(d(m)).\nAnswer: 24*m**4 + m**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393 and 582033.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 285\/(-30))*14\/(-1)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -55. Put g, 1, -4 in ascending order.\nAnswer: -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -730, -1463, -2194, -2923, -3650?\n\"Answer: j**2 - 736*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1098\/55 (c) -3\/7 (d) -3561\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 7*v - 24. Let h = 18 + -11. Calculate the lowest common multiple of v and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16063.\nAnswer: 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 1. Let k(m) = 7*m - 5. Let h(w) = 2*k(w) - 10*r(w). Let p(f) = -2*f + 2 - 5 + 3. Let j be (-2)\/(-10)*-2*-5. Determine j*h(s) + 5*p(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -0.5 (c) -2\/111 (d) -9\/140 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 403403355 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6\/19*v - 80\/19 + 2\/19*v**2 = 0 for v.\nAnswer: -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-25512766\nAnswer: 51025532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 890\/623*(-3)\/15.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 - 1.6. Let f = 0.01 + 2.99. Which is the second biggest value? (a) v (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4302, -2\/585 in decreasing order.\nAnswer: 4302, 5, -2\/585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006681 rounded to 5 dps?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = 5*k - 6939, -1398 = -k - 3*s. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -937 + 1033.4. Let v = -96 + u. Which is bigger: v or 2\/17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/631, -2\/3 in decreasing order.\nAnswer: 3, 2\/631, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = -2*s. Let l = 20 + s. Solve 0*x + l = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.217 - 91.373. Let k = h - -83. Round k to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -3b5a1?\nAnswer: 3b5a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:13 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(272)*-3.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259020 and 14778?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4758760.81048 and 21.\nAnswer: 4758781.81048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 84824 and -77 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93598390 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7082850 - 5?\nAnswer: -7082855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 76, 22, -112, -362, -764, -1354, -2168, -3242?\n\"Answer: -6*k**3 - 4*k**2 + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 988317 and 2144.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 = 0, 2*k - 5*x + 27 = 86. Suppose 0 = 8*s - 7*s - k. What is the remainder when 85 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 3*v - 5. Suppose 0 = -4*q - 19 + 39. Suppose -2*b + 41 = -q. Calculate the remainder when b is divided by g(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)*-5 - (-3*(sqrt(136) + sqrt(136)*2) + sqrt(136)))\/(sqrt(8) + sqrt(128)*3 + (sqrt(8) + sqrt(8)*2)*4 + sqrt(8)).\nAnswer: 3*sqrt(17)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 10:24 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -2)\/(32 - 15 - 21). Let m = -7.14 - -0.14. Let r = -7.1 - m. Which is the closest to r? (a) 0.08 (b) d (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) -1\/4 (b) 2\/7 (c) 0.01 (d) 413 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 50. Let v = t - -49. Suppose -10*w + v*w = 1257. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 4*n - 5*p, 3*p + 3 = -2*n - 2. Let o = 5 + n. Let w(g) = g**2 + 2*g - 5. Let t be w(o). Round t to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 34 = -6. Suppose y = 4*b - 5. What is the derivative of g**2 + b - 5 + 0 wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*g**2*n*y - 923*g**2*n*z - g**2*n + g**2*y + 3*g*n*y - g*n + 5*n*y*z wrt z?\nAnswer: -923*g**2*n + 5*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 2*g. Let i(d) = 10*d**3 + 9*d + 2*d**2 + 1 + 23*d**3 - d**2 - 37*d**3. Determine -9*h(r) + 2*i(r).\nAnswer: r**3 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -168091313 or -168091315?\nAnswer: -168091315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 452263.999994 - 452265. Let p = r + 1. What is p rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*q + 9, -5*q = 2*w - 9 - 24. Sort -16, w, -1 in ascending order.\nAnswer: -16, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*f - 199755 - 7547 = 0, -2*q - 5*f + 82914 = 0. List the prime factors of q.\nAnswer: 2, 20731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + (-3*sqrt(88)*-1 + sqrt(88) + -5*(sqrt(88) + sqrt(88)*-1))\/(sqrt(80)\/(sqrt(800)\/sqrt(5))))*6)**2.\nAnswer: -18432*sqrt(11) + 407808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7946 + 3970 + 46*d + 3976.\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22339 - 13125. Is d a multiple of 271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94 - 667*g - 105 + 880*g + 67 wrt g.\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 4) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 4:25 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0. Suppose -f - 2*f - 12 = 0. Let u = f - -7. Solve 0*s + u*s = l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17833 - -17835. Let a(i) be the second derivative of 0 + 0*i**s - 1\/15*i**4 - 26*i + 2\/5*i**3. Factor a(n).\nAnswer: -4*n*(n - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5699475m to millimeters.\nAnswer: 569.9475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3289 - -5156. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 11:19 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 636043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s**5\/5 - 28*s**4\/5 + 88*s**3\/5 - 68*s**2\/5 + 14*s\/5 = 0 for s.\nAnswer: -7, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/116599 and 40\/149913.\nAnswer: 1049391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2213 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 1. Let i be s(-1). Suppose -16*g + i*g**3 - 34*g**2 + 0*g**3 + 0*g**3 + 12*g**4 - 16*g - 8 = 0. What is g?\nAnswer: -1, -2\/3, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1557000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 1 + 3)*(3*x + x - 6*x) - 10 - 6*x + 10)*(-4*x**3 + 4*x**3 + 3*x**3)*((3 - 4 + 3)*(2*x - 3*x + 0*x) - 2*x - 10*x + 47*x).\nAnswer: -198*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, 1, -5, -59, 2, -1, 5 in decreasing order.\nAnswer: 5, 2, 1, -1, -5, -59, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-255)\/2448)\/((-10)\/8)*2\/(-1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -222, 0.09, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197192*r**2 + 287624*r + 104882 = 0. What is r?\nAnswer: -229\/314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 5:42 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 + 1976. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one tenth of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-1)\/(7\/2)). Let b be (-28)\/(r - -4 - -1). Suppose -10*o + b = -3*o. Solve -23 = -i - 4*z, 0*i - o*z = 3*i - 19 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 9:00 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 242*q - 113. What is the remainder when p(6) is divided by 444?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4*h = 8*v, -4*h = -20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, 0, 32, 100, 216, 392, 640?\n\"Answer: 2*v**3 - 6*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -10\/3*w**2 + 0*w**5 + 0 - 1\/18*w**6 + 0*w**3 + 25\/36*w**4 + 48*w. What is t in z(t) = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25094*r**3 - 13 - 1 - 2*r**2 - 25092*r**3 + 4*r to f*r**3 + z + m*r + d*r**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4*v + 16 = -20, 2*g = 4*v - 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207 - -9. Suppose -n = h - 5*h. Suppose -6 + h = y. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070685?\nAnswer: 3, 5, 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1338*x**2 + 3 - 2768*x**2 + 1372*x**2 + (2 - 2 + x)*(x + x - x) + 4*x**2 - x + x.\nAnswer: -53*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 2*n**3 - 25*n**2\/2 + 1655*n. Give z(6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/10 and 71\/15825.\nAnswer: 31650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 - 299*h**2 + 608*h**2 - 309*h**2 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-306)\/(-32))\/(-17))\/(78\/104).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 + 4*c**2 + c + 3. Let w(b) = -201*b**3 - b + 5*b**2 - 3 + 3*b + 7 + 204*b**3. Let i = 11 - 7. Suppose 6*x + 15 = x. What is i*m(j) + x*w(j)?\nAnswer: -j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6390)\/(-4950) + (-3)\/33. Suppose -6\/5*l**2 - 2\/5 - t*l - 2\/5*l**3 = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 5*j - 8. Let v(l) = l**2 - 74. Let z be v(9). Let p = j + z. Solve 3*s + w + 17 = p*w, 11 = -5*s - w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -523 by -241.\nAnswer: 523\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13637*l**2 + 175. Let q(n) = -4*n. Give q(p(k)).\nAnswer: -54548*k**2 - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 521000 to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 5*h**2 + 457*h - 28. Let y be x(24). Let r be 2*((-9)\/(-2) - 2). Sort r, -3, -5, y in increasing order.\nAnswer: -5, y, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b + 1. Let z(i) = 11*i - 2. Let x(k) = -8*p(k) - 5*z(k). Let t(o) = 2*o + 2. Determine -3*t(u) + 4*x(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68534406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4909 divided by 4909\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -32*n - 2. Let w be r(-1). Let q be (w\/45)\/((-2)\/3). Which is the third biggest value? (a) -1\/2 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 505414 by 2777.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1 + 3*h**3 - 29*h - 4*h**3 - 6*h**2 + 25*h. Let c be (-6)\/9 - 13\/3. What is a(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4393.7563332 - 5106.75633124. Let n = -713 - q. What is n rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = 422. Suppose 0 = 3*h - d - f, 5*d + 29 = h - 18. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -11*f - 3. Let x(q) = -11*q - 4. Give 3*v(l) - 4*x(l).\nAnswer: 11*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a**2 - 5*a - 5. Let y be n(-4). Let w = -149 + 31. Let j = w + y. Calculate the remainder when j is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6662 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 322712381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -163, 40, 323, 686, 1129, 1652?\nAnswer: 2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -271120, -542218, -813318, -1084420?\n\"Answer: -c**2 - 271095*c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -123 + 151 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w. Let s be (-1 - 0)*-1*w. Let m = -3 - -8. Sort m, s, -3.\nAnswer: -3, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697164043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001883844 rounded to six decimal places?\nAnswer: 0.000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = n - s, -363*s + 142 = 5*n - 362*s for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 - (-1 + 1) - 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(40\/(-12))*-15. What is the units digit of 279 + (-48)\/(-36)*c\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 3439, 0.2, 5\/4, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 21*m - 45. Give v(26).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(4\/5))\/y*y**(-4)*y**(-2\/9)*y\/(y*y**6\/y))**(36\/7))**17 assuming y is positive.\nAnswer: y**(-30668\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 56, 4, 134, 1\/2?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 363 + -41. What are the prime factors of t?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -23.70146, -1\/2 in descending order.\nAnswer: -2\/13, -1\/2, -23.70146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*375725.\nAnswer: -488442.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.2767774 * -0.3.\nAnswer: 2.18303322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6 = -15. Let s = -2 + r. Suppose -s*c = -2*c - 12. Solve -c + 0 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000025111 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = 38 - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.2. Let g = 81\/35 + -13\/5. Which is the nearest to x? (a) 0.2 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3174224 divided by 79?\nAnswer: -3174224\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/9 - 10666*d**2\/9 - 28600204*d\/9 - 282811240\/3.\nAnswer: -(d + 30)*(d + 5318)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2266*v - 2*q - 10 = -2264*v, -5*q - 1 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-6)*(-2)\/(-9). Suppose -m - 4 = -9. What is the smallest value in -1, a, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**2 - 4*b + 5. Let m(s) = 15*s**2 + 7*s - 9. Give -6*m(u) - 11*p(u).\nAnswer: -13*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/((-9)\/(-18)). Factor 2*i + 0*i**2 - 2\/3*i**3 - p.\nAnswer: -2*(i - 1)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91370*b**3 - 91381*b**3 + 182748*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsosoassosoosssss. Give prob of sequence ob.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 5, 1\/8, 0.03, -40023?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18347356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 - 4*j - 4. Let q(g) = -245*g - 59. Let s be q(-2). Let n = -437 + s. Let p(f) = f + 1. Calculate n*p(r) - z(r).\nAnswer: -3*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -4 (c) 4 (d) 1 (e) -775 (f) 15 (g) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2151*u - 31. Let g(x) = -1076*x + 17. Determine 11*g(f) + 6*m(f).\nAnswer: 1070*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98886 is divided by 1398?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c90 - 0?\nAnswer: -c90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 67.9 (b) 5 (c) -5 (d) 3\/7 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3877519 years in millennia?\nAnswer: 0.0003877519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from yeyeyddygdx.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13325684 and 6692?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5524)\/14)\/(64\/(-224)) is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-20))\/((-694)\/1388).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2000 divided by 5.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 1, 6298?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61\/360 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 14*k - 33. Determine l(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.071134396636 and 23?\nAnswer: 24.071134396636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 11) in base 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(8\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-7\/5))**(10\/19) assuming r is positive.\nAnswer: r**(-14\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 + 0.46. Let k be (-4)\/8*-6 - (5 + 3). What is the second biggest value in k, 4, -0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + -58 + 39 + 11.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-6))\/(((-6)\/(-16))\/((-438)\/(-2336)))\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 - (676\/(-70) + (-235)\/1645).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 366 - 437. Let h = 90.8 + -19.4. Let v = b + h. What is the smallest value in v, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-126)\/588)\/(4\/14). Which is the second biggest value? (a) -0.8 (b) z (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = 2*h - 2, -12 = -5*a + 2*h. Let m(r) be the first derivative of -2 + a*r + 5\/2*r**2. What is the derivative of m(p) wrt p?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3960 and 96?\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403 + 808 - 405 - 3*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2601894 divided by -6.\nAnswer: -433649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 317 and -0.0194?\nAnswer: 317.0194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163, 134, 95, 40, -37, -142?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 895640, 895633, 895616, 895583, 895528, 895445?\nAnswer: 895328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -240 - -50?\nAnswer: -1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*n)*(-2*n - 2*n + 5*n) - n + n + 2*n**2 + (12 - 12 + 5*n)*(-2*n + 3*n - 2*n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855*m**2 + 3362*m**2 - 870*m**2 - 795*m**2 - 870*m**2.\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 653 (b) -1 (c) 1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.131 rounded to 2 decimal places?\nAnswer: -6.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80 + -8065741?\nAnswer: -8065651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*q**3 + 34 - 96 + q - 38*q**3 to the form y + i*q + v*q**2 + t*q**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e730bd9 - -3?\nAnswer: -1e730bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 393, 0.034 in decreasing order.\nAnswer: 393, 0.034, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufffflwwlugwflwl. Give prob of sequence lf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.0142 (b) -5 (c) -1\/3 (d) -0.3 (e) -1\/415 (f) -0.5 (g) -2\/25\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-75) + (-13837499982)\/225. What is d rounded to the nearest 1000000?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.02138 nanoseconds in minutes?\nAnswer: 0.000000003167023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 2. Let k(y) = 3*y + 3. Let j(s) = 3*s + 4. Let l(c) = r*j(c) - 4*k(c). Let t(z) be the first derivative of 7*z**2\/2 + 1. Give t(l(h)).\nAnswer: -21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 6*n - 10. Suppose -d + 3*g + 1 + 10 = 0, -4*d + 3*g + 35 = 0. What is the units digit of p(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slllssssslslsslllsls. What is prob of picking 2 l?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.87 + 8. Let l = 0.33 - n. Suppose -o = -5*f + 14, -2*o + 2*f = -4*o - 4. Which is the second smallest value? (a) -4\/3 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157978139 a multiple of 341?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9365325 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54439 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187372 = -42*h + 304054 + 230280. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z**(1\/3)\/z*z*z))*z)\/z**(-4\/9))\/(z**(-2\/13)*z**(-1\/5)) assuming z is positive.\nAnswer: z**(1832\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/95710 and -22\/19705?\nAnswer: 669970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 7 - ((-5598)\/216 + 18)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*c**3 + c**2 + c**3 - c**2.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - g = 15, 3*g + 1 = -5*s - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1589098, 1589094, 1589088, 1589080, 1589070, 1589058, 1589044?\nAnswer: 1589028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 5*z - 36. Calculate the remainder when 5\/(-4 - (4 + z)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-3*(1*sqrt(19))**2 + -2) - ((sqrt(1216) + -3 + sqrt(1216)*-1)**2*-2 + -3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-375)\/35*35\/(-5). Let c(p) = p - 8. Let h be c(7). Let m = h - t. Which is greater: -75 or m?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1220685 and 240?\nAnswer: 19530960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394023651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v - 9292325*v**2 + 9292328*v**2 + 6*v. Let c(n) be the first derivative of 23*n**3\/3 - 1. Calculate c(j(u)).\nAnswer: 207*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -y + 3 + 3, 0 = 3*y + 3*b + 18 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1 - (3 + (3 - -6) + -14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxxlxlgx. Give prob of sequence ll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39.392 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 - 159*w**2 + 11970*w = 0.\nAnswer: -95, 0, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 81*c**2 + 161*c + 232. Give r(-79).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:26 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 5)\/4 - -5. Find c such that -z*c**3 - c**5 - c**5 + 6*c**4 - 4*c**4 + 2*c**2 + 4*c**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 1779*h - 103068. What is z(60)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 0, -2, -24 in decreasing order.\nAnswer: 5, 4, 0, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3 - (-7 - -8))) + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49545797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -30171472?\nAnswer: -30171472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + -4. Let z be (-24)\/s + (-27)\/(-5). What is the second derivative of -8*l**5 + 29*l - 7*l**5 + 2*l**z - 47*l wrt l?\nAnswer: -260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1781*y + 396871 - 396871)*(y - 6*y + 1 + 3*y) to l*y + g + f*y**2 and give f.\nAnswer: 3562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -5*b - 111, -176*b + 181*b = -4*d - 79 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:22 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10120, 16000, 31946, 62992, 114172, 190520?\n\"Answer: 839*q**3 - q**2 + 10*q + 9272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + (-30 - -29).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105.02 - 104. Let q = k + -1.01999976. Round q to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**3 + 128*b**2 - 846*b + 956. Let m(i) = 2*i**3 - 44*i**2 + 282*i - 319. Let z(l) = -16*m(l) - 5*p(l). Solve z(r) = 0.\nAnswer: 2, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 623, 626, 629?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1 - 5. Suppose 8*r - 14 = a*r. Let m be -4 - r\/(14\/(-12)). Solve -m*q - 20 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 24 = 3*g, -2 + 14 = -2*g + 5*l. Solve 2*q + g - 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8052*x = -104*a - 8057*x - 6646, 2*x = -3*a - 188 for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1, 0.08, -12\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 344.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2924993291?\nAnswer: 11, 191, 227, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(4*sqrt(2736) + sqrt(2736)) - sqrt(2736))**2*1.\nAnswer: 11504880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**2 + 25*p + 25. Let i be -444*24\/(-54) + 2\/3. Let n = i + -173. Let s(c) = -c**2 + 6*c + 6. Calculate n*s(f) - 6*d(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 65510 times -0.09?\nAnswer: -5895.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 276 + 81 = 0. Let x = i + -134. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.6 - 80.4. Let p = 18 - n. Let y = -111.7 + p. Which is the nearest to -3? (a) -0.5 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50.141807*0.05\nAnswer: -2.50709035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90798b - -69?\nAnswer: 907a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s + 16 - 23*s + 19*s)*(11*s - 16*s - 17*s).\nAnswer: -44*s**2 - 352*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13 + 0)*(-8)\/(-10)*40\/(-208). Let w(m) = 2 + m - 2*m**3 + 0*m**2 - 2*m + 3*m**2. What is w(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/8216 and -73\/406929?\nAnswer: 42320616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 37*o + 1098. Let q be i(19). Calculate the greatest common factor of q and 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -d - 2, -51 = -x + 5*d - 25 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445914?\nAnswer: 2, 3, 7, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*6\/(-78)*-2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + -47a?\nAnswer: -46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -4 (b) -2 (c) -2\/3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 45. Let k = l + 55.22. Round k to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 4. Let p(b) = 7*b**3 + 3 - 3*b**3 - b**3 - 2*b**3 - 2*b**2. Let x(h) = 4*p(h) - 3*w(h). Find the third derivative of x(y) wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-378)\/35)\/(-7*2\/(-1435)). Is l > -1105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**2 - 283675*q - 567330 = 0. Calculate q.\nAnswer: -56733, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/30 and -52\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 - y**2 + 2. Let k(h) = -75*h**3 - 2459*h**2 + 5680*h - 1152. Let x(p) = k(p) + 6*v(p). Factor x(l).\nAnswer: -5*(l - 2)*(l + 57)*(9*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 29*s**3 - 32*s**2 + 103*s - 79. Let v(b) = -21*b**3 + 22*b**2 - 69*b + 53. Let l(d) = -7*v(d) - 5*x(d). What is f in l(f) = 0?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 10 - 41 - 40 + 26 + 35*m**3.\nAnswer: 35*m**3 + m**2 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -470 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g. Let p(t) = 3*t. Let l(j) = 17*p(j) + 6*z(j). Let w(i) = 2*i**2. Give l(w(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + (sqrt(832) + 1)*5)*2)**2.\nAnswer: 1600*sqrt(13) + 83304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 8. Let y be x + 0\/(4\/(-4)). Suppose 6 + y = 4*g. Calculate the remainder when 9 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3868*v - 108181. Determine x(28).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:08 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 235, -4, 1 in decreasing order.\nAnswer: 235, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296786899 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffrffffgggwwfggggggf. Give prob of sequence ffff.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 10*y**2 + y - 7. Let t be b(8). Let c = 184 + t. What is the remainder when c is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w. Let i(r) be the second derivative of r**6\/360 - 17*r**3\/6 + 37*r. Let f(q) be the second derivative of i(q). Calculate d(f(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6e (base 15) to base 13\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 11 = 2*i, -3*d = -0 - 15. Let m be ((-28)\/(-6) + 0)*i. Suppose 4*t - 26 = -w, w + t - m + 0 = 0. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000129476 to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 19*a + 26. Let y be h(-4). Let b = 113 + y. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 + -90. Let a = q + 68. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 3*c - 13. Let z be v(6). Suppose 0 = -h + z*i - 0*i + 77, -5*h + 269 = 4*i. What is the remainder when h is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3227484 to the power of 1\/2, to the nearest integer?\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111\/(-15318)*(-6)\/(-6)*5\/((-10)\/12)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/10 + (-34)\/80?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 1:26 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4\/9, -1\/74, -1\/3470, -2\/5?\nAnswer: -1\/3470","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 4349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 2\/7, 2.0127 in ascending order.\nAnswer: 2\/7, 2.0127, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*r + 3 = 2, -r - 4 = 3*p. Let h(m) be the first derivative of 14*m**3\/3 - m**2 - m - 3. Give h(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21439 and 396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0.01 (c) 17 (d) -5\/4 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppbpbppppppppp. What is prob of picking 2 b and 1 p?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 219, 560, 1041, 1662, 2423, 3324?\nAnswer: 4365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 151*h**5 + 2*h**3 - 505*h.\nAnswer: 3020*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*l**4 + 62*l**4 - 3*l**2 - 125*l**4 - 4*l**3 - l**4 + 4*l**3 + (-5 - 2 + 0)*(-l**3 + l**3 - l**4).\nAnswer: 4*l**4 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-19)*12\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b + 0*b + b)*(-8 - 10 - 29 + (-4 + 1 + 2)*(3 + 4 - 5) + 2 - 2 + 3).\nAnswer: -368*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -547.913 - -548. Which is the closest to -1? (a) -0.4 (b) 0 (c) l (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 18 + 38 = 0. Calculate the remainder when 4\/1 - b\/(10\/(-428)) is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}