diff --git "a/data/dm_maths/full_data_1/2331_11255.jsonl" "b/data/dm_maths/full_data_1/2331_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2331_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-9*m**3 + 9*m**3 - 6*m**4)*(-436 - 403 + 718)*(-4*m + 4*m + m).\nAnswer: 726*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -42. Let n(z) be the third derivative of 1\/4*z**4 + s + 1\/3*z**3 + 0*z - 30*z**2 + 1\/60*z**5. Give n(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -551549.\nAnswer: -81\/551549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Let j be 5\/15 + (-14)\/(-3). Suppose 0*q = -s*h + 4*q + 16, 0 = -j*h + q + 4. Sort h, 0.3, 3 in decreasing order.\nAnswer: 3, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1107\/11 + 5575\/66. Calculate the common denominator of 109\/14 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/17 or -4364?\nAnswer: -4364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*((-93338)\/(-28))\/((-1)\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-248 + 115 - 150)*(-28*w - 11*w + 11*w).\nAnswer: 7924*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-168) - (-3)\/21. Let w = 0.3 + -0.2. Let t = 0.6 - w. Which is the smallest value? (a) i (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-3*6\/774). Let i = -211 + l. Sort 5, -0.3, i in decreasing order.\nAnswer: 5, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -60*g - 5 + 3 + g**2 + 2*g**2 + g**3 + 56*g. Suppose 3*a = a - 6. Let k be x(a). What is the highest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -167*t**3 - 325*t**2 - 232*t - 459. Determine r(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/2)*o*o*o**(2\/7)*o**1*o*o**(-4\/9)*((((o**(-2)\/o)\/o*o)\/o)\/o)\/o*o**6*(o\/((o\/o**(1\/13))\/o))\/(o\/(o**(5\/4)*o)) assuming o is positive.\nAnswer: o**(25121\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1149, 7, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 + 43*m + 6. Calculate the remainder when y(7) is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1611308 is divided by 48816?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 8:30 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -563*w + 772*w + 1505*w as u + h*w and give h.\nAnswer: 1714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*y + 1128*y + 33 = 13, 0 = 2*a - 4*y + 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + n + 10. What is i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5.7. Let n = 18.3 + -17.69. Let v = -0.39 - n. Which is the closest to v? (a) -3\/13 (b) k (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3535 divided by 101\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -179023746 rounded to the nearest 10000?\nAnswer: -179020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2299) + 0)*1 + 4 + 1 + 1*sqrt(2299))**2.\nAnswer: -440*sqrt(19) + 36809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0.1 (c) 0 (d) -19 (e) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18378 + -36725\/2. Let n(d) be the first derivative of -25*d + 26 + x*d**2. Find the first derivative of n(u) wrt u.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5273 or -3396?\nAnswer: -3396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7849 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133166 is divided by 62.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**3 - 4*q**2 + 17*q - 25. Give k(2).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 986142992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, -3, -6, 2 in increasing order.\nAnswer: -11, -6, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33694 or 0.2?\nAnswer: 33694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -623412 = -85*t - 95052. List the prime factors of t.\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmxmjssssyxt. What is prob of sequence syt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1012639260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 2*l - 2*w + 4, -4*w = -l - 34. What are the prime factors of 1348*(-55)\/l*(-2)\/(-4)?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 563048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/112)\/(-1)*-6*1\/9\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 403*u**2 + 53*u**2 + 158*u**2 to the form z*u + y*u**2 + m and give y.\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/6 - 6\/(-9). Suppose 2*x - 8 = q*x. Let v be (0 - -2) + 0 - x. Which is the third biggest value? (a) 2 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/7 of a week in hours?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3)*(178\/(-2) + -1). Let q = i - -125. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58022 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-26964)\/5292 - (520\/(-168) - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15*(6 + (-440)\/75). Let x(n) be the first derivative of -5*n - 3\/2*n**t - 2. What is the derivative of x(y) wrt y?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 8. Let j be a(-6). Suppose -y - 4*y = -j. Suppose 3 = p, -4*i = i + y*p - 16. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**2 - 5*l + 15. Let w(s) = -2*s**2 - 2*s + 7. Let c = 7 + -4. Let h(g) = c*o(g) - 7*w(g). Calculate h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0, 0.2, -339, -3\/5, -6 in ascending order.\nAnswer: -339, -6, -3\/5, 0, 0.2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:03 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 + 11988338*w\/5 - 35930062000561\/5.\nAnswer: -(w - 5994169)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 4*t - 3*y, -2*t - 5*y + 0 = -11. Let s be t\/2 - -3 - (-391)\/(-2). Let p = -62 - s. Round p to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 5*z + 1. Suppose -115 = -175*i + 235. What is a(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.3 - 52.7. Let o = b + 56.0009. What is o rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**3 + 7*a**2 - 174*a - 795. Give f(-6).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 0, -198 = -3*a + 5*q - 3*q. Find the common denominator of 2\/(-8) - a\/(-20) and (-20)\/25*29\/(-16).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = 5*g, -9 = -g + 4*h - 4. Solve k + 3 + g = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:39 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0 + 1\/24*q**4 + 11\/6*q**3 + 29*q**2 - q. Let p be 235\/(-20) - (-3)\/4. Calculate r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 - 14 = 5*m, 5*m = 0. Let t(n) = -615193*n**2 - 28*n - 1. Let s be t(v). Let u = 5172129 + s. What is u rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Let g = 9 - u. Suppose -5*v + 5*q = -45, g*q + 2 - 9 = v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 508, 3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1438 + -1438. What is the nearest to 11\/7 in 3, -0.4, 5, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-530)\/20 - 18\/12. Let v be ((-1)\/(-2))\/(77\/c). What is the second smallest value in 7, 0.4, v, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1366 + -528. Let b = a - 359. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/10*1\/3*19345\/3869.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3098 and -318.\nAnswer: 985164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**2 + 7*z + 2. Let l(t) be the third derivative of t**5\/20 - t**4\/4 - t**3\/3 - 148*t**2. Determine 5*l(v) + 4*m(v).\nAnswer: 3*v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/6)\/((-330)\/(-22)))\/((-224)\/(-700)).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 8) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, 28, 161, 422, 853, 1496?\n\"Answer: 7*w**3 + w**2 - 5*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.94 (c) 5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 4*p**2 - p + 12. What is z(5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = 33. Is t less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 33*g - 28. Let r(s) = -8*s + 7. Let w(o) = -2*c(o) - 9*r(o). What are the prime factors of w(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**4 + 4338*u**3 - 52425*u**2 + 92148*u + 428652 = 0. Calculate u.\nAnswer: -1458, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50, 17, -52, -169, -346, -595?\n\"Answer: -2*c**3 - 6*c**2 - c + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1591 and -0.119521 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.7 + 0.3. Let i = j + -9.4. Sort 4, 2, i in descending order.\nAnswer: 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180246082 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -360 - -364. Suppose 5*h - 733 = 3*u, 5*u + 111 = -f*h + 727. Calculate the remainder when h is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - -23.43. Let b = 72.4 - l. Let w = -61 + b. Round w to 0 dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 (base 13) in base 16?\nAnswer: 11f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14621 is divided by 1210?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3\/9 + 22*j**2\/9 + 736*j\/9 + 384 = 0.\nAnswer: -8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.67 + -0.33. Let h = -308612570 + 308612598.0000066. Let z = h + j. What is z rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 256165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 135*l - 201. Let n(k) = 135*k - 194. Let d(f) = 5*n(f) - 4*y(f). What is the derivative of d(q) wrt q?\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73\/5 in -135, -6, 3, 2.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179836 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: Calculate the smallest common multiple of 113410 and 20620.\nAnswer: 226820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 1676*d - 1688*d - 1144, 4*d = -5*c - 400 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5181 + -0.0181. What is the fifth biggest value in -16, r, 0.3, 3, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -12. Which is the second smallest value? (a) 1 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 20 = -17*o + 15*o, 0*o - 70 = -4*o - 5*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 47632*g + 0 - 3*g**2 + 2*g**2 - 47*g**3 + 47634*g to the form w*g + z*g**2 + o*g**3 + c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 6 in descending order.\nAnswer: 8, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 717682491 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3972*o**2 + 2836*o**4 + 3970*o**2 - 7941*o**2 + 2*o as c + h*o**4 + k*o**3 + z*o**2 + t*o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -24. Let a = 11 + m. Let g(x) = x**2 + 4*x. Give g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17868 divided by 4467\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20011 and 0.5.\nAnswer: 20011.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeueeeeeee. Give prob of sequence eeue.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209 - -216. Let u = -0.3 + 1.3. What is the third smallest value in i, -2\/3, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 q when four letters picked without replacement from {q: 9, u: 11}?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {j: 5, y: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 3072.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Suppose x = t - 4*t. Suppose 4*h - 5*y + 9599995 = 0, 2*h = -t*h + 4*y - 4799996. What is h rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -11, -7 in decreasing order.\nAnswer: 11, 1, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 31206000 to the nearest one hundred thousand.\nAnswer: 31200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z - 24. Let o(t) = -3*t - 6. Let y(s) = 9*o(s) - 2*r(s). Let f be y(-5). Let k = -1.8 - -2.1. Which is the closest to k? (a) -0.3 (b) f (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*u - 11 = 9, -s - 2*u = 6. Let a(j) = j**3 - 6*j**2 + 6*j + 3. Let d be a(4). Sort s, 5, d.\nAnswer: d, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53112 - 845112 = 6*k. Round k to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgssvsgsoosgonvgog. Give prob of sequence oon.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -144*4*(-4)\/(-32). Let g = -59 - f. What is the highest common divisor of g and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 95 = -70. Suppose a*h = 160*h + 2295. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2890.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 1. Let c(j) = 0*j**2 - 4*j - 7 - 8*j + j**2 + 20. Let w be c(11). Let g be m(w). Sort g, -3, -1 in decreasing order.\nAnswer: -1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*y - 5658*y + 56441 = -314*y + 166397 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 2*y**4 - 3*y**2)*((-4 - 2 + 5)*(1 + 3 - 5) - 3 + 4 + 0 - 5 + 0 + 3 + (0 + 3 + 4 + (-5 + 4 - 7)*(-2 + 2 + 1) + 0 - 1 - 1)*(1 + 4 - 4)).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-12)*32\/104. Which is the nearest to 2\/3? (a) 0.5 (b) -2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4224 = 40*a - 4*f + 5412, 3*a + 99 = -3*f for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, c: 1, n: 1, q: 3, s: 12, t: 2}. What is prob of sequence qvtc?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*f - 25*f - 175*f.\nAnswer: -434*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59857471?\nAnswer: 599, 99929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, c: 3}. What is prob of picking 1 c and 1 h?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**15*p)\/p**4)**(-9\/4)*((p*p**0)\/p)**(1\/3)\/(p**(-1\/2)\/p)**38 assuming p is positive.\nAnswer: p**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6768 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101 - 92 - ((-8 - (-6 - -2)) + 11)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3731090 and 4104199.\nAnswer: 41041990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75070961\/195 - -384975. Let u = 62\/15 + q. What is the third smallest value in 80, 1, u?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(15)\/sqrt(3)*1)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2 - 163*f + 9. Determine u(-41).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 1380*p**2 + 164076*p + 1225824.\nAnswer: 3*(p + 8)*(p + 226)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4043c5 (base 15) to base 3.\nAnswer: -12202001100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/402 or 0?\nAnswer: -1\/402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16*-6)\/(300\/6800).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 4*y**2 - y**2)*(-62*y**2 + 139 + 21*y - 22 - 115).\nAnswer: 62*y**4 - 21*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - 37*z**2\/3 + 13616*z\/3 + 27604.\nAnswer: -(z - 103)*(z + 6)*(z + 134)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h**3 + 5*h**2 - 12*h - 14. Let t be v(-8). Suppose 4*o - t = -1370. Let c = o + -615. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/((-15)\/7460) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -1369\/22?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**5*o + 55*a**3*o + 390*a**3 - 5*a**2*o - 28312*a*o + 7 wrt a?\nAnswer: 60*a**2*o + 330*o + 2340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (62 - (-41 + 47))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:47 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 a, and 1 r when three letters picked without replacement from bbaabbbyavbyrrzbrarb?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1289, -388 in ascending order.\nAnswer: -388, -6, 1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 64731.32nm in micrometers?\nAnswer: 64.73132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + 3*(sqrt(832) + 0))**2 + (sqrt(832)*1*-1)**2)*-2 - (-5 + ((sqrt(13) + (3*sqrt(13))**2)*-4 - sqrt(26)\/sqrt(2)*3)).\nAnswer: -27815 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823 is divided by 402?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, 126, 243, 342, 417?\n\"Answer: -q**3 + 136*q - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -30*j + 401. Let y(u) = 50*u - 658. Let s(f) = 12*k(f) + 7*y(f). Calculate s(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4186 - 4227. Let x be -1 - (39 + 0 + 1). Is x smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - 3*r + 4*r)*(0 + 4 - 1)*(-4 - 5 + 0) to p*r + f and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 19. Let r(i) = -4*i + 14. Calculate the remainder when r(s) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 29 = 7*d - 2*x, x = d - 20. Suppose -d*v + 26*v = 13587. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, p: 7, f: 5}. Give prob of sequence pf.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/5)\/((897\/6)\/13 + -10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {h: 1, g: 1, y: 1, e: 5, t: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028068 - -4?\nAnswer: 3.971932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/28)\/(-4*12\/(-32))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/20324 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.5 - 0.5. Let x = -0.12 - 12.88. Let i = x + q. What is the second smallest value in i, 3, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/7 (b) 1 (c) -4438\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 565318 by -32.\nAnswer: -282659\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 35 = 29. Let n = 26 + d. Let c = 47 - n. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.1 (b) 0.14 (c) 2\/1087\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -61735097 and -61735097 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 25481 in ascending order.\nAnswer: -1, 2, 25481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -c - 0 + 5, -5 = -3*g - c. Suppose g*q = q - 22. What is the smallest common multiple of q and (2\/5)\/((-7)\/490*-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -25 + 2 + 83 + 14217 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*c - 2*c + 372, 3*w - c - 562 = 0. Let h(l) = 2*l**2 + 47*l - 22. Let z be h(-24). Factor -d + 3*d**3 + 184*d**2 + 3*d**4 - w*d**z - 2*d.\nAnswer: 3*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*n = -q - 35, -2*n = 10. Let t(i) = -i**3 + 5*i**2 + 3*i + 7. What are the prime factors of t(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2 - 2607*u + 28314 = 0.\nAnswer: 11, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 21 - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 1650.2, 1, -4, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/34 - (-594)\/153. Let t(m) be the first derivative of 0*m**3 + 1\/6*m**i + 1 + 0*m - 1\/3*m**2. Solve t(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.2, -3\/4, -5, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w**2 - 75*w + 172. Calculate j(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 19*q**2 + 2*q**3 + 9 + 1378*q - 680*q - 675*q. Let u be n(-8). Let j = -1.6 - -2. What is the closest to -1 in 2, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(5\/3)*c**(4\/5) assuming c is positive.\nAnswer: c**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28819993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1499, 2\/3, -18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.82 + -8.82. Let f = 6.6 - 6. Let d = f + -0.3. Which is the nearest to v? (a) -1\/5 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*s + 504 = 0, 598 = 5*g - 2*s - 60. Let w = -44 + g. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/748 - -14\/187. Let a = -1\/4 + y. Put -5, 0.5, -0.4, a in increasing order.\nAnswer: -5, -0.4, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -2\/7, -0.1, 2\/5, -388.445, -3\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 14 = -q, 4*q + 30 - 50 = 3*s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2229 - 155*g**4 - 2229 + (0*g**2 + 0*g**2 - g**2)*(2 + g**2 - 2) + 4*g**4 + 2*g**4 - 3*g**4.\nAnswer: -153*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 40. Let w = d - 14. Find the third derivative of 6*l**2 + 3*l**w - 3*l**2 + l**2 wrt l.\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/(-90))\/(24\/20)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) - 55\/4. Let m = t + 23. What is the remainder when m is divided by 3\/(-2)*(-20)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 82 = 4*q, 0 = -2*q - o - o + 32. Suppose 0 = -3*f + q + 14. Let r(p) = -83*p - 4886. Let k be r(-59). Is f not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-2)*8\/(-6). Suppose r + 4 + 6 = -3*j, -v*r + 5*j = -45. Suppose r*m + 33 = 8*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 315572 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o\/(o*o**(-5)))\/o))\/(o*o\/o**31) assuming o is positive.\nAnswer: o**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51\/17*(-1144)\/26598.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-2\/3))**(-5))**18)**17 assuming c is positive.\nAnswer: c**(-2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11352 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(280))\/sqrt(8) - 1*sqrt(3500))\/(-2*2*sqrt(180)*-5).\nAnswer: -3*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 8:11 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1214 + 853. Let l = -250 - s. What are the prime factors of l?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r + 6. Let u(l) = -3*l - 7. Let z be 1 + 2 - (16 - 6). What is z*t(o) - 6*u(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -0.1 (b) -3523 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**2 - 3*p**2 - 2*p + 8*p**2. Let n(a) = -4*a**2 - 5*a. Let u(v) = v**3 + 10*v**2 + 6*v - 22. Let r be u(-9). Calculate r*h(f) - 2*n(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 132*k - 124*k + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 225600394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/(4\/52*-1).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 89. Let w = -172\/3 - -58. What is the closest to 0 in w, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.1 - 31.024. Round i to one dp.\nAnswer: -12.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0*o**2 - o**2 + 3*o**2. Let a(r) = 2*r + 5. Let s(f) = f + 4. Let x(p) = 4*a(p) - 5*s(p). Calculate m(x(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*d - 4*c, 4*d + 3*c - 4 = 2*c. Suppose -a + 16 = b, -2*a + 4*b + 0*b + 32 = d. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8f - 14?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9183, -9185, -9185, -9183, -9179?\nAnswer: -9173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d - 3*c = -12, -4*d = -2*c - 28. Let z = -28 - -51. Suppose -3*a = -z - 10. Calculate the remainder when a is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*u - 34697421 - 9328329 = -4496224. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w. Let n = -2819 + 2821. Let q(l) = 4*l. What is n*c(r) - 7*q(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208.9683 micrograms to tonnes.\nAnswer: 0.0000000002089683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3789?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -53*i**2\/2 + 14*i + 30. Let r be d(-2). Suppose 27*s - 29*s + r = 0. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 81 - 332b?\nAnswer: -326a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (217\/434)\/((-1*4)\/(-40))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7418668.\nAnswer: 2, 47, 39461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.144385 rounded to one dp?\nAnswer: -39.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -655, -1323, -2005, -2707, -3435, -4195, -4993, -5835?\nAnswer: -6727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, v: 6, n: 1, b: 4}. Give prob of picking 3 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 3:14 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdvxv. Give prob of sequence vqv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -587.3 + 584.1193. Round r to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -4. What is the units digit of 12 + (0\/y - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 8*g - 7. Let b be -2*30\/(-8)*4\/(-5). Let a be n(b). Solve -a*w = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -c + 3*v - 12, -32 = -4*c - 4*v. Let n be c - (-2)\/(-6)*3. Suppose n*l = 7 + 15. What is the remainder when l is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o**(-1\/2)\/o)\/o)\/o)\/o)**23\/((o**1\/o)\/o)**(-1\/27) assuming o is positive.\nAnswer: o**(-4349\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2200005 - -0.22. What is d rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 9*y - 10. Suppose 10*g = 9*g + 3. Suppose 5*h - 2 = -g*s + 10, -s - 3*h = 0. What is r(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 243 + -242.5. Put 3, 1, 5, m in decreasing order.\nAnswer: 5, 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 288271*h**2*o**2 - 2*h*o**2 + 22*o**2 + 4290*o - 1 wrt h.\nAnswer: 576542*h*o**2 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 182*n - 241. Let q(i) = 91*i - 131. Calculate 6*d(b) - 11*q(b).\nAnswer: 91*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 67*k - 122. Let x be c(24). Sort -3.3, -1, x, 1 in descending order.\nAnswer: 1, -1, x, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -622, -617, -600, -565, -506, -417?\n\"Answer: v**3 - 2*v - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/23)\/a**23 assuming a is positive.\nAnswer: a**(-526\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -102.09 times -0.4\nAnswer: 40.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.012 (c) -2.4 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 355132 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/20)\/(k**(3\/2)\/k)*(k*k**4*k*k*k)**0 assuming k is positive.\nAnswer: k**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*l*v**2*y - 34*k*l*y + 3*k*v**3*y - 3*k + 21*l*v**3 + 874*v**3 wrt l?\nAnswer: k*v**2*y - 34*k*y + 21*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 3*l**2 + l**2)*(-3*l - 4*l + 5*l) + (2 + 1 - 5)*(4*l + 0*l - 6*l)*(l**2 - l**2 + l**2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*n**2)*(2*n - 2*n - 2*n**3) + (0*n + 0*n + 5*n**2)*(-3*n**3 - n**3 + 5*n**3) - 22*n**5 - 2*n**5 - 2*n**5.\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30181*c**5 + 1947*c**2 - 17*c wrt c?\nAnswer: -1810860*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = -4*u + 180, u - 5*f - 45 = 0. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*z + 1960*z**3 - 2 + 2 - 1962*z**3 + 44*z**2.\nAnswer: -2*z*(z - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r. Let b(p) be the third derivative of p**5\/60 - p**4\/24 + 5*p**3\/3 - p**2. Let h be b(r). What is the highest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 26*x - 7*x - 20*x + 0 - 4. Let n(p) = 20*p. Give l(n(t)).\nAnswer: -20*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*s**2 + 221*s wrt s.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 4532?\nAnswer: 31724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*n + 14 = 0, -2*w + 0*n + 5*n = -25. Suppose 347*p = 389*p. Let i(o) = -o**2 - 5*o + 1. Let m be i(-5). Sort m, p, w.\nAnswer: p, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17427 + 60122. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 5*d**3 + 3*d**3 + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-21\/8)*x**(-6)\/x**(-6) assuming x is positive.\nAnswer: x**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let r be 174\/45 + ((-48)\/(-45))\/8. Let m(i) = r*i + 261 + 0*i - 261. What is m(n(s))?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 28 = 2*r. Calculate the remainder when 81 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 11*p**2 + 1. Let x = 21 + -10. Let b be i(x). Let q(d) = 2*d**3 + 2*d**2 - d. Calculate q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-6))\/r)\/((r*r**(-2))\/r))\/(r*r\/((r\/(r*r**(-1)))\/r))**(-1\/9) assuming r is positive.\nAnswer: r**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 745 (b) -6 (c) 2\/15 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25957 is divided by 295.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) 0.5 (c) -4\/7 (d) 8 (e) -55\/107 (f) -0.3 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 397*h**2 + 23*h - 152. Let c be a(32). Suppose -33*d + 61389 = -c. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 84142, 3.\nAnswer: -3\/2, 3, 84142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 62329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-79)\/(-4) - (-2)\/8. Suppose -c = -3*h - h. Suppose -h*f + 135 = -40. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from {v: 4, s: 2, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:29 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.405 - -1.365. Round f to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.129 * 70.09.\nAnswer: 9.04161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -593 + 593 + 6*y**2 + 5*y**4 wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9120 and -1.1.\nAnswer: -10032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + b + 3*b = -212, 137*y = 140*y + 2*b + 101 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -258 + 324. What is the smallest common multiple of 114 and u?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3*o + 5770*h**3 + h**2*o - h**2 + 155*h*o - 24*h wrt h?\nAnswer: -6*h*o + 34620*h + 2*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160337 divided by 1.\nAnswer: 160337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3, 1.031, 6, -40, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129116.\nAnswer: 2, 389, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(-52) + -1 + (90\/24)\/15.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 1:43 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 866 - 1623. Let w = 683.4 + r. What is w rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 1:23 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + p. Let o(a) = 14*a**2 - 8*a. Let g(v) = 5*v**2 - 3*v. Let l(m) = -8*g(m) + 3*o(m). Let b(z) = -2*h(z) - 2*l(z). Factor b(d).\nAnswer: -2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 2*g**2 - 3*g - 3. Let s be o(-2). Let z = 27 - s. Let p be z*1 + (-2 - -2). What is the highest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4\/13))**(2\/43)*n**(3\/5)\/(n\/((n*n*n*n*n\/n**(-22))\/n)))**(-3\/4) assuming n is positive.\nAnswer: n**(-107463\/5590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (296\/(-21))\/1 + (-190)\/(-1995)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10\/(-15))\/((-4)\/186).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 3*p**2 + 3*p + 2. Calculate v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -647*s**6\/6 + 3*s**4\/4 + 6*s**3 + 22*s**2 - 3824. Find the third derivative of c(h) wrt h.\nAnswer: -38820*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 5*j + 325. Solve -d + j = 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - h + 4 - 3)*(-3*h + 4*h + h) - 2*h**2 - 2*h**2 + 2*h**2 + (-31*h**2 + 27*h**2 + 33*h**2)*(-1 - 1 + 1) in the form w + y*h**2 + g*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1141024*s - 4564037. Calculate x(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 451.0708 millennia?\nAnswer: 45107.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 517.08 - 517. What is the nearest to -0.08 in 4, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1302, -1299, -1298, -1299, -1302, -1307, -1314?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + g**2 + 2*g**2)*(2647*g**2 - 573*g + 572*g - 326 + 328) as o*g**4 + z*g**2 + q + h*g**3 + l*g and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 62 - 78)*(2 - 2 - 2*h).\nAnswer: 166*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -67184.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*f**2 + 6)*(-2 + f + 2) + (3 - 5 - 1)*(-224 + 224 + 25*f**3).\nAnswer: -70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l + 4*i, l - i + 10 = -2*i. Let d = 4 + l. Let v = -3 + d. Sort 0.03, 4, v in ascending order.\nAnswer: v, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. Suppose -q*o = -2*v + 106, -5*v + 292 = -0*v + o. Let a = -230 + 242. What is the remainder when v is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 748.592 + -749. Let h = d + -2.592. What is the nearest to h in -0.01, 5, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**14*u**(2\/71) assuming u is positive.\nAnswer: u**(996\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**2 + 581*v - 89?\nAnswer: 6*v + 581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f*f**(5\/3)\/f)\/f)*f)\/f**(1\/11))\/(f**4*f**(-3\/2)) assuming f is positive.\nAnswer: f**(-17\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 = -31*h - 592 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10270239*b**4 + 2*b**2 + 20*b + 243936 wrt b?\nAnswer: 246485736*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 81\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16225167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/14 and -111\/26440?\nAnswer: 185080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.2, 22, 1.75 in ascending order.\nAnswer: -5, -0.2, 1.75, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25174245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102646*f - 30 = -102650*f + 3*o, -4*o - 24 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 110?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 42*z**2. Let t(g) = -159*g. Determine b(t(f)).\nAnswer: 1061802*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 0.5862?\nAnswer: 0.1862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 14. Let n(s) = -3*s + 13. Let v(q) = -7*n(q) - 6*r(q). Let z be v(3). Solve 3*j + 13 + z = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {q: 2, g: 5, z: 2, w: 1, l: 2, m: 2}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323, 645, 967, 1289?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12088300 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28570*j**5 + 28663*j**5 - 154*j - 1133*j wrt j.\nAnswer: 1860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - k**5 - 2*k**5 - 3*k**5 + 5*k**5 - 4*k**5 + (2*k**5 - 2*k**2 + 2*k**2)*(-4 + 2 + 4) - k**3 - k**5 + k**3.\nAnswer: -k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 9:52 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 56702.59323 to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 1647*x**3 - 5107*x**2\/2 + 3917. What is the second derivative of l(i) wrt i?\nAnswer: 9882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0722033 minus 82604?\nAnswer: -82603.9277967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 257, 317, 363, 389, 389, 357, 287?\n\"Answer: -r**3 - r**2 + 70*r + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p. Let r be o(-2). Is ((-12)\/4)\/(-3) + r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3111 + 3147. What is the remainder when 174 is divided by v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6792 is divided by 6781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 42?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 523 + -519. Sort i, 10, 0.2, -5 in descending order.\nAnswer: 10, i, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412951 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730652?\nAnswer: 2, 13, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**2 + 30 - 30.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*a - 6 = 0, -8 = -5*h - 4*a + 20. Suppose h*x - 14 = 5*v + 4, -3*x = v - 4. Put -0.5, -0.3, x in descending order.\nAnswer: x, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**5\/2 - 3*f**4\/2 + 27*f**3\/2 + 39*f**2\/2 - 12*f - 18 = 0 for f.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/3)\/(3\/(-2)). Let i be ((-6)\/4)\/(t\/8). Solve -i*n - 15 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 6*r - 3. Let a be -3 - 1\/(2\/(-8)). Let k = a + -6. What is the remainder when 65 is divided by p(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/((-8)\/5312) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -416 - -454. Put -2\/11, h, -4, 0 in decreasing order.\nAnswer: h, 0, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 - 13*s + 8. Is w(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 27)*(3*o**3 + 10*o**2 - 10*o**2 + (-o**2 - o**2 + 4*o**2)*(2 - 2 + 2*o)).\nAnswer: -189*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 0.1, -0.04, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*t - 1 = -4*t, -4*t = -d + 11. Let p = d - -2. Let i = 11609 + -11600. Calculate the remainder when i is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-2)\/(-12)*36. Differentiate -12 - 2*x**2 - 4 + w*x**2 + 9*x**2 with respect to x.\nAnswer: 38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 683?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 1, w: 2, h: 1, p: 1, l: 1}. Give prob of sequence up.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 2, r: 4, y: 3, j: 6}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 127061250 a multiple of 3279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 - 2678*p**4 + 9*p**2 - 14*p + 19 wrt p.\nAnswer: -60*p**2 - 64272*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(8\/3)*(c*c\/(c**(-25)*c*c))\/c assuming c is positive.\nAnswer: c**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 4. Let f be h(-7). Let o(d) = -2*d - 3 + 4*d + f*d. Let m(a) = -4*a + 3. Let s(c) = -3*m(c) - 2*o(c). Differentiate s(t) with respect to t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 467 - 169. Is l a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 116, -1.\nAnswer: -2, -1, 3, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53896076 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5291 - 5280. Solve 0 = 3*i + 5*y - 1, 5*i + 9*y = l*y + 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3 - 27 = -3*a, -5*a - 5*i = -40. Solve -a*n = -7*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9993049ug to kilograms.\nAnswer: 0.0000000009993049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254869 is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 8 + 3)*(p - 8*p + p) + 6*p - 4*p - 1 + 5*p.\nAnswer: 49*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-124)\/(-312) - 2\/4. Let o(s) = 7*s - 21. Let c be o(3). Suppose c = -x - 5*k - 20, -3*k - 20 = -4*x + 2*k. Which is greater: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73202 is divided by 8120.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704023323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -l + 38, -l = l - 3*i - 73. What is the biggest value in -8, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54933, 54944, 54969, 55014, 55085, 55188, 55329, 55514?\nAnswer: 55749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6 + 3. Suppose 0 = 5*p - 2*h - 7 + 4, -5*h + 10 = 5*p. Solve f = k - p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 32 = 2. Suppose -5*m - 580 = -3*n, -r*n - 3*m = -3*n + 200. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 20.1. Let k = 1.2 - r. Let h = -0.9 - 0.1. What is the closest to h in 0.2, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*b**3 - 32*b + b - 12*b - 9570*b**3.\nAnswer: -9322*b**3 - 43*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4985 - 11081?\nAnswer: -15a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3054\/5 - 613. Let c = -899\/1398 - 11\/466. Put -2\/5, k, c in ascending order.\nAnswer: k, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113589 + -472681.86?\nAnswer: 640907.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194 - 87. What is the remainder when w is divided by 41?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4598292.\nAnswer: 2, 3, 31, 47, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**3 + 1. Let g(i) = -2 + 29*i - 6*i + 2 - 20*i. Give u(g(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*p + 6*p**2 + 4 - 13*p wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-2*n**3 + n**3 - n**3) + 32*n**3 - 13*n**3 - 15*n**3 + 0*n**3 - 4*n**3 + n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.3, 0.1, 12\/71?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 276634.26 months in decades?\nAnswer: 2305.2855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*t - 2*a + 3105, 0 = a. What is the remainder when 89 is divided by (1 + (-12)\/10)\/(27\/t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1311 - -12013201233?\nAnswer: 12013203210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 10:41 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38726 - 38726. Which is the nearest to g? (a) -1 (b) -9 (c) 4\/13 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/(-20))\/(2*3\/1140))\/(-460 + 462)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 2*j + 3. Let b(k) = -825*k**2 + 42*k + 63. Let w(s) = -b(s) + 21*m(s). Let i(r) = -4*r**2. Calculate w(i(t)).\nAnswer: 13536*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (914 - 279 - 321 - 23391*i - 314)*(1 - 1 - 2).\nAnswer: 46782*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 - 75571*f**3 + 2*f**2 - 2 + 75651*f**3 in the form j*f**3 + d*f**2 + p*f + k and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 4, t: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 104, 102, 98, 92, 84?\n\"Answer: -g**2 + g + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137196165 divided by 5.\nAnswer: -27439233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -15, -5 in decreasing order.\nAnswer: 21, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -455*c**3 + c**2 + 4*c + 5. Let b be s(-1). Let l = -103 + b. Does 59 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + (sqrt(33)*1)\/sqrt(11)) + -5.\nAnswer: 5*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = 2*i, 3*i + 25 = 5*q - 5. Solve 5*w - 5 = 5*g, 0 = 2*g - 4*w - 1 + q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**6\/24 - 5*g**4\/24 + g**3\/6 - 9*g**2 - 8. Let y(m) = m. Determine s(x) + 3*y(x).\nAnswer: 5*x**3 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 17*h - 22. Determine j(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -3\/4, -2.8, 1\/4, -5?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5580210409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 10 = -b + 2*w, -w + 2 = 5*b. Sort b, -5, -8.\nAnswer: -8, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**5\/60 + 7*c**4\/24 - 42*c**2. Let j be -1 - 5\/((-5)\/6). What is v(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-980)\/(-14)*-1)\/(3*-2)*(-27)\/(-15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 5*t - 3*t)*(4 + 1 - 3) - 14 + 20 - 6 + 247*t.\nAnswer: 243*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 - -219. Let b = -142 + y. Let t = 91 + b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 116463.\nAnswer: 116458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06908 - 0.068. Round t to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1086727, -1086729, -1086731, -1086733, -1086735, -1086737?\n\"Answer: -2*f - 1086725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2247 less than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1133 - -798. Let h = -321.1 - i. Round h to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-156) + 24\/(-494). Let h = 0.0547 - 3.0547. Let w = -89 - -353\/4. Which is the closest to r? (a) -0.4 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -4, -1, 2\/5, 43?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyjyny. Give prob of sequence nj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142660175 by -9401.\nAnswer: -15175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/384 and -19\/316248?\nAnswer: 5059968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -1594, -0.4 in increasing order.\nAnswer: -1594, -0.4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1875 - 1880. Which is the nearest to -2\/7? (a) o (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 2, 4046\/41, 4, -5\/51?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 4*h**2 + 2*h - 2. Let x be n(3). Let u = -4 - x. Let q(o) = -o**2 + 9*o - 7. Let t be q(6). Solve -4*m - t = u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a2456 (base 13) in base 10?\nAnswer: 290751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1074 = 3*p + 978. What is the remainder when (p\/(-16))\/(-9)*-8 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 2*q + 0*q)*(-3*q - 2*q + 6*q)*(5472 - 5472 - 351*q) + (2*q**2 - 3 + 3)*(1 - 1 - q) as h*q**2 + j*q + u*q**3 + s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = c - 15. Let p = -57 + 46. Let u = c - p. What is the least common multiple of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 1080.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3488.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/93962 and 137\/25626.\nAnswer: 281886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 132 = 5*v. Suppose 0 = 3*s - 9, w + 3*w = -5*s + 15. Suppose -8*a + v*a = w. Solve 4*u + 5 - 1 = a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + 252. List the prime factors of q.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5856 at most as big as -4481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*b = 10, 3*b = -0*t - t + 4. Let i(d) be the second derivative of 0 - t*d - 7\/6*d**3 + 0*d**2 - d**4. Find the second derivative of i(w) wrt w.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122562*h*o**3*v**3 + 61316*h*o**3*v**2 - 2*h*o*v**2 - 8*h*v**3 - o**3 + 2*o - v**2 wrt v.\nAnswer: 735372*h*o**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/186388?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 170773571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -125*u + 441. Calculate the smallest common multiple of q(0) and 28.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 - 58. Suppose 5*x - z = 5*p + 223, 86 = x + 3*p. 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 the value of 320\/48*63\/35*(-5)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9653\/32513 - -16\/793. Let m = g + -995\/164. What is the common denominator of m and -27\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4, -i + 20 = 3*f - 5*f. Solve i*q - 117 = -85 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -524103360 by 595572.\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -2*l**5\/5 - l**4\/4 + 3*l**3\/2 - l**2 - l. Let b be n(7). Round b to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331181 and 1340.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**6\/720 - 33*q**2 + 38. Let x(t) be the second derivative of n(t). Let x(j) = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 45 = -19*x. Let p(d) be the third derivative of 0*d - 2*d**2 + 0*d**4 + 0 + 0*d**3 + 1\/20*d**x. Let u(o) = -3*o. Give u(p(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -83461116, -83461115, -83461114?\n\"Answer: z - 83461117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 19942443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 5. Let y be -5 - (-2)\/(1 + -3). Let s(o) = -o**2 - 4. Suppose 0 = 3*q - 5 - 4. Suppose -5 = 2*g - q*g. Determine g*f(v) + y*s(v).\nAnswer: v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*s + 96*s = 168 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 12*h + 52. What is the second derivative of -184 + 229 - h*z + 4*z + 47*z**2 wrt z?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {g: 12, l: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-15)\/(-1365)*13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 54 + -8 + -2 - -31.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8861 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/12 + 2527*p\/12 = 0. What is p?\nAnswer: -2527, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26.3 times 2.5202\nAnswer: 66.28126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 2*k**2 + 5*k + 4. Let g be h(-2). Let p = g + -9. Let b(f) = -f - 1. Let a(r) = 7*r + 6. Give p*a(l) + 6*b(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -39*h + 44*h - 5*o, 2*h = -2*o + 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2077 and 13.6?\nAnswer: -28247.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 121 - (1 + 33\/(-6))*(-72)\/(-108). Solve j*t = 114*t - 40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a = 0. Suppose a = x - 5*x + 1324. Let w = x - 122. What is the greatest common divisor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3 = 9, 2*p + 4 = -2*o. Suppose -3*g - 1 = p. Let t be 9\/7*1 + g. Which is bigger: t or -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3 - (-224)\/24. Let i = -8 + x. Let r(t) = -t**2 + 4*t - 3. Let a be r(2). Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1270\/9 - 245095\/1737. Let p = -22997\/3474 + l. Calculate the common denominator of p and -9\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 4*f - f)*(-195 + 8 - 126) to k + n*f and give n.\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16168299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 818b (base 16) in base 6?\nAnswer: 413311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/145)\/((-2)\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1585, 3169, 4753, 6337?\n\"Answer: 1584*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 + 1193394?\nAnswer: 1193392.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 31*p - 138. Let z be h(-18). Does 12 divide ((-1)\/(-2) - 2)\/(3\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1737978 + -7?\nAnswer: 1737971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40934928?\nAnswer: 2, 3, 113, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = h + 20. Suppose h*i = 4*y + 3479992, 4*i + 2*y = 5*i - 869996. Round i to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -359.6 - -362. Is w smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 3145883?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 700, 1563, 2762, 4297, 6168?\nAnswer: 8375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -1 + 1 + (-2 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + x)*(x + x**2 - x) + (-x**2 - x**2 + 0*x**2)*(-3*x + 3*x - x) - 4*x**3 + 8*x**3 + 4*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q = -38*q - 1501. What is the common denominator of -59\/49 and 40\/(-14)*79\/q?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 5*d - 5. Let o be b(4). What is the remainder when (-327)\/(-15) - o\/5 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 4. Let s(d) = 2. Let z(v) = -2*c(v) + 5*s(v). List the prime factors of z(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -691 + 701. Is 295\/34 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) + (-25)\/4. Let c = z - -11. Solve c*g - 1 + 6 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1119 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.027\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1308 divide 3280759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 32, -0.43, -0.2, 2.\nAnswer: -5, -0.43, -0.2, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 1:19 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 20 = -6*d + 2*u, 0 = d + u - 32. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 10*z**2 - 12*z - 25. Let j = -88 - -78. Let b be l(j). Suppose 8*h - 3*h + b = 2*m, -2*m = h - 89. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 440 + -389. Calculate the smallest common multiple of 7 and n.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 93 + 33 = 0. Factor 24 + 4*l**3 + 51*l**2 - 84*l + i*l**2 - 19*l**3.\nAnswer: -3*(l - 2)**2*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1741100 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -835660 to the nearest ten thousand.\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 74*o - 5 + 6*o + 5.\nAnswer: 77*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113236 (base 7) to base 4.\nAnswer: 10332022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**3\/2 + 2*h + 28. Let s(n) = 43*n**2. Give p(s(f)).\nAnswer: 129*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/15*2*(-990)\/1584.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49 - 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 12:36 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/15)*u**13)\/(u**(-5))**(1\/5) assuming u is positive.\nAnswer: u**(223\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w + 7*w**2 - 1\/120*w**6 - 5\/24*w**4 - 1\/6*w**3 + 7\/30*w**5 + 0. List the prime factors of g(13).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-15)*(-4)\/(-6). Let f = 4 + -6. Let u be f\/(-16) - (-1 - -1). Sort 3\/4, y, u in increasing order.\nAnswer: y, u, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, t: 2}. Give prob of picking 2 w and 2 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1 - -42) + (-10 + -26 - -31)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 316070 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12138387?\nAnswer: 3, 4046129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8324 - 8354. Sort 1, -14, n, -4.\nAnswer: n, -14, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 3*i = 6*s + 3*s + 91, 5*i = -165 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**3\/12 + 19*j**2\/8 - 12*j + 3863. Factor a(s).\nAnswer: -(s - 16)*(s - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.7 + 18.67. Let z = -1.03 - t. Let h = 1.2 + -0.2. What is the closest to h in -0.5, z, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**6\/90 - m**5\/10 - 11*m**3 - 42*m. Let z(q) be the second derivative of c(q). Factor z(w).\nAnswer: -4*w*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Suppose -1 = -t*o + 5. Solve o = -2*d - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -14. Suppose 9 = -h*w - 3. Let v = 10 + w. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:13 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enc when three letters picked without replacement from {d: 2, e: 3, x: 2, s: 6, n: 2, c: 2}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 424211 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1399, 2107, 3301, 4981, 7147, 9799, 12937?\n\"Answer: 243*f**2 - 21*f + 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*m**3 - 10*d*m**2 + 5*d + 4*m**3 - 2*m**2 wrt m.\nAnswer: 12*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7784440398 to the nearest integer?\nAnswer: 88229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (27\/6)\/(-3)*-64 is divided by 6\/4 - 741\/(-38).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*x - 2. Let w be (-1)\/(2 - -1)*315\/x. Let c = -103 + 145. Calculate the highest common factor of c and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -5*w + 3*w - 2*l, 0 = -4*w - 2*l + 206. Let f = w - 20. Solve 4*r = -9 + f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35250*n**2 - 4*n + 1110354.\nAnswer: 70500*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 2. Suppose 27*v - 220 = -58. Give n(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -28. Suppose -3*o = -4*o + 6. Calculate the least common multiple of o and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 4 - (-1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 2:13 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52360, -209184, -470466, -836206, -1306404, -1881060, -2560174?\nAnswer: -3343746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 252090905481 plus 1?\nAnswer: 252090905482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2) + -2 + (sqrt(288)*3 - sqrt(2))**2 + 0 + (sqrt(12) + sqrt(24)\/(sqrt(8)\/sqrt(4)))\/sqrt(6).\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, 57562, -20?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002296 to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22080560\/189 - 116828. Let k = 2\/949521 + 568129813\/119639646. Let a = d - k. Calculate the common denominator of a and 67\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2. Let m(j) = 8*j + 4*j + j**2 - 12*j. Give z(m(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.98 - -4.1. Let u = 0.8 + i. What is the biggest value in 3, -3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Let h = 34314 - -5702. Suppose 5*t = b*t + 12, 2*u - 4*t = -h. What is u rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:50 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -18. Let a = 7213 + -50335\/7. Let s = 1702\/77 - a. What is the nearest to -1\/4 in -0.3, s, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-2))\/((-3)\/(-78)). Suppose y + p - 6*p - d = 0, 0 = 3*p - 9. Let s = -11 - -25. What is the remainder when y is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2451 and 201369?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.9687283 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -883*c - 1749. List the prime factors of i(-24).\nAnswer: 3, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11405235 (base 6) in base 14?\nAnswer: 94ad9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1000101101000011011?\nAnswer: -1000101101000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867584 a multiple of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**8\/6720 + f**7\/8820 - f**4\/3 - 2*f**2 - 58*f. Let c(u) be the third derivative of m(u). Determine a so that c(a) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10308)\/(-1461159))\/(((-12)\/14)\/(-3))\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 6*s**2 - 7*s + 13. Calculate u(8).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 303 - -28. What are the prime factors of v?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -13. Solve i + i + 8 = p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 9*p - 7*p - 2*p + 1. Let q(s) = -5*s - 4. Give -4*h(v) - q(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*c + 28 = t, 0 = -t - 5*c + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16769 divided by -409?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31\/515 - -2\/309. Let b(d) be the first derivative of 0*d**4 + q*d**5 - 1 - 2\/9*d**3 + 0*d**2 + 1\/3*d. Determine k so that b(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) + 2*sqrt(132)*-3 - sqrt(132) - sqrt(132)))\/(-4*(sqrt(1728)*2 + sqrt(1728))).\nAnswer: -7*sqrt(11)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133416 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 384.6912cm to nanometers.\nAnswer: 3846912000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145\/29*(-12)\/(-100)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -10) + -15 - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 119 - 117. Suppose -4*l - c = -64, -q*c + 2 = -6. Solve -l = -3*x - 4*d + 8, -7 = -2*x - d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-510)\/340)\/(42\/(-4))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(13\/((-65)\/10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*a + 2. Suppose -g - a*g + 12 = 0. Suppose -g*n = -n - 12. Solve 0*k = -n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 95. Suppose -38*i = -13*i - 16 - 34. Suppose -m + s - i*s = -19, -m + r = 2*s. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2603198764.29875 and -0.3?\nAnswer: 2603198763.99875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719551363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*m = -16, -f + 0*f - 5*m = 5. Suppose 0 = -f*n + 3 + 17. Let y be 0\/(-2 + (n - 1)). Solve -6 = -y*d + 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c - 120 = 0. Let a = 195 + c. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 372 and 252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -92.8061.\nAnswer: -93.8061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 3*j + 31 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (5 - 2) + 6 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.8 (b) -0.02 (c) -1 (d) 41118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26477, 26480, 26493, 26522, 26573, 26652, 26765?\nAnswer: 26918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222289.9cm to micrometers.\nAnswer: 2222899000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y + 345 = 42*y. Let m = 72 + y. Solve 2*l - 5*l = -m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12721 + 12981. Calculate the greatest common divisor of a and 3328.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 t when four letters picked without replacement from {v: 3, n: 13, t: 4}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4072 and 61\/2776.\nAnswer: 1412984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-9) + (-8)\/(-12). Let s(h) = -h**2 + h + 1. Let d(r) = r**2 - 12*r - 12. Let f(x) = j*s(x) - d(x). Calculate f(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287642.5*-185\nAnswer: -53213862.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 277624.\nAnswer: -15\/277624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/40*(-13408)\/(-8799)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3484 is divided by 1158?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 720616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7816 is divided by 320.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 878748\nAnswer: 1\/219687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(4)*6 + (sqrt(51) - 2*sqrt(51))*3)\/(-1*sqrt(147) + -2*(sqrt(3) + (2*sqrt(3) - sqrt(3)))).\nAnswer: -3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(2\/3)))\/g*g)\/(g\/(g*g**19))*((g\/g**(5\/2))\/g)**(-41))**(22\/7) assuming g is positive.\nAnswer: g**(8063\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -7, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 222 + (18 - 15). Is 227 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44930 < 44931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 519790043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 505253 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 9. Let t be (-12)\/6*(-3 - o). Suppose 3*s - 5*l = 1031, 3*s - t*l - 1015 = -l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534183565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 92 = -2*a - 2*r, 4*a - 5*r + 120 = 0. Is (-2)\/(-3)*(2 - a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9 + (28870\/1710 - 17).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43345 is divided by 102?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1564?\nAnswer: -7820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*s**5 + 0*s**5 - 4*s**5)*(190 - 454 + 211) - 2*s**5 - 4*s**5 + 4*s**5)*((-3 + 1 + 3)*(3 - 6 + 2) - 2 + 2 - 1).\nAnswer: 216*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 9 = -3*m, 4*m = 3*s + 6 - 35 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.3 + 584.3. Let j = o - 540.0001169. What is j rounded to 6 dps?\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, 74, 216, 482, 914, 1554, 2444, 3626?\n\"Answer: 7*x**3 - x**2 + 14*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6850 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(66)\/(-2*sqrt(27)))\/(-2*sqrt(176)*-3 + sqrt(176) + (-4*(sqrt(176) - (sqrt(176) + sqrt(176) + 2*sqrt(176))) - sqrt(176))) + -5.\nAnswer: -5 + sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from mzolgzo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*m - 797, 4*y + 1454 = 5*m + 133. Let i = m - 85. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -i + 1, u = -i - u + 2. Suppose 0 = -i*c - 2 + 14. Suppose -c*r = -4*l + 55, 5*l + r - 17 - 28 = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.1399 * 327.\nAnswer: 3969.7473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 5:08 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let c = -399 + 403. Suppose 3*a = 2*a + q - 3, -c*q + 22 = a. Sort 4, a, -3, d in ascending order.\nAnswer: -3, d, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 3. Suppose 3*u - 15 = 3*y, 3*y = -y - 4*u - 28. Let c(v) = -7*v + 6. Calculate y*c(h) + 11*l(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1264.4 * 0.226\nAnswer: -285.7544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-70)\/525*25*(-6)\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccclwotoowotootocw. Give prob of sequence wt.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**2 + 2*k - 4. Let c(q) = q**2 + q - 1. Let t(a) = 2*a**3 - 25*a**2 + 72*a + 1. Let r be t(8). What is r*l(f) - 6*c(f)?\nAnswer: 2*f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3521947\/3 - 1173975. Factor j**3 + i*j**2 + 29\/3*j - 10.\nAnswer: (j + 3)*(j + 5)*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2022742 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1089, -2055, -2859, -3501, -3981?\n\"Answer: 81*l**2 - 1209*l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2593 + 1527. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 - 4*m**3 - 8*m**3)*(5*m**2 + 4*m**2 - 2*m**2) + (-m**3 + 4*m**3 - 2*m**3)*(3 - 3 - 2*m**2).\nAnswer: -107*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/784 and -97\/7840.\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 31*o - 8 + 107 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwklklkw. What is prob of sequence wlwl?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 15. What is o(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2)*0\/6. Suppose 5*x + y = 3950003, -3*y = -c*y - 9. Round x to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*m + 24, 3*a + 18 = 5*m - 2. Let o = 198.62 + -180.62. What is the second smallest value in -4\/3, a, 4, o?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -0.1, -13, 2, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-3 + 27\/6). Solve z - d = -z - w, -2*z - 4*d = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -259b74 + -91?\nAnswer: -259c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 500 and 23620?\nAnswer: 590500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 35*c**3 + 8*c**2 - 8*c - 14. Let t(d) = 3*d**2 - 6*d**2 + 3*d**3 - 17*d**3 + 5 + 3*d + 2*d**3 + 0*d**2. Give -3*i(q) - 8*t(q).\nAnswer: -9*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**18\/q)\/q)**(-10) assuming q is positive.\nAnswer: q**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/30*(-3)\/2. Let l be 69\/(-12) - 30\/(-5). Which is bigger: l or n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*i - 115498 = 9*i. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**2\/7 + 73299*t\/7 + 366570\/7 = 0?\nAnswer: -5, 24438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0, 169, -19\/4, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - 2)*(12864\/1340 + 9\/(-5)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 788961259*o**2 + 794584058*o?\nAnswer: 1577922518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 2)*(-2 + 0*q**2 + 3 - 2*q**2).\nAnswer: 8*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 2. Let v be c(7). Suppose 0 = -v*m + 89 + 46. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-80)\/15*15\/4. Let p be 86\/8 + 1 + (-5)\/i. Suppose 0 = -z + 2*s + p, 0*z + 2*z + 4*s = -8. Are z and 4 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -53\/8*j**4 + 0*j - 111\/20*j**5 + 0*j**3 + 0 - 43*j**2. Find the second derivative of z(b) wrt b.\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 689500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16903.\nAnswer: 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -46, 18\/31, 1469?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 40*z - 1135. Solve 0 = 5*r - 3*f + z, -4*r - 25 = 4*f - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -13. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.13109, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16148409*n - 2052 = -16148371*n for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -516 divided by -399?\nAnswer: 172\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -14)*30\/8*10\/(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 202651 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*s**4*x**2 + s**3*x**2 - 1429*s**3 - 10057*s**2*x**2 + 12*s*x**2 wrt s.\nAnswer: 720*s*x**2 + 6*x**2 - 8574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 198660.7 kilograms in micrograms?\nAnswer: 198660700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 28 = 3*g + g, -5*m = 3*g - 50. Suppose 7*a = 230 + 330. What is the greatest common divisor of g and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:22 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 2. Let f be (3 + p\/(-4))*4. Factor 0*o**4 - 1\/4*o**5 + 1\/2 + o**3 - 1\/2*o**f - 3\/4*o.\nAnswer: -(o - 1)**3*(o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*r = -150 - 1755 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 13*y + 1. Let k(p) = p**2 - 13*p + 1. Determine 2*i(b) - 3*k(b).\nAnswer: -b**2 + 13*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4213190 to the power of 1\/2, to the nearest integer?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4186 divided by -2.\nAnswer: -2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z*z**3\/z)**(-43) assuming z is positive.\nAnswer: z**(-301\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4504392 divided by -4\nAnswer: -1126098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1595280 to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27771*-3.93.\nAnswer: 109140.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(98))**2 + sqrt(98) + sqrt(2) + 1 + 5 - (-6*(2 + sqrt(50)))**2.\nAnswer: -1840 - 712*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Let c be (-6)\/4*(0 - 10\/3). Suppose 0*q = q + c, r - 44 = 5*q. Calculate the remainder when r is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - -64 - 54 - 1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -410667, -1642665, -3695993, -6570651, -10266639, -14783957?\n\"Answer: -410665*f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 j when four letters picked without replacement from fsnsfnnfffsfsffjfsff.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2 + 382573402*h + 36590601979463401 = 0.\nAnswer: -191286701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 234, 371, 646, 1101, 1778, 2719?\n\"Answer: 7*j**3 + 27*j**2 + 7*j + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262288 (base 9) to base 4.\nAnswer: 212312330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**3\/6 - 7*o**2\/2 - 2*o. Suppose 26 = 2*z - 2*n, -5*n + 10 = 25. Let x = z - 10. Give s(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + -6*(-1 + sqrt(288) + sqrt(288)))*5)**2.\nAnswer: -2075400 + 86400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*s + i - 2, -4*i - 34 = 3*s. Let d(f) = -f - 2*f + 2*f - 3 + 0*f. Determine d(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6612 + 11665. Calculate the smallest common multiple of b and 7.\nAnswer: 35371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13371605 (base 8) in base 14?\nAnswer: -585685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:52 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 86.\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (-179275)\/(-202) - (2\/4 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let b = 17 - 19. Let k(d) = -5*d. Let v = 25 + -14. Determine b*k(u) + v*l(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8527 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: In base 12, what is -31 + 606?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 160775585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56545 - -2211?\nAnswer: 62056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572013 and 204867?\nAnswer: 1001594763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 16. Suppose u*w - 42 - 9 = 0. Calculate the highest common divisor of 85 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-162)\/(-108))\/(10\/(-4)*1). Put p, 5, 11\/2 in descending order.\nAnswer: 11\/2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3112 and 59979132?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*o**3*r**5 - 158537*o**3*r**2 - 1586*o**3 - 82*r wrt r.\nAnswer: -140*o**3*r**3 - 317074*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -0*p + 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 8*q**2 - 6*q + 9. Calculate the remainder when n(-8) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-1)\/(l\/l**1*l*l\/(l*l*l**(-2\/9))) assuming l is positive.\nAnswer: l**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*r**2 - 49 + 127 - 47 - 31.\nAnswer: -628*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822707 is divided by 29382?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, x: 1, w: 7, i: 1}. Give prob of sequence jj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 227423344?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4740257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.8 + -33.8. Let z = -27 - t. Sort z, -2\/13, -2.\nAnswer: -2, -2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = 30. Let f(w) be the third derivative of -1\/10*w**5 - 1\/24*w**4 + 0 + 0*w + 1\/2*w**3 + w**2 + 1\/120*w**6. Determine f(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 2, 2\/7, -3, -2\/11, -23 in decreasing order.\nAnswer: 6, 2, 2\/7, -2\/11, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - h = -542, -5*h - 30 - 635 = -5*i. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*((1 + sqrt(720))*4 + -5))**2.\nAnswer: -96*sqrt(5) + 11521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/2)*(l**(-2\/5)*l)\/l*l*l)\/(l**(-2\/9)*l*l\/(l*(l\/l**2*l)\/l)) assuming l is positive.\nAnswer: l**(119\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 - 762*r - 19010. Calculate p(-121).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 3*d + 5. Let z be a(-4). Let t(c) = -19*c - 137. Let q be t(-10). Suppose -z = -2*h + q. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i = 52*i - 42. Solve -2*j + 11 = 4*z + 21, -2*z - i*j - 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1260845*n - 28. Let q be m(5). Let c = -4470472 - q. Suppose c = 3*s - 6896219. What is s rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -230 + 210.28. Let l = d - -20. Let p = 0.244 - l. Round p to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18504 and 84.\nAnswer: 129528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1) - (54\/(-9))\/(-3). Let j(k) = 12*k + 330. List the prime factors of j(r).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13822, -27815, -41808?\n\"Answer: -13993*j + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -8 (b) 38 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -16238\nAnswer: -4\/8119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -71 (b) -0.07 (c) -8\/19 (d) 3 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 13)*(-m - 8*m + 4*m)*(-67*m - 15*m - 56*m) to the form x*m**2 + y*m + c and give x.\nAnswer: 11040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 822, 1421, 1732, 1755, 1490, 937, 96?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 14, p: 2, d: 1}?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(756)*6)\/((sqrt(36)\/sqrt(3))\/sqrt(4) - 4*sqrt(27)))**2 + 2.\nAnswer: 72*sqrt(7)\/11 + 9435\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z. Let w(k) = -46*k - 1. Let s be w(-1). Suppose -2*v + 5*v = s. Let a(n) = v - 15 - 4*n. Give i(a(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 4*w - 1 = 25, 431*a + 4*w - 12 + 24 = 427*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 273 - 96. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5228882 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 0 (b) 2 (c) -4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 49*a**2 - 32*a - 340. Determine q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znvannvknnaavnv. What is prob of sequence nk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What is prob of picking 1 y and 1 u when two letters picked without replacement from uxyuyyuyuyxyyuyy?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -809*l - 3838*l - 162645 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -17 + 16. Sort -4, 0, u in increasing order.\nAnswer: -4, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82.27 + 5.27. Which is smaller: -2\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 44 (b) -4 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/29, -23\/10, -658?\nAnswer: -658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**3 - 5*o + 34. Let k(f) = -f**3 + 3*f - 18. Determine -5*k(s) - 3*u(s).\nAnswer: -s**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u + 8. Is l(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-5*n**2 + n**2 - n**2) + (6*n + 3*n + 2*n)*(5 + 0 - 4)*(0 + 3*n + 0).\nAnswer: 43*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5) - 12\/(-5). Let r be (-1 + -1)*1\/x. Let b be (-30)\/(-33) + (-2 - r). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 - 3*x. Let a be d(-2). Suppose 0 = o - 10 + a. Suppose o*l = -144 + 720. What is the greatest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/5))**(-2\/43))**(-2\/61)*b*b**7*b\/(b*b*b*b*b\/b**(-2))*(b**(-2\/3))**40 assuming b is positive.\nAnswer: b**(-970534\/39345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8177 (base 9) to base 6\nAnswer: 43411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*w - 94, 5*w - 8*w = 4*o - 118. Calculate the highest common divisor of o and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -518 - -1280. Let p = 765 - o. Factor 0 + 2\/3*n**2 + 1\/6*n**p + 1\/2*n.\nAnswer: n*(n + 1)*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81641802, 81641801, 81641800?\nAnswer: 81641799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 395 and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) -7\/4 (c) 425 (d) 8\/5 (e) -2 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -54, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.6 + 13.6. Let l = w + -37. Let f = l + 25.81. Round f to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {d: 7, h: 11}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 13471 + -11303. What are the prime factors of i?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -41. Suppose 8*q - 5*q = w. Solve 2*u - q = 2*f, 0 = -3*u + 8*u + 3*f + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521.75468 to the nearest integer.\nAnswer: -1522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + f**2 - f - 7. Let z be p(8). Calculate the highest common factor of z and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -354.13 - -352. Let f = 0.13 + h. What is the biggest value in f, -0.01, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 62.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -132200 rounded to the nearest 1000?\nAnswer: -132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**2\/5 - 505911*q - 843186\/5.\nAnswer: 3*(q - 281062)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.403 - 0.103. Let b = 0.7 + l. Let c = b + -5.0009. What is c rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/(7\/(-54)) + 1 is divided by 102\/12 - (-1)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -6, -3*s - 2*m - 3*m - 22 = 0. Let z = -544\/157 - 253380\/1727. Let a = z - -150. What is the closest to 1 in -5, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(-2 + 2*g + 2)*(4*g - 3*g - 2*g).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/9 - 6\/(-18). Let z(h) be the first derivative of -9\/2*h**4 - 14\/3*h**3 - 2 - 2*h**2 + b*h - 1\/3*h**6 - 2*h**5. Find s, given that z(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**2 + 3*m. Let g(y) = 4*y**2 + 2*y. Let o(j) = -2*c(j) + 3*g(j). Let d(w) = -3*w**2 + 1 + w**2 - 1. Give o(d(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 1. Let b = n + -73\/2. Calculate the common denominator of b and 3\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60439105?\nAnswer: 5, 61, 71, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 25*c - 13. Let f be u(-9). Suppose f*d - 20 = -5*i, 0 = 5*i + 2*d - 5*d + 4. Solve 4*m + 0 = -4*h - 4, h + 2*m = i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 36. Let g = 556 + -555. Sort w, g, -5 in descending order.\nAnswer: w, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.7277?\nAnswer: 2.9108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-72) - 4\/(-18). Let a be (7 - 5) + (-3 - z). What is the biggest value in a, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 13. Suppose -2*y - 15 = a. Let x(f) = 2*f**3 + 10*f**2 - 8*f - 10. Let q be x(y). What is q rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070 divided by -2629?\nAnswer: -1070\/2629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 9*y - 12. Let t = -51 - -57. Let o be m(t). Suppose 73 - o = p. Calculate the remainder when p is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/4 + (-19)\/(-4). Let v(g) = -2*g**3 + 13*g**2 + 1204*g - 7254. Let o be v(6). Solve o*r = u*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*n**3 - 336*n**2 + 60*n**3 + 106*n**2 + 66*n**3 - 167*n**3 in the form x*n**2 + o*n + j + t*n**3 and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, and 1 l when three letters picked without replacement from fkblkl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - 0) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10200202 (base 4) to base 11.\nAnswer: -12968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 + 189. Let o = b - 583\/5. Factor 0 - o*d - 2\/5*d**4 - 6\/5*d**3 - 6\/5*d**2.\nAnswer: -2*d*(d + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14 + 15cc?\nAnswer: 15b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/729 - 13\/(1404\/(-256))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 11 = 3*p + 26, 2*d + 2 = 4*p for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685488271?\nAnswer: 13, 739, 71353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 875999, 875953, 875907, 875861, 875815, 875769?\nAnswer: 875723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12529186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o + 8*o + 11*o - 16*o - 11*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (0 + sqrt(68)))**2 - sqrt(17)) + -5.\nAnswer: -5 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 483*l**2 - 213*l**2 - 4 + l**4 + 2 + 2*l**3 - 129*l + 132*l to m*l**3 + i + f*l**4 + t*l + n*l**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.2. Let r = h - -0.1. Let d = 0.9 + r. What is the smallest value in d, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016 + 124 = 95*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000200096 to 6 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 (base 6) in base 16?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Let s = -1296 + 1300. Solve -j + w = -3*w - 1, -s*j - f*w = -4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6279 + 6578.21. Round k to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 53. Is 15 a factor of -1 + (-2 - t) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/264 and 71\/1584.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79553651, 79553652, 79553653, 79553654, 79553655, 79553656?\nAnswer: 79553657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4408457701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080476791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 4*g - 13, -3*h - g + 13 = 0. What is the greatest common factor of 12 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 5*d + 337 - 5 - 9*d + 14*d.\nAnswer: -d + 332","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161.61 + 0.61. Let i = 161.149185601 + -0.149338601. Let c = v + i. Round c to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -13*q. Let j(c) = -1. Let x(g) = 3*g - 8. Let t(u) = -24*j(u) + 3*x(u). Give v(t(n)).\nAnswer: -117*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78.93 or -2\/15?\nAnswer: 78.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y - 35*y + 22*y)*(-7*y**2 + 13*y**2 - 12*y**2) - 3*y**3 + y**3 + 4*y**3.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 57635116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = f + 17, 0 = -4*f - 0*k + 3*k - 48. Let r = -221 + 330. Let s = r + f. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 20225*o. Let m(a) = -250*a. What is j(m(n))?\nAnswer: -5056250*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1347630 and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -544 + 20*c + 1099 - 545 in the form r*c + u and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, r: 3, v: 2, h: 5}. Give prob of sequence ggvv.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -4662*r + 4627*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 4)*(-1 + 5 - 3)*(-3*d**3 + 9*d**3 - 5*d + 3*d) in the form p*d**2 + l*d**3 + h*d + b and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - i + 12, 0 = 5*a - 0*i - 5*i + 20. What is the least common multiple of 1 and (a + 0)*3\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*a - 4*g, -3*a + 0*g - 23 = -5*g. What is the remainder when a\/7 - (-660)\/14 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -1. Let v(m) = 169011*m - 2. Let d be v(a). Let q = d - -1815057. What is q rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2841, 5627, 8401, 11157, 13889, 16591, 19257?\nAnswer: 21881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 - -37. What is the units digit of q + (3\/5)\/(-3)*0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -14 + 15 + -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 3 + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Let x = -4 - -7. Let j = x - v. Which is the nearest to -0.1? (a) j (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h - 9. Let n = -7 - 17. Let s = n - -22. What is the second smallest value in s, -0.5, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n + 2*p + 20, 0 = 2*n - 4*p. Let b be (1 + n)*(-16)\/6. Solve -b + 4 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -980, -1961, -2942, -3923, -4904?\nAnswer: -5885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008535 to 5 decimal places.\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-89 - -56) + (5 - -32)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(-55)*((-42)\/448)\/(3\/10).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 7*y - 3. Let h be i(-8). Solve -2*f - h = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 5, -180, -7, 3.\nAnswer: -180, -25, -7, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*w + 55*w - 416*w**3 + 58*w - 162*w.\nAnswer: -416*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11150243 - -5?\nAnswer: -11150234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38312, -76624, -114936, -153248?\nAnswer: -191560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0335741808 + 77.\nAnswer: 77.0335741808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177 - -164. Let t = r - -6. Which is the biggest value? (a) t (b) 5 (c) -3\/4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -18, 3, -4, 33.\nAnswer: -18, -4, 2, 3, 13, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 347.\nAnswer: 25\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 9 + 116 = 0. Suppose -5*l - 4*u = -o, 4*l - 66 = -5*u + 16. Calculate the greatest common factor of 253 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1513.87 - -1504. Let u = -10 - y. Let o = u + 0.12993. Round o to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 564, -3, 3 in decreasing order.\nAnswer: 564, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45113360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 618 - 254. Suppose 0 = -2*s - 2*s - 3*i - l, -204 = 2*s - 4*i. What is the units digit of 4\/(-5) + s\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 1. Suppose -m = -0*m - u. Let o(y) = 6*y**2 + 2*y - 1. What is o(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21 - 19 - (8 + -1). Let o be 0 - (29 + 10\/k). Let f = o + 99. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 45 = 0. Suppose 3*z + 60 = 8*z. Suppose 3*l = l + z. Calculate the highest common factor of l and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -2\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(1\/3))**(-37)\/(u**(-3)\/u**2)*(u**(2\/9)*u)**(-17)*(u*u\/(u\/u**(3\/4)))\/u*u*u\/u**(-7)*u assuming u is positive.\nAnswer: u**(-3289\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -441020110 - 1?\nAnswer: -441020111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(26\/6 + -11 + 10). Solve -w*b - 8 = -6*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1656 - -775. Calculate the common denominator of 73\/8 and -6*2\/(-3) - p\/440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 42550772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -3120032222131?\nAnswer: -3120032222130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5 = -0*p + 4*p, 2*p - 2 = 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -39 (b) 410.8 (c) -5 (d) 218\/5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + -9 + 23 - 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5921 divided by -31\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -2. Let d(k) = k**3 - 8*k**2 - 10*k + 11. Let q be d(w). What is the units digit of (-2)\/q + (5 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 1, 2, -5354 in increasing order.\nAnswer: -5354, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*q + 434*q - 24*q - 742*q - 491*q.\nAnswer: -1422*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 2:00 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -9, 0.06, 14\/13?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -16.3. Which is the nearest to j? (a) -0.3 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 7*b**4 + 10*b**4 - 1 + (-3*b + b + b)*(-10*b**2 - 8*b**3 + 10*b**2) to n*b**3 + c + q*b**2 + z*b + l*b**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36601\/44029 or 0?\nAnswer: -36601\/44029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 2*g - 50 + 25, 4*g = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.793808ml?\nAnswer: 0.002793808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 4*h + 33. What is the tens digit of l(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**5\/5 + 63*n**4 + 355*n**3\/3 + 3*n**2\/2 - 3890. What is the third derivative of r(s) wrt s?\nAnswer: 24*s + 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -244*g**2 + 22*g**2 - 372*g**2 + 184*g**2 - 218*g**2 in the form x*g + t + u*g**2 and give u.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 3 + -1)*10. Let g be (-6)\/9 - (-5)\/3. Let t = 1 + g. Solve 6*y - a = t*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9425790667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**4 + b + 1. Let n(j) be the second derivative of -j**6\/3 + 5*j**3\/6 + 13*j**2\/2 + 17*j. Let z(s) = n(s) - 5*r(s). Differentiate z(x) wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 391919535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 7*a + 3840. Let w be 5 + -6 - (3 + -1) - a. Suppose -7*l + w = -573. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, m: 4}. What is prob of sequence nmm?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43 and 0.2814.\nAnswer: -12.1002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107814263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 66 = -396. Let a = -75 - q. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.081 + 0.519. Which is the closest to 2\/5? (a) 3 (b) q (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 24*(-2 + (-8)\/(-3))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 + 499196*a - 2*a**3 + 7*a**2 - 499196*a as s*a**3 + m*a**2 + p*a + b and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 71 + -6560b?\nAnswer: -6555a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = v - 1788. Suppose c + 7*c - 32 = 0. Suppose -5*r + 4*u = -2241, 3*u = c*r + u - v. Is r 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 2:58 PM and 12:55 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.83 + 0.83. Sort 0.9, 4, h in increasing order.\nAnswer: h, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*u + 61. Which is the nearest to 0? (a) u (b) 2\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**7\/1260 - k**5\/12 + 8*k**2. Let n(o) be the third derivative of t(o). Let m(x) = x**2. What is n(m(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (-67 - -115 - (13 - 0)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2 - 3*c + 1. Let u be x(1). Let l be (-6)\/10 - -3*2\/10. Sort l, u, -2 in decreasing order.\nAnswer: u, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 5*n - 5. Let l be 6\/(-4)*(-3 - n). Suppose -u - 3*q = -4*q - 1, 2*q = l. Solve v - 4*v - 3*g = -6, 3*v + 15 = u*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)\/v)**(2\/39)*(v**(1\/3))**(7\/5) assuming v is positive.\nAnswer: v**(79\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:06 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -12*u**3 - 4*u**2 - 10*u - 7. Let n be z(-3). Suppose 5*d - 1994 - n = 0. Calculate the remainder when d is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14754 + -14752. Let g(p) = -p**3 - 2. Calculate g(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102901\/240 or -429?\nAnswer: -102901\/240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 76\/28 + 4\/14. Suppose 7*f = o*f + 20, 3*f - 63 = -3*p. Let y(m) = 39*m - 2465. Calculate the remainder when y(64) is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 16) in base 8?\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 19*k**4\/6 + k**3\/3 - k**2 + 4*k. Let q be s(1). Let y = -130 - -149. What is the highest common factor of q and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -458202 smaller than -3207420\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 7*f**4 - 2 + (1 - 2*f**2 - 1)*(3*f**2 - 6*f**2 + 2*f**2) - 10*f**2 + 9*f**4 + 10*f**2 + (0*f + 0*f + f**2)*(-f**2 - f + f).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 243444476 and -31297.\nAnswer: 243413179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-20)\/(-25))\/(14\/70). Let s(t) = t**2 - t - 1. Let k(z) = z + 7. Let c = 8 + -14. Let g be k(c). Let m(f) = -f - 1. Determine d*m(n) + g*s(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*n + 17 = 0, -5*x + 2*n + 3 = -1. Find the second derivative of -4*g**2 + 10*g - 3*g**2 + 2*g**2 - 18*g**x wrt g.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = 183 - 23 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.746 - -0.074. Let o = -0.18 - b. Is o < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -248, -485, -722, -959?\n\"Answer: -237*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/(-6))\/1)\/(3948\/(-2632)).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.8798919ms to days.\nAnswer: 0.00000004490615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996.2445t to nanograms.\nAnswer: 996244500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-78)\/(-364)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f + 25. Let t be (2 + f*3)*-1. What is the highest common factor of 91 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1233152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -670576 * -2.6.\nAnswer: 1743497.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16486 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1160)\/1600 - 9\/(-15). What is the nearest to 1\/6 in u, -2, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c = 21. Let o(s) = s**3 + 7*s**2 - 3*s + 5. Is o(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 17\/2*d + 0 - 15\/4*d**2 - 1\/4*d**3 = 0.\nAnswer: -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15079707*b*q**3 + 25737*q**3 - q**2 + 3*q + 3 wrt b.\nAnswer: 15079707*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f + 1029*f**5 - 779*f**5 + 4 - 4 - 6 + 973*f**5 + 41*f**2 - 4*f**4 wrt f.\nAnswer: 73380*f**2 - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 17100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b, 2*p + 15*b - 13*b - 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5 - 317*z**4\/2 - 565*z**3\/2 - 203*z**2\/2 + 51*z\/2 = 0 for z.\nAnswer: -51, -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1532)\/(-6128)*(-2)\/12*-8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 18*u. Let d(s) be the second derivative of -s**4\/12 - 5*s + 3. Give d(t(i)).\nAnswer: -324*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-54)*18\/24*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**4 + 107*u**3 - 8*u**2 + 513730*u?\nAnswer: -48*u**2 + 642*u - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*y + y. Let r be (-4)\/(-6)*72\/(-32). Which is the closest to 2? (a) 2 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(60)\/sqrt(3)) + (sqrt(19) - sqrt(209)\/sqrt(44))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 836 = -t + 3*p, -2*t + 2*p = -1680. Let j = -343 + t. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5 = -0*l. Suppose l*u - 20 = -0. Suppose 4*n + 32 = 2*s, -u*s + 0*n + 2*n + 46 = 0. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**3 - 61*o**2 - 24*o + 20. Let i be h(8). Let k(n) = -n**3 + 21*n**2 - 18*n - 63. Calculate k(i).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22664, 43273, 63882, 84491, 105100, 125709?\nAnswer: 146318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00128703 rounded to five decimal places?\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c - 3850 = 71*c - 45*c - 51*c for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -107412308 rounded to the nearest 1000000?\nAnswer: -107000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 0.7. Let z = -31633 + 31632.5. What is the third biggest value in 11, c, z, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 53429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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 closest to -155 in -0.1, 3, 81, -3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/2)*l*(l*l\/(l\/(l**(3\/2)*l*l)))\/l*l)\/(l**(1\/6)\/((l\/l**(-1))\/l)) assuming l is positive.\nAnswer: l**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + 0.04. Which is smaller: t or 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-7))**(-49) assuming y is positive.\nAnswer: y**(-441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 19823 in decreasing order.\nAnswer: 19823, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8829722?\nAnswer: 2, 11, 271, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6939 + 11567. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -270 + 1894\/7. Let x = -3\/79988 - -80009\/559916. Let k = -2 + 3. What is the nearest to 0 in h, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10*(-10)\/(-6)*-3 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151219 (base 10) in base 16?\nAnswer: 24eb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 11:08 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506*i - 503*i = 0. Suppose -4*u = -0*u - 4*p - 28, i = 5*u - p - 27. Let y(z) = 2*z + 2. What is y(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 1928.\nAnswer: 1927.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.056542 + 5.056542. Let o = 0.112 + -51.112. Are u and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 + (6 - 3 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 2*r**5 + r**2 + (-4*r + 5*r - 4*r)*(9*r**4 - 76*r**4 + 4*r**4).\nAnswer: 191*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*y - 19, 0 = z - 2*z - 3*y - 7. What is the first derivative of z + 3 - 8*i - 6 wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -0.0006, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, -4, 33, -35 in ascending order.\nAnswer: -35, -4, 33, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 2*x - 20, -2*j - 84 = -3*x - 54 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30403.0033423 + 30403. What is f rounded to four decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b + 0*b**4 + 0 - 1\/30*b**5 + 0*b**3 - 2*b**2. Let k(z) = -19*z**2. Calculate j(k(q)).\nAnswer: -722*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 69076.99mg?\nAnswer: 0.00006907699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-123 - (2 - 1))\/((-166)\/1743). Calculate the highest common divisor of 62 and j.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1281027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -13. Which is greater: c or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooaao. Give prob of sequence aa.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t + 10. Let q(p) = 3*p - 9. Let z(c) = 6*q(c) + 5*s(c). Suppose -3*r = 3*l + l + 31, 5*r + 25 = 0. Let f = l + 0. Determine z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395687698?\nAnswer: 2, 7, 28263407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -281*x. Let v(d) = 4*d**2 - 2. Determine v(m(t)).\nAnswer: 315844*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -127, 2, -62, -7 in descending order.\nAnswer: 2, -4, -7, -62, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1664633*z**4 + 1530*z**2 - 11*z - 9?\nAnswer: 39951192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - 5 - 4*v**2 + 34 - 17*v. Suppose -634*q + 34 = -636*q. Does 19 divide m(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1360 - 1360. Solve o = 3*m - w - 5, -w - 16 + 21 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 58\/41 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8056, -32436, -73128, -130132, -203448?\nAnswer: -293076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c6189aa + 4?\nAnswer: -1c6189a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvbvbfbzflfp. What is prob of sequence vlzz?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4414 - 4412.8452. Round n to 1 dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1004*l - 6834. Calculate o(-7).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -123933542 + -5?\nAnswer: -123933547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008823 rounded to 6 decimal places?\nAnswer: -0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 2*c. Suppose -4*s + 4 = -5*s. Let z(a) = -3*a**2 + 3*a. Let y(r) = s*z(r) - 6*o(r). Give y(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35574 - -73574. What is s rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 5*r**2 - 3*r - 4. Let z be b(3). Let y(i) = -i + 17. Let v be y(3). Suppose a - v = -z. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34315736?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, t: 2, p: 2, l: 1, j: 1, m: 2}. Give prob of picking 1 l and 1 j.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44, 71, 110, 155, 200, 239, 266, 275?\n\"Answer: -s**3 + 12*s**2 - 2*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (2*sqrt(66) + sqrt(66))\/sqrt(2) - sqrt(99)\/(sqrt(12)\/sqrt(4)))\/(sqrt(21)\/(sqrt(252) - -1*sqrt(252)))*-5.\nAnswer: -180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 30 = 3*l, 0 = 3*c + 7*l - 48 - 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6586508399?\nAnswer: 36899, 178501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - f - 1 + (f - f - f)*(2 + 0 + 0 - 1 + 4 - 2 - 1 + 0 + 3 + (-5 + 5 + 2)*(-1 - 2 + 4) + 3 - 2 + 0))*(4 + 15 - 8).\nAnswer: -99*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4036954 + -2.\nAnswer: -4036956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2899438.\nAnswer: 2, 19, 41, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 664. Let f be c(0). Let r = -227 - f. Is (r\/2)\/(7\/14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101.27631 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 = -2*a - 35, a + 23 = 4*z. Solve -r + 4 - 2 = z*w, -6 = -4*w - 3*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 - 189. Sort 0, o, 5 in decreasing order.\nAnswer: 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6734 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/7 - -15\/7. Let y = -5\/12 - -3\/4. Which is greater: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21856189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + 2*z + 4*z)*(-25*z - 19*z + 39*z) + 3*z**2 - 3*z**2 + 3*z**2 to the form f*z**2 + i + u*z and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1319752ng?\nAnswer: 0.0000001319752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((215 - 233) + (-12 - 1) - 13).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*z - 454*z + 1150*z - 231*z.\nAnswer: 297*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 3. Does 8 divide v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 1. Let y be a(15). Let s = 11 + y. Is s at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a + 2*m - 20, 0 = 4*a - 5*m - 34. Let h(r) = r**2 - 8*r + 3*r - 10 + 2. Determine h(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 7 + (-784)\/136. Let h = 3 + -2. Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3589*h - 52807 - 234313 = 0 for h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 64 - 24 = 0. What is the tens digit of (-4590)\/w + (-16)\/(-64)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 8*r**2 - 3*r - 15. Suppose 6*n + 6*n + 96 = 0. Let z be c(n). Find the second derivative of 25*g - 19*g**4 + 5*g**4 + z*g**4 wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1403 * 1.1297\nAnswer: -1584.9691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -268267*u - 4734 with respect to u.\nAnswer: -268267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15933, 32062, 48359, 64824, 81457, 98258, 115227?\n\"Answer: 84*m**2 + 15877*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/8320*-16*4\/3)\/(2\/(-54))?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -2*l**6\/15 + l**2\/2 - 7*l. Find the first derivative of y(f) wrt f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**12\/r)**(-9))**42)**46 assuming r is positive.\nAnswer: r**(-191268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/15 + 1388942*d**2\/15 - 241142901494*d\/15 - 241147068338\/5.\nAnswer: -2*(d - 347237)**2*(d + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(-1*sqrt(72)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o - 2 + 2*o - o + (-o + 0*o - o)*(2 + 1 - 1) - 4*o + 3*o + 0*o.\nAnswer: -7*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyv when three letters picked without replacement from {g: 4, v: 3, e: 3, h: 3, y: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjssjdsjx. What is prob of sequence sx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.837 rounded to 1 dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**7\/420 + h**6\/120 - h**5\/120 - h**4\/24 - 2*h**2 - 99*h. Solve j(t) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13309 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13810, -13036, -12220, -11356, -10438?\n\"Answer: v**3 + 15*v**2 + 722*v - 14548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0 = 4. Which is smaller: q or -9\/40?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 14 = -2*w - 0*w, -4*w + 19 = y. Let l be (12\/(-3))\/4 + 9\/6. What is the nearest to -0.1 in l, w, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -174*m - 5. Let j(i) = 174*i + 3. Give -3*j(h) - 2*v(h).\nAnswer: -174*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 30 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -5?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 107260*a - 2 + 54967*a.\nAnswer: 162227*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 8. Let y be k(-11). Let w be (-14)\/6 - 4\/6. Let i be (y - w)*(-4)\/(-24). Let t(v) = 4*v. What is t(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 15*m**2 + 15*m + 19. Let r be z(-14). Suppose 0 = r*o + h + h - 87, 3 = 3*h. Suppose -34 - o = -x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555\/(-37)*1*(-1)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*x + 540 = -420 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 s, and 1 i when three letters picked without replacement from ijcsw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9828\/(-390))\/(-18)*(-12)\/14)\/(2\/210).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*k = 39 - 122, 3*k + 441 = 5*v. Let j = v - 171\/2. What is the smallest value in j, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/22 (b) 20 (c) -5 (d) 3.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -43100000 rounded to the nearest 1000000?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32810952 + -32810957.0000034. Let u = q + 5. What is u rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 + 45945 - 45945 + 373*m in the form x*m**2 + w*m + z and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203189 is divided by 12676?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 84. Solve 0 = -5*f + r - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/5 + 37716*w\/5 + 118541388\/5.\nAnswer: 3*(w + 6286)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/4 and 71\/4652.\nAnswer: 4652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.965 - 0.665. What is the closest to -30.3 in -5, 1\/5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 146*k**2 + 602*k + 383. Let q be v(-150). Solve -68*y + 60 = -q*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 80*r**2 + 37*r + 7. Is g(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-6))\/(((-23)\/(42021\/145))\/(5\/6))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109775 = -31*d - 109310 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**2. Let x(u) = -5*u - u - u + 3*u. Determine x(t(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3195*a - 59508 + 467210 = 11522 for a.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172 - -210. Solve y - t = -41 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 17\/4, 5\/6, -2, -1\/96?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8333 = 3*c + 2*q, 0 = 5*c - q - 13850. What is the remainder when c is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124 (base 5) to base 15.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4618256 and 32240?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -7 - -3 - 0. What is the third derivative of -9*f**2 + f**2 + f**l + 2*f**6 wrt f?\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -307, -609, -911?\n\"Answer: -302*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 5*m**2 - m - 4. Let p = 73 + -78. Give y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**2 + 230*i - 991. What is y(-50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-21)\/(h**(1\/2))**40 assuming h is positive.\nAnswer: h**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/5 and -485 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*d**5*q**2 + 2917*d**2*q**3 + 2*d*q**3 - 99616*d*q wrt d?\nAnswer: 120*d**3*q**2 + 5834*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 387 - 386. Which is the nearest to 1? (a) -15 (b) -2\/5 (c) 0.4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 198 + 75*r**3 - 12*r**3 + 204. Let a be p(2). What is the greatest common divisor of 46 and a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7305667651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245063218?\nAnswer: 2, 1097, 111697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897176.\nAnswer: 2, 7, 37, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9914 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 141.72799.\nAnswer: 425.18397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 33*x + 157. Give l(31).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59368 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:58 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 53, 113, 207, 353, 569, 873, 1283?\n\"Answer: 3*o**3 - o**2 + 42*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1918 + 3837\/2. Factor -2*p**4 + 2*p**2 + 3\/2*p**3 - 2*p + 0 + f*p**5.\nAnswer: p*(p - 2)**2*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5059, 8670, 10887, 11704, 11115, 9114, 5695?\n\"Answer: -t**3 - 691*t**2 + 5691*t + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77150 or 1620158\/21?\nAnswer: 1620158\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/3*(-3)\/90.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - r**2 - 2*r - 4. Let a(g) = -35*g + 278. Let h be a(8). Determine q(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 77*i - 83*i. Is 1314 + (-4)\/12*3*i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65224 divided by -248\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-40)*8*(-3)\/(-84)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1204381521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29836872 divided by 3315208?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -4*d**4 - d**2\/2 - 1608. Let c(b) = b + 4. Let m be c(-5). Let x be w(m). What is the highest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178 + 39*k**2 - 73*k**2 + 35*k**2)*(k + 2*k - 4*k).\nAnswer: -k**3 + 178*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 37. Let d be 9\/6*(-10)\/(-3). Solve -u - 5 = -d*n, -n + k = -6*n - 3*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -0.4, -4, 9749, -14, 0?\nAnswer: 9749","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 5*z**3\/6 + 3*z. Let c(p) = 2*p**2. Calculate h(c(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41459217 rounded to the nearest 1000?\nAnswer: 41459000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 2*y**2 - 6*y + 5. What is the least common multiple of 11 and q(3)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 200, 403, 604, 803, 1000, 1195, 1388?\n\"Answer: -m**2 + 206*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2090 = -1695. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = 12*g - 4114. What is the second derivative of -s**4 + s**2 - g*s + 97*s - s**4 wrt s?\nAnswer: -24*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.035 - -127897.61.\nAnswer: 127897.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1290*m - 3538*m + 8482*m as j + x*m and give x.\nAnswer: 3654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.1 + 26.9. Let r = 25 - d. Let q = r + 15. Sort -1\/7, q, -0.3.\nAnswer: -0.3, -1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 + 3*y + 1. Let u be w(4). Let x(i) = -i**2 - 3*i - 4. Determine x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -31. Let l(j) = j + 8. Let b be l(0). What is the second derivative of -f + 4*f**2 + v*f - b*f**2 wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 31 + 149*v + 3*v.\nAnswer: 152*v + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) -1\/6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 224*j**4 + j**2 - 225*j**4 + j + j + 444*j**4 + 2*j**3 in the form n*j**3 + s*j + r*j**2 + p*j**4 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - b - 13 = -2, -2*p + 5 = 5*b. Let x be p\/(50\/(-4)) - 24\/(-10). Suppose -18 = -4*y - x*y. Which is smaller: 8\/5 or y?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16056 divided by -6?\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -8 + 15 - 9 + 72*c. What are the prime factors of u(1)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013 a factor of 323704079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-3\/5)*t**(-2\/3)*(t\/t**(-5\/3))\/(t\/(t**(1\/8)\/t))*((t\/(t**(2\/21)*t))\/t**2)**47 assuming t is positive.\nAnswer: t**(-81271\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(800\/328) + 1\/10. Let v(a) = -a - 8. Give v(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 18*k - 506. Let j be d(28). Put j, -15, -4, 1 in descending order.\nAnswer: 1, j, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzzu when four letters picked without replacement from pzpzppuuzz.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -59024, -236036, -531056, -944084?\n\"Answer: -59004*k**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w**2. Let p(i) = -3*i**2 + 19*i**2 - 6*i**2 - 9*i**2. Determine p(u(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1. Let a = -9 - -6. Let b(m) = -m - 1. Let r(v) = a*b(v) + 5*u(v). Let s be r(2). Is -1 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.457 + -0.357. What is s rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 2*n + 5*n - n**2 + (0*n - 2*n + 0*n)*(2*n + 0*n - n).\nAnswer: -5*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15292 + 654988 = 10312*o for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3*z**2 + 2\/3*z**3 - 1\/3*z - 1\/3*z**5 + 4\/3*z**4 + 4\/3 = 0. Calculate z.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21093591767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*d + 480. Let b = -27159 - -27184. What is the remainder when d is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17266691 + -11136691. Round x to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1337232, 1337229, 1337226, 1337223, 1337220?\n\"Answer: -3*j + 1337235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 12. What is the common denominator of 23\/12 + (s - 3) and ((-762)\/16)\/(43 - (-31 + 65))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1204 - 3.21620332.\nAnswer: 1200.78379668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-218)\/872*((-26)\/156)\/((-4)\/(-6))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3495.844275 to 1 dp.\nAnswer: 3495.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.11831um in centimeters?\nAnswer: 0.003811831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -391151\/14577 + 1\/9718. Let a = 27 + d. Let 1\/3*h**3 - 1\/3 - 1\/3*h**4 - 1\/6*h - a*h**5 + 2\/3*h**2 = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*n = 3*n + 5, 3*n - 11 = 2*r. Let q(p) = 8*p**r + 3*p - 5*p**2 + 4 - 16*p**3 + 11*p**3 + 4*p**3. Determine q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**3 - 2989*m**2 + 14896*m + 71616 = 0.\nAnswer: -3, 8, 2984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 7*u**2 + 7*u + 6. Let b be a(-6). List the prime factors of 1 + b + 6\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 81 = q - 0*q, -3*g - 313 = -5*q. Suppose -m - 8 + q = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4927*s**2 - 5754*s**2 + 2.\nAnswer: -10681*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 15 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25203355 is divided by 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 7*l**2 + 9*l + 12. Let r be d(-8). List the prime factors of (-50)\/r*(-16)\/5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 46164*r + 266389362.\nAnswer: 2*(r - 11541)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*t - 7 = 0, -3*b - 4*t + 6 + 11 = 0. Suppose 3*x - 36 + b = 0. What are the prime factors of (x\/3)\/(6\/18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-30)*42\/119)\/(96\/120)*1.\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h + 6 = -48*h - z, -2*h + 26 = -3*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013143727 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(20\/(-2362))*-2*1. Suppose -5*g + 69 = -u. What is the highest common factor of g and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -q - 2*q + 155, -3*v - 4*q = -111. Let h = 62 - 33. Let b = v - h. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407780 and 19850.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4 - 2*l**3)*(28 + 12 + 12) + l**3 + 3*l**3 - 2*l**3 + (-3*l - 2*l + 8*l)*(-2*l**2 - 4*l**2 + 5*l**2).\nAnswer: -105*l**3 - 104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*u*w**2 - 335*u*w + 936*u - w**2 wrt w?\nAnswer: -10*u*w - 335*u - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggu when three letters picked without replacement from {u: 4, g: 4, h: 1, p: 1, c: 1}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592808769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11409 + 132?\nAnswer: -11277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 1084224*u**2 + 97999743663*u - 6854670387810.\nAnswer: 3*(u - 180669)**2*(u - 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1440*t**3 + 10*t**2 + t + 16. Let d be j(11). Let h be d\/294 + (-1)\/(-3). Let l = -6523 - h. Calculate the common denominator of l and -97\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**3\/6 + 10*l**2 + l. Let q be o(20). Suppose -4*i - 3*h + 6173 = q, -6*i - 4*h = -2*i - 6176. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-6))\/((-29)\/(-116)))\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4259*i = -2*h + 4253*i + 2, 0 = -5*h - 3*i - 55 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-30))\/(66\/220)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(486\/3024*8\/3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let t(a) = 9*a**2 + 57. What is t(f(l))?\nAnswer: 9*l**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20654 and 0.030743?\nAnswer: -634.965922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, g: 3, f: 4}. What is prob of picking 3 g and 1 w?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 3:13 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6418 (base 15) to base 7\nAnswer: 115505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 657 = -692. What are the prime factors of b?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1.053 (b) -3.1 (c) -1\/8 (d) 2 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95 + -100 - (1 + 0) - (2 - 20) - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13047581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**3*o**3 + 3*l**3*o**2 + 19*l**3 - 10600*l**2*o**3 + 261677*l**2*o**2 + 2*l**2 - 485*l*o**3 - 2*l*o**2 - l wrt o?\nAnswer: -24*l**3 - 63600*l**2 - 2910*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -2 + 0 + 2. Suppose 0 = 9*r - y*r - 8. What is the third biggest value in -1, r, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*k + 899 - 139 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.4 + 1. Let d = z + -5.3999688. Round d to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 53 = 1726. Suppose 0 = -5*y + m - 8. What is the greatest common divisor of 65 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179060.\nAnswer: 2, 5, 7, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(((b*b**3)\/b)\/b)))\/b)**(-28)\/(b**(1\/7)\/(b\/(b*b*b\/(b\/(b*b\/(b\/(((b\/b**(4\/7))\/b)\/b)))))*b*b)) assuming b is positive.\nAnswer: b**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25154 and -42.064959424.\nAnswer: 25111.935040576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/j**(-4))\/((j\/(j\/(j**(1\/3)\/j)))\/j*j)**17*j**(1\/7)\/j*j*j**(-6)*(j*(j**(2\/7)*j)\/j)\/j*j*j*j*j**4 assuming j is positive.\nAnswer: j**(226\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/130*2*10\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 796380232?\nAnswer: 2, 17, 5855737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 134434 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -4, -1856, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.194, 0, 78 in descending order.\nAnswer: 78, 1, 0, -0.194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011211102202120 + -1122?\nAnswer: -1011211102211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 2*g + 4. Let q be n(-8). Let x = 63 + q. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.03 - -8. Let d = -1.97 + r. Let x = 23 - 23. What is the third biggest value in -10, x, d?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -2\/25, -1\/6, 8?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v + v)*(-5 - 24 + 5)*(-2*v**2 + 3*v**2 + 4*v**2).\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262797865?\nAnswer: 5, 11, 37, 89, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 271760354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4\/2 + 18964*o**3 + 2498757*o**2\/2 - 2555651*o + 1287308 = 0?\nAnswer: -37862, -68, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37766, -37444, -37120, -36794, -36466?\nAnswer: -36136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45\/2, 0.1, 1\/8, -1, -100, 0.09 in decreasing order.\nAnswer: 45\/2, 1\/8, 0.1, 0.09, -1, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npp when three letters picked without replacement from pnpppppppppppppnpp?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 41, 36, 29, 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3305754 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1619\/3 + 79493\/147. Find the common denominator of -31\/28 and t.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21354 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22021 and -352823?\nAnswer: 374844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 15) to base 8.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 29*p**2 + 113*p**2 - 5.\nAnswer: 142*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than -3138200\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 2, h: 8, d: 5, b: 3, z: 1}. What is prob of picking 1 z, 1 s, and 1 d?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 7*f - 7. Let p(z) = -4*z**3 - 7*z - 3 + 2*z + 2*z**3 - 2. Let a = -17 + 24. Determine a*p(k) - 5*h(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**20\/((o*o**(-2\/7)*o)\/o)**46 assuming o is positive.\nAnswer: o**(190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -n - 0*n - 2*l, 5*l = 15. Suppose n - 78 = -3*y. Let v be 6\/y*9\/3. Put -2, v, 6 in descending order.\nAnswer: 6, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 not equal to -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 11*x**2 - 18*x + 10. Let g be z(9). What is the greatest common factor of g and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 2. Let k(d) = -2*d + 26. Calculate the lowest common multiple of g\/(-2)*(-32)\/10 and k(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 252700.4km?\nAnswer: 252700400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -844*-13.106\nAnswer: 11061.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 86921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**8\/6720 - d**7\/315 + d**6\/80 - 11*d**4\/12 + 3*d - 1. Let o(m) be the third derivative of x(m). Factor o(i).\nAnswer: -i*(i - 1)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9, 5\/121, -0.7, -0.8, 4, 2\/13?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 5. Calculate o(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239726 a multiple of 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 0) + 1 + -44 + 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*6*31*(-132)\/18414?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a - 4. Let s = 243 + -247. Let p(l) = -646*l - 153. What is s*p(i) + 153*x(i)?\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 395\/3, 0.2, -0.029, -15\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*y + 385, 0 = 2*y - 5*t - 13 - 129. Suppose y + 131 = 4*j. Suppose 3*b - 29 - 13 = 0. Calculate the remainder when j is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 3. Let r be t(-2). Let y(b) = 142 + 66 - 207 + 17*b**3 + b. Give y(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 2*q + 2*q**4 - 7*q + 2*q - q**4 to b*q**3 + p*q + v*q**2 + i*q**4 + n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23199615 and 14985?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12 + g**3 + 11*g**2 + 3*g**2 - 3*g**2 - 2*g. Let t(w) = -2*w - 3. Let z be t(4). Is f(z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -38*h + 93*h - 432 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -298172, -298169, -298162, -298151, -298136?\n\"Answer: 2*w**2 - 3*w - 298171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86.00191 + -223.9965. Let s = -310 - j. What is s rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 62604, 125173, 187608, 249843, 311812, 373449, 434688, 495463?\n\"Answer: -11*b**3 - b**2 + 62649*b - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.178, -7, 3, -4\/5, -4\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5793*b - 7620 = 5781*b. List the prime factors of b.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = 7. Let q(t) = -t**3 + 4*t**2 - 2*t + 6. Calculate q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09792 + 1.90208. Which is the closest to 2\/7? (a) -33 (b) 9 (c) y (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c9b (base 13) to base 5.\nAnswer: -32111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2002*x + 3*x**2 - 5 + 2*x**3 + 2*x**3 - 2001*x as r*x**2 + u*x**3 + s*x + k and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*w - 2 + 1103*w - 152*w)*(3 + 7 - 3) to m + j*w and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/362 and 41\/217?\nAnswer: 78554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.4. Let m = -401.3 + 398.3. Which is the third smallest value? (a) z (b) 9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.38 from -3792.821.\nAnswer: -3792.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 415, 1\/3, -1\/8, 3\/2 in descending order.\nAnswer: 415, 3\/2, 1\/3, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -2234, 4?\nAnswer: -2234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 - 127\nAnswer: -127.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*x + 1028401 - 4954977 = 0, -l + 4*x = -1963332. Round l to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11 - 1 = 0. Suppose 4*d - s + 23 = u*d, 5*s + 39 = d. Calculate the lowest common multiple of d and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3453038, 4, 1, -3 in descending order.\nAnswer: 3453038, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5031271 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -39*a + 21. Let n(h) be the third derivative of -h**4\/6 + h**3\/3 - 7*h**2 + 3*h. Give 21*n(v) - 2*r(v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 205, 66, -4, 1488 in descending order.\nAnswer: 1488, 205, 66, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*s + 0 + 15*s - 1)*(-2 + 2 + 9*s)*(2 + 1 + 3).\nAnswer: 108*s**2 - 54*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18655.3019 + -18669.3. Let z = -3 - 11. Let m = c - z. What is m rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + 53502?\nAnswer: 53355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37247, -37249, -37251, -37253?\nAnswer: -37255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(21)\/(sqrt(3) - (-1*sqrt(108) + sqrt(3))).\nAnswer: -1 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -34*t**3 - 4*t**2 - 2*t + 7. Let s(u) = 33*u**3 + 4*u**2 + 3*u - 7. Let b(m) = 2*s(m) + 3*z(m). What is the first derivative of b(a) wrt a?\nAnswer: -108*a**2 - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2749513.\nAnswer: 13, 211501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186334, 372638, 558936, 745228, 931514, 1117794?\nAnswer: 1304068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 26\/7, -44065, -1 in descending order.\nAnswer: 10, 26\/7, -1, -3, -44065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (12 - 1)\/(-11)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 288300\/137?\nAnswer: 288300\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2. Let q = -1 - -3. Let c(f) = -f. Let d(z) = -z**2 - z. Let u(b) = q*c(b) - 2*d(b). Determine v(u(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let j be b(0). Suppose j = -5*i + 1 - 6. Let p = 0 - i. Let a(t) = -4*t**2 - t. Give a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397 times 581?\nAnswer: -811657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28636 - -4553212\/159. Let k = -13367\/3180 + s. What is the common denominator of 100\/(-120)*(-219)\/25 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 = -0*p. Let y = p + 2. Which is the closest to y? (a) 0.5 (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 607 (b) 4 (c) -4\/803\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*r + 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((r - 5*r + 2*r)*(-5 - 9 + 3) + 82 + 81 - 162 + 15*r)*(-2 + 6 - 2) + 10*r - 21*r + 12*r in the form g*r + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -18112 divided by -8\nAnswer: 2264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5280989154?\nAnswer: 2, 3, 7, 6173, 20369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139883376.7 rounded to the nearest 10000?\nAnswer: 139880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/2 (b) 87 (c) 0 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26820981 divided by -2980109?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*r - 15 = -3, 5*s - r + 87 = 0. Let p = s - -24. Calculate the remainder when 41 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/282490 and 127\/2460.\nAnswer: 1694940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 6) in base 3?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -804 - -822. Suppose 3*o = 6*o - 222. Calculate the smallest common multiple of t and o.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229416 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: Simplify -3*(1 + -4*(0 + -4 + 0 + sqrt(192)) + 2)**2.\nAnswer: -10299 + 3648*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 10) in base 8?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 255115 and 4995.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2 + 3. Let h(n) = -n**2 - n. Let m(z) = -3*z**2 - 6*z + 1. Let j(u) = -6*h(u) + m(u). Let a be j(1). Solve a*f + q + 7 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**2 + 140*o - 7. Is x(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 2*t - 2. Let d(x) = -100*x**3 - 5*x**2 + 5*x + 5. Let v(l) = -d(l) - 3*w(l). What is v(1)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*y - 1062*y + 1204*y - 505*y = -37336 for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -5, 2 in ascending order.\nAnswer: -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pl when two letters picked without replacement from {l: 11, p: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2543170, 0, -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**4\/12 + k**3\/6 + 5*k - 1. Let q(a) be the first derivative of h(a). Solve q(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 2:13 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(-38)*(i**(1\/2)\/i)\/i**(-1\/5) assuming i is positive.\nAnswer: i**(-383\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -217? (a) -1\/11 (b) -14 (c) 1 (d) 3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 32. Let a(f) = 4*f**3 - 6*f**2 + 3*f. Let o(c) = -c**3 + 2*c**2 - c. Determine w*o(x) + 2*a(x).\nAnswer: x**3 + 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 - 3*f**4 + 8*f**4)*(-2082 + 2082 - 68*f).\nAnswer: -340*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202959, 410743, 618529, 826317, 1034107, 1241899?\nAnswer: 1449693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-191)\/(-1) - (3 - 0). Suppose 0 = 5*a - 4*w - b, a - 68 = -a + 4*w. What is the units digit of ((-10)\/a)\/(2\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -0*z - 3*z + 20, 3*z = -5*k - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 20. Is 1\/10 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3066412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 5*m + 2*m)*(m + 1 - 1 + (4 - 6 + 4)*(-2*m + 3*m + 2*m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -707835 or -707446?\nAnswer: -707835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 25*o**2 + 136*o + 180.\nAnswer: (o + 2)*(o + 5)*(o + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(192))*3 + sqrt(192))**2.\nAnswer: 384*sqrt(3) + 3108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 8}. Give prob of picking 2 c and 2 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -bb?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 9*i - 13. Let b be g(-10). Let p = 7 + b. Let q(d) = 3*d - 7. List the prime factors of q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -20. Let x = q - 36. Let f(y) = 39*y. Let m(j) = -5*j + j - 4*j. Calculate x*f(l) - 24*m(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**5 + t**3 - 3*t**5 + t**3 + (-4*t + 3*t - 5*t)*(t**4 + 4*t**2 - 4*t**2))*(-4 + 3 + 0).\nAnswer: 7*t**5 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2814 and 83\/6372102.\nAnswer: 44604714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41372*t**3 + 82684*t**2 - 41252*t - 60.\nAnswer: -4*(t - 1)**2*(10343*t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 4*x + 5. What is s(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 41093 - 11.15\nAnswer: 41081.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -9\/163 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 15501404?\nAnswer: -15501423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3957, 8288, 12619, 16950, 21281, 25612?\n\"Answer: 4331*v - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125\/14 - -389\/42. Which is the nearest to 0.8? (a) -1 (b) d (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4\/7 - 35295888*x**3 - 6782687390770254*x**2\/7 - 62066923078732601728920*x\/7 - 62066916296045458029879\/7 = 0. What is x?\nAnswer: -27452357, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113\/14 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 0*s - 2\/21*s**3 - 2\/35*s**5 - 6 - 1\/7*s**4 + 0*s**2. Factor d(o).\nAnswer: -2*o**2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.172 + -848.3?\nAnswer: -648.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 j when three letters picked without replacement from {i: 6, j: 1, b: 4, r: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 232537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 172. Let c = v - -165.1. What is the nearest to -5 in -2\/7, c, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 2 = 0. Factor 4*w**2 - 4*w**2 + 2*w - 2*w**a.\nAnswer: -2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 76*d**2 + 153*d + 1127. What is the units digit of h(-53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223 * 0.6\nAnswer: -133.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t + 10. Let s(u) = 11 + 1652*u - 3595*u + 1947*u. Determine -3*f(h) + 2*s(h).\nAnswer: -h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 120*q + 123*q - 245*q = -22 - 0, 0 = -4*j - 4*q + 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5399.516 millilitres to litres.\nAnswer: 5.399516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*(sqrt(2057) + -1*sqrt(2057)) + sqrt(2057) + 1 + (sqrt(2057) - (sqrt(2057) + 1))))**2*-1*5.\nAnswer: -257125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {l: 11, g: 1, d: 8}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.218193 millilitres?\nAnswer: 0.006218193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwwllgrwdlw. What is prob of sequence grll?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264 by -727230.\nAnswer: 44\/121205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4)*-3 + (sqrt(114) + (1*sqrt(114) - sqrt(114)))\/sqrt(6))*2.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6316 or -6317?\nAnswer: -6317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6 = -8. Let j = c - -2. Calculate the remainder when 6 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h - 282 = -3*z, z = 5*h + 110. Let x = -1058 + 678. Let t = z + x. Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7795*u = 7788*u + 77 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, v: 1, c: 4, i: 1, t: 7}. Give prob of sequence qt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 6 = 15*q. What is the tens digit of (1\/q)\/((-3)\/(-186))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2594 - -3420. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*l - 34483 + 42719 = 0 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496492905?\nAnswer: 3, 5, 17, 29, 67139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 4*p + 2. Let l be f(-4). Suppose 4*o - l*o - 16 = 0. Suppose -16 = -0*a - 2*a. Calculate the highest common divisor of a and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - (-66)\/10)\/(12\/40). Let t(i) = i + 7. Is t(f) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 2*m**3 + 2*m**3)*(-9218*m + 1728*m - 15756*m).\nAnswer: -23246*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -222*p - 1974. Calculate the remainder when 1439 is divided by i(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31233213 - -32?\nAnswer: -31233121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen halves of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:30 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1702*b**2 + 2. Let k(z) = -567*z**2 + 1. What is 11*k(g) - 4*o(g)?\nAnswer: 571*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1803446*h**2 + 7356*h - 99306. Let u(f) = -2452*f**2 + 10*f - 135. Let z(y) = -3678*u(y) + 5*v(y). Let b(x) = -2*x**2. Give z(b(q)).\nAnswer: 4904*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 486043?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 22 = 5*m. Let w = -18 + m. Solve 2*j - h + 5*h + w = 0, 0 = -j - 5*h - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/((-4)\/(-6)*(-6)\/7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*1*sqrt(132) - -2*(sqrt(132) + (-1*sqrt(132) - sqrt(132)) + sqrt(132)))\/(1*4*sqrt(768)).\nAnswer: -4 - sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*2595\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -118, -123, -130, -139, -150, -163?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from {e: 2, m: 1, h: 6, y: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2729*a**2 + 3. Let c(l) = -5446*l**2 + 5. Calculate -3*c(w) + 5*h(w).\nAnswer: 2693*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1971648 divided by -63?\nAnswer: 31296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 773700 a multiple of 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 790*s - 957. What is the hundreds digit of d(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/11)\/z**36)**26 assuming z is positive.\nAnswer: z**(-10140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9350 divided by -25?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -r + 18. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 272 - 253 = 2*j, 4*r = 3*j + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/1 + (-1)\/(4\/(-6984)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzllzzzzllzzzzz. What is prob of sequence llzz?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121183500 by 80789.\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0679501 years in millennia?\nAnswer: 0.0000679501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/3)*w)*w**(-4\/3)\/w)**43 assuming w is positive.\nAnswer: w**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = b - 14, 34*b + 5*j + 20 = 39*b. Suppose b = 3*h + 5*i - 8*i, 0 = i - 2. Solve 3*m = h*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.2 - 3. Let n = d + -0.2. Let l = n + 1. What is the nearest to 0.2 in l, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(2\/53)*i)*i**(2\/13)*i)**(-5\/2) assuming i is positive.\nAnswer: i**(-3845\/1378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 41*q + 8. List the prime factors of i(5).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 202\/5 in 5, 14523, 3\/5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11)\/(385\/(-42)) - 38547\/(-15) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -17, 4, -230 in descending order.\nAnswer: 4, -2, -4, -17, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1503833 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1211 + -1207. Let s(j) = -j**3 + 20*j**2 - 50*j - 22. Let u be s(17). Which is the fourth smallest value? (a) u (b) k (c) -7 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 165*y - 1807. Give v(12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**4\/4 + 2*m**3\/3 - m + 2. Let z be v(-1). Suppose z = -0*c + 2*c - 12. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*s\/s**7*s**(-1)*s*(s*s\/(s**(-2\/5)\/s))**(-13) assuming s is positive.\nAnswer: s**(-241\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -247, -215, -131, 23, 265, 613, 1085?\nAnswer: 1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 737900000 to the nearest 1000000.\nAnswer: 738000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*u. Suppose u = -0*o + 2*o - 6. Find l such that 6*l**o - l**2 - 2 + 2 - 2*l - 5*l**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - x = 4*f - 9, 15 = -5*x. Suppose -7*y + 67 = -3. Let q(l) = -f*l + 23*l - y*l. Let z(u) = 2*u**2. Determine z(q(s)).\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2753\/2 + 1347. Let o = y - -29. Let c = 0.3 - 0.5. Is o equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 7, v: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 8*l**2 - 5*l - 7. Determine y(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g\/(g*g*g*g**(-41)\/g))\/g))\/(g\/(g*g**(-46)\/g))*g**(7\/12)*g**(-2\/125) assuming g is positive.\nAnswer: g**(-126649\/1500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*161.27\nAnswer: 322.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(6)*-2 + 6*(sqrt(7) + 0).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 8*z - 4*z - z + z. Let h be ((-3)\/4)\/((-2)\/16). Let p(a) = a**3 - 3*a. Calculate h*y(r) + 4*p(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -5. Let u be 9\/6 - (s + 1). What is the second biggest value in u, 0.5, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 112 + 2156*w**3 + 120 - 230 in the form u + p*w + z*w**3 + x*w**2 and give z.\nAnswer: 2156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5732*b**2*p**2*y**2 - 3*b**2*p*y**2 - 63*b*y**3 + 1566*p**2*y**3 + 1215*y wrt p.\nAnswer: -11464*b**2*y**2 + 3132*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*p = 27, 3*p + 21 = 2*k + 2*p. Solve 0 = x - 4*x - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 730 = 80. Let g(z) = z**2 - 6*z + 3. Let r be g(6). Suppose -3*f + 66 = -f - r*o, 0 = -4*o. Calculate the remainder when w is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/(-10) + ((-138)\/(-30) - 5) + 7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2125*h**3 - h + 2131*h**3 + 2123*h**3 + 4*h**2 - 170 - 6336*h**3 - 6*h**2 to a*h**3 + w + t*h + j*h**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 5*u + 22. What is k(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**4\/12 + t**3 + t**2 + 11*t. Determine b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(1\/(123\/3)). Let j be 28*(0 - 6\/(-4)). Let f = j + i. Solve r = k + f, 4*k = k - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 235.3 + -235. Which is the closest to 0.1? (a) -0.2 (b) y (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6904 and 39433922.\nAnswer: 1726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37\/((-740)\/(-240))*(-2)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4552761 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 16*z**2 - 19*z + 21. Calculate g(15).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n + 377. Let z be 4\/(-1)*(-7 + n\/52). Let d = 7.3 - 7. Sort z, d, 7 in descending order.\nAnswer: 7, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t. Suppose -18 = -6*s - t. Factor -5*w**4 - 2538*w**3 + 5*w + 2533*w**s + 6*w**2 - w**2.\nAnswer: -5*w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 4*b**2 - 8*b + 1. Let y be f(-6). Let s = y - -90. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m - 17 - 157 = 0. What is the remainder when 106 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56246085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 9:40 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 2*c - 3. What is u(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 408\/165 + 1\/(-5). Let j = l - -995\/22. Let g = 159\/55 + -8123\/660. Calculate the common denominator of g and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-264)\/(-4)*(-2)\/(-4). Let u be (3 + l\/(-12))*68. What is the second derivative of -4*s**5 + 34*s**2 + 21*s - u*s**2 - 17*s**2 wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000202211 (base 5) to base 6.\nAnswer: 110000333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z + 95 = -185 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 13. Let d = n - -13. What is the second derivative of -2*q**4 + 8*q**d - 3*q + 3*q**4 - 3*q**4 wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 2*v**4\/9 - 25*v**3\/18 + v**2\/2 + 110*v - 3. Factor b(x).\nAnswer: (x - 3)*(8*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-68)\/(-51))\/((-11)\/((-66)\/(-68))). What is the fourth smallest value in 2\/699, p, -5, -1\/4?\nAnswer: 2\/699","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1055 (base 13) in base 7?\nAnswer: -6416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7 + -2 - 2) + 3. Suppose -5*h - o + 35 = -x*o, 4*h = o + 22. Find the second derivative of -5*t**4 + h*t**4 + 2*t - 3*t**4 wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55605373 - -500170331434\/8995. Let v = 2\/1285 - r. What is the closest to 39 in -0.5, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 63*v**2 + 24*v - 146. What is the hundreds digit of q(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*s**2 + 6*s**2 - 11*s**2 + (3 - 3 - 2*s)*(-s + 2*s - 3*s) + (-2*s + 3*s**2 + 2*s)*(8 + 1 - 2) to the form w*s + z + u*s**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = m + 96 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152424 and 3222804?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + (sqrt(18) + 0)*1 + sqrt(18)*-1 + -3)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112723317 and 100198504?\nAnswer: 901786536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5000197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 413456 divided by -4?\nAnswer: -103364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 0 + 0)*(3*j - 5*j + 10*j) + 120 + 3*j**2 + 131 - 249 + 55*j to the form t + y*j + m*j**2 and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - 62c0?\nAnswer: -62d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 32484704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/60 + 5*l**4\/12 + 7*l**3\/6 + 3*l**2 + 15*l. What is i(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 103 = -3*q - 0*q, 19 = 1995*q - 1994*q - 8*t for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q. Let j be ((-60)\/(-175))\/((-1)\/10). Let i = j - -26\/7. Which is the closest to q? (a) i (b) 0.2 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 + 189. What is the remainder when x is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b63ca5 (base 13) to base 7\nAnswer: 51150326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31819361.\nAnswer: 7, 31, 331, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48\/5 + -177\/20. Let q(n) be the third derivative of -9\/20*n**6 - j*n**4 + 9\/10*n**5 + 0*n + 0 + 1\/3*n**3 - 2*n**2. Factor q(x).\nAnswer: -2*(3*x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/45)\/(712\/4628)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.049 - -0.049151. What is l rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 7*g + 850. Give u(31).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57815 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/((-259)\/126))\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**3\/3 + 4*f**2 - 8*f - 2. Let t be l(6). Let o be 2\/(-6)*15\/(-1). Solve o*q - 6 = -t*u, -5*u + 21 = -2*q - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*y**4 - 2823*y**5 - 14*y**4 + 8687*y**5 + (y**3 - y**3 + y**5)*(2 - 3 + 0).\nAnswer: 5863*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 8*o**2 - 9*o. Let x(a) = -a**3 + 9*a**2 + 10*a - 1. Let q(r) = -5*g(r) - 4*x(r). Give q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -14, -21, -30, -41, -54?\n\"Answer: -v**2 - 2*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(320)*2 - ((sqrt(5) - (-5 + sqrt(5))) + 2)) + 3)*3)**2.\nAnswer: -67392*sqrt(5) + 428409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 21\/(-9))*15. Suppose -15 = -f + v*s, 2*f - 7*s + 6*s - 3 = 0. Solve f = r + 2 - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1716153, 3432308, 5148463, 6864618, 8580773?\nAnswer: 10296928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*p + 28*p - 3. Let x(d) be the first derivative of 0*d - 1\/5*d**2 - p - 2\/15*d**3. Find h, given that x(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -6 (c) 0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2214 divided by -41\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, 769.26, 53?\nAnswer: 769.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 602\/10 - 3\/15. Suppose -4*y + 7*v - 3*v = -u, 2*y - 4*v = 24. Calculate the lowest common multiple of 269\/5 - 2\/(-10) and y.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5182702 + 5182736.99921. Let f = g + -35. Round f to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buuxgxtxlguxgx. What is prob of picking 1 u and 2 g?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-392)\/(-2240)*4\/(-7).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 32*n**2 - 20*n**3 + 51*n**3 - 22*n**3 - n**4 + 32*n**2 as g*n**2 + w*n + b + d*n**3 + x*n**4 and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*r + 102 = -1254. Let m(h) be the first derivative of h**2\/2 - 1. Let z(w) = 7*w**3 - 4*w. What is r*m(u) - z(u)?\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 16*b + 33. Let z be a(-14). Let c(d) = 17*d**3 + 5*d**2 + 5. Let u(w) = -60*w**3 - 18*w**2 - 18. Calculate z*u(k) + 18*c(k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-2 + 13) - -10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkyy when four letters picked without replacement from yyybykqyybyqkbky?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1 + 241 + -252 + (107 - (1 - 3))\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -537 in ascending order.\nAnswer: -537, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 20 = 3*b. Let i(x) = -x**3 - 3*x**2 - 8*x - 8. What is the least common multiple of i(-2) and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-11 + 16)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.3 from -67310.9.\nAnswer: -67313.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 411, 412, 413?\n\"Answer: k + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**3\/2 - 3*y**2 - 7*y\/2 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11378, -22754, -34130, -45506, -56882?\nAnswer: -68258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 0 + 6 + 0.\nAnswer: -2*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*x**2 - 119*x**2 + 351*x**2 - 116*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-84)*24*(-2)\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 434\/105 + ((-4)\/(-15))\/(-2). Suppose -56*g + s = 4*p - 52*g, 0 = 5*p + 4*g - 6. Solve 3*n = 2*c + 8, p*n + n = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzrzbvrzr. Give prob of sequence bzb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.5 - -6.4. Let m = -2.049 + 0.049. Which is the smallest value? (a) 19 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3362 by -4.\nAnswer: 1681\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + j**4 - j**4)*(15 + 39 - 4) + (-3 - 2 + 4)*(j - 6*j + 3*j)*(2*j**3 + 0*j**3 + 0*j**3).\nAnswer: 54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 942 + -566. Calculate the highest common divisor of 1598 and x.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2))\/b*b**(-1\/4)*b*(b**(5\/6)*b)\/b*b**7 assuming b is positive.\nAnswer: b**(79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45.88361 millilitres?\nAnswer: 0.04588361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 206*u**3 + 18*u**4 - 139*u**3 + 3*u - 3*u - 8*u - 71 wrt u?\nAnswer: 216*u**2 + 402*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2529 - 2327. List the prime factors of t.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*b - y, -5*y = -11 - 4. Suppose 5 = d + b*k - 5, -2*d - k = -2. Solve d = u - 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 divided by 25?\nAnswer: -206\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0.5, -3, -5, 1\/7 in increasing order.\nAnswer: -11, -5, -3, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/18)\/((-21)\/(-7))*4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2655 and -0.5?\nAnswer: -1327.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-2)\/8)\/(-1*3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 1. Let u be (-15)\/(-18) + (-3)\/(-18). Let m(x) = x**2 - 3*x. Let l be m(u). What is k(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 49.465?\nAnswer: 9.893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 882 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -22*k + 33. Let c be x(-23). Let v = c + 492. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 855 and 24.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -117*63\/3402*30\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000015 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + d)*(-1 + 2 + 2) - 2*d - 2 + 2.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-1420.83\nAnswer: -1420.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 57*w + 92. Let c be x(5). Suppose 3*t + d = c, 3*t - t = d + 258. What is the remainder when t is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*k + 8825 - 8825 + (-k + 2*k + k)*(-3 + 33 - 4) to o*k + f and give o.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26277238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 213177013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1302040171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 805608 divided by -67.\nAnswer: -12024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -23. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.474574125 rounded to three dps?\nAnswer: -1.475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-380))\/(3\/(-510))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -0.3, 101\/4, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75011 is divided by 18736.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26.6458 and 0.4.\nAnswer: 10.65832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.040851234 rounded to 4 decimal places?\nAnswer: -6.0409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6122 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/14, 4, -0.2, 1\/8 in increasing order.\nAnswer: -0.2, 1\/8, 3\/14, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -49. Let x = 32.54 + z. Let h = -0.06 - x. Which is the third biggest value? (a) h (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 82, 161, 254, 355, 458, 557?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.34 + -0.66. Let p = 29.4 + s. Let n = -4 - p. Which is the smallest value? (a) -0.1 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1451 + 1466. Solve -c = -m + 3*o, 3*m - 25 = m + 5*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*u + 16, 2*k + 5 = 3*k. Let i = 2 - u. Suppose 0 = -0*y - i*y + 12. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5\/11 (b) 6\/41 (c) 2\/7 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.034 - 0.09. Let t = a - -57.056. Let d = -57.0063 + t. Round d to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*u**5 - 143*u**4 + 143*u**4 + 2*u**5 - 3*u**3 + 3*u**3 + 2 - 2 - u**5 + (-2*u - 2*u + 2*u)*(2*u**4 - 3*u**4 - u**4) - 9*u**2 + 15*u**5 + 9*u**2.\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1459\/15492 + 14\/1291. Put -3, 0.4, -0.02, b, -1.1 in increasing order.\nAnswer: -3, -1.1, b, -0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 5*z**2 + z - 19. Let i be (-46)\/(-8) + 25\/20 + -1. Let g be u(i). Suppose -x + 4*x - g = 5*a, 8 = -2*a. Solve -y - x = -0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9842162 - 1822*h - 9842162 + 1793*h.\nAnswer: -29*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5 + 32768*r**4 + 134217722*r**3 - 98300*r**2 - 402587648*r + 268435456 = 0. What is r?\nAnswer: -8192, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 - -291. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 11:09 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 79 = -17. What is the greatest common factor of o and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2345 = -173*k - 2845 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 400 - 1?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 41 = 55 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15 + (-265)\/15)*-3. Let j = 1 + 1. Are x and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 13*m - 81. Let a = m - 3. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b5382 - -1a?\nAnswer: -1b5368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.15 and -12766.\nAnswer: -12765.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -13*s**3 + 20*s**2 - 17*s - 7. Let l be c(-7). Suppose 7*n - 20*n + l = 0. Calculate the greatest common factor of n and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/45 - (-122)\/5. Let y be (-2)\/4 + 60\/b. Suppose u - 28 = 4*n - y*n, -4*u = -4*n - 132. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.4 - 37. Let x = 0.04 - 3.64. Let d = x - c. Put 0, d, -0.3 in ascending order.\nAnswer: -0.3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Suppose -2*n = g*a - 4, 3*n - 1 = -13. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109\/4 + -28. Which is the closest to 2\/5? (a) 0.5 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a millennium?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11542*m*z**2 + 2*m*z - 6*m - 276*z + 2 wrt z?\nAnswer: 23084*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + -57. Let i = f - -729\/8. What is the common denominator of i and (-486)\/160 - (-4)\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 2*w**2 - 3*w + w**2 + 2 + w**3. Suppose 15 = -2*q + 21. Suppose 39*u - 40*u = q. What is d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 63. Let h be v(20). What are the prime factors of 18\/12*(86\/h - 0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 9, 22, 43?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 210\/49 + 4\/(-14). Suppose 12 = -j*s + 8*s. Let i be 114\/3 - 1 - s. Calculate the greatest common factor of 238 and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3149 - -3159. Solve -2*f - x = n + f, 0 = 3*n + 3*f + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/120 - 3\/24\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 - 4*s + 13. Let p = 22 + -15. Let b(r) be the second derivative of 1\/12*r**4 - 1 + 2*r**2 - 1\/6*r**3 - 14*r. What is p*b(z) - 2*q(z)?\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029745657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + j + 6 + 6 = 0, -5*j = 3*p + 6. Solve -5*i - p*l - 4 = -1, -4*l = -4*i - 28 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 12, -39*p + 42*p - k = 2925. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 2*x + 1 + 4 + 13.\nAnswer: -5*x**2 - 2*x + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**2 - b - 25 + 2*b**2 + 24. Let v(f) = 4*f + 7*f**2 - 2*f**2 + 6 - 2. Calculate 4*d(x) + v(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-151767)\/(-14454)*18\/(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 6*b - 2416 = 0. Let c = b - 603\/4. What is the smallest value in 1, 4, 11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:35 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 485 + -483. Calculate the smallest common multiple of n and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 4*f + 2. Let a(x) = 2*x**2 + 5*x + 2. Let l = 5 - 16. Let t = l - -6. Give t*a(y) + 6*j(y).\nAnswer: 2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/29, 3, 1.7, -5\/8, -2 in increasing order.\nAnswer: -2, -5\/8, 4\/29, 1, 1.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4088.4 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4400*a - 4267. Give f(1).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 - -8 - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152235, -152218, -152201, -152184, -152167?\nAnswer: -152150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 32*b**2 + 16*b - 102. Let s(r) = -3*r**2 - r + 10. Let j(y) = -2*g(y) - 22*s(y). Give j(9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 11:36 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z + 231. Let n = 117 + z. Suppose 9*r + 80 = 14*r. Calculate the highest common divisor of r and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a30 (base 11) to base 12.\nAnswer: 15a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111231*r - 496520 with respect to r.\nAnswer: 111231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1144\/132)\/(-1*((-15)\/5)\/(-9))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*a + 11 = 2*a, g = 4*a + 22. What is the third derivative of n**2 - 3*n**4 - 3*n**4 + 5*n**4 + 4*n**g wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 10 = -22*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38706198 is divided by 532?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/((-468)\/3))\/(7\/(-42))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 507240161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 35 = 2*m, -4*k - 4*m + 29 = -3*k. Let g(d) = d**3 + 5*d - 1. What is the remainder when k is divided by g(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209 + -134. Does 25 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 447\/2235*(-5)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 4*c = w + 334, -3*w = 2*c - 200. Is 8 a factor of (w\/55)\/(3\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-1)\/(-4)*(-88)\/(-231).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 53 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/(2\/(-90)). Let i(q) = 2*q**2 + 30*q. Let k be i(r). Solve -3*x + 3 = k, -x - 2*x - 9 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3560375 (base 8) to base 4\nAnswer: 3232003331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 16*s + 12*s + 40, -5*s + 5 = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6725*n + 33062. Calculate c(5).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 11*x**2 - 13*x + 13. Let u be g(-10). Let c be (u\/7 - -1) + 2*-1. Factor c*p**2 - 120\/7*p - 120\/7*p**3 + 18\/7 + 18\/7*p**4.\nAnswer: 2*(p - 3)**2*(3*p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k - 3. Let t be l(-1). Which is the fourth smallest value? (a) 14 (b) t (c) 4\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 41 = 5*c, -3*c - 4*l = -0*c + 43. Is -3 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-207.71219.\nAnswer: -623.13657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - j - 30, 3*q - 45 = -4*j + 10. Suppose 34 - q = w. What is the remainder when 34 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -17*x**2. Let u = -32 - -38. Let p(y) = u*y + 0*y - 8*y. Give m(p(j)).\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67686 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 - 27 = 0. Let j = 4 + l. Let f(h) = h**3 + 10*h**2 + 10. Is f(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 12*k = 517 - 472 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 319 + 289. What is the highest common divisor of 16 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20904 divided by 312?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7424 is divided by 244?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - u**2 - 2*u**2)*(2 - 275*u**3 - 116*u**3 - 2).\nAnswer: -782*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3935 = 4870. Let o = -3061 + r. Round o to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3658329163?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z - 13. Suppose 3*b = 16 + 2. Let y(a) = a**2 - 8*a + 4. Let g be y(b). Is 17 a factor of d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u**2 - 206*u - 1. Let t(n) = -25*n. Calculate t(y(r)).\nAnswer: 150*r**2 + 5150*r + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-4) - 30\/(-2). Suppose 2*y + 3*y = r. Solve -y*o - 2 = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + 0 - (5 + -4))*253?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 35134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = 3. Let j = -2811\/1474 - -76\/67. Find the common denominator of (-606)\/(-36) - (3 + s) and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 168b9c (base 14) to base 3\nAnswer: 1111021012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 240 = -2*t. Let u = 144 - t. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(11) + 1.\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(-4)\/10 - (1 + 0). Is k - -117 - (3 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*i - 72, 4*b + 4*i - 1 = -57. Which is smaller: -15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.923.\nAnswer: -0.923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(-15*a - 98 + 98)*(0 + 0 - 1).\nAnswer: -45*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/3568 and 61\/136?\nAnswer: 60656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2143, -3\/8, 0.1?\nAnswer: -2143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 0. Let z be (-16)\/6 - (k + -7). What is the closest to z in 0, 0.5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -395.93+618722\nAnswer: 618326.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 171146 and 0.4322147?\nAnswer: 171145.5677853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0098 - 3.8998. Let o = 0.11 - i. What is the third biggest value in 3, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1611 + 3556. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*n - 3*u, 4*n - 4*u + 5 + 3 = 0. Let t be 4\/(-6) + 14\/(-6). Let k be (-2)\/(-6) - (-1)\/t. Sort -4, k, n in decreasing order.\nAnswer: n, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -3, -11, -11, 3, 37?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 209876 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198092, 792363, 1782834, 3169523, 4952448, 7131627, 9707078, 12678819?\nAnswer: 16046868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {x: 8, o: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 2:20 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3241 - -11415?\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 59, 36, 13?\n\"Answer: -23*z + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*m = -0*z - 59582, -99297 = -5*z + 2*m. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**7\/1960 + p**6\/56 + 13*p**5\/140 - p**3\/3 + p**2 + p + 146. Let g(x) be the second derivative of r(x). Factor g(k).\nAnswer: 3*k*(k + 2)*(k + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2578965*p + 9118187?\nAnswer: 2578965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**3\/3 + 5*y**2\/2 + 6*y + 1. Let j be (-1)\/(3 - (-44)\/(-14)). Suppose 5*v + 5 = 0, j = 2*z + 3*v - 0*v. Determine q(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 12*k**2 - 12*k + 15. Let v be l(-13). Suppose -v*h - 3 = -17. Let m = h + 0. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103 * -2417.\nAnswer: 248951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 142255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 2 (c) -5\/6 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7453140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + o. Let d be y(-1). Suppose 4*a = i - 18399992, 0*a + 18400004 = i + d*a. Round i to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1046 + -7319\/7. What is the third smallest value in 0.2, -1\/4, w, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265351695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1642947ml in litres?\nAnswer: 0.0001642947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l. Suppose -4*x - 2*f + 12 = -x, -4*x + f + 5 = l. Solve 2*r + r = x*w - 11, w = 4*r + 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48225 (base 10) to base 6.\nAnswer: 1011133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -3 - -8) + 1. Suppose -a*z + 3 = -8*z. Let n(u) = 4*u - 4. Let r(y) = -3*y + 3. Let b(j) = z*r(j) + 2*n(j). Determine b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/207 and 109\/156?\nAnswer: 10764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 1:49 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -72, -76, -82, -90, -100, -112, -126?\n\"Answer: -m**2 - m - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1826, -7264, -16320, -28988, -45262, -65136, -88604?\n\"Answer: q**3 - 1815*q**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 52 - -478524?\nAnswer: 478576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -15*k + 4. Let g be x(4). What is the units digit of 4 - ((-4 - 0) + g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3 + 3479012*u**2 - 6958038*u - 10437048 = 0.\nAnswer: -1739508, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 - 6*x + 4. Let j(l) = l - 1. Let g(w) = -2*w**2 + 36*w - 4. Let q = 85 + -67. Let m be g(q). Calculate m*j(y) - s(y).\nAnswer: 3*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0, -3, 5, 4, -47\/12 in descending order.\nAnswer: 5, 4, 2\/9, 0, -3, -47\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34208562.\nAnswer: 2, 3, 31, 183917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*j - 12, 9 = j - f + 2*f. Suppose 4*x + 11 - j = 0. Let a(y) be the second derivative of -y**5\/5 + y**3\/3 + y**2\/2 + 20*y. What is a(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34345108470 take away 31.353?\nAnswer: -34345108501.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25427, -25398, -25349, -25280?\n\"Answer: 10*r**2 - r - 25436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.318117 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/3)\/j)\/j)\/(j**5\/j)*(j*j**1)**(-23)*j\/j**(4\/5)*j*j\/(j\/(j\/(j*j**(1\/5))))*(((j*j**(4\/5))\/j)\/j)\/j**(5\/3) assuming j is positive.\nAnswer: j**(-788\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183776 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000598467 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (19 - (37 - 3)) - (-1 - 39)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*k + 2*y - 16, -5*k + 15 = 5*y. Which is the closest to 2\/5? (a) 3 (b) k (c) -6 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 5\/2 (c) -5\/11 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five halves of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 11*n**2 - 50*n - 550. Let x be h(-11). Solve x = -4*b - 2*c + 8, 5*c = 22 - 32 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11. Let s(p) = p. Let m(o) = h(o) - 5*s(o). Let g be m(6). Is -19 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 10*a**2\/9 + 376*a\/9 - 152\/9 = 0?\nAnswer: -38, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101011 + 10?\nAnswer: -10100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(160))\/(2*sqrt(8)*5).\nAnswer: -4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 - 0 - (13 + -11). Let f(w) = -w**3 + 8*w**2 + 10*w - 9. Let b be f(h). Solve b = -2*p + 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from iychhhyiiya.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.522251 to three dps.\nAnswer: 0.522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-8)*2\/(-24). Let w = 400999\/3951 - -125\/439. Let g = w - 102. What is the nearest to -2 in 3, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 69548 = 4*n + 4546, -z - 81248 = -5*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(153) + -3 + (sqrt(17) + ((sqrt(85)\/sqrt(5))**2 + sqrt(17) + sqrt(17) - sqrt(17)) - sqrt(17)).\nAnswer: 14 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:24 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593604501.\nAnswer: 3, 7, 47, 601423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 + 4 = -3*k, -3*k + 8 = 4*c. Suppose -4*j + 0 = c*f - 2, -f - 4*j = -1. Let w = f + 5. Calculate the remainder when 21 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 10 = 5*t. Let v = t + -5. Let r(y) = 3*y + 3. Is r(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -2)\/(-1 + -1). Are -1\/7 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 + c**2)*(4 - 3 - 2)*(11*c - 21*c - 46*c).\nAnswer: 56*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 120202 (base 3) to base 16\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -245 + 538. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x**2 - 4*x + 3. Let j(p) = p**2 + p. Determine -4*j(q) - m(q).\nAnswer: 4*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 99. Suppose 8*a = x - 0. Calculate the smallest common multiple of 7 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from {d: 5, a: 11}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (833\/(-357)*7\/(-98))\/(2\/492)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 621180 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 25*d**2 + 68*d - 15. Let y be r(10). What is the highest common factor of 12045 and y?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545.496 rounded to zero decimal places?\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 642754 and 3038.\nAnswer: 4499278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94987, 380505, 856367, 1522573, 2379123, 3426017, 4663255?\n\"Answer: 95172*h**2 + 2*h - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - ((-4 - -7) + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 4 - (0 + -3 + 7). Sort 1, x, 109 in decreasing order.\nAnswer: 109, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/32 - (-3)\/((-168)\/161)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 divided by 3?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 143 = -j. Let l = j + -156. Let o = -40 - l. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1807 - 354 - 1233)*(-j**2 + j**2 + j**2)*(5*j - 2*j - 4*j)*(-j**2 - 2*j + 2*j).\nAnswer: -3394*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.2 (b) -120\/7 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1510 - 1514. Sort -1\/12, -1\/58, -0.3, y in increasing order.\nAnswer: y, -0.3, -1\/12, -1\/58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -47950 and -0.243?\nAnswer: 47949.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 0.7, -5, -2.5, -0.8?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k = i + 48, 2*k - 2*i = 32. Suppose -3*z + 38 = 4*u - 70, 0 = -4*z + k. Calculate the remainder when 70 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cic when three letters picked without replacement from {i: 4, c: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/7)*c*c*c**(-4)*(c\/(c*c**3))\/c**(-2) assuming c is positive.\nAnswer: c**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by 465.\nAnswer: 86\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*n**2 - 4*n**4 + 4*n**4 + 6*n**4 wrt n.\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 25*d**2 + 24*d + 79. What is m(11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 54444270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6*x - x + 3*x - 18*x**2 - 22*x**2.\nAnswer: -40*x**2 + 8*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/665 and -39\/27398.\nAnswer: 136990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, o: 2}. What is prob of sequence opo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -3. Suppose -o - 4*v - 45 = -185, -o + 3*v = -126. What is the highest common divisor of b and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -397 + 8354\/21. Calculate the common denominator of 76\/279 and a.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -28049*x. Let c(b) = 74*b**2. Determine c(i(s)).\nAnswer: 58219233674*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 8. Suppose -2*w + 36 = 2*d, -w - g*w + 3*d = -30. Find the second derivative of -l - l + w*l**3 + 10*l - l wrt l.\nAnswer: 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-370)\/(-296))\/(((10\/52)\/(-1 + 4))\/1).\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7565*p + 1735. Is u(-44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0569*-18.\nAnswer: 1.0242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**5\/4 + 2302*r**4 - 87625*r**3\/2 + 145314*r**2 - 415215*r\/4 = 0.\nAnswer: -9227, 0, 1, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - b = 4*b - 215, 0 = -3*b + 9. Find the third derivative of -44*t**5 - g*t**5 - 27*t**5 + 18*t**5 - 13*t**5 + 3*t + 40*t**2 wrt t.\nAnswer: -6360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/19 in -3\/4, 0.5, -2, 0, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(13\/(-52)*-906). Let b = 238 + -238. Which is greater: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by 31?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0 - -4) + (36 - 38).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 9*g - 14. Let w be m(-11). Suppose 0 = -r + 4*s - 2*s - w, -s + 4 = -r. Factor 0 - 2\/5*i**2 + 2\/5*i**3 + r*i.\nAnswer: 2*i**2*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 955, 1037, 1165, 1333, 1535?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10066418?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2863, 5727, 8591, 11455?\n\"Answer: 2864*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5412 - 4.4434. Round i to 1 dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(35\/(-2))*(-4263)\/(-4872)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034 + -88.\nAnswer: -88.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*t + t - 31*t + 9697312 = 0. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4102*5.\nAnswer: -20510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 217153837.5 to the nearest 100000.\nAnswer: 217200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 249.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*n - n = -2, 2*o + 4 = -2*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1211102?\nAnswer: 1211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmmc when four letters picked without replacement from oojocmocmcccqm?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + -384. Let b = r + 430. Solve b = 5*q + 5, 3*q = l - 1 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*43\/2*1. Let u = j - 20. Suppose -4*t + u - 3 = 0. What is the highest common divisor of 2 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9914?\nAnswer: 2, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 - 10*d - 26. What is the remainder when 863 is divided by j(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8700?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1071, -4287, -9649, -17157, -26811?\n\"Answer: -1073*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3415336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4400)\/(-260) + -21 + 16 + -11.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301314 equal to 301311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*h + 6 + 19*h - 39*h)*(0 - 4 + 3).\nAnswer: -h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 17*x**2 - 4*x + 4. Is 36 a factor of j(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - -4.83. What is the nearest to -1\/4 in p, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 1. Let f be ((-30)\/40)\/(1\/(-8)). Let m(w) = 4*w - 7. Determine f*n(j) + m(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*s + 2*j, -5*j = -3*s - 3*j + 50. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -23. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((19\/(-57))\/(3\/6))\/((-4)\/114). Put 1, -22, r in decreasing order.\nAnswer: r, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -836494316*b*i + 792733233*i wrt b.\nAnswer: -836494316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19749, -19714, -19661, -19590?\nAnswer: -19501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-nine quarters of a micrometer?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**3 - 2*j**2 - 2*j - 5. Let h(s) = s**3 - s**2 + s + 1. Let c(k) = -g(k) - 4*h(k). Let a be (2\/4)\/(1\/(-8)). What is the tens digit of c(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59441, -475673, -1605451, -3805547, -7432733, -12843781?\nAnswer: -20395463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 - 408*h**3 + 14468*h**2 - 201888*h + 834624 = 0. Calculate h.\nAnswer: 7, 23, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 3*f + 6. Determine u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 9. Differentiate k*h**3 - 8 + 14*h**3 - 28*h**3 + 6*h**3 with respect to h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*b + 44*b - 144448. Round b to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10924542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44968 is divided by 196?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*h + 2122, -3*b - h = -6*b + 3168. What is b rounded to the nearest 10?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**3 - c**3 + c**3.\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*v = 2*i + 137*v + 8, -44*i - 16 = -40*i - v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 6:00 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) 0.5 (c) 2\/3 (d) 0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - (-62)\/9)\/(560\/(-60)) and 49\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 169, 251, 333, 415, 497?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 + 25 + (12 - 1) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvlvv. Give prob of picking 1 l and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8453.208 millennia in years?\nAnswer: 8453208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 - 1 = 5*f, -4*f = -2*x + 8. Solve 5*z = -o - 15, 3*o - x*o - 1 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 13) to base 4.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + h + 3*h + 0*h - 3*h + h + (0 + 0 - h)*(2 + 2 - 5) - 2*h + 4*h - 4*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + r**4 - r**4)*(2*r + 0*r - 3*r) + (r**3 + 12 - 12)*(-3*r**2 + 3*r**2 + 5*r**2).\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*u = 56*u + 5490. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j - 2*j - j)*(0 + 0 - j + (-2 + 1 + 6)*(945 - 20*j - 945) + (j + 2*j - 2*j)*(1 + 3 - 2)) as y*j + l + x*j**2 and give x.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 7*m**6\/3 - 6*m**3 - 5. What is the third derivative of t(j) wrt j?\nAnswer: 840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(275) - sqrt(275)) + 1 + sqrt(275)*2 + -4)**2 + ((2*sqrt(121))\/sqrt(11) + 4)**2 + (sqrt(110)\/((-1*sqrt(110) - sqrt(110))\/sqrt(11)))**2.\nAnswer: -24*sqrt(11) + 4667\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 693.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 17*w**8\/48 + 239*w**5\/60 + 3*w**2 + 10. Find the third derivative of r(g) wrt g.\nAnswer: 7140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-1)\/((-1)\/(-6)). Let b = -3 + i. Let a = 4 + b. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*w**2 + 75*w**2 - 2693*w + 3 + 13*w**2 - 1.\nAnswer: 218*w**2 - 2693*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 759453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 1651*p - 8243. Calculate t(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 23*o**4\/4 + 7*o**3\/6 - 2*o**2 - 252*o. Is n(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 90 = 3*h, 0*h = -5*h + 3*f + 118. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0)**27)**(-32))**(5\/8) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 - ((-6)\/(-27) + (-7 - (-1463)\/99)). Solve -7*s = 37 - n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 2*o + 15. Calculate l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 41. Let o(n) = -n - 1. Calculate o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 - 20*y**2 + 45*y + 17. Determine d(6).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 359*r - 368*r + 3 + 1471*r - 355*r - 381*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**4 - 212 + 4126*w**3 - 9*w**4 - 4128*w**3 to v*w + t*w**2 + u*w**3 + m + i*w**4 and give m.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -7. Suppose -2*m + 3 = -3*m - 5*s, 5*s - a = m. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/16*1*4*-2. What is the greatest common factor of 6 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36.7 + 46.9. Let o = -10.26 + m. Let g = -1187\/8 + 148. Which is the nearest to o? (a) -5 (b) 0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584010000 rounded to the nearest one million?\nAnswer: 584000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeie when four letters picked without replacement from {w: 1, i: 4, m: 1, e: 9}?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4245812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -44554*p + 445651. Give x(10).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/3, 188, -22.95, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/88450240 and 47\/1881920.\nAnswer: 88450240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14)*(11\/2 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*n - 18 = 0, 17 = t + 2*t + 5*n. Suppose -101 = -2*s + 5*d, t*s + d - 77 = 70. Solve 13 = 5*h + s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/7 - 1\/7. Let s be 2 + (c - (-2 - 70)). Calculate the highest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17216946 and 47?\nAnswer: 17216946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1456.195 - 1437. Let c = n - 20. Round c to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 38 + 18. Let h(n) be the third derivative of 1\/24*n**4 - m*n**2 + 0*n + 0*n**3 + 0 - 1\/30*n**5. Find the second derivative of h(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/72 + 10319\/(-2856) - 6\/14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**7\/1960 + j**6\/210 + j**5\/56 + j**4\/28 + 10*j**3\/3 - 31. Let u(b) be the third derivative of k(b). Factor u(d).\nAnswer: 3*(d + 1)**2*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:35 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4609 - 4565.66. Let f = o - 43. Which is smaller: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2 - 6124*a**3 + 258*a**2 - 4582*a**3 + 2814*a**3 - 6 wrt a.\nAnswer: -47352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 11 + 12 = 3*r, 4 = 4*r. Let y(b) = -5*b**3 + b**2 + 6*b + 4. List the prime factors of y(h).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/6)\/((-82)\/369))\/((-45)\/660).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 101110?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((2\/6)\/(4\/(-12)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 9:13 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 19c?\nAnswer: -19d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvqovppvoooqq. What is prob of picking 1 q and 2 p?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2513360 divided by 1765\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 9*q**2 + q - 5. Let f be m(9). Suppose -n = -f*n + 36. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((20 - 25) + 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d + 4*w - 20 = 0, -4*d = -4*w + 20. Suppose 2*i + 4 = -d*i. Let b(t) = -2 - 7*t**2 + 0*t**2 + 2*t + 4*t**2 - 6*t. Calculate b(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -91. Let y be b\/(75\/10)*695. Is y smaller than -277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29037, -58073, -87109, -116145?\n\"Answer: -29036*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26649548 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -22. Let t be 42 + -2 + (n - 7). What is the units digit of (-6)\/(-27) + 1216\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 658 + bb34?\nAnswer: c48c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let i(d) be the second derivative of 1007*d**3\/6 + 71*d + 2. Give l(i(g)).\nAnswer: 2014*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -13135443?\nAnswer: 13135450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -518, -672, -770, -794?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10)\/((-105)\/(-70)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/8 - -1 - 459\/12. Let p = o + 38. Is (14 - -969)\/(p + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1279 - 1278. Let t = 146\/3 - 1028\/21. Which is the fourth smallest value? (a) 5 (b) t (c) 0.1 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 4*o - 5*o - o**2 + 9*o.\nAnswer: 5*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 673 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 122, 81, -32, -253, -618, -1163?\n\"Answer: -6*g**3 + g + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1444489 is divided by 14024?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 3*n + 7 - 18.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/7 and -30\/89?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62557503 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39288*s + 19708*s + 19629*s.\nAnswer: 49*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 + w**3 - 2 + w**4 - 7*w**2 + 8*w**2 + 2*w**4 to b*w + u*w**4 + q*w**2 + g + f*w**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120 + 7 - (1 + -1).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -1)*16\/3. Calculate the highest common factor of 80 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3 + 4\/3*i + 1\/3*i**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 5:33 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in seventy-eight sevenths of a week?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 346961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zx when two letters picked without replacement from {t: 1, x: 2, z: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-640)\/10*((-14)\/36)\/(28*(-46)\/552)?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 122 = -106. What is the nearest to -1 in u, -0.124, 4?\nAnswer: -0.124","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 4*y - 22. Let c be f(-4). Let b be 2*1\/(-9) - 1437\/(-27). Suppose b = -4*k - 35. Is c < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uunuuzuzuuznezu. Give prob of picking 1 e and 2 z.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3 + 40*q**2 - 4412*q + 4368 = 0. Calculate q.\nAnswer: -39, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 827 by -5.\nAnswer: -827\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and 165?\nAnswer: 164.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**8\/20160 + 13*a**5\/60 + 10*a**2. Let b(d) be the third derivative of v(d). Let o(k) = 3*k. What is o(b(i))?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-292 + 148 - 319 - 250 + 109 - 32)*(-6 + 6 + 16*w).\nAnswer: -10176*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -0.013, 0.07, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -2 (c) 0.1 (d) 2\/291 (e) 6760\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 8*t**2 - 12*t. Let w be l(-6). Suppose w = 19*i - 1871 + 5481. What is i rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45391*g - 55044?\nAnswer: 45391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + l)*(4 + 0 - 3)*(-78 - 58 + 43) + 0*l + 2*l - 8*l - 1 as b + n*l and give n.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2*1\/12). Let x = -317 - -217. Let s be (x\/(-15))\/(4\/6). Solve 6*v = 2*v - 2*w + k, v - s = 3*w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-10) - -1)*-5. Find the common denominator of (-25)\/(-4)*(c - -5) and 39\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3745 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 9)*(v**2 + v - v)*(v - v - 2*v**2)*(-5*v - 9*v + 5*v).\nAnswer: -180*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4201882 is divided by 199.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 4:02 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 11*l**2 - 16*l - 16. List the prime factors of h(13).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 710 = 2*p, -97 = p + 4*l - 452. Let i = 558 - p. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (9 + -2 + -5 + -3 + -7 - -16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1540 - -1543. What is the closest to -2\/7 in 4, -3382, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 6*u**2 + 7*u**2 - 20 + (131*u - 390*u + 59*u)*(49*u + 1 - 24*u - 33*u) to i*u + r*u**2 + x and give r.\nAnswer: 1601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1443120, -1443119, -1443118, -1443117, -1443116?\n\"Answer: l - 1443121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v. Suppose -8*n + 6*n + 60 = v. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 6*n**2 - 3*n + 2. Give q(4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -915 divided by -5\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40 - 42?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-9))\/((-2)\/9). Let w be (2 - (-9)\/p)*10. Suppose o + 4*o - 65 = 2*x, 5*o = w*x + 80. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/8 - 15\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 9*b - 6. Let d(o) = -4*o + 3. Let m(n) = 2*d(n) + k(n). Let x(s) = -2*s**2 - 483*s. What is m(x(u))?\nAnswer: -2*u**2 - 483*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 2*(0 - 1). Suppose -a + 13 = 2*b. What is the highest common divisor of 50 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.39 - 0.01. Let g = 104\/9 + -217\/18. What is the closest to 2 in g, t, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 16. Suppose -2*o + 132 = -l. Calculate the common denominator of (-399)\/o - (2 - 0) and 131\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 389 + 306. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 - v. Let r be i(-1). Suppose 22 = r*k - 8. Solve y - 2 = -5*w, 3*y = -0*y + 2*w + k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 2724800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -428*d**2\/3 - 436*d - 880\/3.\nAnswer: -4*(d + 1)*(107*d + 220)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3167951+-0.09\nAnswer: -3167951.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1237595, -2475162, -3712733, -4950308?\n\"Answer: -2*b**2 - 1237561*b - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185917144 divided by 3205468?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(342)\/sqrt(6)*4)\/(6*(sqrt(147) + (sqrt(147) - 4*sqrt(147)))).\nAnswer: sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 126\/21*((-12)\/(-63))\/(-4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/300 and -191\/870?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/((-55)\/6202) - (-174)\/957?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 4*q - 2*q + (0 + 5 - 4)*(q + 5*q - 5*q) - 4*q + 3*q + 4*q - 2 + 2*q + 2)*(0 + 3 - 1).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i - 4. Let d be p(3). Let k(z) = -5*z**2 - d*z + 4*z + 15*z**2. Let f(c) = -3*c**2 + 2*c. What is 7*f(w) + 2*k(w)?\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/9)\/((-3)\/(-18)). Calculate the highest common factor of 10 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 137729280 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-18))\/(f\/f**6*f) assuming f is positive.\nAnswer: f**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 16 = -a, 5*a + 0*a - 52 = -2*v. Let o be (-3)\/a - (-26)\/8. Differentiate 2*f**3 - 3*f**3 + 9 + f**3 - 7*f**o wrt f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7176047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m)**(-2\/19)\/(m**(1\/3))**26*((m**(1\/3)*m)\/m**(-7))**(-5\/2) assuming m is positive.\nAnswer: m**(-1129\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 526.752 millilitres in litres?\nAnswer: 0.526752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**2 + 280*i - 4900 = 0?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - -17 - (2820 - 2753).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.21 - 2.79. Which is smaller: -0.2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1476721224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + 0.6. Let p = -93 - -92.49. Let f = p + 0.11. Which is the second smallest value? (a) n (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 9)*(-5 - 3 + 5)*(3*u + u - 2*u + u + 3*u - 3*u + (u + 2*u - 4*u)*(2 + 1 - 1) + 0*u - 2*u + u - 3*u + 0*u + 2*u + 2*u - 2*u - 2*u).\nAnswer: -81*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/17? (a) 5 (b) 4\/3 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 2*q - 5 - 10, 3*g - 30 = -3*q. Solve -35 - g = -8*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 250, 2, -1 in decreasing order.\nAnswer: 250, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 2*k. Let y be z(0). Let t(r) = -r**2 + 4. Let i be t(y). Let q be -1 + i*1\/6. What is the biggest value in q, -2\/21, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.596224l to millilitres.\nAnswer: 4596.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 6 (c) -2\/9 (d) 1015 (e) -0.09 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 2}. What is prob of picking 1 k and 1 i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*m, -4*p - 3 = -5*m + 4*m. Put 5, -16, -4, p in ascending order.\nAnswer: -16, -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350 and 3456?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 158*y + 43*y - 36*y + 34*y + 183*y to i + j*y and give j.\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11bbd (base 16) to base 4\nAnswer: -101232331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**7\/c)\/((c\/(c\/(c\/(c*c**(-1\/4)\/c*c))))\/c)*(((c**(-5)*c)\/c)\/c)\/c**(-6) assuming c is positive.\nAnswer: c**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 4*o + 3*o)*(4*o + o - 3*o + (1 - 3 + 3)*(-1 + 2*o + 1) + 3*o - 5*o + o).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/7*((-40)\/(-5))\/32. What is the nearest to 1 in 0.5, 5, -2\/9, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1022 and 20988.\nAnswer: 10724868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 - -54. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 36\/60 - 56\/(-315)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16293000 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61.4 + 61. What is the second smallest value in m, 6, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -798, -3160, -7076, -12528, -19498?\n\"Answer: 3*m**3 - 795*m**2 + 2*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 11*n + 6. Let a(y) be the first derivative of 0*y + 0*y**2 + 3 - 2\/3*y**n. Let p(v) = -2*v. What is a(p(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8742 is divided by 484?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3 + 22*n**3 - 2*n**3 - 3*n + 6*n - 5*n**3. What are the prime factors of q(2)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -l. Suppose y - 5*y = -12. Suppose -3*m + u - y = 0, -2*u - u = -2*m - 9. Solve m = f - 2*f + l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, l: 2}. What is prob of picking 2 f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 + 160261*o**3 - 1762953*o**2 + 6250563*o - 7212240 = 0. Calculate o.\nAnswer: -160272, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j + 7*j - j + 3*j**2 + 4. List the prime factors of o(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*q - 48029, -6083*q + 6079*q = z - 48011. What is the greatest common factor of 735 and q?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21489030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + 355 - 355 + (3*h**2 - 3*h**2 - 3*h**2)*(7*h**3 + 3*h**3 + h**3).\nAnswer: -35*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4 + 26171*z**3 - 916922*z**2 + 7547652*z + 8490744 = 0.\nAnswer: -26206, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2097 + 2079. Is o greater than or equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-18\/11)\/(y**(-2\/7)*y)**(3\/2) assuming y is positive.\nAnswer: y**(87\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.4. Let x = 305.669 + -306. Let j = -0.031 - x. What is the biggest value in 3, w, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -31113?\nAnswer: -31033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 64, 128, 188, 244, 296, 344?\n\"Answer: -2*r**2 + 70*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 373460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**5\/20 - 7*c**4\/12 + 5*c**3\/3 - c**2 + 21*c. Let l be w(5). What is the nearest to l in -0.08, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 15, -16*x - 4*b = -11*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 - 71 + 3*s**4 + (2*s - 3*s + 0*s)*(-s + s - s**3))*(0 - 1 - 1).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6147 is divided by 186.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**18*g**(-3\/10))\/(g**(-10)*g**(-11)))**(-25) assuming g is positive.\nAnswer: g**(-1985\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 + 357*j**2 + 273*j - 208. What are the prime factors of s(119)?\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12*j + 3327. Let g be f(0). Suppose -3*d + g = 2*t, 5*t = -5*d + 4175 + 1365. List the prime factors of d.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*q - 36, 5*u - 4*q - 94 = 3. Suppose 7*p = 2*p - 5, -5*p - u = -3*d. Let f = -35 + 67. What is the highest common factor of d and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - ((22 - 27) + 8 + -58)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2628677, -2628673, -2628671, -2628671, -2628673?\nAnswer: -2628677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/25 + 11 - (-72)\/(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) -1\/6 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-580)\/(-87)*9\/(-12). What is the third biggest value in -1\/33, k, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.44467? (a) -0.5 (b) 0.2 (c) 17 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24309829?\nAnswer: 59, 412031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohov when four letters picked without replacement from hohhhohvohohhhohhh.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 270*b + 1270. Let a be j(50). What is the highest common factor of a and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -444198473?\nAnswer: -444198473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*u = -73*u - 4979. Let a = -4231\/11 + u. What is the common denominator of -56\/15 and a?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*i - 19. Sort -4, i, 4, -3.\nAnswer: -4, -3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2117866 divided by -75?\nAnswer: 2117866\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 8*y - 5. Let j be f(-5). Let c(n) = -3*n - 17. Let b be c(-14). What is the greatest common divisor of b and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3689598863 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 0.49985. What is z rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -80, -323, -728, -1295, -2024, -2915?\n\"Answer: -81*l**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let b = -1 + 4. Let a(w) = -b + 0 + 4 + 2*w. Calculate a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - r - 2 = -11, 0 = -2*r. Is 9 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 1\/6*l**3 - 3*l - 1\/48*l**4 + 3 - 3\/8*l**2. Factor h(k).\nAnswer: -(k - 3)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 27837.5.\nAnswer: -27837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -24\/193972145 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5679748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 25*o**3 - o**2 + 2*o - 1. Let x be n(1). Suppose 22*h + 456 = x*h. Round h to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620.26 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 + 0 = 0. Let d be ((-6)\/(-15))\/(8\/30). Which is the biggest value? (a) d (b) 1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**2 - 2572*b + 75957. Give m(28).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*8\/(32\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 35 = -98 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 12*n + 16. Let h be j(-11). Suppose 8979 = -h*a - 16021. What is a rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201 + y**2 - 197 + 0*y - y**4 - 6*y + y to the form s*y**3 + u*y**4 + l + z*y + x*y**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*x + 2 = 0. Let g be (-10)\/(-4) + -1 + x. Sort 1, -4, g in increasing order.\nAnswer: -4, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(209)*6)\/((1*sqrt(22))\/sqrt(2)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j - 24. Suppose 0 = -4*n - 5*l - 2, -4*n + 5*l + 6 = -j. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 128 = 26. What is the greatest common factor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-74 + 72 - (-8 + 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**3\/2 - 39*d. Suppose -1 - 2 = -3*a. Suppose s + 0 - a = 0. Give m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -3 (c) -0.2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 50*n = -256726. Is n a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**2 - 1455*z - 369288 = 0. Calculate z.\nAnswer: -184, 669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 132, 262, 382, 486, 568?\n\"Answer: -u**3 + u**2 + 134*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r - 7*r + 3*r)*(-3 + 3 + 2*r) - r**2 + 0*r**2 + 3*r**2)*(60*r + 80*r - 207*r).\nAnswer: 134*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 47985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-125)\/(-30) - 1\/6. Suppose -9*o + 200000 = -q*o. Round o to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 5*g + 2. Let c be l(5). Solve -2*j + c = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {t: 1, a: 3, v: 1, o: 3, p: 1, y: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 1. Let x(v) = 2*v**3 - 5*v**2 + 5*v - 4. Let f be x(o). Suppose 2*h - 6*h = -f. Solve l - 12 = 3*i + h, -i - 19 = -3*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -7*m**7\/30 - m**4\/8 - 2102*m**3\/3 + 1826*m**2. Differentiate w(z) with respect to z.\nAnswer: -196*z**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 + 37*z - 16. Let f be h(7). Let l(d) = -13*d**3 + 4*d**2 + 3*d + 6. What is the units digit of l(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -77? (a) -0.01 (b) 1\/5 (c) -2\/19 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116.73158 + -0.26158. Let o = -117 + b. Let m = 0.48 + o. Round m to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 5:41 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.861 and -3816.\nAnswer: -3818.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -373?\nAnswer: -26\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1844 - 1824. What is the greatest common divisor of 168 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228039 + 3731*f**3 - 114023 - 114016.\nAnswer: 3731*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 588 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 17*u**2 - 8*u + 8. What is the units digit of x(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -170*c**2. Let i(n) be the first derivative of 2*n**3\/3 + 1258. What is u(i(l))?\nAnswer: -680*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 8:54 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4640 or 120631\/26?\nAnswer: 120631\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Suppose -y*a = -3*x - 330, a - 2*a = -5*x - 102. Suppose -2*d + 5*d - 72 = 3*j, -5*j + a = 3*d. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270375 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -k - 4*v, 2*v - 58 = 4*k. Let y be 2 + (k\/(-4) - 3). Let b(t) = 3*t + 8. Let s be b(2). What is the greatest common factor of y and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 21*p - 91. Determine l(17).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 448 and 50070.\nAnswer: 50518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2. Let v(r) = -r. Let y(i) = 6*i. Let j(g) = -18*v(g) - 2*y(g). Calculate j(a(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5 - -5) + -1 + 3)*27. Suppose -57*q = -b*q - 9. Solve 4*p - q*g = 9, -p - 4*g - 10 = 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 7*c**2 + 1. What is the smallest common multiple of 1 and p(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 214694.\nAnswer: 1717552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (513\/6498)\/((-36)\/570)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 51. Solve -t - 17 = -5*h, -5*h + 3*t + 21 = -p*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 213*c + 94. Is 29 a factor of a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + 0*p)*(-39*p + 3*p**2 + 39*p + (-1 - 2*p + 1)*(0 + 0 - p)).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 + 3)*(2 + 1 + 0)*(-3 + 2 + 0)*(1 + i - 1) to the form n*i + k and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647*b = -83*b + 3494 + 886 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 - 59. Suppose 338 = u*o - 28. What is the remainder when o is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15583871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aapapsyyyayyp. What is prob of picking 1 a, 1 y, and 1 s?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**2*p*s - 3*o**2*p*x**2 - 5*o**2*p*x - 2*o*p*x**2 - 3*o*s*x - 3*p*s*x**2 + s + 20*x**2 wrt x?\nAnswer: -6*o**2*p - 4*o*p - 6*p*s + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006 + -338966954.677.\nAnswer: -338966954.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhhm when four letters picked without replacement from {h: 1, m: 2, g: 2, c: 2, x: 2, j: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aadbaoabbdaad.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 186.43 and -47717.\nAnswer: -8895880.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1875 + -1955. Let z be (28\/(-98))\/(9\/7). Which is the third biggest value? (a) z (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*a**5 - 755*a**4 + 2230*a**3 + 5610*a**2 + 1435*a - 1175 = 0. What is a?\nAnswer: -1, 1\/3, 5, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126*a + 126*a + 19*a**2)*(54*a - 31*a + 24*a)*(-1 - 4 + 3) + (-a**3 - 2*a**3 + a**3)*(2 - 2 - 1)*(-16 - 9 + 7).\nAnswer: -1822*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3050 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 y when three letters picked without replacement from {l: 11, y: 9}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 4. Let y be m(-4). Suppose -3*q + 6 = -y. Suppose 0 = c - 0*c - 11. Solve 12 = 4*t, -t = -4*i + q*t + c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.168805mm to meters.\nAnswer: 0.006168805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -54*q**3 + 12*q**2 - 5*q + 48. Let f(a) = 27*a**3 - 7*a**2 + 3*a - 24. Let c(u) = 5*f(u) + 3*y(u). What is the third derivative of c(r) wrt r?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14425 is divided by 2536.\nAnswer: 1745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 66 = 3*q. Let h = q - -328\/5. Let d = 0 - -3. Which is the closest to 0? (a) 0.5 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, w: 4, z: 4}. What is prob of picking 2 w, 1 z, and 1 v?\nAnswer: 96\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n**2 - n + 11. Let w = 3 - 3. What is the remainder when 20 is divided by m(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pggggpgggggggppepppe.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 374 + -284. What is the derivative of 69 - 204 + 32 + 58 + u*j wrt j?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + -80 - (-215 + 138 - -81).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-2) - 1\/2. Suppose 0 = 3*c + o - 5, -4*c = -c - 3*o + b. Solve 3*u - 5*p - 11 = -3*p, 3*u = -p - c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -167 - -4?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 3*u + 41 + 22*u - u**3 - 15*u.\nAnswer: -u**3 + 10*u + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2. Let r(b) = 3*b**2 + 7*b. Let t(q) = -2*q**2 - 5*q. Suppose -g = -2*z - 13, z + 15 = -4*z. Let n(v) = g*t(v) + 5*r(v). Calculate o(n(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 - 126. Let r = t - -358. Calculate the remainder when r is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12744015?\nAnswer: 3, 5, 849601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23442, 23181, 22924, 22671, 22422, 22177?\nAnswer: 21936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04548226667 rounded to six decimal places?\nAnswer: 0.045482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3345, -13386, -30127, -53574, -83733, -120610?\n\"Answer: -b**3 - 3344*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 46. Let o = 45 + s. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3051 + 6125. What is the highest common factor of g and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 5, -4, 0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 4*y**2 + 3 + 5 - 5.\nAnswer: 4*y**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3)*(-8*n**4 + n**4 + 2*n**4).\nAnswer: -25*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 896 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2441 is divided by 273.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 38. Let j(z) be the third derivative of 1\/3*z**3 - 1\/60*z**5 + 2*z**2 + 0 + 0*z + 0*z**u. Differentiate j(b) with respect to b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2517*u - 2 + 1199*u + 1241*u + 44*u**4 wrt u.\nAnswer: 528*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 3 + 0)*5.\nAnswer: 5*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.87 and 0.4.\nAnswer: 2.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 6*p + 3. Give x(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*t + 2*c - 8 = 90*t, 2*c = t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (9 + -10 + 4 - (-2 - 5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5679 and 17037.\nAnswer: 17037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 173429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 11*w. Let x = 12 + -11. What are the prime factors of j(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 5, 2, 7, 1\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1094*a + 11 = -1090*a + 3*h, 3*a - 7 = -h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -913?\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 13*m. Let h(n) = 21*n**2. Calculate u(h(g)).\nAnswer: 273*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 20325*l + 81008. Determine z(-4).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -40*(0 - 1\/2). Let i = p + -12. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*w + 608 - 8, z - 4*w = 135. Is (-6)\/14 - (-71652)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**4 - 15*y**4 + 0*y**4 - 1 + 81*y**3 + 8*y**4 - y**2 to p*y**2 + i*y**3 + o*y**4 + f*y + x and give i.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -727, 2, 4 in increasing order.\nAnswer: -727, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(2\/60). Let o = -8 - f. What is the greatest common divisor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 + 65. Let y = k + 94. What is the remainder when y is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -2) + (2 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 13. Let w be j(-11). Suppose -1 - 1 = -m. What is the greatest common divisor of w and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -1\/20*k**5 - 4*k**3 + 5\/2*k**2 + 0 + 5\/6*k**4 + 24*k. Let z be v(6). Solve -z*w - 8 = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 535352 (base 6) to base 12\nAnswer: 21558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 3*g + g)*(24 - 19*g - 24) - 4*g**2 + 3*g**2 + 2*g**2 + 4*g**2 - 7*g**2 + g**2 + (2 - 3 + 3)*(-2*g**2 - 2*g**2 + 2*g**2) + 3*g - 2*g**2 - 3*g.\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7*l - 34. Let m(u) = -3*u - 18. Give 9*m(d) - 4*o(d).\nAnswer: d - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i + 13 = 0. Let v be (-21)\/14 - (-22)\/4. Suppose 3*u = -v*h + 102, -3*h = -u + 8 + i. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*i**3 + 2*i**3 + 90*i**3.\nAnswer: 130*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27805973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from snsnnnsssnsnns?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 8 = t, 2*h - 20*t + 23*t = 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 - 5*c - 7. Let x be b(7). Let y be x + (-3 - -4) + -3. Suppose -l - l + y = 0. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/24*-3 + (-4 - (-280)\/(-32)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/22*3)\/(1123\/(-4492)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.011, -42\/5, 0.4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89712*l = 89955*l - 13051 - 6389 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 8. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1764 and 129312.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-70)\/(-175)*(2 + (-9)\/12). Factor 1\/6*o**3 - j*o**2 - 1\/6 + 1\/2*o.\nAnswer: (o - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a810 (base 14) in base 15?\nAnswer: 88ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5630 is divided by 115.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 944*w + 2*w**4 - 2 + 915*w as d*w**3 + l*w + a*w**4 + b + o*w**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12980 plus 1364?\nAnswer: 14344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3.8, 3 in decreasing order.\nAnswer: 3, -3.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 200229637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*186867\/(-1538).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86.20559 centuries?\nAnswer: 103446.708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111\/37)\/((3\/(-2))\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 225a - 34?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 5*s**2 + 9*s - 3. Suppose -40 = 4*a - 4*v, -3*a - 2*v + 3 = 18. Let n be q(a). Suppose -n*k = -35*k + 1758. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -16 + 11. Which is greater: c or -2\/317?\nAnswer: -2\/317","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 247\/3. Let t = -59 - -60. Put t, -1, n in decreasing order.\nAnswer: t, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1685 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 209, 697, 1641, 3191, 5497, 8709, 12977?\n\"Answer: 25*t**3 + 3*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 80. Let s = 58.2 - j. Suppose w = 3*q + 2*q + 3, -3*w = 2*q + 8. What is the smallest value in q, s, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(11))**2*3 + 4 + ((sqrt(22)\/sqrt(2)*-1)**2 - sqrt(11)) + (sqrt(99) + 1 + sqrt(11))**2.\nAnswer: 7*sqrt(11) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -13. Let j be 100\/6 + (-6)\/n. Suppose 6*f = -4*y + f - j, 4*y + 4*f = -12. Solve 4*i + 14 = -y*r, -2*i + r - 4*r = 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 40. Calculate the greatest common divisor of 11 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.3086.\nAnswer: -0.9258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.201004 - 6.200346. Let a = 6.11 + 0.29. Let t = a + h. What is t rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.6 and 175?\nAnswer: 176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-4\/19))\/h)**37 assuming h is positive.\nAnswer: h**(148\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2120113 - 10?\nAnswer: 2120103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -565*o**3 - 5*o**2 + 180*o + 6. Let p(d) = 1130*d**3 + 10*d**2 - 330*d - 11. Give 6*p(v) + 11*r(v).\nAnswer: 565*v**3 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 31*k**3 - 28*k**3 + k)*(15 + 20 - 966*k - 2148*k - 35).\nAnswer: -9342*k**4 + 9342*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x**2 - 2. Let j be u(-1). Solve -3*b = 5*d + 23 + 4, 2*b = -j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuwnkkupuunknnk. What is prob of picking 1 w and 3 k?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5061167640?\nAnswer: 2, 3, 5, 359, 39161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205 + 206. Put -48, 4, n in increasing order.\nAnswer: -48, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 8*i - 3. Let d be u(-7). Let a = 0 + d. Solve a*g = 15 + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 28. Suppose -2*u = -3*x - c - 213, -2*x = -5*u + 652. What is the highest common divisor of 26 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 10\/99 (b) -29 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 59745938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrrqxrorr. Give prob of sequence xx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -73178.01.\nAnswer: 51224.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (151 - 83 - 66) + -32.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*w - 344*w + 172*w.\nAnswer: 79*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 3\/8*g**4 - 1\/3*g**3 + 0*g + 2*g**2 - 1\/15*g**5 + 0. Solve t(u) = 0 for u.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 10*k**2 + 7*k + 13. Let y = -188 - -179. Calculate the remainder when 176 is divided by l(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3312338, 6624540, 9936742, 13248944?\n\"Answer: 3312202*g + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**3 + b**2 - 3*b + 6. Let o be m(4). Let p = o - -273. List the prime factors of p.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 32 = 4*w, 12*w - 17 = 11*w - 3*x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s - 1137 = -1863 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 23*k**2 + 23*k**2 - k**3 - 16.\nAnswer: -k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53826737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*t - 14, 2*y + 20 - 37 = 5*t. Find the common denominator of 13\/63 and 1177\/(-88)*y\/21.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85058 divided by -71\nAnswer: -1198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-4\/3)*q\/(q\/q**(-2\/19)))**(-2\/119))**(-12) assuming q is positive.\nAnswer: q**(-200\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y + 10 - 2909*y**2 + 1456*y**2 + 1452*y**2. Give i(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -887 + 516. Let z = q - -373. What is the nearest to z in 2, 1, -11, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 0*f + 0*f**2 - 2 + 0*f**3 + 4\/45*f**5 + 1\/18*f**4 + 1\/27*f**6. Factor k(q).\nAnswer: 2*q**3*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - q + 256. Suppose 34*t - 23*t = 132. Suppose 9*p + 4*d = 56, t = p - 5*d + 4*d. Calculate the highest common factor of p and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (560\/2100)\/(3\/20)*18\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(117) + -1)*3*6)**2 - ((sqrt(65) - 1*sqrt(65))*-5)\/(-6*sqrt(10)\/sqrt(2))).\nAnswer: -1944*sqrt(13) + 38232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -52) + 3 - 6. Is b > 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5627*k**3 - 4440*k**2 + k - 3?\nAnswer: -33762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.162 + -0.338. Which is the smallest value? (a) -1\/3 (b) 3\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53574?\nAnswer: 2, 3, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 5930 = -n. Is (-6)\/(-15) + n\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2011 divided by 3\nAnswer: 2011\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -98030, -196037, -294034, -392021?\n\"Answer: 5*f**2 - 98022*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -757 - -2040. Let a = 1283.000001307 - m. Round a to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + 0)**2 + -2 - ((sqrt(120)\/(sqrt(6)\/sqrt(2)))\/sqrt(8))**2.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263 - -263. Suppose -2*i - 12 = -2*y, 0 = y - j*i + i. Solve -6*h + h = 4*t - 8, 0 = -y*t - 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 19)*((-x + 2*x + 0*x)*(2 - 3 + 2) + x + 0 + 0 + x + x + 0*x + 3*x - x - x)*(4 + x - 4).\nAnswer: 80*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 186, -1645\/2, -2\/11?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 238 or 236?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x - 15*x - 10. Let m(v) = v + 22. Let r be m(-10). Solve x*t = t + r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 832cc (base 16) to base 12.\nAnswer: 21ab24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 15 + -10 - 6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741*a + 2094*a - 9306 = 786*a + 708*a for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -272b (base 13) to base 8.\nAnswer: -12756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81979155?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337770.\nAnswer: 2, 5, 7, 29, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (433*t - 1 + 56*t + 136*t)*(-13 - t**2 + 13 + 2*t)*(-2 + 0 + 3) to y*t + g*t**2 + k*t**3 + b and give k.\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1768 = 4*k, 3*o - 2648 = -2*k - 2*k. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*y**5 + 183*y**4 + 495*y**3 + 357*y**2 + 66*y = 0. What is y?\nAnswer: -1, -2\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) + -33*(-4)\/60. Suppose -2*m + 177 = a, 2*m = -g*a - 0*a + 174. Calculate the greatest common divisor of m and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(3\/5))\/g**0*g**(-1\/10)\/(g\/g**(-1\/2)) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2*n, -4*n - 16 - 54 = -5*r. Suppose -2*h - 2*u = -239 - 929, r = -2*u. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 370688464 and 12170?\nAnswer: 2434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.0084?\nAnswer: -0.00336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one eighths of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1.5, -2.06, -4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 5*q**2 + q - 3. Let c be (0 - 1)*(3 + 1). What is the remainder when 26 is divided by p(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9564*r - 11076*r - 11072*r - 11066*r + 42785*r.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33211\/6 + -5552. Calculate the common denominator of b and 46\/(-20) + 2 + 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 201174130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-7 - -9) - -3. Solve -f = -3*g + 9, g + k + 4 = -3*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m + 336 - 336)*(-1 - m + 1).\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152041167 divided by -3231.\nAnswer: -47057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 156 and -292704.\nAnswer: -45661824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u - 1. Let d be f(1). Suppose d*l = -2*k + k - 24, 2*k + 3*l = -39. Which is smaller: -16 or k?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 11532000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 6*o**2 + 4*o + 3. Let n(a) = a**3 + 6*a**2 + 5*a + 4. Let s(f) = -3*n(f) + 4*x(f). What is the units digit of s(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 4)*(57 + 73 + 3)*(-37 + 37 + 2*g) in the form s + l*g and give l.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -18, 2*z - 245 + 311 = 8*h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 5*k**2 + k - 5. Determine v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 10. Let v be (-5)\/10 - f\/(-2). Solve v = -4*g + 7 + 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y**2 + 28*y + 1. Let v be f(3). Let d be v\/2 - 36\/72. Sort d, -33, 4.\nAnswer: -33, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12662*z + 299 - 299 - 2720*z to i + b*z and give b.\nAnswer: 9942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*w + 274*w = -8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 15*a**2 + 2*a + 32. Let x be v(-15). Let n(r) = r + 3. Let y be ((-2)\/4)\/(2\/(-20)). Let t be n(y). Solve t + 2 = -x*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14389, 28777, 43167, 57559, 71953, 86349?\n\"Answer: f**2 + 14385*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 615106363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.127 + 1.873. Let u(n) = 119*n - 362. Let l be u(3). Which is the nearest to -0.1? (a) l (b) 0 (c) h (d) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1340\/7 + 2\/7*h**2 + 674\/7*h = 0.\nAnswer: -335, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 85 + 78 + 78 - 288 + 89.\nAnswer: -x + 42","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 - 58\/(-18). Suppose 3*d + 4*p - 657 + 2 = 0, 2*d = p + 411. Suppose 2*a + 2 = 0, k + c*a - d = -2*a. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -7 + 25. Suppose z*i - 96 = -5*t, 2*i + 4*t = i + 39. What is the units digit of 160\/30*i\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 3, 6\/13 in increasing order.\nAnswer: -118, 6\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7512*b = 63*b + 79228 + 69817 + 85780 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 14*l**3 + 2*l - 1. Let w be (-9)\/12 + 49\/28. Let c be i(w). Suppose c*a = 19*a - 16. Solve 0*r + a = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 1. Let v(i) = 1. Let k(o) = 5*c(o) - 4*v(o). Let z = 0 + 14. Let q(p) = p**3 - 16*p**2 + 28*p + 3. Let f be q(z). What is k(f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6587 - -6608. What is the least common multiple of 2868 and j?\nAnswer: 20076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.144 + 0.049. Let o = z + -0.193. Sort -2\/19, -2\/3, o in increasing order.\nAnswer: -2\/3, -2\/19, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -14 + 2 - -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-40))\/(2\/4)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 14\/25, -77, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 304. What are the prime factors of m(0)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7647.572 at least 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 16, 26, -2, -2\/3, 4, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtkw when four letters picked without replacement from {j: 1, t: 2, w: 1, m: 1, k: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3070124339?\nAnswer: 31, 2039, 48571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156490.8 - -45.9.\nAnswer: 156536.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255*l**3 + 2*l + 255*l**3 - 511*l**3 - l to d*l**2 + i*l**3 + z*l + c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - z - z = -14, f = 4*z - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/5 + 20998*w\/5 - 10346380 = 0. What is w?\nAnswer: 3949, 6550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15154229 to the nearest integer?\nAnswer: 3893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (594\/(-45) - -16)\/(4\/18 + (-120)\/54)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1586)\/8723)\/(-2*13\/110).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*v - 46 = -4*d + 6*d - 59*v, -3*d + 34 = v + 30 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2940, -5035, -7132, -9231, -11332, -13435, -15540?\n\"Answer: -w**2 - 2092*w - 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8165424?\nAnswer: 2, 3, 67, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*r - 0*c + 47, 0 = -2*r - 3*c + 16. Let y(s) = -8*s - 2*s - 27*s**2 + s - 13 + 30*s**2. Is y(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.62021366 - 0.02021266. Let u = 18.22 - 22.82. Let q = u + f. What is q rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25188617 is divided by 1375?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1032 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15\/2 - -47\/6. Let u be 98\/686*((-14)\/6 + 0). Put u, 39, o in descending order.\nAnswer: 39, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 32\/6)*2\/12 and 41\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5 + 25*x**2 - 47*x**2 - 3*x + 20*x**2 + x. Let v(o) = o**2 - 1. What is -r(y) + 4*v(y)?\nAnswer: 6*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = 2*b + 4*x, 11*b - 8*b + 5*x = 306. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2515 and -2514 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(515\/309)*53?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-2 - -12) + -4. Let p = x - 11. Is 409*(-1 - 0)*p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2 - s**2 - 2. Suppose 0 = -i + 6*i - 10. Let o(y) = -37 + 37 + 2*y**i. What is l(o(h))?\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) 0.23 (b) -0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/145700 and -29\/167737125?\nAnswer: 670948500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/2)\/((2 - -20)\/(-11)). Solve 8 = v - 5*y, 0 = -l*v + 6*v + 2*y - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11751211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (7 - (-10 + 5 + 7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*i + 3*i - 2*i)*(i**2 - i**2 + i**2) - 34*i**3 + 431*i**2 - 431*i**2 - 4*i + 4*i + 4*i**3 - 3*i**2 + 3*i**2 - 2*i**3)*(-i + 3*i - i).\nAnswer: -34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 8*o**2 - 21*o + 196. Determine w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -5*t + 28, -3*m + 2*t = 15 - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.059.\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a54c (base 15) to base 2.\nAnswer: 111001111110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1759 = 107*o + 1955 - 3393 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-28) + 0 + -4 + 16\/56.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**2 + 2*t - 6. Let b(w) = 5*w**2 - 2*w + 5. Let z(c) = 5*b(c) + 4*q(c). Determine i, given that z(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 - 8*n - 5. Let r be k(7). List the prime factors of 32\/r*9\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -30*m + 5. Let h(u) = 15*u - 2. Suppose 4*n + 5*f = 10, 0 = 15*n - 14*n + f - 3. Give n*h(r) + 2*c(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {a: 8, o: 5}?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 838 * 2.\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 14, f: 5}. What is prob of picking 2 k?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658632?\nAnswer: 2, 207329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*l**2 - 3*l**3 - 2 - 7 - 27 + 99*l.\nAnswer: -(l - 12)*(l + 3)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from jjtjjjljjddjj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 6*f**2 - 91*f + 6. Let j be o(7). Let q(v) = -v + 1. Let s(p) = 11*p - 8. What is j*q(k) + s(k)?\nAnswer: 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c. Let m(b) = -2*b - 549. Give l(m(y)).\nAnswer: -16*y - 4392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 5:45 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -1 + 3. Suppose 10*i - 12*i = -2*l - 24, -4*i + 3*l + 41 = 0. Put o, i, -25 in descending order.\nAnswer: i, o, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.2223193 nanoseconds?\nAnswer: 0.000000000037038655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004604360662 rounded to 6 decimal places?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 251*w - 1473. Calculate b(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -75342 divided by 58?\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-6) + (-2)\/4. Let b(i) = -o + 3*i - 2*i - 2*i + 2*i. Suppose q + 8 = -2*g, -5*q + 11 = -2*q - g. Give b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/11 - 9844*i**2\/11 - 19694*i\/11 - 9848\/11 = 0.\nAnswer: -1, 4924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 1)\/(1*(0 - 1)). Let x(z) = -z**p - 4 + 5 + 4*z - 7 + 5. Suppose i - 1 + 8 = -3*k, 0 = -3*i - 2*k. Determine x(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/70 - 4\/10. Let y = 533475 + -533460. Put g, y, -3\/5 in descending order.\nAnswer: y, g, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - -80. Let s = -36 + c. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135\/2 - -66. Let i = -0.3 - -1.3. Let x = -2 + i. Which is greater: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11242 >= -11473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**6\/120 - o**5\/30 - o**4\/24 + o**3\/3 - 12*o**2. Let d be u(0). Solve 2*k - 6*k - 10 = -d*h, -5*h = -5*k - 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((1 + sqrt(3267) + 1 - (-2*sqrt(3267) + -3)) + -5)*-2 + -1 + -3)**2.\nAnswer: -705768 - 9504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 45*n**5\/2 + 31063485*n**4 + 103544770*n**3 + 96641740*n**2 + 27611920*n = 0.\nAnswer: -1380596, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 2:12 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*k + 31 = 4*k, 5*d - k - 119 = 0. Let c be (-58)\/(-4) - d\/46. Suppose -13*m + c*m = 0. Solve m = -2*b - 11 + 3 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnh when three letters picked without replacement from {h: 3, t: 3, n: 4, j: 5}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15694*p**4 - 8008?\nAnswer: 62776*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5601.168 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 991778289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v + 366. Let l be i(-24). Suppose -11*a = -17*a + l. What is the remainder when 218 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7510828 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-24))\/(-2*1\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3081*0.5\nAnswer: 1540.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -1\/4*n**3 + 9\/4*n**2 - 5*n + 3 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.4 - 12. Let c = 0.32 + -5.32. Put 0.5, c, f in ascending order.\nAnswer: c, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttt. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 10*k + 6. Let n be g(10). Let v(d) = 79631*d**3 - 11*d**2 + 20*d - 20. Let h be v(n). Round h to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 - 70 - (2 + (-10 - -2))) + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 11*j - 13*j - 19, -f - j = 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -761.7 - -762. Put -5.9, -2\/7, o in increasing order.\nAnswer: -5.9, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q + 5 = 51*q + 3*h, 0 = h + 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -268 + 289. Suppose -3*v + 2*m = -11, -3*m + 0 + 3 = 2*v. Suppose s = -0*s + 5*o + 174, v = o. Calculate the greatest common factor of s and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.5. Let v = 869 + -872. Put -2\/13, -2\/11, j, v in decreasing order.\nAnswer: j, -2\/13, -2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19216144 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 4*v + 4*v + 0*v**2. Let d(t) be the third derivative of t**4\/2 + 23*t**2. What is d(w(r))?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1217397 * -5.\nAnswer: -6086985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.218 + 0.36. Let j = v - 0.242. Let m = 0.69 + -1.39. Which is bigger: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 5*o + 1. Let l(i) = 578*i**3 - 973*i**2 + 25*i - 5. Let n(r) = 5*h(r) + l(r). Find the third derivative of n(m) wrt m.\nAnswer: 3468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3620.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:02 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x + 4 = 0. Let r be (6\/((-9)\/3))\/x*0. Are 8\/15 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432.9*-0.4.\nAnswer: 173.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 41*z + 5857. Determine r(-143).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l, -4*o + 6*l = l - 5. Suppose o = -4*w + 5*m + 3816, 108 - 3005 = -3*w - 5*m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 4*y + 32. Let r be b(-8). Suppose -l = l - 2. Put l, r, 4, -1 in increasing order.\nAnswer: -1, r, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-20)*19)\/(((-4)\/10)\/(1296\/(-810)))\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2, -80, -5, 0.07?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (4 - (-1 - -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14663130 + 25?\nAnswer: 14663155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - 5*d**4 - 2*d**4 + 1 + (-2*d**2 - 2*d**2 - 6*d**2)*(d**2 - 2*d + 2*d).\nAnswer: -18*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Suppose -306*w + 289*w + 40 - 6 = 0. Let r = 28 - 23. Solve -w*m - b = m, -2*m - r = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 272 + 256. Let t = p - 128. Solve -6*j = -4*j - t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 864957619 and 2507.\nAnswer: 2507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005212460332 rounded to six decimal places?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -5 + (-1 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297158890511\/2120 - -140169285. Let u = l + -31\/424. Let b = -12335 + 246581\/20. Calculate the common denominator of u and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p + 3*p - 155 = 175 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.5 + -193.5. Let p = -227 - s. Which is smaller: p or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = -t. Suppose -75 = -2*y - t*y. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -16*b - 13. Is q(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 34*x + 138. Let j(u) = -2*u**3 - 12*u**2 + 13*u + 3. Let l be j(-7). List the prime factors of g(l).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 9:39 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 4464102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 158*x - 55100 = 0. Calculate the greatest common factor of x and 2128.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -189*v + 2459. Let y be j(13). What is the closest to 39 in -4\/7, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2007889?\nAnswer: -4\/2007889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = -d, -4*u - 676 = -4*d. Round u to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11359 - 26228 + 6111)*(-3*y**2 + 5*y**2 - 4*y**2).\nAnswer: 17516*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 16 = -3*t, 4*t + 99 = 5*u. What is the least common multiple of 8 and u?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - 11*w + 23. Let k be d(10). Let l = k + 847. What are the prime factors of l?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*o - 62024, 24469 = 2*r + 3*o - 99507. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 74 + 470 = 40*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7034, -7031, -7026, -7019, -7010, -6999, -6986?\nAnswer: -6971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16379\/1489*30\/(-11)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:32 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89865696 divided by -4.\nAnswer: 22466424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 6*r + 10*r - 4*r. Determine w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i + 2*i)*(0*i - 2*i + i)*(3*i**2 + 0*i**2 + 0*i**2).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 116 - 108 = 2*u, 4*m = 5*u + 186. Is 44 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137314\/1343 - 543\/79. Let g = 109 + j. Let w be 8\/(-12) + (-34)\/(-42). Which is the second smallest value? (a) w (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111121021 + -10201?\nAnswer: 10111110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3016\/(-232)*5\/5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y - 172799 = -191*y + 491821. What is the remainder when y is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 4. Suppose -4*o = 1 + 23. Let k(t) = t. Let d be k(3). Let f(q) = -5 - 6*q - q + d*q. Determine o*u(x) + 5*f(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - l**2. Let t(o) = -o + 7. Let c be t(7). Calculate z(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-70) - 243\/405.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 12*x + 24. Let q be j(-12). What is the greatest common factor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 + 308*j**4 + 352*j**3 - 3152*j**2 + 2496*j = 0. Calculate j.\nAnswer: -4, 0, 1, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 827 or 832?\nAnswer: 827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*k - 0*r - 18, 4*k + 5*r - 36 = 0. What is the least common multiple of 9 + (-28)\/3 + (-138)\/(-9) and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1407\/5 - -283. Find j, given that 0 - 16\/5*j**2 - 2\/5*j**4 + 2*j**3 + s*j = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.06744 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-28)*7\/(-2). Let y be (250\/(3 + 2))\/d. Suppose 5 - y = 4*n. What is the nearest to 1\/3 in n, -9\/4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*a = -7, 4*b = -0*a + a + 28. Suppose 0 = -f + 5 + b. Is 26 a factor of -4 - (-201)\/(f\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 29. Let d = g + 26. Let n = 6 + -9. Which is the smallest value? (a) d (b) n (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -882 + 471 = -137*c. Sort 7, -71, -5, c.\nAnswer: -71, -5, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 153.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/27, 1\/3, -0.3, 1, -1\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21082, -41990, -62898, -83806, -104714, -125622?\n\"Answer: -20908*j - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 6:39 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 5253561 = 45*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429295.\nAnswer: 3, 5, 11, 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = a + 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2255 divided by 205.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -31\/5, -1\/20, 3\/4?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/(-9) - -2)*-6. Let m be n\/5 + (-915)\/(-25). Suppose -5*k + m = 3*c, c - 5*c + 11 = -k. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71207618 divided by 61\nAnswer: 1167338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-3 - 10 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452997 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 2, n: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*s + 50*s + 16*s**2)*(-2*s + 6*s + s) + 0 + 0 - s**3.\nAnswer: 79*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1963*d + 14 = -1961*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 20414 = 3*c - 88477, -2*n + 72490 = 15*c. List the prime factors of n.\nAnswer: 5, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*y - 948*y + 4316 + 602*y - 5*y**2 + 604 - 1883*y = 0. What is y?\nAnswer: -492, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) 31 (c) 3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.5 plus -6581.84?\nAnswer: -6650.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*(sqrt(171) + sqrt(171) + 3) - sqrt(171)))**2.\nAnswer: 23328*sqrt(19) + 503820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 6*y + 2*y)*(1 + 2 + 0) - 1 - 7*y + 1.\nAnswer: -13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3509808 rounded to four decimal places?\nAnswer: 1.351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 bigger than 179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(147) + 1)*3.\nAnswer: -105*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1887054232 to 4 dps.\nAnswer: -0.1887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 + 275\/3. Find the common denominator of u and -137\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1653, -6601, -14847, -26391, -41233, -59373?\nAnswer: -80811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*n**4*t**2 - 307*n**2*t**2 - 123*n**2 - 3352*n*t**2 - 10*n - 2*t**2 + 1 wrt n.\nAnswer: -48*n**2*t**2 - 614*t**2 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 9:54 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + 5*r**2)*(-6*r + 3*r + 2*r) - 65*r**3 - 3*r + 2*r - 204*r**3 + r.\nAnswer: -274*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -548963134*j**4 + 39*j - 4045337.\nAnswer: -6587557608*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {v: 2, c: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(7) + sqrt(252) + -3)**2 + (1*sqrt(35)*1)\/(3*sqrt(605)).\nAnswer: -2639*sqrt(7)\/33 + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 78*3.3\nAnswer: 257.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 452 and 71077.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -395186, -396168, -397152, -398138, -399126, -400116, -401108?\n\"Answer: -u**2 - 979*u - 394206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -37. Let r = 2 + -2. Which is the nearest to v? (a) -0.1 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a44 - 342?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/434 and -81\/1246.\nAnswer: 38626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -3. Let q(j) be the first derivative of -j**2\/2 - 162. Let l be q(r). Solve 10 = -2*z, 2*z = l*p - 0*z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + (sqrt(468) - -1*sqrt(468)))\/sqrt(12))\/sqrt(3).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.119 in -5, 42, 3\/4, -658?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 710 + 269. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 7 + -11 + -5 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -587.314 - 0.786. Let d = 552 + g. Let l = 36 + d. What is the nearest to l in 2\/11, 6, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(-4) + 4\/(-16). Find the common denominator of 106*(3 - (d\/80 + 3)) and 339\/42 - (-3 - -6*1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -71*a + 10. Determine g(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 17 + 8*q**2 + 3 to l + p*q + r*q**2 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370225 is divided by 445?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -610, 4, 5, 0, -1\/13, 1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 6*w**2 + 2*w + w**2 - 7. Suppose 387*m = 439*m + 260. Let q(u) = 5*u**2 + u - 4. Determine m*q(h) + 3*y(h).\nAnswer: 2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 717894 = 3*d - 3*k, -d + 5*k - 2*k + 239294 = 0. What is d rounded to the nearest 10000?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(16\/(-6) - -2). Suppose -4*i - c = -i. Let d(r) = 2*r + r**3 + 2 + 7*r + 5*r**2 - 6*r. Determine d(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:09 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 2*s + 3*s)*(4*s - 2*s + 12*s)*(-2*s - 3*s + s).\nAnswer: -56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3 = 0, 5*u - 4 = -3*t + 2*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -6\/107, -0.89?\nAnswer: -6\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 13818674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11700)\/(-12220) + (-2)\/(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -28. Let n be (4 - -2)*y\/15. What is the second derivative of -17*g**n - 2*g**2 + 3*g**2 + 9*g wrt g?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 148 = -0*w. List the prime factors of w.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -183, -276, -369, -462, -555?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*b**2 + 6*b**3 - 12*b**3 + 7*b**3.\nAnswer: b**3 + 101*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/2183 + 8747\/6549. What is the smallest value in a, -2\/7, 1056?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 16553?\nAnswer: 13\/16553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Suppose 0 = 27*h + 12*h + 25*h. Let p(k) be the second derivative of h*k**3 + 3*k + 0 + 0*k**2 - 1\/2*k**4. Determine y(p(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12933362 to the power of 1\/2, to the nearest integer?\nAnswer: 3596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*r - 14, 4*a + 13 = a - 4*r. Solve -3*u + 2 + a = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/16)\/(2\/8). Let i = 27.23 + -24.23. Which is the third smallest value? (a) m (b) i (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-4)\/10 + 1585873\/95 + -22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130346647 to the power of 1\/2, to the nearest integer?\nAnswer: 11417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17263596 and -4.\nAnswer: -69054384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 6:35 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((522\/8)\/29)\/((-1)\/(-468)) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10 - 2*j**4 - 21 - j + 33 + 0*j wrt j?\nAnswer: -8*j**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -4 (c) -92 (d) -16 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 20*v**2 + 16*v - 54. Let h be o(-18). Let m = h + 1663. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*a - 6, 9 = 4*z - 3*a - 4. Suppose -2*l - 1 = -3. Let g = l + z. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167006229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9240893 minutes to nanoseconds.\nAnswer: 55445358000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 966305.5 milligrams in nanograms?\nAnswer: 966305500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 - 279051*y - 5303052 = 0. What is y?\nAnswer: -19, 93036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:08 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0256 plus -2?\nAnswer: -2.0256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - -2. Let v = -0.015 - 0.085. Put d, -0.3, v in ascending order.\nAnswer: -0.3, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*w - 68*w + 696*w + 36153 = 0 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-44)\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 1, a: 8, b: 2, g: 5}. Give prob of sequence cggn.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 8:21 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133912 is divided by 16733?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 74616546 - 4?\nAnswer: 74616542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.391291 + 0.991288. Let r = -0.5 + -0.1. Let w = r + q. What is w rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 2*i**2 + 3*i**2 - 27108*i**3 - 25231*i**3.\nAnswer: -52339*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(272) + 2)*-6 - 1*(sqrt(272) + -3))**2 + (-4 + sqrt(272) + (sqrt(272)*-1)**2)*-6*3 + 5.\nAnswer: 864*sqrt(17) + 41230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -25. Suppose -2*j - 10*o + 9*o = -11, j + 3*o = 8. Which is bigger: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**2 + 14*w + 35. Let q(k) = 4*k**2 - 7*k - 19. Let r(z) = 5*h(z) + 9*q(z). What is r(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 2:08 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-43)\/(2580\/(-64))*50\/4*87. Are v and 1160 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 935887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + 0.9. What is the second biggest value in 1, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 46)\/(-1)*(4 - 5). Let j = 17 + -11. What is the greatest common divisor of p and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 1)\/((-1)\/2) + 0. Let t(u) = u**2 + 3*u + 5. Let n be t(x). Suppose -3 = -2*h - n. Let c(o) = 6*o + 4. Give c(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1\/4 (c) 10828 (d) 5 (e) 1 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z - 22. Give u(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)\/m)**(4\/13)*(m**(-4)*m)\/(m*(m\/(m*m*m**19))\/m) assuming m is positive.\nAnswer: m**(173\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -141*a**2 + 52*a - 99. Determine m(2).\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 9 = -28*b - 15*b + 33 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -608 + -4?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*r - 79, 2*r + q + q - 36 = 26 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 163 + 148. Let c = -12.6 + 13. Sort g, c, -2\/9, -0.3 in increasing order.\nAnswer: g, -0.3, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:32 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 352874758 a multiple of 3450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-609)\/812*19\/((-1463)\/(-15624)) - 2\/(-11).\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.86 * 2.32.\nAnswer: -55.3552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**5 - 19020*m**4 + 136*m**2 - m + 49 wrt m.\nAnswer: -240*m**2 - 456480*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(-2*sqrt(252) + sqrt(252) + sqrt(252)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/28 - 2490\/6972. Let 0*f**j + 1\/5*f**3 + 0*f + 0 = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1. Let z(i) = -i**3 + 7*i**2 + 8*i + 7. Let g(c) = 2*u(c) + z(c). Calculate the remainder when (4\/5)\/((-4)\/(-40)) is divided by g(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 11. Let l = o - 11. Let b(g) = -g**3 + 7*g**2 + 10*g. What is the remainder when 31 is divided by b(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let f = -6 - 4. Let u(s) = -s**2 + 2*s - 2. Let z(r) = 3*r**2 - 5*r + 5. Let t(p) = f*u(p) - 4*z(p). What is g(t(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from {z: 1, i: 2, d: 1, g: 1, f: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 10761.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*w**3 - 2*w**3 + 2*w**3 + (-30 - 35 + 31)*((3 - 3 + 2*w)*(w**2 - 3*w**2 + 0*w**2) + 2*w**3 + 0*w**2 + 0*w**2) as y*w**2 + m*w + d + z*w**3 and give z.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58088976 + -58088974.66000283. Let b = v - 1.34. What is b rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 7:09 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 30 + 46640\/(-1672)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/2728 and -59\/992.\nAnswer: 10912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -145275 or -0.1?\nAnswer: -145275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 2 - 9 + 1 - y**2. Suppose -5*m + 10*m = 85. Suppose 0 = -4*i - 8, 4*i = -b - 4*b + m. Calculate z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/3 + 4*i**3\/3 - 5*i**2\/3 + 2*i\/3 = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-27)\/(-12) + (-1)\/4. Let o(g) = 0*g - 2*g + 7797*g**h + 3036*g**2. Let a be o(-6). Round a to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/6448228 and -53\/2456?\nAnswer: 12896456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 - -432. List the prime factors of i.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3348*v - 1239 = -139364 + 7334 - 29913 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*30\/(-12)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 7*h**2 - 7*h - 1. Suppose -c + 8 = 4*s - 1, 2*s + c = 5. Let f be b(s). Put f, 4, -2, 1 in decreasing order.\nAnswer: f, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19363641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - n = -226, -w + 50 = -51*n + 48*n. Calculate the highest common factor of w and 441.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 12431\/11234?\nAnswer: 12431\/11234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 3\/2 (b) 0.3 (c) 2 (d) 0.62 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 5) to base 11\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -2*j - 4*w, 3*j - 3*w + 20 - 11 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6539 divided by 11.\nAnswer: -6539\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -700892.85 and -4.\nAnswer: -700896.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y + 423 - 23 + 250 = 0 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 237096 divided by -1\nAnswer: -237096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 15*k**2 - 16*k - 6. Let p = 0 + -1. Let n be -5 + 3 - 13 - p. Is r(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 99?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -19, 0, -0.035 in increasing order.\nAnswer: -19, -0.035, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -220199 or 1\/6?\nAnswer: -220199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/(s\/((s*(s*s\/(s*s**12))\/s)\/s)))\/(s*s**(-4)*s**(-3)) assuming s is positive.\nAnswer: s**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -107*s + 4. Let z(x) = -8880*x + 333. Let o(f) = -333*k(f) + 4*z(f). Let l(i) = 3*i**2. What is o(l(b))?\nAnswer: 333*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -249 and -14.\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 385*c + 322 wrt c?\nAnswer: 385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 2*j - 6. Let w(h) = -2*h**2 + 4*h - 11. Let i(b) = -3*w(b) + 5*y(b). Calculate the remainder when 6 is divided by i(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -4, -115, -2101 in ascending order.\nAnswer: -2101, -115, -4, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.3 + 1.6. Let g = n + 1. Let c(a) = -2*a - 73. Let u be c(-35). Put g, u, -2\/9 in descending order.\nAnswer: g, -2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2574672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - d + 0)*((-d**2 - 3 + 3)*(6 - 6 + 3*d) + 51 - 30*d**3 - 51).\nAnswer: 33*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -716.4 rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19329 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5\/4 + 9*h**4\/2 + 15*h**3\/2 - 39*h**2 - 315*h\/4 - 75\/2 = 0. Calculate h.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 - -18)\/((-3)\/(-2)) + 538 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-60)\/25))\/(3\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -644*z**3 + 3*z**2 + 6*z + 19. What is the tens digit of o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2432 by -608.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - y)*(-y**2 - 2 + 2) - y**2 + 2*y**3 + y**2 + (-3*y + 4*y + 1 - 6*y)*(-1 + 3 + 0 - 2*y**2).\nAnswer: 11*y**3 - 2*y**2 - 10*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 74. Is (600\/(-70))\/(2\/x) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 7*r - 3. Let l = -13 + 18. Let v be x(l). Let s(q) = -3*q + 6*q - 9*q - 4 + v*q. Calculate s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 - (4 - (-2 - 0)) - -11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2 and 51223461?\nAnswer: 51223459.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 117.123. Let v = k + -5.577. Let w = 2.7 + v. Which is the second smallest value? (a) -2\/7 (b) 0.05 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 4) to base 9.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*g**3*i - 4*g*i**2 - 2*i**2 + 15*i wrt g?\nAnswer: 27*g**2*i - 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 55*y + 27. Let h be d(23). Suppose 54 + h = 4*l. Suppose -6*t = 2*t - l. Solve t = 4*r + 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 7*b + 9914788 = 2723905. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4 + 72. Let k(p) = -p**2 - 8*p + 10. Let b be k(-9). Calculate the remainder when b + (-49)\/(0 + -1) is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -1882, -18, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 3*o - 61. Let l = -101 - -105. Solve o + 4 = -l*b + 2*z, 6 = -2*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 - 22*m\/5 - 4.\nAnswer: -2*(m + 1)*(m + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/13 (b) -56 (c) -37.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 5*i + 12)*(-19 - 4 + 6)*(-7 - 15 - 51)*(-2*i + 3*i - 2*i).\nAnswer: 6205*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7475799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10)*200\/(-36). Let y = -55\/18 - k. Calculate the common denominator of -21\/8 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170774 is divided by 56919?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 8) + 13 - (7 + (0 - (-1 - 2)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 102 times -11\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -74. Let s = -441638.13 - -441678.130017. Let f = m + s. Round f to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126352655*m**3 - 56828469*m**2.\nAnswer: -758115930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 17105.86657 and 33450.\nAnswer: 50555.86657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 - 3*s - 3. Let q(b) = -5*b + 2*b - 21*b**2 - 2 + b + 24*b**2. Let d = -12 + 10. What is d*g(a) + 3*q(a)?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-71)\/(1 - 84\/91). Let o = -883 - c. Solve 4 = 36*p - o*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 5*j**4\/12 + 11*j**3\/2 + j**2 - 116*j. Let m be w(-7). What is the highest common factor of m and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1173*j**3 + 374*j**2 - 6*j - 12. Let c(a) = -2*a**3 - a - 2. Let i(v) = -6*c(v) + s(v). What is the third derivative of i(w) wrt w?\nAnswer: 7110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j - 4. Factor 4*p**2 - 2*p**5 - 8*p**3 - 6*p**4 + 2*p**3 - 6*p**j.\nAnswer: -2*p**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 55*p + 5. Let c(y) = 27*y + 2. Calculate 10*c(o) - 4*u(o).\nAnswer: 50*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.61 + -5.61. Which is the fourth biggest value? (a) m (b) 2 (c) -1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163016443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 294 + -184. Let x be q\/25 - (13\/(-5) + 3). Suppose 2558 = x*p - 3*b + 643, 2 = -2*b. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 - m**3 - 1897*m**2 + 1897*m**2.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 581 and -0.4?\nAnswer: -232.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39440604 divided by -996.\nAnswer: 39599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1 + n - 3 - 4*n + 5*n. Let v be a(3). Suppose 0 = i + 3*i - 12. Sort -4, v, i in ascending order.\nAnswer: -4, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 1882*m + 4051793. Give o(-1281).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -6, -3, 0, 3, 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2295 * 0.76891\nAnswer: -0.176464845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6)*-2 + sqrt(6)) + 2.\nAnswer: -sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -14 - -13 - 47 - -13?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2910\/1660)\/(279\/120). Let t = 84\/83 - u. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6819 is divided by 757?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -624, -1360, -2390, -3714, -5332, -7244?\nAnswer: -9450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/6 - 6*u + 38\/3.\nAnswer: -(u - 2)*(u + 38)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - (2 - 3))*96\/(-9). Suppose -2*x = 5*p - 130, -7*p = -4*p + 4*x - m. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07225 - -0.074. Round d to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 16. Let k be z\/14 - 88\/(-14). Calculate the greatest common divisor of k and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 20 in decreasing order.\nAnswer: 20, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*p + 11, 0 = -u - 3*p + 4*p + 5. Solve 6*a + u = 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 23 + 2 = 0. Suppose 3*x - 5 = -2*r + 5, 0 = n*x. Suppose 9*j + 80 = 13*j. Solve 0 = r*g + 2*f + 19, 5*f - 5 - j = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 - 16144*n**2\/3 + 48418*n\/3 - 32276\/3.\nAnswer: 2*(n - 8069)*(n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 3*q**2 - 4*q. Let x be l(-4). Suppose 5*n - 19 = -0*n - r, x = 5*r - 20. Solve 4*k + n*f = -18, 0*k + k + 7 = -2*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 9:53 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009234 is divided by 381?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 97230, 96982, 96574, 96012, 95302, 94450, 93462?\n\"Answer: w**3 - 86*w**2 + 3*w + 97312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563*q - 552*q + 2*q**3 + q**3.\nAnswer: 3*q**3 + 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4.814 - 25557186\nAnswer: -25557181.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 768.9 + -840. Let k = d - -71. Put k, 0.4, 0.18 in decreasing order.\nAnswer: 0.4, 0.18, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/20 + 1\/28. Let r be ((-74)\/(-42))\/(220\/(-76)). Let i = r + 2\/231. What is the smallest value in u, i, 5\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103.2735 - -0.04\nAnswer: -103.2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*((-40)\/(-21) - 2). Let f = 0.4 - 0.7. Which is the second biggest value? (a) f (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1718969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 1?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4)\/z)**25\/((z**(3\/2)\/z)\/z*z*z**(-1\/2)))\/(z*z**(-8)*z**(-4)\/z*z\/(z*z*z*z*z\/z**(-4\/7))*z*z**4) assuming z is positive.\nAnswer: z**(-201\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**2 + 23*b - 36. Let y be r(4). Calculate the greatest common divisor of 72 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -940 + 1387. What is the common denominator of -143\/12 and w\/30 + 3\/(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 + -3 + 3. Solve 2*t = 2*u - 2, j*u - 4*u - 5*t = -9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26\/24 - 1)\/((-6)\/16). Let m(o) = 2*o - 2. Let z be m(3). Suppose 0 = -x, x - 2*x + 5 = j. Which is the smallest value? (a) j (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2, 3, -9.3559, 2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 24 = 2*v, 4*v - 6*v = 5*z + 31. What is the common denominator of -58\/15 and v*(16\/48 + 2\/(-5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180825?\nAnswer: 3, 5, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546 a factor of 14686868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 1.8. Let h = 15.7 + o. Let m = h + -13.9. What is the third biggest value in m, 5, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/2)\/7*(-2)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32595421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvnvnnvnnvvnnnvnvv. Give prob of picking 3 n and 1 v.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1379.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87651678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -320 (base 4) to base 14\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -34. Let w = j + -16.9935. What is w rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(1 + sqrt(500)) - sqrt(500))**2 - (4 + 1 + sqrt(500) + -2).\nAnswer: 830*sqrt(5) + 24531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130290 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -69963300 to the nearest one million.\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*b + 4 = 1456 + 902 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**1*d))**35)**(-25\/4) assuming d is positive.\nAnswer: d**(875\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4485924*q**4\/5 + 4481688*q**3\/5 + 847*q**2 + q\/5.\nAnswer: -q*(q - 1)*(2118*q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 244 + -10430133?\nAnswer: -10424334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20956 and 1378?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 834944 and 236014?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 751632.73 to the nearest 10000.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + -17. Let b = -49 - n. Solve b*g + 24 = 3*y - g, -2*g - 26 = -5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 2}. Give prob of sequence rr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 - 22*c - 456. What is the remainder when n(-11) is divided by 136?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 12883 (c) -17 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2744, -2726, -2708, -2690, -2672, -2654?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 + 6478*s**4 + 5539342*s**3 + 468311570*s**2 - 953267088*s + 479409696 = 0.\nAnswer: -1572, -97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h + 243 - 4*h - 2*h**2 + 63*h - 208 + 27*h.\nAnswer: -2*h**2 + 106*h + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f - 4*f + 5*f + (4*f + 2*f - 4*f)*(-5 - 5 + 3) + (6*f - 5*f + 2*f)*(0 + 1 + 1).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -74. Suppose q*v - 2 = 12. What is the highest common divisor of 11 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -7. Let b be -4*(-3)\/6 + m. Do b and 3\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -6 - 3) + -11 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 28*g**2 - 17*g**2 - 16*g + 14*g to m*g**2 + v*g + z and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*x - 5*j, 2*j + 15 = -2*x - 7. Let z be x\/((2\/(-1) + 4)\/4). Let d be 0 + -2 + (-12)\/(-7). Sort z, d, 0.4.\nAnswer: z, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -10098 (b) 4 (c) -1\/10 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**38)**(-48)*(q\/(q**(-7)*q))**6 assuming q is positive.\nAnswer: q**(-1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -2 - (-7 + 5)) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2733\nAnswer: -4\/2733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(216)*5.\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 64?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 3:59 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 4*o**2 - 2*o - 4. Let w be i(4). Let z = w - -17. Let p be (-20)\/(-25) + (-1 - 0). Which is the smallest value? (a) z (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5875 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 <= 1774\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -8. Let w = 27 - g. Let j = w + -12. Which is greater: j or 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -74, -71, -68?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9)\/(102778\/27612)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -15, -4*u = -c + 2*c - 967. What are the prime factors of (60\/45)\/((-484)\/u - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1354942*l - 18969195. What is o(14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682266306?\nAnswer: 2, 7, 120161879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*w - 45, -5*w + 8*w - 18 = -2*a. Let q be ((-99)\/5)\/((-2)\/10). What is the highest common divisor of a and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 359774.\nAnswer: 1439096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371824 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174*(-17)\/(-663) - (-2 - (3 - 1)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3418.\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -2\/7, -0.1, 0.4, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1 - 1)*-2. Let n be -2 - (1 - m) - -1. Solve -v = -b + v - 6, 3*b - 5*v + 17 = n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -3*n - 1\/6*n**3 + 0 - 2*n**2. Suppose 0 = 4*u - 11 + 35. What is j(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of c**5\/20 + c**4\/2 + c**3 + 3*c**2 - 8*c. Let h be 3\/(-9)*(-2 + 17). Give n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1458a (base 12) in base 3?\nAnswer: 1110001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 78\/835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11113 is divided by 1575?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 12*a = -18. Let c(y) = -a + 1 + 6 + 1 - y. Let v(l) = 2*l**3 - l - 1. Let o(u) = -u**3 - 7*u**2 - 6*u + 1. Let m be o(-6). Give m*v(f) - 2*c(f).\nAnswer: 2*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 35. Let o be k(-7). Let q(r) = -r + 3. Let v be q(2). Let m be 3*(-1 + (v - -1)). Solve -m*s + o = 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 9618?\nAnswer: -960b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p = 9*p + 5043. Let c be ((-3)\/(-2))\/((-6)\/296). Let n = c - p. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -154?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (12\/6)\/2. Solve 0 = 2*t - 4*x - 10, -t + 25 = m*t - 5*x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*m = -63*m - 3. Let y(f) = -3 + 6 - 2*f**2 + 5*f - 2. Let h(d) = -d. Calculate m*h(c) + y(c).\nAnswer: -2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c - 1354 - 2*c**2 + 1354 to the form o*c + b*c**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*r - 8 - 2 = 0, 4*n + 4*r = 28. Is (n\/2)\/(2\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bubbbbbbbbbbubbbbbbu?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 28*j**5 + 4748*j**4 - 41332*j**3 + 119572*j**2 - 134280*j + 51264 = 0.\nAnswer: -178, 1, 3, 24\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -42) + 259\/148 + -37.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -529064 divided by -8.\nAnswer: 66133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -15, 0 = -0*d - 4*d + q - 13. Let l = -28 + 26. Is d at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.87 + 0.17. Let r = 1.73 + t. Let k = -308\/5 + 62. Is r at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -263 - -249 - (9 - 2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 11*z**2 - 6*z + 12. Give s(-11).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 18 = -18*a. What is the hundreds digit of 4 - 2*(a - 518)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1331 - 195*l - 1170*l**2 - 30*l + 1330 wrt l.\nAnswer: -2340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 43*n**2 - 160*n - 157. Give a(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 27. Determine n(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**5 + 0 + 0)*(0 + 3 - 8).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -143 - -140.18. Let d = b - -2.4. Let a = -0.42 - d. What is the biggest value in -5, a, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2 - 2)*(8390 - 2114 + 15668 - 886).\nAnswer: 21058*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12100.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - -234?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -11. Let u = -4 - p. Let i = 4.5 + -2.6. Which is the second biggest value? (a) i (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -10, -6, -1, -3, 3, -16.\nAnswer: -16, -10, -6, -3, -1, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2154, -7284, -21224, -48378, -93150?\n\"Answer: -734*m**3 - m**2 + 11*m - 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 - -2*3\/2. Suppose v = u + 7*z - 3*z, 3*u - 7 = 4*z. Suppose 2*w - u*w = -27. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15384.7 centuries to decades.\nAnswer: 153847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3460578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/(-185))\/(72\/(-135))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (51\/2)\/((-108)\/(-1008))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (198\/(-144))\/(899014\/(-936) - -1). Let p = -1\/1789 - m. Let v = 20615\/16566 + p. Calculate the common denominator of -62\/27 and v.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*c + 3. Suppose -c*t + 8 = -5*t. Let g = 5 + t. What is the biggest value in 1\/2, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1409*u**3*z**3 - 8*u**3*z**2 + 1760*u**2*z**2 - 32*z**4 wrt z.\nAnswer: 8454*u**3 - 768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 3445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -370a95 + 1?\nAnswer: -370a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - a)*(-715 + 521 + 666)*(0*a - a - a).\nAnswer: -1888*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*u - 62 = p, -3*p = -3*u - 93. Suppose b + 33 = h, h - 3*b - p = -b. Solve 15 = 10*v - h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92*h + 13*h**3 - 92*h)*(-4 - 9 - h - 13) - 2*h**2 + 2*h**4 + 2*h**2.\nAnswer: -11*h**4 - 338*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + (-19 - (5 + -53 + 17))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**7\/70 - 3*i**6\/8 + 83*i**5\/20 - 201*i**4\/8 + 90*i**3 - 462*i**2. Suppose x(h) = 0. What is h?\nAnswer: 3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37 + -29 - (-91)\/(-6) and 38\/31?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20627 is divided by 2283.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 895*d - 8266 + 3110 = 8269 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 494\/17?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/19 - -3\/76. What is the third biggest value in o, -5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + u - 1. Let m(c) = -15666*c**2 + 12309*c - 12309. What is -2*m(q) + 24618*v(q)?\nAnswer: 6714*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 87953, 87975, 87999, 88025, 88053, 88083, 88115?\n\"Answer: g**2 + 19*g + 87933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-12)\/u**(1\/3))**(1\/15)*(u\/(u\/(u\/(u*u**(-2\/13)\/u*u))))\/u**3*(u*u*u**(-1\/12)*u*u)\/u*u\/(u\/(u*u\/(u**(-2)\/u*u))) assuming u is positive.\nAnswer: u**(7601\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 6*a**2\/13 - 944*a\/13 - 1590\/13 = 0.\nAnswer: -5\/3, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 16. Let u be (1 - (2 + -1)) + -3. Let j be 2 - (-6 + (-15)\/u). Solve -j*n + g = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14923418 divided by 14923418.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -88.2575.\nAnswer: 87.8575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3452)\/(-346))\/2 + 2 + -7. Let m = v + 533\/1211. What is the nearest to -2\/3 in 6, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/102203?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31218)\/387)\/121*45\/(-4)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*p - 5 - 2, -p - 11 = -2*u. Suppose -v + 6*a - 9*a + 183 = 0, -u*v + 494 = -2*a. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*j - 2605, -2*c + c = 3*j - 2605. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 + 4.43. Sort m, 0, 5 in decreasing order.\nAnswer: 5, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 1 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 5*f**2 - 8*f + 8. Give k(6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 7*q**2. What is b(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 13648?\nAnswer: 13653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 2*f - f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.281*-1.\nAnswer: -0.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/6)\/b)\/b*(b*b*b**(-3\/20))\/b assuming b is positive.\nAnswer: b**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 7*o**2 - 7*o + 4. Let y be q(-6). Let p(m) be the first derivative of -2*m**2 + 35*m + 137609. Give p(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**5\/60 + 3*y**4\/8 + 2*y**3 + 2*y**2. Let k be q(9). What is the greatest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3260879632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -464546.\nAnswer: 5574552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/11)\/((c\/(c*c**(-1\/3)*c))\/c))**(-2\/77)*((c\/(c*((c*c**(1\/3))\/c)\/c*c)*c)\/(c*c**(-2\/3)))**(2\/9) assuming c is positive.\nAnswer: c**(1028\/22869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4102 (base 5) to base 7\nAnswer: -1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 9. Let g be n(3). What is the remainder when 28 is divided by (-370)\/(-22) + (g\/33 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 31617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - j = -0*j + 26, -t = 3*j - 2. Put 4, t, 0 in ascending order.\nAnswer: 0, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1298959571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 73.7, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 9. Does 8 divide j(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/5 of a century?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4))**(-12\/7)*(x*x**(-4)*x*x*x*x)**(-6) assuming x is positive.\nAnswer: x**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 293768? (a) 0.05 (b) 4 (c) 3\/5 (d) 0.5 (e) 6.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 278 by -11.\nAnswer: -278\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 508826256 to the nearest integer?\nAnswer: 22557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.057 * 2.79.\nAnswer: 0.15903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 91879900, 183759801, 275639702, 367519603, 459399504, 551279405?\n\"Answer: 91879901*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 87*v - 2164. Determine g(-67).\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -40447692 divided by 6837\nAnswer: -5916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-2))\/16)\/((-4)\/(-8)*2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1da90 (base 14) in base 5?\nAnswer: 4414144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**2 - 1076*t + 13688. Determine n(13).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 8 = -4*p, -4*w = -23359*p + 23357*p + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**1)\/m**(-1\/9) assuming m is positive.\nAnswer: m**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + g - 1208, 174 - 158 = 2*g. Calculate the greatest common divisor of h and 1975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-12\/11)\/((u*u**17)\/u*u) assuming u is positive.\nAnswer: u**(-210\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 14 (b) 2\/57 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 n when three letters picked without replacement from {y: 1, c: 2, u: 7, n: 3, p: 1, f: 3}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 321512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*a**2 - 53*a - 67*a**2 + 129*a wrt a?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w + 0*w + 35*w + 1138 + 14650.\nAnswer: 29*w + 15788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12245 - 34455?\nAnswer: -22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1110 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 17 = 3*a, -3*o - a + 16 = 4*a. Let f be 23\/(-42) + (-2)\/o. Let y = 0 + f. Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1347381.54ms to days.\nAnswer: 0.01559469375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -36*v. Let f(n) = 16*n**2. What is f(l(t))?\nAnswer: 20736*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 315 + -972. Is -656 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/14*(-4)\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003373298371 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, e: 2}. Give prob of sequence cece.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 515069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96 - 96.58. Round p to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2492 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 2*q**3 + 7*q**2 + 20*q + 12.\nAnswer: -(q - 3)*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013736148 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 4. Let v(s) = -2*s + 1. Suppose 0*h + 6 = 3*h. Let u be v(h). Let y be t(u). Let d(b) = 2*b**3 - 2*b**2 + 1. What is d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 2 - -2) + 1. Suppose 0*a = b*a - 3. Suppose 3*l - 2*l = a, 2*m - 2*l = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*y**4 - 127*y**3 + 127*y**3 + 35*y**2 wrt y.\nAnswer: -360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - -67. Suppose a*m - 145*m + 74 = 0. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-3)\/sqrt(2)*5)**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15225, 15223, 15221, 15219?\n\"Answer: -2*s + 15227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 197372 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 108*j + 12. Let r be i(0). Solve r*f + 34 = -14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + u - 276 = 0, 0 = -5*x - 5*u - 370. Let y = 65 + x. Which is the closest to 0.3? (a) -2\/9 (b) y (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*r - 17 = 0, 3*r - 5*r = -8. Let i = 469\/90 + -46\/9. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, i: 4, k: 2}. Give prob of sequence iiki.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 648?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(12\/2685))\/((-1)\/4). Suppose -2243 = -3*q - 2*q + 4*h, -h - b = -4*q. Is q\/15 - 3\/45*-3 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63? (a) 5 (b) -0.4 (c) 0.25 (d) -6 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2722, 1, 20\/9, 0 in decreasing order.\nAnswer: 20\/9, 1, 0, -2722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3. Let i(t) = -t**3 - t**2 - 1. Give 2*i(u) - j(u).\nAnswer: -4*u**3 - 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*-1*-3*24\/270.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 3*d - 184241*d**3 + 184239*d**3 - d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.4 - 6. Let l be ((-36)\/(-4))\/3 - 83. Let a be 4 + (l\/36 - 2). What is the second smallest value in 4\/3, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.71 - -79.29. Let d = m + -119. Let y = 38.68 + d. Round y to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 15. Let b be g(0). Suppose -2*q - f = -0*f - 9, 5*q - 5*f + b = 0. Solve 0 = -2*p - q*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -4, -9010, -34 in descending order.\nAnswer: 4, -4, -5, -34, -9010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -311, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 10*i**2 - 7*i - 7. Let f(w) = w**2 + 13*w + 9. Let c be f(-13). Let h be b(c). Suppose 10 = h*m - 6*m. Put -3, 4, m in descending order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let p(v) = -13 + v + v + 6 + 36 + 4*v. Give p(r(q)).\nAnswer: -6*q**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/2, 629391\/13, 1\/9 in ascending order.\nAnswer: 1\/9, 25\/2, 629391\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 762, 2026, 3290, 4554, 5818?\n\"Answer: 1264*m - 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009413469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11204 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20295397.956551829 + -20295398. Let v = k - -83.043456071. Let r = 83 - v. What is r rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -439 - 89. Let q = s + 896. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105307372 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.24 and -20.8.\nAnswer: -4.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 4*c**2 + 7. Let r be q(-3). Let x be (-1 - -1 - 0)\/r. Suppose x = 10*g - 17 - 23. Solve -4*j = g - 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 263, 1, 11, -4 in decreasing order.\nAnswer: 263, 11, 8, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -218.405 and 9.\nAnswer: -1965.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1356*n = -1406*n + 4902550. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16507523969\/7023264 - 23\/438954. Let k = 2351 - c. Calculate the common denominator of k and 4542\/756 - (-4)\/(-14).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1098 + 1118. Calculate the remainder when 236 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 113, -6, 9186?\nAnswer: 9186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -0.055, -3743?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 74998.85um?\nAnswer: 0.00007499885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(sqrt(91) - -6*sqrt(91)*-2)\/(2*sqrt(175)))**2.\nAnswer: -11*sqrt(13)\/5 + 1673\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 187662427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303 by 1492701.\nAnswer: -101\/497567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1458*f**3 + 6657 - 1651*f**2 - 6657 wrt f.\nAnswer: 8748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**2 - j - 1. Let b be (45\/30)\/(2\/(-32)*-12). Determine u(b).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1349 (b) -106 (c) -2 (d) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + 0.7. Let v = 164 - 165. What is the second biggest value in v, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -11. Let y = -17 + f. Let w = 13.45 - 29.45. Which is the third biggest value? (a) w (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - n + 1. Let f(j) = -8*j**2 - 3*j + 5. Determine 4*f(g) - 18*s(g).\nAnswer: 4*g**2 + 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:45 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m + 158 - 158 + 7*m + 5*m. Let u(v) = 4*v**2 + 3*v - 3. Let a = 0 - 1. Let c(h) = h**2 + h - 1. Let y(d) = a*u(d) + 3*c(d). Determine i(y(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4686614, -26.\nAnswer: -26, 0.3, 4686614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 28 = 21*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 - 25899?\nAnswer: -258bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10456120 to the nearest integer?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -17*p. Let n(z) be the second derivative of 545*z**4\/12 - 5866*z. Give a(n(u)).\nAnswer: -9265*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 2*b**3\/15 - b**2 - 12*b\/5 - 33. Factor k(w).\nAnswer: 2*(w - 6)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*k)*(48 - 28 - 98)*((10 + 4 - 20)*(1 - 3*k - 1) + (-2 + 7 - 1)*(-k + 6*k - 3*k) + 2*k + 2*k - 3*k) in the form m + i*k + g*k**2 and give g.\nAnswer: 4212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4611 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1393*t - 2826*t + 1431*t + 2*t**2.\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 21 = 5*d + 1199, 3*d - 1154 = -h. Does 32 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*223.11.\nAnswer: -1115.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8692820 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 0.06643?\nAnswer: -0.26643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -10*s + 5. Let k(l) = -2*l + 1. Let u(v) = 22*k(v) - 4*r(v). Let w be u(-2). Suppose 0*j + w = 2*j. Solve 2*d = -j*o - 11, -3*o = -d - d - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*z + 2*h, 15 - 25 = -5*h for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119369 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 4 - 12 + 17*s - 29*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-1 - (-201 + 14). Let p = f - 210. Let l(g) = g**3 + 26*g**2 + 24*g - 26. Calculate l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -7, 1247, 140.\nAnswer: -15, -7, 140, 1247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4060942 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*y**2 - 11*y**3 + 91*y**2 - 23*y**3 + 2*y**3.\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r + 0*r + (0 + 4 - 5)*(4*r + 0*r - 2*r))*(0 + 0 + r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112527.\nAnswer: 23, 53, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/1)\/(26\/39). Solve -3*y = -2*p + h, 3 = -2*p + y + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 431000 + 361.\nAnswer: 431361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/4)\/(5\/(-4))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2. Let x(r) = 107*r + 9. Let t(j) = -321*j - 31. Let b(m) = -2*t(m) - 7*x(m). Determine k(b(l)).\nAnswer: -22898*l**2 - 428*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (14\/12)\/(336\/756)*(7 + 1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 5*g**2 - g**2 - 4*g**2 + 3*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 10, 180, 1.\nAnswer: -24, 1, 10, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6874*g**3*p**2 - 85*g**3 - 6*g**2*p**2 - 147*g**2*p + 14*g**2 - 9*g*p**2 wrt p.\nAnswer: -13748*g**3 - 12*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*n + 23 - 195*n - 201*n - 44 + 21.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 519469 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 562. Suppose -4*w - 391 - n = -5*r, -r + 3*w + 180 = 0. Let j = r - 47. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwilwwiiil. Give prob of sequence lil.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 7*d - 12.\nAnswer: -(d + 3)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 2)*(s - 1 + 1)*(-4*s + 6*s - 3*s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8370 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/48*0 + 0\/2. Suppose g = -5*w - h + 143 + 73, 4*h - 28 = -w. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -103?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39884.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115549 * -2.3.\nAnswer: -265762.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-3)*z*z**(-30)*z**(5\/4)\/z**(-8))**(9\/13) assuming z is positive.\nAnswer: z**(-567\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 725.3 and -0.2.\nAnswer: -145.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 9 + 13*p**2)*(33*p - 34*p + 59*p)*(4 + 2 - 4) in the form m*p + z*p**3 + l*p**2 + n and give z.\nAnswer: 1508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2800 - 920 = 10*d. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1419 + 7603 = 8*b. Let a = b + -758. Which is smaller: a or 19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 4. Let r be h(3). Suppose -r*w - 3*p = 143 - 565, -1 = p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 830, -70, 3, -3 in descending order.\nAnswer: 830, 3, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5 + 0*j - 1\/5*j**2.\nAnswer: -(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, -244\/9, 1\/3 in descending order.\nAnswer: 1.7, 1\/3, -244\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**8\/48 - 19*b**7\/210 - b**6\/8 - b**5\/60 + b**4\/12 + b**2. Factor r(d).\nAnswer: -d*(d + 1)**3*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 10*q - 1. Let r(a) = 10*a + 7. Let f(u) = 4. Let n(i) = 2*f(i) - r(i). Determine -4*d(y) - 3*n(y).\nAnswer: -10*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010210 + 112?\nAnswer: -2010021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0.2, 5, 19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010041 rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2065.164 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a + 0*a - a)*(-22 + 16 - 11 - 32).\nAnswer: -196*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.2479 times -0.64?\nAnswer: -37.278656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 4\/13, -0.17.\nAnswer: -2\/7, -0.17, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4117*r**2 + 1081*r**2 - 1062*r**2.\nAnswer: -4098*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25904432 + 0.\nAnswer: -25904432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-455)*5)\/(((-18)\/252)\/((-3)\/7))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/10317867?\nAnswer: -1\/10317867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from igiiigigiggigg?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhu. Give prob of sequence unh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196 - -196. Is 2\/1051 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7.5 (b) -4 (c) 0.4 (d) 4 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 10*l + 4. Let c be s(-8). What is the smallest common multiple of 12 and (-2)\/c + 0 - 94\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 + 41 = 13*t. Calculate the remainder when 217 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63.45 + -62. Let b = 0.85 + u. Let x = b + -3.1. What is x rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*6208177\nAnswer: 620817.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times 244923?\nAnswer: 12980919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -69993.7 rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 5*j**3\/6 - j**2 + 4*j. Let q(r) = -11*r + 4. Give 6*q(b) + 13*z(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101300 - -10231?\nAnswer: -31003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*r + 114, 5*k - 4*r = -3*r - 147. Let f be 16\/k*1*(-120)\/144. Factor f*o**3 - 2\/9*o**2 - 2\/9*o**4 + 0*o + 0.\nAnswer: -2*o**2*(o - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -1188?\nAnswer: -1190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:41 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*f**3 - 16*f**2 + 58*f**2 - 15*f**2 - 24*f**2.\nAnswer: 69*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(5\/2)*d*d*d**2)\/(d**(-16\/3)*d*d**8) assuming d is positive.\nAnswer: d**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 306 = 336 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11659*-0.4.\nAnswer: -4663.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.3 + -0.3. Let b = 0.051 - -2.949. What is the second smallest value in 1\/3, b, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**9\/8640 + d**8\/20160 - d**7\/5040 + d**5\/20 - d**2. Let t(z) be the third derivative of r(z). Give t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/351 and -5\/459.\nAnswer: 5967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*d - 96*d + 197*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(2760\/1127))\/(14\/6).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*l**3 - 140*l**2 - 149*l**3 + 21*l**3 - 3*l - 137*l**3 wrt l?\nAnswer: -1422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-168)*98)\/(4\/18*-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-4 - -9) + -1 + -2 + 6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -21*z + 295. Give t(41).\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582*m = -13*m + 162*m + 15981 - 59841 for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330115, 330129, 330153, 330187, 330231, 330285?\nAnswer: 330349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1557.845374 rounded to the nearest ten?\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u + 3. What is r(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 + -128. Solve -r + 4*u - 3 = 0, -r = k*u - 2 + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*v = 0, -4*j = 2*v + v + 3. Let b be 2\/((3 - j)\/3). Suppose 4*p + 2 - 14 = 0. Put b, -4, p in increasing order.\nAnswer: -4, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6260875267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.9 - 0.1. Let v = 25.0002 + g. Round v to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzurbuzuuucuu. Give prob of sequence uc.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231\/(-154)*(-384)\/(-1620)*9.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l\/(l*l**(2\/3))))**14*l**(-5)\/l*l\/(l*l**5)*l assuming l is positive.\nAnswer: l**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-15*m + 24*m - 4*m + 1).\nAnswer: -10*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 2, y: 4, x: 2, k: 2, q: 1}. Give prob of sequence kkh.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 12*c - 16. Let y(p) = p**2 + 10*p + 16. Let j(o) = 5*s(o) + 6*y(o). Suppose 2*f - 5*f = 0. Give j(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1795)\/2154)\/(1 + 27\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/((-1)\/(-3)). Suppose q*o + 0*o - 60 = 0. Solve 0 = -j - 5*a + 25, 0*j - 3*a + o = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u = -13*u - 30*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4253, -2, -2\/13, 0.3, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2990*s + 8. Let h be b(-3). Let r = -4785 + h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z + 10*z - 16*z + 6. Let f be n(-8). Let p(t) = t**3 - 5*t**2 + 3*t + 3. Let r be p(5). Calculate the greatest common divisor of r and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9430*k + 24771*k + 116007*k + 186463*k.\nAnswer: 317811*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 12*g**2 + 380*g - 2785. Calculate i(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*h + 55 = 118*h. Let j(p) = -260*p - 272. Let w(m) = -52*m - 55. Let g(z) = h*w(z) + 2*j(z). Find the first derivative of g(l) wrt l.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -701e (base 16) to base 12\nAnswer: -1473a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 76. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 + -12)\/(4 + 10\/(-2)). Which is the closest to -2? (a) 0.4 (b) -2\/241 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 183\/(-4) - 6\/(-8). Let n = -32 - j. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 693663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*j**3*z**2 + 123*j**3*z + 6*j**2*z**2 + 28*j**2*z - 2*z wrt z.\nAnswer: 42*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*o**4 + 1594728 + 0*o**3 - 1594757 + 2*o**3 to the form u*o**2 + w + l*o**4 + d*o + n*o**3 and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftmtfmfm. What is prob of sequence mf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let l(w) = -2*w + 4. Let c be l(i). Suppose -111*x = -247*x. Is c > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssdsssssd. What is prob of sequence dsss?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {y: 7, s: 2, a: 2, g: 6, i: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggfj when four letters picked without replacement from {n: 2, g: 2, b: 4, j: 1, f: 1, k: 2}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 34*h - 145. Let u be k(-29). Suppose u = 6*i - 29 - 7. Solve 2*d + 5*s = -i, -2*d + 10 = -2*s + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 3046464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 358\/27, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*z - 3. Suppose -31*g - 10 = 2*d - 35*g, -d + 4*g - 7 = 0. Do d and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/((-9)\/24). Let c(y) be the second derivative of 0 - y**2 + 1\/20*y**5 - 1\/4*y**4 + 18*y - 1\/2*y**3. Give c(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 - 22*z + 51. What is u(13)?\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36725 is divided by 593.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1205 + 3980 = 164*l - 4285 + 1484 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 12:16 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 435 and 133715.\nAnswer: 11633205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/171 and -93\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/12297 and -89\/2.\nAnswer: 24594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3*v - 8, 0*f - 3*v + 6 = -3*f. Put -2, f, 3 in increasing order.\nAnswer: -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60541779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/18 - u**2\/3 - 11*u. Find y such that l(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22285120 divided by -5357\nAnswer: -4160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**8\/336 + j**4\/8 - j**3\/2 + j**2. Let o(p) be the first derivative of n(p). Differentiate o(u) with respect to u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*125.1\nAnswer: -250.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 5. Let c(f) = 2*f**2 + 3*f - 4. Suppose 1 = 3*w - 2*p, -w = -3*w - 3*p - 21. What is the remainder when q is divided by c(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87675078 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.4308904139 + -20.4309. Round t to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -m - 2, 4*m - 1 = -u. Suppose -n - 32 = -u*n. Suppose -3*d + 3*q = -6, 4*d - 5*q + 1 - n = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*b - 1283 + 1547 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/7 - 203430*h + 2848028\/7 = 0.\nAnswer: -712007, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42688 and 10304?\nAnswer: 298816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-161 + 161 + 8*c)*(-2 - 2 + 0) to the form w*c + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 5091 = 4*d + 11*m, 2*d = 5*m + 2559. What are the prime factors of d?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**3\/9 + 339028*b**2\/9 + 47723984*b\/9 + 47384960\/9 = 0.\nAnswer: -84616, -140, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j - 3*j - 2*j)*(-j + 7 - 7) + 7*j**2 - 2*j**2 + 0*j**2)*((-2*j + 3*j + j)*(0 + 2 - 3) + 5*j - 3*j - 3*j).\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46441\/4 + 232213\/20. Suppose 5*c - c + 8 = 0. What is the closest to c in -3, g, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let l(q) = -2*q + 7*q - q. What is i(l(v))?\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffflflfllflll.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:58 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0)*-4 + -4 + sqrt(26)\/sqrt(2)*-6.\nAnswer: -54*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/28 + 51\/(-4). Let y = l - -15. Is 2 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let k(i) = -4*i - 16. Let p be k(-5). Solve 3 = -t*d, 4*d = p*s - 9*s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 8460.\nAnswer: 1\/1692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -925857 divided by -308619.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -340218*m**2 + 211467*m.\nAnswer: -680436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 324 + -62. Suppose -2*i - 194 = -0*m - 3*m, 4*m - 2*i = d. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*-3.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2709 = -140*w - 161*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -79\/4 (b) 0.5 (c) 0.04 (d) -0.1 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -161 (c) 10\/7 (d) -1 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4598 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -11370\nAnswer: -17\/11370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 19 - 13 = -3*k, -5*k - 4*d + 26 = 0. Solve 5*y - k*f = 5, -4*y + 5*f + 20 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-21)*(-12)\/(-8)*-4. Let c = 55.84 - -1.16. Let y = c - 70. Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 67 = 3*h. Let y(z) = 4*z + 2. Let d be y(5). Calculate the greatest common factor of h and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.71 or 3?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + -5. Calculate the common denominator of -1 - (-3)\/(-16)*t and (4\/14 - (-7015)\/(-1449))\/(2\/6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5479\/10 - 542. Find the common denominator of ((-238)\/32)\/(5\/(-4)) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*v + 53, 0*v + v - 4*c = 25. Let z be 6\/(-3 + v\/5). Suppose -3\/7*h**3 + 3\/7*h**2 + 9\/7 + z*h = 0. What is h?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28106209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*m - 6*m - 3*b, 3*b = 3*m + 15. Let z(p) = 2*p + 4. Give z(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 97 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((120\/(-96))\/(475\/(-57)))\/(4\/50). Let -21\/8*x**2 + n*x**5 - 15\/8*x**3 + 21\/8*x**4 + 0*x + 0 = 0. What is x?\nAnswer: -7\/5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475 + 476 + 10851*g + 14971*g.\nAnswer: 25822*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9512\/247 - 502\/13. Sort -4, 1, 70, h in increasing order.\nAnswer: -4, h, 1, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -206, -240, -278, -320?\n\"Answer: -2*k**2 - 28*k - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 50457.\nAnswer: 403656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -1, 116.\nAnswer: -6, -1, 1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 8868\nAnswer: -1\/4434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3))\/(16\/(-1))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/2 (b) -1 (c) -0.0555 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.621 in -2\/7, -2, -7, -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -29453\nAnswer: 147265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5*373\nAnswer: -1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*c - 3*q, -c + 6 = -5*q + 1. Let f be 22\/10 - (2 - c). Let l = -1.07 - -0.07. What is the closest to l in -2, 2\/3, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -1\/60*x**4 + 0 + 1\/10*x**2 - x + 0*x**3. Factor w(f).\nAnswer: -(f - 1)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51596, -103187, -154778, -206369, -257960?\n\"Answer: -51591*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223101213 (base 4) in base 5?\nAnswer: 134422133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164 and 67?\nAnswer: 10988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 22 + 7*d - 10*d - 9. Let a be l(13). Suppose 2*i = -a*i + 198. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -89 + 68. Suppose -3*w + 3 + 3 = 0. Let j(b) = -z*b**2 + 2 - 24*b + 0 + 25*b + 2*b**w. Let q(h) = 4*h**2 - h - 1. Give 3*j(c) + 4*q(c).\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: e3c04 (base 15) to base 9\nAnswer: 1318734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/3 + 4*w**2 + 8*w + 1123. Let r be 6\/(-9) - (-22)\/(-3). Determine b(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17612 divided by 476.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 60. Let k be m(15). Suppose -31*o + 9*o + 220 = k. Solve 3*n = n + 5*h + o, n + 2*h + 13 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -149*(-3)\/(-1 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*i, -2*i + 16 = -10*m + 7*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*r**2 + 9*r**2 + 11*r**2 + (1 + 4 - 1)*(-25*r**2 + 41*r - 41*r) + (-r + 0*r + 3*r)*(2 - 3 + 0)*(0 + 3*r + 0).\nAnswer: -99*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kcpcccccpkwcctw. What is prob of sequence tc?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20145380 is divided by 875884?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 12. Let h(i) = 298*i**3 - 2*i**2 + 1. Let z be h(1). Let c be (-2 - -4)\/(18\/z). What is the greatest common divisor of c and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*n**3 - 75*n**3 + 294*n**3.\nAnswer: 284*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 12) in base 4?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25006 (base 8) to base 15.\nAnswer: -32c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - m. Let q be v(-2). Put -4, 0, 5, q in ascending order.\nAnswer: -4, 0, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.5945818 rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/7 + -3 + 180\/70. Factor 24 + 27\/2*h**4 + 132*h**2 + 72*h**n + 96*h.\nAnswer: 3*(h + 2)**2*(3*h + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7152 - -22669. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 408 + -575. Let a = u - -167.01. What is the nearest to 0.1 in a, -0.5, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48, 66, 84, 102?\n\"Answer: 18*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -33073400 to the nearest 100000.\nAnswer: -33100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87\/2852 + -7\/124. Which is the closest to 2? (a) h (b) 0 (c) -3 (d) -177\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 13*a + 6. Let t be s(-7). Let b be 2590\/35*1\/(-2). Let n = b + t. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l. Let d(f) = 1403*f + 42. Let m(v) = 2947704*v + 88263. Let o(r) = 4203*d(r) - 2*m(r). Determine o(x(w)).\nAnswer: 2802*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, c: 2, n: 2}. Give prob of sequence ncna.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y + 30 = 8*y. Let n(u) = u**3 + 16*u**2 + 17*u + 51. Let r be n(y). Suppose 14*f + r = 7*f. Sort 12, 1, f, 0 in increasing order.\nAnswer: f, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1304 + 2180 = -268*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 17.8.\nAnswer: 3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from mzmvz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 - 47. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2623, 5245, 7875, 10513, 13159?\n\"Answer: 4*g**2 + 2610*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5. Let u(t) = t - 6. Let r(b) = b**3 - 10*b**2 + 17*b - 4. Let h be r(8). Calculate h*c(m) + 3*u(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -0.01217.\nAnswer: -0.0004868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3466, -6953, -10442, -13933, -17426, -20921?\n\"Answer: -m**2 - 3484*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1760.0000009105 - -1760. Round o to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365628 at most 365644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1762*s**3 - 966*s + 2108419.\nAnswer: -5286*s**2 - 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1026.948ms?\nAnswer: 1026948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 1:29 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6068083440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 35. Let g be r(-15). Suppose g*b - 66 = 4*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -230 + r - 292 - 7296*r**5 - 296*r**5 + 117 wrt r?\nAnswer: -151840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 109 = -3*x, 2*x - t - 47 - 21 = 0. Calculate the highest common divisor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 2. Suppose 1 = -d - 0. Let k = -24.8 - -25. What is the closest to -1 in v, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -1159, 11, 5, -4 in descending order.\nAnswer: 11, 5, 0, -3, -4, -1159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 3*d + 2. Let i be t(3). Suppose -4 = -i*b + 6, 2*b - 20 = -r. Calculate the highest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**2 - 4*w**2 - 19*w**2)*(480 + 514 + 166) to k*w**2 + a*w + x and give k.\nAnswer: -31320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2 - 10*b + 12. Give g(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/30 + 3*k**5\/10 + k**4\/24 - 2050*k**3\/3 + 407*k**2. What is the first derivative of i(g) wrt g?\nAnswer: 12*g**2 + 36*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/4 + (-21)\/((-21)\/11)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39380, -3\/2, 2\/7, 2\/5 in descending order.\nAnswer: 39380, 2\/5, 2\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.224 less than 8.9?\nAnswer: 15.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38201904467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -50c - 81?\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(252) + 0 + -5)**2 + 2).\nAnswer: -558 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 1\/7 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1453640, 2907488, 4361334, 5815178?\nAnswer: 7269020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 - -2 - (-8 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nenrnnedednnddendn. What is prob of picking 1 d, 1 n, and 1 r?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*q**3 + 5730*q + 40*q**3 + 75*q**3 - 11454*q + 5724*q.\nAnswer: 39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12660*d**4 + 8*d - 3020*d - 11472*d**4 wrt d.\nAnswer: 14256*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83463\/7 + 11949. Let r = v - 1273\/28. Let q = -156 + 1089\/7. Calculate the common denominator of r and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -700 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -260902.9 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 5*n**2 + n. Let y be j(4). Suppose 5*w = -y, 0*f + 4*f + 2*w - 236 = 0. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 - m**2 - 16*m**4 - 37*m**4)*(2 + 0 - 1) + 46*m**4 + 76 - 76 + (-m**2 + m**2 + m**2)*(2*m**2 - m**2 - 3*m**2).\nAnswer: -6*m**4 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2192157093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 328*q**3 + 691 - 23*q**3 - 4*q - 690 as o*q + y*q**2 + b*q**3 + t and give b.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -170936.1?\nAnswer: 68374.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**3 - t**2 + 3*t + 4. Let p be j(-2). Let n = -43 - p. Suppose 3*w + 1 - 10 = 0. Solve -w = -4*v - n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*l - n - 1, 24 = 3*l - 3*n. Let z(s) = 5*s**2 + 39*s - 887. Let k be z(10). Solve l*x = k*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384143745 divided by 5\nAnswer: 76828749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86278 by 179.\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -36. What is the tens digit of (-234)\/(-12)*(1 - z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4070.9502 milliseconds to hours.\nAnswer: 0.0011308195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -50, -153, -330, -599, -978, -1485?\n\"Answer: -3*c**3 - 10*c**2 + 4*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 40 + 1 + (13 - -64 - 86)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 341034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 930963 to the power of 1\/2, to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 183*x**2 - 12*x. Let t(y) = 9*y**3 - 731*y**2 - 52*y. What is -6*t(n) + 26*w(n)?\nAnswer: -2*n**3 - 372*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, z: 13, a: 1}. What is prob of picking 1 z and 3 b?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10021102200 (base 3) to base 12\nAnswer: -31383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -14, 0.24, 1063, -0.3?\nAnswer: 1063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*k**4 + 6*k**3 + 19475 with respect to k.\nAnswer: 480*k**3 + 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 - 2*w + 7*w**3 - 5*w - 4*w**3 - 3*w**2 + 13*w as g*w**2 + h + n*w + u*w**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -485.305489 - -485.584. Let x = c - -3.121514. Let v = x + -3.4. What is v rounded to 6 dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, t: 1, s: 1, l: 1, r: 1}. Give prob of picking 1 t and 1 i.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110.71 + -111. Let y = f + 0.423. Let g = -0.117 + y. What is g rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - -61. Let u be 63102\/20 - (931\/190)\/49. Suppose u = 83*h - k*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:32 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - -5.94. Let b = 327 - 329. What is the third biggest value in a, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, s: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 8*f + 2. Let k = -17418 - -17426. Give j(k).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h - 4*h)*(-2*h - 5 + 5) + 15*h**2 - 5*h**2 + 2*h**2 - 4 + h**2 + 4 + (0*h + h - 3*h)*(2*h - 2 + 2) + 3*h**2 + h**2 - 6*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**10\/30240 - a**9\/7560 - a**8\/6720 + a**7\/1260 + a**4\/2 - 9*a. Let t(q) be the third derivative of z(q). Factor t(d).\nAnswer: d**2*(d - 2)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -59*k**3 - 112*k**2 + k + 1. Determine f(2).\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 127269934 by 3.\nAnswer: 127269934\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -287, -0.07, -45\/19, 14 in decreasing order.\nAnswer: 14, 2, -0.07, -45\/19, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*u - 8 = 0, -4*v + 6*v + 5*u - 8 = 0. Let x(r) = -5 - 36*r**2 + 39*r**2 + v + 8. Let t(j) = 5*j. What is x(t(s))?\nAnswer: 75*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 3. Let h(p) = -38 - 75 + 112. Let i(r) = -2*r + 1. Give z*i(s) - 3*h(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101011101011101001 (base 2) to base 8.\nAnswer: -3535351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -832472, -6659800, -22476846, -53278472, -104059540, -179814912, -285539450, -426228016?\n\"Answer: -832477*f**3 + 3*f**2 + 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*o + 117, -58*y + 78 = -56*y - 5*o. Calculate the remainder when 419 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5948\/844 + (-55)\/10. Let q = b + -10\/211. Solve -17\/4*x**2 + 0 - 3\/4*x**3 + q*x = 0.\nAnswer: -6, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 - 110. What is the closest to 2 in -2, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2. Suppose 0*n + 4*n + 20 = 2*r, 20 = r - 4*n. Let s(w) = w**2 - 5*w**2 + r*w**2 - w**2. Give s(c(y)).\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -781, -3131, -7047, -12529, -19577, -28191?\nAnswer: -38371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.4 (b) 1 (c) -1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2050 + 30769\/15. Calculate the common denominator of -62\/915 and v.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2605581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -785, 6, -1\/5, 1, -4 in ascending order.\nAnswer: -785, -4, -1, -1\/5, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.44 - -0.44. Which is the second smallest value? (a) 9 (b) -2 (c) x (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129191*a**3*x**3 + 571*a**3*x**2 - 37*a**3 wrt x?\nAnswer: 775146*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 1670*x**4\/3 - x**3\/6 + 5*x**2\/2 + x. Let r be k(5). What is r rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -510.4 - -555. Let a = 43.6 - o. What is the second smallest value in -71, 2, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**5\/4 - 5053*f**4\/2 + 50463*f**3\/4 + 212083*f**2\/2 + 191909*f + 101010 = 0.\nAnswer: -2, -1, 10, 10101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 17*i - 12 + 11*i - 36*i + 14*i. Determine f(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 20*z**2 - 14*z - 63. Suppose -6*m - 14 = -7*m + q, -m - 2*q = -29. Is 4 a factor of w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195212 and 296.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -21*h**5\/5 + 7*h**3\/3 + 4*h - 40. Find the third derivative of y(m) wrt m.\nAnswer: -504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 3498*z - 21040. Give x(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330b (base 12) to base 2.\nAnswer: 1010111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 1201, 3918, 9209, 17932, 30945, 49106?\nAnswer: 73273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3301803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 753?\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37343 or -3.86?\nAnswer: -3.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 - 2883076*n**4 + 11532344*n**3 - 17298536*n**2 + 11532364*n - 2883092.\nAnswer: -4*(n - 1)**4*(n + 720773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 324 - 301. Calculate the remainder when 176\/(12\/3) + -2 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 161*u**2 - 21*u. Let r(p) = 16*p**2 - 2*p. Give -21*r(s) + 2*v(s).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**(-1\/25)\/x*x\/(x\/(x*(x\/x**(13\/5))\/x*x))*(x*x**(-1\/7))\/x*x**12\/x*x assuming x is positive.\nAnswer: x**(2138\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28669 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 5*p = 1964, -569*p + 492 = 2*c - 568*p. What is the remainder when 18099 is divided by c?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 1. Let i(p) = 30*p**2 - 2. Let u(m) = i(m) + 2*n(m). Let g(s) = -s**2 - 4*s + 20. Let f be g(-7). Does 10 divide u(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let g = n - -11. Let j = g + -6. Solve 0*f = 4*f + 3*k - j, 0 = 5*f + 2*k + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 3\/2 (b) 3 (c) -1\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 3612.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22687 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/3, -0.3, 744 in increasing order.\nAnswer: -0.3, 10\/3, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 13*o**4\/24 + o**3\/3 + o**2. Suppose 4*w + d - 48 = 0, 2*d + 3*d = -5*w + 75. Is t(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -114. Let k = f + -11. What is the remainder when 45 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341578849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21524276 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 73355.4\nAnswer: -73355.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 359\/36 - -5\/18. Calculate the common denominator of -13\/10 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -0*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/846 and 113\/6776460.\nAnswer: 6776460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 11) to base 16.\nAnswer: -a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 4. Let z be c(2). Suppose 3*a + 2 - 33 = -2*x, -4*a = z*x - 42. Let h(w) = -3*w + 1. Let q(i) = -i - 6 - 7*i + 24*i. Determine a*h(m) + 2*q(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 3*k**2 - 1. Let a(h) = 0*h + h - 7*h + 5*h. Calculate a(w(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2. Let a(r) = -13 - 18 + 49 + 8 - 4*r. Give a(f(y)).\nAnswer: 8*y**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/6)\/((-9)\/(-12)). Let w(q) = -2*q + 19. Let n be w(p). Suppose 44 - 12 = -5*u - 4*k, -3*u + 5*k = 34. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = -19 + 47. Let q be 1898\/273 - (32\/14 - u). Solve -25\/3*z + 20\/3*z**4 + 5\/3*z**5 + q*z**3 - 10\/3 - 10\/3*z**2 = 0 for z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1 + 0 + 86*u**3 - u**2 - 76*u**3. Let x be c(1). What is the smallest common multiple of 12 and x\/(-15)*6\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 4)*455\/(-546)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 1012?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 + -1. Let a = -80 + i. What are the prime factors of 240\/a*(3 + 4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1817 + 2858. Suppose m = -15 + 14, -3*m + d = 4*f. What is the greatest common factor of 27 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*184\/92\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(21\/(-49)*-7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*z + 6 = -r, 2*r = 2*z + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 = 17914*d - 17900*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 4*s - 3. Let v be t(-2). Let l be 1\/2*(v - -1). Sort 5, 3, l.\nAnswer: l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 - -0.02. Let z = -0.0262 + w. Round z to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4243760581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 589, 584, 577, 568?\n\"Answer: -h**2 - 2*h + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsxg when four letters picked without replacement from xxxsssggs?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 18*j**2 - 101*j + 2836. Determine a(20).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42176149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 4:41 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8 - 7 + 15 + w. Let n(o) = -o**3 - 10*o**2 + 11*o. Let u be n(-11). Let j(i) = -4*i + u*i + 0*i. Determine v(j(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/((-3840)\/168 + 23). Let l(f) be the first derivative of -5 - u*f**2 + 0*f. Let h(x) = 6*x. What is h(l(m))?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 3113*l**6\/15 + l**4\/3 - 103*l**3\/2 - l**2\/2 + 2*l - 458. What is the third derivative of d(b) wrt b?\nAnswer: 149424*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 487. Suppose -14*h - z + 2003 = 0. Calculate the remainder when h is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/667?\nAnswer: -5\/667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2888946*j. Let s(r) = -4*r**2. Give s(p(u)).\nAnswer: -33384035963664*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.13974 - 7\nAnswer: -6.86026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = h - 73. Which is the closest to -0.2? (a) -0.1 (b) -2\/7 (c) -0.4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -0*c + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*w = -337*w + 93*w + 805 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 20 = 4*x, -2*j - 3*x + 4385 = 0. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101 + 564 - 90 + 1691)*(-2*i**5 + 0*i**5 + i**5).\nAnswer: -2064*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28099*h - 28035*h = -1984 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 5)*(-5)\/60. Sort g, -2, 2 in decreasing order.\nAnswer: 2, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v**3 - 29*v**2 + 224*v - 263. Let c(x) = 9*x**3 - 27*x**2 + 223*x - 253. Let b(m) = 7*c(m) - 8*i(m). Factor b(d).\nAnswer: -(d - 37)*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.5 (b) 1 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**3)**(-3))**(3\/4)*((w*(w*w**(1\/20))\/w)\/((w\/w**(5\/2))\/w))**5 assuming w is positive.\nAnswer: w**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 0*u**4 + 0*u - 2 + 0*u**2 - 11\/5*u**5 + 11\/3*u**3. Find the third derivative of o(b) wrt b.\nAnswer: -264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5091997*n**4 + 1169696*n.\nAnswer: -61103964*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 157*d**2 + 324*d - 2169. Calculate j(155).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8 + 11 + 16 - i - 37. Let x(q) = 3*q + 5. Calculate 7*t(j) + 2*x(j).\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - y)*(0 - 2 + 1) + 27 + 13*y - 201 - 12*y + (-1 + 2 + 1)*(y + 0 + 0) - 3*y + 2*y + 3*y - 3*y + 4*y + 0*y to u*y + a and give a.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247736207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -1\/4 (b) -16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j - 22. Let l be g(-3). Solve o - l = -2*h, -5*o + 2*h + 19 = -3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 10. Let p be 2 + -2*(-2)\/t. Which is the smallest value? (a) 4 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14291, 0, -10 in decreasing order.\nAnswer: 0, -10, -14291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -17*l**2 + 596*l - 6. Let n be j(35). Calculate the greatest common divisor of 4988 and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 11)\/(-22 - -82). Let z(c) be the third derivative of h*c**5 + 0*c + 0*c**3 + 8*c**2 + 1\/12*c**4 + 0. Factor z(f).\nAnswer: f*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*r + 15. Let q = r - -5. Differentiate 4 - 1 - q*a**2 - 5 wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42127.48 kilometers to micrometers.\nAnswer: 42127480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2421, -4770, -7105, -9420, -11709, -13966?\n\"Answer: i**3 + i**2 - 2359*i - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*a + 36948 + 9561 = -13723 + 6698 for a.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/21 in -0.007, -0.5, 2, 4, -3.16?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 233 - 237 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 454631 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: Simplify ((a\/(a\/(a**(2\/5)*a))*a*a)\/(a\/a**7))**25*(a\/(a*a**4)*a*a\/(a**7\/a))**(-21\/8) assuming a is positive.\nAnswer: a**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 21, 222, 645, 1356, 2421?\nAnswer: 3906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2137 - -1726. What is the biggest value in -5, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4 + 3. Let d(z) = -t - 7*z - 4 + 3. Let x(c) = 4*c + 1. Suppose k = 5 + 6. What is k*x(h) + 6*d(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 2. Let v(q) = 4*q - 18. Let d be v(5). Let a(i) = 7 + 2*i - 8 - 3*i. Let n(z) = d*j(z) - 2*a(z). Differentiate n(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 + 68 = -3*z. Let l = -17 - z. What is the highest common divisor of l and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 75\/56 (b) 42\/31 (c) 2\/5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20767, 41256, 61461, 81382, 101019, 120372, 139441?\nAnswer: 158226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 4. Calculate q(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (-7 - (42 - 91))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 94.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 15) to base 12\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2130 + -2134. Put -2, -1\/3, w, 0.3 in ascending order.\nAnswer: w, -2, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + 1 - (sqrt(7) - (sqrt(847)*2 + sqrt(847) + sqrt(7)))**2 - ((4 + sqrt(21)\/sqrt(3))*-6)**2.\nAnswer: -8450 - 279*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(20\/9)\/(g\/(g\/((g\/(g**(1\/4)\/g*g))\/g))*g**(-1\/8)) assuming g is positive.\nAnswer: g**(187\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, u: 3, y: 3, g: 6}. What is prob of picking 1 y, 1 c, and 2 g?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 14*c**2 + 22*c + 3. Let o(m) = -m**3 + 15*m**2 - 16*m + 12. Let n be o(14). Calculate the remainder when i(n) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 2*i - 2. Let m(v) = v - 6. Let l be m(9). Let f be (-4)\/15*5\/2*l. Determine u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 35*t - 621. Let j be n(-13). Solve -3*u + j*z = -0*u, -2*u = 4*z - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96934 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33982 is divided by 144?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -196, -2427, -8580, -20647, -40620?\n\"Answer: -332*b**3 + 31*b**2 + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h + 3 - 3 + 2*h + h - 2*h + (-1 - 3 + 3)*(0*h - 3*h - 4*h) - 3 - 3*h + 3.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-4))\/(-1 + (-255)\/(-252)). Suppose 3*t = -0*t + r. Is 36 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -294, -462, -648, -858, -1098, -1374?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 - 9 = w, -o - 3 = -5*w. Let t be (o\/2)\/(60\/(-6760)). Calculate the greatest common divisor of t and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 14 - 4. Suppose 5*o = t - 468, -2*t = 2 + y. Let l = -51 - o. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27801.44 to the nearest 10.\nAnswer: -27800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -195 + 202. Let h(a) = a**3 - 7*a**2 + 3*a - 5. Determine h(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0*g + 12. Suppose -g*j - 8 = 24. Is -8 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 4*y + 4. Let l be p(-3). Let g = 10 + l. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7*c + 880. What is the highest common factor of c and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -213*a**2. Let v(c) = 17*c**2. What is o(v(q))?\nAnswer: -61557*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 45*x + 358. Give k(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -7 - (3 + -1 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*r + 8, -10*t + 6*t = 3*r - 12. What is the second smallest value in r, -2\/9, -3, 4\/3, -2192?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81830 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 539*y + 115*y + 218*y)*(-2 - 7*y + 2*y**2 + 7*y).\nAnswer: -412*y**3 - 4*y**2 + 412*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 63094.2281 rounded to the nearest 10?\nAnswer: 63090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 less than -4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 11*b + 52. Let v be a(17). Let q = 314 - v. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/3 - l**4\/3 - 3*l**3 - 11*l**2\/3 - 4*l\/3.\nAnswer: l*(l - 4)*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o**2 - o - 1. Suppose 0 = -4*u - 2 - 2. What is the units digit of x(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 - 0) + -1)*-1. Let j be (-27)\/(-2)*28\/(-6). Let q be (n - 4) + j\/(-18). Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11\/4 (b) -0.5 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4658*c + 1097*c + 7209 = 502188 for c.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -7 (b) 0.02 (c) -4 (d) -8\/43 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 79*u + 671. Calculate z(-8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -6, 0, -2043 in decreasing order.\nAnswer: 0, -6, -37, -2043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-5\/4)*p)*p)**(-39)*((p\/p**16*p*p)\/p*p)\/(p*p*p**(2\/43)))**30 assuming p is positive.\nAnswer: p**(-164595\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5305261973.\nAnswer: 11, 31, 113, 131, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6)*3 - (0 + 3). Let o(g) = -g**2 + 6*g + 69. Let y be o(12). What is the third smallest value in -0.15, y, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.8429990974 + -13.843. What is l rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -69*q**2. Let f(d) = 5*d. Give g(f(u)).\nAnswer: -1725*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1461*s + 1431*s + 1205*s.\nAnswer: 4097*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/((-3)\/48). Let m be (w\/(-14))\/(4\/(-14)). Solve 2*t = t + 2*a, -2 = m*t - 5*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 111 - 114 = 0. Suppose -4*b = -3*b - u - a, 3*b - 125 = u. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 45877.969?\nAnswer: -2752.67814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15503 is divided by 5167.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*t + 16, -2*x + 14 - 6 = -5*t. Suppose -3*n - 2*b + 14 = 0, -4*b + x - 20 = -5*n. What is the least common multiple of 29 and n?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(95)*3)\/(sqrt(5) + sqrt(125) + -1*sqrt(125)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8\/n)**(-1\/14) assuming n is positive.\nAnswer: 1\/sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -146 + (-4 - -15) + -6 - (1 + -16).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1312120002 (base 4) to base 9.\nAnswer: 818100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l + 7811 = 4*m + 12*l, -3*m + 5872 = -l. Let a = m - -524. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:15 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 211200?\nAnswer: -211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 421 (c) 0.04 (d) 4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 370 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from xmxmmmmmmmmmmxmmmxx.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 386, 418, 432, 422, 382, 306?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2351*c + 2382 = -2353*c + 4667*c + 532 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/213789 - -2161615\/3135572. Find the common denominator of 93\/616 and p.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 248*q**3\/3 + 1255*q**2\/2 - q + 207. Differentiate f(i) with respect to i.\nAnswer: 496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times -129.2?\nAnswer: 31.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 44*p**6 + p**2 + 13*p - 10. Let h(d) = -45*d**6 - 2*d**2 - 12*d + 8. Let g(x) = 5*h(x) + 4*q(x). Find the third derivative of g(j) wrt j.\nAnswer: -5880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31921 + -31907. Suppose n + 0 - 9 = 0. What is the remainder when v is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 4*h**3\/15 - 114*h**2\/5 + 224*h\/5 - 147. Factor n(j).\nAnswer: 4*(j - 56)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-122825)\/(-1) + 6 + 13 + -13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**7\/630 + h**6\/360 - h**5\/36 + h**4\/24 - 14*h**2. Solve k(n) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 7:33 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3304?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272994 and 24.\nAnswer: 1091976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 - -169. Suppose -w*x + 2990 = 764. What are the prime factors of x?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 23*z**2 - 182*z - 2444. Determine f(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(513))\/sqrt(3))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - r - 25, -2*r - 34 = p - 33 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/17, -1\/3 in descending order.\nAnswer: 5, -2\/17, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-329)\/63)\/(((-10)\/(-18))\/((-70)\/28))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 8. Let z be ((-1 - 1) + 1)\/(6\/y). What is the fourth biggest value in -5\/4, 4, z, 0.3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 6, n: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152822 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 638 = -13*w + 9*w, -4*m = 5*w + 1267. Let l = 311 + m. Let d(p) be the third derivative of -p**6\/120 - p**5\/20 - p**4\/12 - p**2. Determine d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4419*f*z**5 + f*z**2 - 9*f*z + f + 2*z**5 + 242*z**2 wrt z?\nAnswer: 265140*f*z**2 + 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -423909, -847140, -1270371, -1693602, -2116833?\n\"Answer: -423231*u - 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1, 1388, -4 in increasing order.\nAnswer: -5, -4, -1, 1, 1388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from {p: 1, b: 2, w: 3, u: 1, d: 3, v: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11360 times -0.47086?\nAnswer: 5348.9696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:35 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 5:45 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 107*i - 42. What is the hundreds digit of t(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7108 is divided by 1251?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 0*f**2 - 6*f**2 - 8*f - 9*f. Let w(d) be the third derivative of -d**5\/30 - d**4\/4 + 4*d**2. Calculate 6*c(k) - 17*w(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 45. Let l = 55\/3 + -18. Which is the closest to k? (a) l (b) -0.1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2 + 1 + 3*n - 2. Let q(p) = 3*p - 44. Let t be q(14). Let f(x) = 2 + 0 + 2 - 4*x. What is t*f(w) - 3*r(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 518160?\nAnswer: -518165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1\/2 (c) -21\/11 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 + -8 + -1 + (-26 - 27 - -29).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049961 rounded to four dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-32)*-2)\/(-6))\/((-7383)\/(-2568)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 806\/(-12090) + (-1 - (-2974)\/(-30))\/(24\/(-12))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from rlllllrllllr.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6998222041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60656013.\nAnswer: 3, 11, 131, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xddf. Give prob of sequence dd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25542660917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -7.5, -6686573 in ascending order.\nAnswer: -6686573, -7.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-11 + 10) + 11. Let h = 4 + -3. Put 4, h, p, -1 in increasing order.\nAnswer: p, -1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l**4 - 3*l**3 + 3*l + l + 2*l**4 - 6*l as i*l + v*l**3 + f*l**4 + b + p*l**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 107*34\/2*-1. Let m = -7185\/4 - x. Calculate the common denominator of m and -49\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1495 - -1500. Solve 3*h = -v + j + 2, 3*v = -15 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 2*u - 1. Let a(m) = 12*m**2 + 5*m + 5. Calculate a(v) + 6*n(v).\nAnswer: 6*v**2 - 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 27*q**2 - 5*q - 54. Let o(k) = 26*k**2 - 4*k - 54. Let i(j) = -4*h(j) + 5*o(j). What is the derivative of i(u) wrt u?\nAnswer: 44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.628 + -1539.317\nAnswer: -1505.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + -3*(sqrt(567) - (sqrt(567) + sqrt(567)*-2)) + 4 + -1)**2.\nAnswer: -324*sqrt(7) + 20421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**3 + 29*z**2 - 19*z - 191. Let d be i(-5). Find v such that 0 - 254\/3*v**3 + 10\/3*v**d + 340\/3*v**2 - 32*v = 0.\nAnswer: 0, 2\/5, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/12 + (-2)\/(-6). Is (4\/3)\/(m\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81853329 divided by 303?\nAnswer: 270143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p + 6080. Let y be (p\/3)\/((-2)\/(-375)). What is y rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48804 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 42 - 321*v + 20 - 91.\nAnswer: -321*v + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - (-7 + 35)) + 2 + -2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3479 - -3472.64. Are b and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 100. What is the highest common divisor of d and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 58. Let g = -10 - y. Suppose -3*k + g = -m, -k + m + 13 = -2*m. Solve -2*n - k = 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15 + (-5)\/(225\/(-324))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16557369149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 200 and 0.062576.\nAnswer: 12.5152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 981, 3004, 6865, 13176, 22549, 35596?\nAnswer: 52929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 15*a - 6. Let t be b(-15). Let d(w) = 5*w + 33. Let r be d(t). Let m(z) = z**3 - 4*z**2 + 3*z + 4. Give m(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:44 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h + 16*h - 21*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1704.168 to the nearest 10.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -666. Let l be 0\/((-2)\/2) + 12. Let i be (-2)\/l - o\/18. Calculate the highest common divisor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36426.\nAnswer: 2, 3, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 1. Is 32 a factor of (-61)\/(-2) + g\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = -5*j + 10*j, -5*j = 4*f - 40. Suppose 12*a = 10*a + 2*t + 30, -j*t - 79 = -5*a. Let q(s) = -31 + 20 - s**2 + 5*s + a. Give q(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*d + 119 = 1423, 2*q - 4*d - 2560 = 0. Calculate the common denominator of (-2 + 1)\/(-3) - q\/480 and -35\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6887642 is divided by 224.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/(l**32\/l*l))\/(l*l**(1\/6)*l*l**6\/l))**(11\/3) assuming l is positive.\nAnswer: l**(-2651\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000427 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0.8 (c) 0.1 (d) -5 (e) -229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16924873?\nAnswer: 7, 37, 101, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -944 - 974. Suppose -6*k + x = -3*k + 2*f, 440 = 5*k - 5*f. Suppose -6*i + 726 = k. List the prime factors of i.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 113743294\/9 and 12638143 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -9.89.\nAnswer: -11, -9.89, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19, 3, -13?\n\"Answer: -16*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c - 1. Let h(o) = -4*o**2 + 3*o + 3. Let q(k) = -15*d(k) - 5*h(k). Let l(y) be the second derivative of -y**4\/12 + y. Give l(q(p)).\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*i + 2. Calculate the remainder when (i\/(-2))\/((-2)\/(-132)) is divided by 2 + -1 + 17 - 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = -9*b + 371. Suppose 4*g = -0*g + 3*w + 359, 2*w + b = g. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4718.68878 rounded to the nearest 10?\nAnswer: -4720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -33. Suppose i = y - 3*y. Solve -2*w + 0*w + 14 = -3*v, y = 3*v - w + 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:54 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 14 = 2*u, 0*b + 18 = 4*b - 2*u. Suppose -b*x = x. Find f such that 1\/2*f**5 + 0*f**2 - 1\/2*f**4 + x*f + 0*f**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a0 (base 11) in base 15?\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*k + 14, -580*k + 583*k - l = -11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k + 9 + 13. Suppose -2*x + 0*x = -5*r - 27985, 3*x - k*r - 41994 = 0. What is x rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 3*o**2 - o. Suppose -i = 5*w - 3*i + 11, 2*w + 5*i + 16 = 0. Let m be g(w). Solve -t - m = -q, 0 = 3*q - 0*q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6 + (-15)\/(-45). Let u(t) = -t**3 + 40*t**2 - 37*t - 64. Let m be u(39). Let h be g + m\/(-10) - 14\/(-60). Sort -0.4, -5, -3, h in increasing order.\nAnswer: -5, -3, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 3 (c) 601 (d) 1\/3 (e) 1 (f) 0.4 (g) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/24 + o**2. Let d(x) = -155*x + 155*x - x**2. Give d(m(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/5, 10, -87?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -10 + 34 + -24 - -25\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41742, 41744, 41746, 41748, 41750, 41752?\n\"Answer: 2*t + 41740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-1))\/((-5162)\/(-801)) - -10\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 6*q + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = -8*n - 5*n + 220 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 352072 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*t = -12. Suppose 3 - 25 = -d + 2*r, -t*r = 4*d - 33. Let n(j) = j**2 - 93*j + 327. Calculate the remainder when n(90) is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b - 20. Let t(f) = -14*f + 59. Let y(n) = 11*i(n) + 4*t(n). Let d be y(7). Suppose 4*x + 50 = d*x. Solve -2 = 4*r + x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - 4.5. Let d = 64.5 - 68.5. What is the nearest to q in -5, d, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760 and 21691730?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28874*r**3 - 108 - 14441*r**3 - 14436*r**3 - 99*r - 30*r**2.\nAnswer: -3*(r + 3)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (3\/(-8) - (-28)\/(-224)). What is the closest to n in -4, 20, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1254037\/80 - -15677. Let r = 15\/16 - p. Which is the third smallest value? (a) 5 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2656 is divided by 365.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*w + 17 + 6747 = 78231. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.038*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110001001010111 (base 2) to base 15.\nAnswer: 1bd26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vkk when three letters picked without replacement from kkkkkvkvkkkkk.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dssbdbxdbbsbd. What is prob of sequence bsdx?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43776 is divided by 43770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 339, -614, 5.\nAnswer: -614, -4, 5, 6, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**5 + i**5 + 0*i**5 + (3*i**3 + i**5 - 3*i**3)*(2 + 0 - 3) + 66*i**5 - 18*i**5 + 11*i**5 + 4*i**3 + i**5 - 4*i**3 + i**5 + 1 - 1.\nAnswer: 56*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33700*0.4.\nAnswer: -13480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -13 + z**3 - 3\/2*z**2 + 0*z. Find j, given that o(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 68*r - 59. Let b(g) = 337*g - 297. Let i(d) = -6*b(d) + 33*k(d). Differentiate i(j) with respect to j.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-9))\/d**(-7\/2)*(d**(11\/2)*d*d)\/(d*((d\/(d*d\/d**(-5\/4)))\/d)\/d) assuming d is positive.\nAnswer: d**(97\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -1, -5, -1483, 13 in descending order.\nAnswer: 117, 13, -1, -5, -1483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(225)*3*-3)\/(-6*1*sqrt(5)) + 5.\nAnswer: 9 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(2 + -5*((sqrt(833) - sqrt(833)*3) + sqrt(833))**2*-2 + -5 + -1).\nAnswer: 41630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = -g + 79, -2*t - 6372 = -4*g - 3220 - 3208 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/((sqrt(72)\/sqrt(3))\/sqrt(2)))\/((sqrt(175) + sqrt(175) + (sqrt(175) - sqrt(175)*-1 - sqrt(175)) + sqrt(175))*-4 - sqrt(175)).\nAnswer: -sqrt(2)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, g: 2, a: 1, w: 6}. Give prob of sequence guw.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 790651730 to the nearest integer?\nAnswer: 28119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 4 - 8. Let i(m) = 6*m + 10. Let f(h) = -h**2 - h. Let q(t) = g*f(t) - i(t). What is the units digit of q(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73.45 + -74.6. Let g = 8.75 + v. What is g rounded to 1 dp?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2077116 is divided by 1658?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 > -1155\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 7. Let g be a(6). Let s = 5751 - 5756. Suppose -31 = -4*f - 3*l, -4*f - 5*l + 25 = -16. Put f, g, s in ascending order.\nAnswer: s, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0 - 4*s**3 - 5\/8*s**4 + 0*s - 6*s**2. What is the derivative of q(j) wrt j?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190051 - 257936 = 3*l. Let b = l + 249329. Round b to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -257 - -277. Let m = u - 16. Solve -4*q - 3*v + 8 = -3*q, 0 = 2*q + 3*v - m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10761 + -8378. List the prime factors of z.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1469*f**3*w**2 - 97*f**3 + 2*f**2 - 5 with respect to w.\nAnswer: 2938*f**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 51*y - 9 = -48*y, 4*y + 15 = -w. Suppose b - 4*b = -9. Let g(t) = t. Let v(q) = -2*q - 3. Determine b*g(x) + w*v(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 - 5*s - 21. Let z(y) = -2*y**3 + 6*y + 22. Calculate -6*u(n) - 5*z(n).\nAnswer: -2*n**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664.7716 hours to minutes.\nAnswer: 39886.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 + 4*q**4 - 8 - 4*q + 3 + 3 + 3*q**2 - 2*q**2 + 1 to the form c*q + r*q**4 + l*q**3 + p + a*q**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-5)*l)\/(l**(4\/3)*l))**46 assuming l is positive.\nAnswer: l**(-736\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/120 + 7*r**5\/60 - 5*r**4\/12 + r**3\/3 + 28*r**2. Give k(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 11 = -2*x + 83, 2*x - 10 = 0. Calculate the remainder when 230 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*f - f + 0*f)*(-1 - 1 + 3) + (3 + 2*f - 3)*(-30 - 6 + 9))*(-9*f**4 + 2 + f**4 + 5*f**4).\nAnswer: 177*f**5 - 118*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**3 - 17*t**3 + 8*t**3 - 2*t**3 + 7*t**3 + 0*t**3 + (4 - 4 - 2*t)*(t**2 - 3*t**2 + 0*t**2) + (0 - 2*t + 0)*(-2*t**2 + 4*t**2 + 0*t**2).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 351 = z. Let q = -59 + z. What is the remainder when q is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/361)\/((-35)\/133)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 3, -2, -1\/30326?\nAnswer: -1\/30326","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18b802a (base 14) to base 11\nAnswer: -6a25731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -6) + -10 + 7. Let c(o) = 2*o. List the prime factors of c(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2215*q + 1 - 5 - 817*q + 4.\nAnswer: 1398*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342202011 + 1?\nAnswer: 342202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = -3*m - 2*c, -70*m - 792 = -76*m + 3*c. What is w in 108 - m*w + 75\/4*w**2 - 3\/4*w**3 = 0?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 = 9*q + 112. Let c(j) = j**2 - 86. Give c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810 and 176.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21174 divided by -1079?\nAnswer: 21174\/1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1053*o**4 + 33*o**2 + 201106*o.\nAnswer: -12636*o**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 1. Let b(d) be the first derivative of -d**2\/2 + 2. Determine -2*a(q) + 5*b(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2407*l + 653. What is the units digit of v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4) + 1 - (sqrt(11) - sqrt(121)\/sqrt(176)) - sqrt(77)\/((sqrt(84)*-2)\/sqrt(12)).\nAnswer: 1 + 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 42*k = 18. What is the lowest common multiple of 372 and k?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 134 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4950594606 to the power of 1\/2, to the nearest integer?\nAnswer: 70360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. What is the third derivative of -h**2 + 2*h**n - 3*h**6 + h**2 wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 9:43 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from llllvllllllvlllvllll.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:03 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*sqrt(68)*-4 + sqrt(68) + (3*sqrt(68) - sqrt(68))*-2)\/(sqrt(256) - -3*sqrt(256) - (sqrt(100)*-1 - sqrt(4))).\nAnswer: -3 - 11*sqrt(17)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101011101330 + -3?\nAnswer: -101011101333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 4. Let d(y) = -y**3 - 3*y**2 - 4*y - 2. Let g be d(-2). What is the least common multiple of (j\/2)\/(g\/4) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ab - 54a2?\nAnswer: -555d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -9*y**2 + 116*y + 16. Let t be w(13). Solve -15 + t = 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 6*k + 7. Let b be v(-4). Let p be 2\/(5\/b + -2). Suppose 0 = w + 2*w - 21. Is w greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = -16*b. Solve b = -5*q + 4*u - 2*u - 9, -4 = -2*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-32)\/(-20))\/((-8)\/40). Let j(m) = m**3 + 6*m**2 + 4. Let g(v) = v**2 - 1. Let t(l) = -2*g(l) - j(l). Determine t(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 3*y**2 + 4*y + 1. Let x = 7 + -3. Let t be a(x). What is the smallest common multiple of 1*(0 - t) + 23 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, 17, 38, 67, 104, 149, 202?\n\"Answer: 4*y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -17*r + 4\/5*r**5 + 5\/4*r**4 + 100 + 0*r**3 + 0*r**2. Differentiate h(l) with respect to l.\nAnswer: 16*l**3 + 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -932\/7 - -12515\/91. Let s = a + -909\/65. Find the common denominator of s and -28\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 39*m - 42*m = 143, 3*n = -3*m + 81. Calculate the highest common divisor of n and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:27 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10*r**3 + 7*r**2 - 41*r - 39. Let b be f(-1). Let p(l) = l**2 - l + 1. Let t(m) = 8*m**2 - 5*m + 11. Give b*t(w) + 6*p(w).\nAnswer: -2*w**2 - w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 1.1. Let x = -12473 - -12473. Which is the biggest value? (a) 6\/11 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, 0.06, -2 in descending order.\nAnswer: 0.06, -0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35\/2? (a) 31 (b) -4\/7 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3033, -3021, -3009, -2997, -2985, -2973?\n\"Answer: 12*s - 3045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/9 + 3106040*z**3\/3 + 3617803574558*z**2\/3 - 21706858719844*z\/9 = 0.\nAnswer: -2329531, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 142*p + 136*p + 14 = 281*p, 0 = -t - 15*p + 122 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118, 146, 178, 220, 278, 358, 466?\n\"Answer: p**3 - 4*p**2 + 33*p + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -109, -111, -113, -115?\n\"Answer: -2*q - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 334 + -4340\/13. Let v = 14.9 + -15. Which is the closest to v? (a) 3\/4 (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 666596389832 - -8\nAnswer: 666596389840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 311248 and 46352.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 254767986 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2065 = 2*t, 2*i = -3*t - 95 + 902. Suppose 3*q - i = 3*h, -5*q + 16*h = 17*h - 655. What is the lowest common multiple of q and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 - 2. Let r be o(-3). Suppose -r = -5*z, 0 = 2*d + 2*d + 3*z - 23. Solve 0 = -5*c - d*s - 19, -7 - 4 = c - 2*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + y**3 - 7*y + y**2 + 3*y + 3. Let o be i(-4). Let t(b) = -2*b**3 - 16*b**2 + 22*b + 12. Let a be t(-9). Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*y + 14 = -10*y, 5*c - 2*y = 11. Which is smaller: c or 5\/1483?\nAnswer: 5\/1483","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 212 = -3*q - 203, 3*w + 2*q - 10 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -158 - -106. Let u = v - -119. Let s = 59 - u. Let h(c) = -c**2 + c + 1. Let d(o) = -4*o**3 - 8*o**2 + 8*o + 8. Determine s*h(g) + d(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:13 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h - 8. Let f be q(2). Suppose 4*p + 2*m = 2*p + 6, 5*p = -f*m + 16. Suppose p*i = 8*i + 4. What is the second smallest value in -5, 1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -483*s**4 + 1152*s**3 + 2565246*s**2?\nAnswer: -11592*s + 6912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 73*z - 9299. Let q be g(108). Is q <= -1411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.9 + 48. Which is the fourth biggest value? (a) 5 (b) 0.3 (c) u (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1043 + 4?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 47 = -3*s. Let p(g) = -2*g + 35. Calculate the remainder when (2 - (-4 - 2)) + 0 is divided by p(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, -1 in decreasing order.\nAnswer: 11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/11806 and 10\/5660977?\nAnswer: 11321954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 23 = -6*n - o, -4*n - 31 = 5*o. Let b(g) = -8*g + 2*g + 4*g + 4 + 7 - 13. Give b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2287*d**2. Let n(j) = -2*j. Give z(n(y)).\nAnswer: -9148*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -16. Suppose y + 2*n + 6 = -f*n, 4*y - 3*n = 22. Solve 3 = -3*p + y*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 16, i: 2}. What is prob of sequence fff?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-186)\/22)\/(-3) + 20\/110. Let f(i) = -i**3 + 3*i**2 + 3. What is f(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062049?\nAnswer: 271, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/8)\/(3\/(-8)). Suppose 0*c = -2*c - r. Sort 0, -1, c in ascending order.\nAnswer: c, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 64.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*g - 5*g**2 - 2*g + 10 + 0*g - 2*g.\nAnswer: -5*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-1)\/(-5))\/((-5)\/((-25)\/2)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*v**4 + 15*v**4 + 8*v**3 + 8*v**4 - v**3 + 2*v**2 to the form r*v**3 + k*v**2 + m*v**4 + o + f*v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.0119808 rounded to 1 dp?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229 and 114958?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*1\/14*(0 + -1). Suppose 3*a - q + 12 = 0, 3*a - 2*q = -a - 18. Let l be a\/3 - (-3 - -1). Is l not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 228 + -224. Let k be 2 - 1 - (-1 - 2). Is b at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25631944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o + 3*l + 20, -20 = -5*o - 5*l. Find the second derivative of -2*m - 8*m**3 + 11*m**3 - 4*m**o - 3*m**3 wrt m.\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 457. What are the prime factors of m(0)?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30.4*-0.8536\nAnswer: 25.94944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -2 (c) 0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.34 - -1.421. Let p = -0.014 + o. Round p to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2456, -2312, -2154, -1976, -1772, -1536?\nAnswer: -1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknthnh. Give prob of sequence kt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**3\/7 - 341160*h**2\/7 + 14548768200*h\/7 = 0?\nAnswer: 0, 85290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 14. Suppose 0 = u*r + 2*i - 28, -27 = -5*r - 2*i + 25. Suppose x - 4 + r = 4*t, 4*t = -x. Solve -6 + t = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from xxaoao.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.132 - 31. Let k = f + 13.968. Let i = k - 14. Put 2, i, 9 in decreasing order.\nAnswer: 9, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19734.\nAnswer: 2, 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*b**2 + 33*b**2 - 121*b**2 - 28*b**3 + 45*b**2 - 22*b as d*b + j*b**2 + f*b**3 + k and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.49 - -0.09. Let l = -1 - c. Let d = -499\/5 - -100. What is the third smallest value in 0.1, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 216*r + 11664.\nAnswer: (r - 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 320, 473, 626, 779, 932?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2905 + 2*v**3 - 2905 - 13071*v + 13070*v - 2*v**3 - 2*v**3.\nAnswer: -2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*g - 23 + 7, -27 = 2*l + 5*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 743, 2604, 5597, 9722, 14979, 21368?\nAnswer: 28889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f = -475 + 1235 - 605 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 0, -2, -29 in decreasing order.\nAnswer: 4, 0, -2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/18 - (-2)\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*k + 2 + 2, -z = 4*k + 7. Let c be 1*k - (1 + 5 + 2). Let a(h) = -h - 10. Let i be a(c). Solve s - m - 24 = -6*m, i = 3*s - 2*m + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 159, 243, 325, 405, 483, 559?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**36\/l*l))\/(l\/(l*l**19\/l))*l**(-2\/29)*l*((l*l**(-5\/2))\/l*l)\/l assuming l is positive.\nAnswer: l**(-1077\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/(q*q**36))**(-1\/11) assuming q is positive.\nAnswer: q**(184\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 1, 0, 0.4, -0.0326?\nAnswer: -0.0326","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 408.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8498*i - i**3 + 8498*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 2107*p - 141 + 2107*p)*(2*p - 2*p + p).\nAnswer: 4*p**3 - 141*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2)*-1) + sqrt(32) + -2 - sqrt(10)\/(sqrt(5) + -3*sqrt(80)).\nAnswer: -2 + 34*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:50 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 times -2?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -5*f, 4*u - f = 5*u - 2. What is the least common multiple of u and (-280)\/(-28) + (4 - 0 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3073 * 12\nAnswer: -36876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*d = -2, 3*p - d - d = 0. Suppose 0 = j + c + 13, -2*j = -2*c + 7 + 7. Sort -2, p, j in descending order.\nAnswer: p, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wewseseseeww?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + x - 5*x)*(-1 - 3 + 6)*(-145*x + 111*x - 2 + 112*x).\nAnswer: -156*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 15438, -15 in ascending order.\nAnswer: -60, -15, 15438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.4. Let f = 72.6 - 73. Which is the closest to 2\/3? (a) -1\/6 (b) z (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -810 divided by -405.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 88. Let x(i) = -20*i**3 - i**2 - i. Calculate the smallest common multiple of k and x(-1).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-48))\/(((-5)\/(-1))\/(-5)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87012892 divided by -103834.\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avt when three letters picked without replacement from varctddraccrdarvc?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 8*u**2 - 11*u + 4. Calculate i(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m - 16, 3*r - 13 = 2*m. What is the remainder when 89\/r + (-8)\/(-28) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**6\/150 - s**5\/50 - s**4\/20 + 4*s**3\/15 - 2*s**2\/5 - 89*s. Factor x(k).\nAnswer: (k - 2)*(k - 1)**2*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 196. Let x(o) = 417*o + 2. What is y(x(n))?\nAnswer: 173889*n**2 + 1668*n - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 139.\nAnswer: 5\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -123, 20, -3 in increasing order.\nAnswer: -123, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4 - (8\/6 - 6)). Solve -5*n - 8 = -k, 7*k + 16 = d*k - 4*n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 - 1.5. Which is the closest to -0.1? (a) -0.4 (b) -1\/4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 11*g + 18. Which is smaller: g or -0.03?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 509 - 515. Let x(b) = -b**2 - 9*b - 2. Determine x(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + (3 - (-1 + 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*4 + -1 + 1. Calculate the remainder when 117 is divided by 24 + -27 + (1 - -85)\/v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4162, 7210, 10258, 13306?\n\"Answer: 3048*h + 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1043*p - 8. Let l(q) = q - 1. Let i(c) = 4*l(c) + s(c). Let m be i(10). Is 1*3*m\/(-42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by (-2)\/30*9 - (-233)\/5?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*z - 2 = -76*z - 2*n, z + 32 = 4*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15, -187, -473, -873, -1387, -2015?\n\"Answer: -57*f**2 - f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 8627036?\nAnswer: 345081.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - n + 19 = 0, 3931*n = 4*b + 3899*n - 52 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -13, -2\/19, -26.2 in descending order.\nAnswer: 0.17, -2\/19, -13, -26.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 84, 172, 260, 348?\n\"Answer: 88*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -70, 2400, -3 in descending order.\nAnswer: 2400, 64, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545055.\nAnswer: 5, 309011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*d + 13245 + 3044 = 203*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.27023 milligrams to tonnes.\nAnswer: 0.00000002727023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2492\/11 - 480802\/2123. Which is bigger: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-3)\/(-12) - 3\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/11 + 12*c\/11 + 10\/11 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1, 0.11, 6\/11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*c = 75 - 11, 3*t - 77 = -2*c. Let p = t + -28. Let a(i) = 6*i + 1. Calculate a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -518116 or -518117?\nAnswer: -518116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/21936 and 89\/101676.\nAnswer: 185863728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-64 - -103)\/(-39))\/((-2)\/(-4) - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (1 - -3 - 8). Let j(l) = 2*l**3 + 6*l**2 - 12*l - 10. Let t be j(f). What is the highest common factor of t and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -2734 - 1322. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -335633, -1342541, -3020721, -5370173, -8390897, -12082893?\n\"Answer: -335636*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 - 785\/6. Let y = -0.13 - 0.87. Put b, y, 1, -3 in decreasing order.\nAnswer: 1, b, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 437\/63 + -47\/7. What is the nearest to y in 0, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let p be (-7)\/3 + -1 + 2. Let x = 17.07 - 17.17. What is the nearest to x in -7\/2, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-11 + 11 + 2*q) + (-q + 2*q + q)*(-1 - 1 + 3)*(-3 + 2 - 1)*(1 + 0 + 3) - 3*q - 2*q + 2*q.\nAnswer: -23*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 113, 111, 97, 65, 9?\n\"Answer: -r**3 + 5*r + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 divided by -103.\nAnswer: 110\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/(s*s**(-1\/3)*s)*((s**(1\/2)*s)\/s)**3)\/((s*s\/(s*s**(-1)))**50)**15 assuming s is positive.\nAnswer: s**(-8989\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Let w be p(4). Let u be -1 - 3\/w*0. Let r be u\/(-4) + (-11)\/12. Which is the third smallest value? (a) r (b) -0.1 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v. Let z = 4 + v. Suppose m - z = -m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 64\/((-1)\/5*2). Let i be (-3)\/23*n\/3. Let w = i + -3693\/230. Calculate the common denominator of -119\/6 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 4:53 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 253366070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 4334.7 and 10731.\nAnswer: 15065.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*b - 6 = 0, -8 = -25*i - 3*b + 7*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138637020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53\/33022 or -1?\nAnswer: 53\/33022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 445 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, -2, -6\/5, 0, -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 142*n**3*t**2 - 451764*n**3 - 225*n**2*t**3 + 2*n**2 + 1 wrt t.\nAnswer: 284*n**3*t - 675*n**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(sqrt(16)\/sqrt(2)))\/(sqrt(162)*-4).\nAnswer: -sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/80 and 71\/504?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -8. Suppose -3*m = -0*m - k - 31, -k = -m + n. Is 5 a factor of (-2)\/(-8) - (-57)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**3*t - 1126*f**3 + 15*f*t wrt t.\nAnswer: f**3 + 15*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {u: 13, e: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:09 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 955.9 + -955.0682. Round l to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 468.7 to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -674032 in -30, 1\/2, -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 7*q**2 - 19*q - 1. Let t be (-4 + 10)\/((-6)\/(-9)). Let n be j(t). Is n greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/(-70))\/(4\/(-50)). Which is the smallest value? (a) t (b) 0.4 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13419*c - 11961 = -12090*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76)\/(2*sqrt(2)) - sqrt(38)))\/((sqrt(32)\/sqrt(4))\/sqrt(4) - (2*sqrt(4))\/sqrt(2)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 30 + 0 - 5*t + 10*t - 3*t. Let c be g(-13). Suppose 0*y - 4*y + 3*w + 789 = 0, -788 = -4*y + c*w. Calculate the greatest common divisor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let d be 2210\/(-63) + 18\/81. Let t = d + 35. Which is the nearest to -2? (a) y (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3205750, -3205749, -3205748, -3205747?\n\"Answer: h - 3205751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 32 = 14. Find k, given that -w*k**3 - 15*k**4 + 8*k**2 - 5*k**2 + 3*k**2 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 - 65*z**3 - 14 + 39*z**3 wrt z.\nAnswer: -78*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4 + 10*d**3 + 60*d**2 - 40*d - 160 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 11*j + 3. What is a(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92.191 + 91.5. Round o to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 262*c + 4340. Calculate n(15).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46, 28, 10, -8, -26?\n\"Answer: -18*u + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -s. Let y(p) = -4*p**2 - 2*p - 3. Let q(g) = -1 - 12*g + 5*g - g**2 + 6*g. Determine s*y(j) + 6*q(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7885*a**4 - 15373 wrt a?\nAnswer: 31540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q**3 - 37 + 37)*(-2 + 2 - 1) + 4*q**3 - q**3 - q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**4 - 138*u**3 + 1575*u**2 + 552*u - 6348 = 0.\nAnswer: -2, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -495, -675, -917, -1215, -1563?\nAnswer: -1955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 51580*g + 51576.\nAnswer: 4*(g + 1)*(g + 12894)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1698511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2534*y - 44 + 25 + 2541*y + 2539*y - 7610*y + 20.\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 q, and 1 m when four letters picked without replacement from {q: 3, m: 2, k: 2, h: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 616*i**3*s + 46*i**3 - 2*i**2*s - 5733*i*s wrt i.\nAnswer: 3696*s + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let p = 16 - -10. Let l be p*(5 + (-16)\/4). Let o(a) = -14*a + l*a - 17*a. Calculate o(y(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2590 + 2590.3. What is the second biggest value in 4\/25, 5, -3\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 31 = -2*u - 0*u, -3*l + 4*u = -113. Suppose 892*y - 675*y - 1085 = 0. Calculate the highest common factor of y and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 341 + 128?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6918*u + 76071. What is a(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v + 2*v + 2*v**2 - 4 + 2*v - v. Is 10 a factor of a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 2*m - m - 31)*((3*m - 3*m + m)*(-2*m + 6*m - 2*m) - 4*m**2 - m**2 + 6*m**2 + 4*m**2 - 2*m**2 - 4*m**2).\nAnswer: m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 22*p**3 - 56*p**2 + 111*p + 49. Let z(r) = -7*r**3 + 18*r**2 - 34*r - 16. Let s(f) = -6*m(f) - 19*z(f). Determine s(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5776 (base 15) to base 8\nAnswer: 44201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h - h**3 - 4*h**2 - 4*h**2 + 9*h - 3. Let x be -5*(-2 + 3) + -4. Let l be p(x). Put 5, l, 4 in decreasing order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9644 rounded to 2 dps?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.1, 2\/11, -4\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18599466 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.13 - 0.03. Let o be (-1 + 2)\/((-9)\/6). What is the closest to m in 3, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.5 times 14630?\nAnswer: 358435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155456 and 4999232?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/24*2\/1)\/1. Let r be (-2 + h - 2) + 11. Let s(p) = -7*p**2 + 7*p + 6. Let n(f) = -8*f**2 + 8*f + 7. Calculate r*s(z) - 5*n(z).\nAnswer: -2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 24*z - 23. Let x be r(16). Suppose 5*o = 10*o - x. Calculate the highest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/247 - 504\/1235. Let v be -2*(3 + (-95)\/30). Sort -1, 21, v, j.\nAnswer: -1, j, v, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 458 = 4*w. What are the prime factors of (w\/27 - 4)\/(1\/42)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -45.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*k**4 + k**4 - 4*k**4 + (2*k**3 + k**2 - k**2)*(-2*k + 2*k + 3*k)*(-4 + 4 + 1).\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, -2, -3\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isswasiwsassszsaiwh. What is prob of picking 1 a, 1 w, and 1 s?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 5453366.\nAnswer: 5453366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*c)*(-9 + 6*c + 9) - 1 - c**2 + 1 + 3*c**2 - c**2 + 0*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + l - 4 + 0 + 0 - l + (1 - 3 + 1)*(-5*l + l + 3*l) - 3*l - 3*l + 4*l + 0 - 2*l + 0 + 4*l - l - 5*l - 4 + 2*l + 4)*(0*l + 4*l + 1 - l).\nAnswer: -9*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/7367 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1777919 is divided by 5208?\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40024*o**4 + o**3 + 297*o**2 + 68937850.\nAnswer: -160096*o**3 + 3*o**2 + 594*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (0 - 2 - 5). Let n = -5 - s. Suppose n*w = -d + w + 72, 4*w = -5*d + 365. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y - 0. Suppose -32 = -4*o - y*b, -o - o + 16 = 5*b. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 129304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158230581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -9, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 11 = -k - 3, -p - 2*k + 44298 = 44301 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 - 5 = 3*c, -4*c + 2*o - 8 = 0. Suppose 12*w - 8*w - 24 = c. What is the remainder when 58 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**2 + h**2 + 0*h**2)*(-5*h + 2*h + 2*h) + (-3 + 0 + 1)*(-27*h**3 - 130*h**2 + 130*h**2) in the form b*h**3 + d + q*h**2 + p*h and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 424*n + 1632.\nAnswer: 4*(n - 102)*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -361 + 351?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50.49 in 5, -3, 0, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-125)*5 + (-48)\/3520*32\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.484 millennia in centuries?\nAnswer: 4954.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/3 - 676*r\/3 - 3264.\nAnswer: -4*(r + 16)*(r + 153)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1241 - -24?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247236, -494474, -741712, -988950?\nAnswer: -1236188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**5 + 5150*r**4 - 253*r + 109 wrt r?\nAnswer: 20*r**3 + 61800*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01139 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 34 = -2*v, -133*l + 925 = 7*v - 9*v + 4*v for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1149530*f**6 + 5*f**2 - 20*f - 2705 wrt f.\nAnswer: -137943600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12316 + -4222. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56*v**4 - 316*v**2 - 10363.\nAnswer: 224*v**3 - 632*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/3)*r)\/(r\/((r*((r*r*r*r*((r\/r**(1\/16))\/r*r)\/r*r)\/r)\/r)\/r*r*r*r))*((r**(2\/11)\/r)\/r)**(1\/3) assuming r is positive.\nAnswer: r**(997\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505047701, -1010095402, -1515143103, -2020190804?\nAnswer: -2525238505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 33*q = -s + 24214, 5*s - 121026 = 4*q. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 14*l + 19*l + 9 = 0, 0 = -4*p - 4*l - 24. Put 31, p, 0, 2 in decreasing order.\nAnswer: 31, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 1. Let a(f) = -4*f**2 + 2*f - 6. Let d(v) = a(v) + 5*g(v). Suppose 8*k + 39 = 3*k + 4*h, -5 = k + 2*h. What are the prime factors of d(k)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 11:14 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/(i*(i*i**0)\/i*i))\/i)\/i)\/i**(-11\/5))\/(i*i*i**(-10)*i*i*i**(-1\/5)) assuming i is positive.\nAnswer: i**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/(k**5\/k))\/(k\/(k\/k**1))**(-1\/14) assuming k is positive.\nAnswer: k**(-125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 8 = -p. Let z be p\/8 - (-3)\/(-4). Let o(a) = -12*a**3 - 852*a**2 + 2*a + 144. Let l be o(-71). Put l, z, -5 in ascending order.\nAnswer: -5, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -929570\nAnswer: 3718280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 328 in 0, 158, 7, -1, -0.5?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-5\/2)*l)\/l*l**(2\/13)*(l**(-3\/2)\/l)\/(l*l**(-49)))**6 assuming l is positive.\nAnswer: l**(3834\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 19*p = -252. Let h = 143 - 81. What is the remainder when h is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3340960 divided by 87920\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-5) - 1\/5)*3. Solve -2*c + 3 = -u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -38*s - 2. Suppose 5*p + 0 = -5. List the prime factors of x(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 4*i = -3. Let f be (-2 - i) + -1 + 6. Suppose -5*t + 311 = 3*p, -4*p = -f*t - 3*p + 120. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y + 13*y - 9 = -4*b, b = 3*y - 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564253461 to the power of 1\/4, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*1)**2*3 + 4 - (3*(1*sqrt(65) - sqrt(65) - sqrt(65)))\/(4*sqrt(5)*2).\nAnswer: 3*sqrt(13)\/8 + 979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 7632*q + 22878.\nAnswer: 2*(q - 3813)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**7\/210 - 11*q**6\/120 - 3*q**5\/10 + 12*q**2 - 9*q. Determine p so that l(p) = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (434 + 81 - 5*n + 98)*(-1 + 2 + 1 + 2*n) to the form f*n + h + z*n**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*f = 11, 4*f + 3 = 2*u - 5. Suppose 4*j - 208 = -u*k, -2*k + 166 = 5*j - 93. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 12. Let v be b(4). Suppose v = f + 1, f = 2*d - 384 - 19. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -443976.83234 + 6.83234. Let v = -443960.00035 - a. Let b = v + -10. What is b rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a week in minutes?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10130002 (base 4) to base 10.\nAnswer: -18178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 1, -29, -73?\n\"Answer: -7*v**2 + 5*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l = 73560 + 82402. List the prime factors of l.\nAnswer: 2, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -137518618073066 and -0.05.\nAnswer: -137518618073066.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 + 255 - 93 - 1172*t**3 - 862*t**3.\nAnswer: -2034*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5\/4, 1, -4, -152, 17\/4, 1\/6, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 12 = -5*k - 3*p, k + 25 = -4*p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:12 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64745603, -64745590, -64745577, -64745564?\nAnswer: -64745551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h**2 + 7*h + 43. Let o(n) = -13*n**2 - 8*n - 52. What is 5*o(v) + 6*r(v)?\nAnswer: 25*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73*a - q + 143, -2*a - 4*q = 6442 - 6434 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -13. Let k be 6 + -2 + 2 + 3. Which is bigger: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - n, 0 = 4*q + 2*n - 7*n + 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.3, -1\/7, -0.4, -8326?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 6:11 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 10:31 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 15 = -5*r, -3*r - 25 + 2 = 4*y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 157584 and 13328.\nAnswer: 2678928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -36*f**3 - 96*f**2 - 64*f = 0.\nAnswer: -4\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-36))\/((-6)\/27). Let o = 0 - 0. Suppose 2*z + o*z - 20 = 0. Solve 3*a - z = -h*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -17\/12*v**5 - 5\/6*v**7 + 0*v**2 + 0 + 5\/9*v**3 + 25\/36*v**4 + 7*v - 41\/18*v**6. Solve b(y) = 0.\nAnswer: -1, -2\/7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.055 + 3.055. Let c = 30 - 119\/4. Let t = 2.3 - 2. What is the closest to 0.1 in v, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1366*s**4 + 401*s**3 - 2241616 wrt s?\nAnswer: 5464*s**3 + 1203*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.77956175 and -86775?\nAnswer: 86776.77956175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309608, -309450, -309292?\nAnswer: -309134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722 + 898 = 81*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99.9345 + -0.2145. Let p = h - 100. Which is the biggest value? (a) p (b) -3\/5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 2*f + 1170. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*z**2 - 23*z**2 - 45*z**2.\nAnswer: -121*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 286 - 282. Let o(b) = b**2 - b + 1. Determine o(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -696 greater than or equal to -3\/32686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2023310 (base 4) to base 12\nAnswer: -5218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000461252 rounded to 6 dps?\nAnswer: 0.000461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-20))\/((-15)\/150).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 5 + 1021*j**3 + 1401*j**3 + 11.\nAnswer: 2422*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8958 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 54, 3, -2\/5, 0.5, -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -2b?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9 - 7. Let j = -0.9 + h. Suppose -3*m - 9 = -4*x, 1 = x - m - m. What is the biggest value in 0.2, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u - 7. Let m be y(-2). Let l be -7 + 1 + 1 - -1. Which is the nearest to 0? (a) l (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 + 93. Is (-2)\/x - 21249\/(-135) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 26*p**2 - 884*p - 4. Let b be d(34). Put b, 9, 4, -37 in descending order.\nAnswer: 9, 4, b, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*f - 2*j - 0, 2*j = 3*f + 37 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 50, 152, 346, 662, 1130?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -45*r**4\/4 - 60*r - 324. What is the first derivative of b(x) wrt x?\nAnswer: -135*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1656 + -1522 - (82 + 0).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 35 + 1 = 5*x, x = q - 8. Suppose -32 = -q*w + 7. Suppose 3*f = b + w, -f - 9 = 3*b - 0*b. Solve 3*g + i - 2 = g, -3*g - i = -f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52632*102.\nAnswer: -5368464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*h - 14 = 4*h, 5*h = -4*u. Let q = -141 + 143. Suppose -7*x = -g - 8*x - 1, -3*g = -q*x - 17. Solve 0 = -u*f - 12 - g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186003558 to the power of 1\/2, to the nearest integer?\nAnswer: 13638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1739, -1545, -1209, -725, -87, 711, 1675?\n\"Answer: l**3 + 65*l**2 - 8*l - 1797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/((-7590)\/1090) + 2\/5*(-145)\/(-667).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 - 590*g - 2194. Calculate k(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1277 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**7*w**8*(w*w**(-8))\/(w*w*w\/(w*w**(-1\/11))*w))**(3\/2))**(-45) assuming w is positive.\nAnswer: w**(-8775\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-18))\/(7\/56)*1*3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 3122 + 1638. Let t be (-136)\/(-12)*6\/2. Calculate the highest common factor of c and t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 - 26*t**2 + 4*t - 21. Let j(y) = -y**3 - 9*y**2 + y - 7. Let v(l) = -2*b(l) + 7*j(l). Let d be v(-11). Solve -3*c - 1 = -d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 5 - -13 - 6 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 746490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 5*c - 8. Let m = 24755 + -24749. What is the smallest common multiple of m and o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4528825 is divided by 2264408.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -4\/5, 5, 83\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3444090 is divided by 37033?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-18)\/44))\/((-404)\/2358552) a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-15) - 2606\/(-45). Let t = j - 58. Sort -6, t, 0.1 in descending order.\nAnswer: t, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a29 - 135?\nAnswer: -7b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 226 + 46. What is the remainder when 69 is divided by 10\/25 + t\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 715, 1249, 1773, 2293, 2815, 3345, 3889?\nAnswer: 4453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6*b + b + 384 = 0, 3*b = 5*r - 898. Suppose m - 62 = 4*q, 5*q + 3 = -m + 29. Calculate the remainder when r is divided by m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 3*i**2\/2 + 3*i - 392. What is a(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393810 is divided by 6990?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 - 3*w**2 + 2*w + 1. Suppose 0 = -y + 10 + 4. Suppose -5*v - 4 = -y. What is the units digit of x(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204))\/sqrt(12) - sqrt(17)*1*-5.\nAnswer: 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29542 - 8293860.\nAnswer: -8323402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*c - 91*c + 441 = 2*s, -1074 = -5*s - 2*c. What is the greatest common factor of s and 3402?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.7, -0.5, 1\/2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/38937 + 731177\/259580. Find the common denominator of (-246)\/(-15)*190\/456 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 7:43 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 10\/6*6. Suppose 4*o = -1 + a. What is the remainder when 4 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250*q**3 - 1037*q**2 wrt q.\nAnswer: -1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1573111 or -1573119?\nAnswer: -1573119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brgbtch. Give prob of picking 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - 2*k)*(5 - 1485*k + 1595*k - 17).\nAnswer: 110*k**2 - 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4483*z + 459 = -4432*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 222 + 227 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-3)*0)\/(-2). Suppose 5*v - 40 = 5*q, p*q + 4*q = 3*v - 21. Suppose 3*t - v = 1. Solve -6*n + 2 = -t*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 6*h. Let y = 0 + h. Let o = 1497.2 - 1497. Which is the nearest to y? (a) -2 (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 2. Let t be w(0). What is the second derivative of -h**t - 6*h**2 + 6*h + 12*h**2 wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbaauha. Give prob of picking 1 l and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 563922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = g - 14, -3*i + 6 = 5*g - 4*g. Suppose 4 - g = n. Is -0.1 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -3*m. Suppose -4 = m*y - 14. Let r = 4 + -3. Sort -1, r, y.\nAnswer: -1, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 2*w - 2, 4 = 5*m - 4*w - 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -445874170827\/116 + 3843416580. Let w = t - -978865\/3. Let d = 5\/116 - w. Calculate the common denominator of 25\/4 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1936) + (sqrt(1936) + (sqrt(1936)*1 - sqrt(1936)))*-1 + sqrt(1936))\/(1*sqrt(72) - (-1*sqrt(800) + sqrt(800))).\nAnswer: 11*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2366*v - 952. List the prime factors of t(-8).\nAnswer: 2, 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(19\/(-114) + 5\/(-6)). Let j = 2 - -1. Solve -j*x - 2*q - 16 = f, 0 = -3*x + 2*x + 3*q + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k + 2. Let v(q) = 16*q + 4. Let m(x) = 9*o(x) - 4*v(x). Let a be (-8)\/(-6)*(-18)\/(-4). Let p = 2 - a. What is m(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 2185*u.\nAnswer: -5*u*(u - 437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/5 (b) 18 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 12461395?\nAnswer: 12461395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 10) to base 9\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-seven quarters of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 11 (c) 115 (d) -2 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274, 543, 802, 1045, 1266, 1459, 1618, 1737?\nAnswer: 1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 979657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 1:39 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.07. Let l = g - -0.03. Let v = l - -2.2. What is v rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60\/18*(-18)\/(-15) + 513.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/19 (b) -0.17 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.6 from -4375554554.\nAnswer: -4375554555.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Let v be m(-3). Suppose -v*h = -5*h + 6300000. Round h to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (5 - 3) - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(147))*-2 - 6*(1 + (sqrt(147) - (sqrt(147) - (0 + sqrt(147)))) + sqrt(147))**2.\nAnswer: -3544 - 182*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -1\/6*b**3 + 0 + 193*b + 0*b**2. Let t(s) = -213*s**2. Calculate g(t(y)).\nAnswer: 213*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 53939?\nAnswer: 107878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0695695462909481 - 0.1.\nAnswer: -0.0304304537090519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - -40. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 - 8*c**2. Let q(z) = -z**2. What is 6*q(a) - v(a)?\nAnswer: -7*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, d: 3, t: 3, y: 1}. Give prob of picking 1 d, 1 y, and 1 t.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 + 96942*y**2 - 678687*y - 4265756 = 0.\nAnswer: -96949, -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 749, 5947, 20051, 47513, 92785?\nAnswer: 160319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*p - 133 = 2*p, -3*p + 105 = 4*t. Suppose 5 = -t*o + 28*o. Suppose -o*d + 27 = -2*d. Solve 3*u + 3 + d = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-2)\/4). Let x(h) be the first derivative of -1\/4*h**4 - 2\/3*h**l + 0*h**2 - 3 + 0*h. What is the third derivative of x(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g + 20. Let s be b(6). Let t(u) = -u - 3. Let h be t(-2). Let r be ((-2)\/h)\/(4\/6). Solve r*j - s*j + 3*q = -14, j - 21 = 4*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -4.1, 3, -10\/27, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -4*h - 14, -44 = -3*h + 4*t - 67 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/7)\/h)\/h**(-4))\/(h\/(h*h*h**(-2\/5)*h))**(5\/16))**4 assuming h is positive.\nAnswer: h**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 8*r**2 + 8*r + 5. Let x be c(-7). Let d be (-2)\/(2 + (-8)\/3). Let q be d - (3 + 0 + -4). Which is smaller: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 10:04 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 58893161554.7.\nAnswer: 58893161554.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -2\/331, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -18*y - 1802. Determine p(-100).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 17. Let x(d) = -2*d**3 + 12*d**2 - 10*d + 7. Let c be x(5). What is the third derivative of 7*m + 5*m**4 + 3*m**w - c*m - 20*m**2 wrt m?\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**10\/30240 + n**9\/15120 - n**4\/24 + 2*n**2. Let v(d) be the second derivative of s(d). Let v(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) + (-10)\/(-35) + 8. Let t be (-2 + i)*4\/8*3. List the prime factors of (7\/((-84)\/16))\/((-6)\/t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*y - 108*y - 84 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 371.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*v + 10 = -0*v, -3*g = -v - 6. What is the third derivative of -5*x**g - 3*x**6 + 8*x**2 - 3*x**6 - 5*x**6 wrt x?\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -501b7c (base 13) to base 15\nAnswer: -26b469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430226224?\nAnswer: 2, 7, 2399, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*d + 26*d - 48*d**4 + (-d + d + 2*d)*(-2*d - d**3 + 2*d) + d**4 - 2*d**4 - d**4 to the form l*d**3 + i*d**4 + v*d**2 + g + n*d and give i.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 44, 46?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 34*t**2 - 16 + 1 - 33*t**2. Let c be w(3). Suppose 9\/2*n**2 + 9*n + 6 + 3\/4*n**c = 0. What is n?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -61. Let s(j) = -8*j + 31. Let c be s(y). Sort c, 18, -0.5, 2 in descending order.\nAnswer: 18, 2, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -684 times -0.4\nAnswer: 273.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + 2. Let d be k(-2). Let g(y) = 7*y + 16 + 0*y**3 + 10 - y**2 - 21 - y**3. What is the units digit of g(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*m**2 + 726*m**2 - 246*m**2 + 4 - 4 - 245*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 14 and -2650.3659967.\nAnswer: -2636.3659967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.135951 to two dps.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.1, -1\/11, -1\/3, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/43789922 and -17\/3980902?\nAnswer: 43789922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from efeteefaaffeea.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 21. Suppose -4*f = 3*s + 11 - 51, 5*f + 4*s - 51 = 0. Let i(z) = -z**3 + 8*z**2 - 7*z. Let p be i(f). Does 10 divide a(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2. Let d(t) = 129*t**2 - 4*t - 3. Calculate d(q(z)).\nAnswer: 4644*z**4 - 24*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 - 14*t**2 + 32*t + 8. Let v(n) = 17*n**3 + 57*n**2 - 128*n - 36. Let m(a) = 9*d(a) + 2*v(a). Factor m(f).\nAnswer: -2*f*(f - 2)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26241, 52492, 78747, 105006, 131269?\n\"Answer: 2*z**2 + 26245*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4095387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 16*m + 12436434. Let y = m + 701826. Round y to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/40)\/((611\/(-26))\/47)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1601 - 1133. Suppose 4*b - 4*h = f, -4*h - 583 = 4*b - 9*b. What are the prime factors of b?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 - 17*w + 230. What is m(20)?\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, g: 9}. Give prob of sequence gpp.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/11 - 1204*m**2\/11 + 10690*m\/11 - 9488\/11.\nAnswer: 2*(m - 593)*(m - 8)*(m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - t - 54, 29603*t - 29607*t = -c + 6 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.2 + -19. Sort 0, -3, c.\nAnswer: -3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q - 4. Let o be y(2). Factor -3*c**2 + 2 - 9*c + o*c**2 - 3*c + 7.\nAnswer: 3*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 times 0.76\nAnswer: -14.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 95488 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - 462\/(-55))\/(2\/20). Suppose -5*j - 4*h = -61 - 5, -3*j + i*h = -14. Calculate the least common multiple of 32 and j.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0.8. Put 5, 2, 3\/4, h in decreasing order.\nAnswer: 5, 2, h, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 + 199.909. Let b = j + 0.026. Put -3, b, 0.3 in descending order.\nAnswer: 0.3, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2040.538 kilograms to grams.\nAnswer: 2040538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3 - 3 + 1. Let r(s) = 96*s + 59*s - 3 + 0 - 154*s. Let x(l) = -15*d(l) - 5*r(l). Let v(b) = 2*b**2. Calculate v(x(c)).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0, 0.45, 926, -0.5, 43 in descending order.\nAnswer: 926, 43, 0.45, 0, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 124242122?\nAnswer: -124242101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77 (base 13) to base 2.\nAnswer: -1100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2\/7, -5051, 0 in descending order.\nAnswer: 28, 0, -2\/7, -5051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*1*sqrt(5).\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -3*x - 504. Which is smaller: x or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2166808699 to the power of 1\/2, to the nearest integer?\nAnswer: 46549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-150 + 150 - 18*x)*(-1 - 1 + 1)*(-x + 3*x - x)*(2 + x + x + 12*x) as v*x**3 + f*x + o + k*x**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = -15*o - 2780. Suppose 273*z - o*z + 15 = 0. Solve -c = 5*r - 23, -r + c = z*c - 10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/20 + 7*y**4\/12 + y**2 + y. Suppose -s - 3 - 4 = 0. Let l be d(s). Solve 5*x - 18 = -l*u, -u + 4*u - 9 = -3*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((138\/23)\/(16\/(-6)))\/6)\/((-1)\/(-248)).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2422 (base 5) to base 3\nAnswer: -111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -24*y - 12369*c + 12364*c, -2*y - 5*c + 0*c = -220 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*u - 2*u - 28, -u = 4*n - 22. Suppose 0 = -n*k + 3 - 21. Let q be ((-1 - k) + 2\/(-6))*3. Solve 3*j - l - q = 0, 1 = -l - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17))**2*5 + -1.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 3*k - 2. Let j be s(-2). Let z be (0 - 3\/(-6))\/j. Let v = 3\/8 - z. Which is the closest to -1? (a) -2\/11 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o**3 + 2 - o**3 - 9 + 6 - 13*o**4 + 2*o**3 as w + k*o**2 + q*o**4 + u*o**3 + v*o and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 9*y + 5*k = -18, 2*y + 5 = -k. Let b be y + 72\/16 + 2\/(-4). Sort b, -5, 5, 27.\nAnswer: -5, b, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43355, 43434, 43529, 43646, 43791, 43970, 44189?\nAnswer: 44454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:35 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1117 less than or equal to -16753\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/((u*u**(-27)\/u)\/u)*u\/(u\/u**(13\/2))*(u**(9\/4)\/u)\/(u**13*u) assuming u is positive.\nAnswer: u**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2423 = 212*u + 3089 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313 - 10?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18417873*x**3 + 2*x**2 + 46940*x - 8?\nAnswer: -110507238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 109*m - 52*m + 248*m to v + g*m and give g.\nAnswer: 305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 384589, 384596, 384613, 384646, 384701?\n\"Answer: x**3 - x**2 + 3*x + 384586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i*l**3*s - 32974357*i - 161*l**3*s + 9*l**3 + 4*l**2*s - 122*l*s with respect to i.\nAnswer: -4*l**3*s - 32974357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2803.7 - -2777. Round p to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 14 - -6 - (-1 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1996?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 169*w**2 + 5*w - 1. Is p(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**2 - k - 5. Let x(n) = 15*n**2 + 2*n + 14. Calculate -3*x(q) - 8*z(q).\nAnswer: -5*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(8\/12). Let u = 24.8 - 25. Which is the biggest value? (a) u (b) y (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11d54 (base 14) to base 10\nAnswer: -43782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 - 14*p**2 - 5*p + 8. Let m(t) = 2*t**3 - 9*t**2 - 3*t + 5. Let j be 375\/(-45) + 1\/3. Let d(q) = j*m(q) + 5*w(q). Factor d(g).\nAnswer: -g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 106 = 82. Let k(z) be the third derivative of z**6\/120 + z**5\/12 + z**4\/4 + 2*z**3\/3 + 2*z**2. Calculate k(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 1334?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (57\/(-6)*1)\/(-1*(-12)\/(-39624))?\nAnswer: 13, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 63759, 484 in descending order.\nAnswer: 63759, 484, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 77. Suppose 0 = -b*w + 2*i + 77, 3*w = w + 2*i + 48. Round w to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 0*c**5 - 26*c**2 + 0 + 0*c + 19\/24*c**4 + 0*c**3 - 7\/120*c**6. What is the second derivative of y(i) wrt i?\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 79, 61, 17, -65, -197, -391?\n\"Answer: -2*d**3 - d**2 - d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -3\/5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1868 + 1871. What is the closest to -28 in -1\/4, u, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.269 times 0.2?\nAnswer: 0.0538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54696 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.8987 in -15, 0, 0.2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 6 + (-427)\/(-49)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/2*(-1 + 0). Let w(z) = 3*z**2 - 16*z**g + z**2. Let k(d) = 2*d**2. What is w(k(j))?\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 7:22 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*j**3 - 5*j**2 + 5*j**2 + j**3 - 6*j**2 + 6*j**2 + 3*j + (1 - 1 - 2)*(-2*j**3 + 2*j**3 + 2*j**3) as w*j**3 + y + o*j + s*j**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 3, -0.022, 232?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (6 - 17)) + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20055, -20068, -20081, -20094, -20107?\nAnswer: -20120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - 8 + 0*n + n + 7 + (-1 - 5*n + 1)*(4*n**2 - 85 + 85) to z*n**3 + u + x*n + f*n**2 and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**3 - 639*v + 29069 wrt v?\nAnswer: 3*v**2 - 639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 10*p - 20. Solve -p + 1 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2573 is divided by 117?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -33 - (29 + -22 + -38 + 20)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1888*q - 2. Let h(c) = -105*c**2 - 5*c - 1. Calculate i(h(o)).\nAnswer: -198240*o**2 - 9440*o - 1890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d**2 + 9*d**2 + 9*d**2 + 6*d**2 in the form b*d + p*d**2 + t and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - 81. Let f = -0.04 - -0.44. Which is the second smallest value? (a) h (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, 33474, -5 in increasing order.\nAnswer: -104, -5, 33474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954208 is divided by 873?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 2:23 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 530 = 194*v - 152, -6*q = 2*q - 4*q - 188 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**3 + 30*i**3 - 12*i**3 + 63*i**3 - 34*i**3.\nAnswer: 61*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -r. Suppose -9 - 19 = -4*f. Let c = 6 - f. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 11 + -4 + -4. Suppose 109 = 5*c - b*c. What are the prime factors of c?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 561\/2 + -282. Let d be 0 - (-1)\/(2\/(-4)). Let t(i) = -i**2 - i + 1. Let h be t(d). Are m and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8144\/(-4480) + ((-58)\/(-14) - 5) and -93\/196.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133845082121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 248, 1077, 3020, 6635, 12480, 21113, 33092?\n\"Answer: 93*z**3 - z**2 + 181*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -44, -72, -124, -206?\n\"Answer: -d**3 - 3*d**2 + 6*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.24 times -1.63084?\nAnswer: 2.0222416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let b be (-5)\/2*(-66)\/55. Give l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -56. What is the tens digit of (-3)\/(-1)*392\/k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 385236 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/84*66\/55 - (-27)\/84. What is the nearest to -2 in -0.12, 4, d, 2\/13?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*u*v - a*u - 165*a*v - 24*u*v - 388*u + 2*v - 230 wrt u?\nAnswer: a*v - a - 24*v - 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1236*g - 625*g - 642*g - 1457 = 0 for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4 - 5020*f**3 + 559600*f**2 + 6102000*f = 0. Calculate f.\nAnswer: -10, 0, 135, 1130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 3*p**2 + 3*p. Let l(v) = -4*v**3 - 7*v**2 - 7*v. Calculate -3*l(w) - 7*n(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3008293 divided by -20.\nAnswer: -3008293\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10987*f + 1715*f + 7404*f + 4022*f.\nAnswer: 24128*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5*k - 56 = -u, 222*u + 5*k - 260 = 227*u for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-2240)\/(-1135) + 1. Let p = -431\/7718 - i. What is the common denominator of p and 27\/20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 - 317.8497.\nAnswer: -171.8497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*b - 366, -2*b - b - 386 = -h. Let t = -1644 + 1315. Let i = b - t. Does 34 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/1839 and -47\/111?\nAnswer: 68043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.55 + -31.55. Let m = z - -44. Let h = -13.1 + m. Is h > 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.64698 and 44.\nAnswer: -28.46712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 27. What is the third biggest value in -12, 0.2, k?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/21 < -453285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.65 - 2.62. Let v = n + -0.03. Let r = -2.00000036 + v. What is r rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66538 is divided by 4414.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63176*t = 63240*t + 832 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a68 (base 15) to base 9.\nAnswer: 38558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.8, 5, 0?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 6*j + 90. What is j rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1031534076?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2. Let x(a) = -14*a**2 + 7*a - 7. Let q(n) = 13*n**2 - 6*n + 6. Let o(z) = -7*q(z) - 6*x(z). Determine o(i(c)).\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -96\/31 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120 + 168. Let a = -36 + v. Let f be (-2)\/7 - 46\/(-14). What is the highest common divisor of f and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 3*o + 27*o)*(3 - 2 - 2)*(4 + o - 4)*(2 + 2*o - 2).\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16370 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 12*r - 6. Calculate the lowest common multiple of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = -56. Let l(j) = -28 - 8 + 37 + 3*j**2 - 18*j + 57 - j**3. Let g be l(3). Solve g*v + 5*w + 1 = 0, -3*v - 5*w = -4*v - t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h*h*h*h\/((h\/(h**(-2\/29)\/h))\/h*h))**(2\/131) assuming h is positive.\nAnswer: h**(-294\/3799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 829, 3238, 7249, 12862, 20077?\nAnswer: 28894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 411\/32 + -2903\/224. Calculate the common denominator of -81\/140 and h.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -253*v + 542. Determine h(2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 1.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94414081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15214*g**2 + 7619*g**2 + 13*g + 7598*g**2.\nAnswer: 3*g**2 + 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 7*y - 4. Let k(i) = i**3 + 8*i**2 - 3*i - 16. Let u be k(-8). Suppose 0 = -u*s + 15 + 25. Give j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8452 greater than or equal to -8450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*o + 1302 + 483, 2*a - 711 = -5*o. Let v = -254 + a. What is the greatest common factor of v and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -2*p, -5*l = -0*p + 2*p - 24. Let d(o) = 0 - 4 - l - o. Suppose -3*m = 3*c, 111*c - 113*c - 21 = -m. Give d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -144*f**4 + 8088*f**3 - 113473*f**2 + 553288*f - 715084 = 0. Calculate f.\nAnswer: 2, 97\/12, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 - 95. What is the greatest common factor of u and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*1*sqrt(75))\/sqrt(5))\/(sqrt(80) + (sqrt(80) - sqrt(80)*-2)*4 + sqrt(80) + sqrt(80)))**2 + -3.\nAnswer: -1197\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vminwnm. Give prob of sequence mmw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 58*t - 68*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 z when four letters picked without replacement from ffzfuuutuqzututuffz?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2. Let q(v) be the second derivative of -181*v**4\/24 + 71*v**2 - v - 96. Let n(p) be the first derivative of q(p). Calculate w(n(g)).\nAnswer: 32761*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 7*t - 2*t + (3*t - 5*t + 4*t)*(8 + 9 + 13) + 6*t - 3*t - 2*t to s*t + o and give s.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5079204\/1260 - (-9)\/(252\/8). Let m = 2029653166 - 426228011729\/210. Let g = o + m. Calculate the common denominator of -131\/6 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*w + 11\/6*w**2 - 1\/2 - 7\/6*w**3.\nAnswer: -(w - 1)**2*(7*w + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from {u: 3, b: 1, k: 2, c: 1, v: 5, d: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-2)*y))**28)**43 assuming y is positive.\nAnswer: y**1204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 10:30 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146.4433ng to tonnes.\nAnswer: 0.0000000000001464433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106\/1027 - -4\/79. Which is bigger: h or 84.2?\nAnswer: 84.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g**2. Let w(x) = 43*x - 19*x - 24*x + 8*x**2 - x**2. Give u(w(j)).\nAnswer: 833*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9a + -944a?\nAnswer: -94e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 9:55 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s. Let b(n) be the second derivative of 0 + 20*n + 0*n**3 + 0*n**2 - 1\/6*n**4. Give b(w(u)).\nAnswer: -392*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/3)*f\/f**(5\/6))\/(f**(1\/6)*f**(-9)))\/((f**(-1\/2)*f)**(-39)*(f\/f**(1\/10)*f)\/(f\/f**(1\/5)*f)) assuming f is positive.\nAnswer: f**(446\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42859, -43137, -43603, -44257?\n\"Answer: -94*s**2 + 4*s - 42769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(-2\/11)*(r*r**12\/r*r)\/r*(r**(-1\/3))**(-20\/7) assuming r is positive.\nAnswer: r**(3412\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147, -399, -735, -1149, -1635, -2187, -2799?\nAnswer: -3465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5\/10 + 11*w**3\/6 - 13*w. Let b(n) be the second derivative of c(n). Let x(r) = -r. Calculate x(b(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -985 (c) 24 (d) 263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 + 2*k - 2. Let c be a(1). Suppose c*v - 11*v = -24. Suppose 4*x + v*x - 2*x = 0. Solve 0*o + o - 5 = x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 775*a - 771*a = 0. Sort -0.2, -13\/15, 5, a in decreasing order.\nAnswer: 5, a, -0.2, -13\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1 = -4*n. Let w be n\/(-10) + 2\/5. Solve w*f = 4*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 242.7 and -5.0422929.\nAnswer: 237.6577071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826400 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/(-14*(-84)\/(-896))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**23\/s*s\/(s*s\/s**(-25))*s assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppjpddpdkkdiddkk. What is prob of sequence kdj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-nine fifths of a gram?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7797 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1265*x**3 + 2975*x - 4289*x + 1314*x.\nAnswer: -1265*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -7. Let m = -61 + 75. What is the lowest common multiple of m and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01969993082 rounded to 6 decimal places?\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 9*a**2 + 6018*a - 24087. Give v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - u. Let d(t) = -38*t**2 + 20*t + 18. Let l be d(-3). What is the remainder when 256\/l + (1 - (-274)\/6) is divided by q(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 2721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, b: 3, x: 6, n: 4}. Give prob of sequence bxbx.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = 4. Let z be (-246)\/(-50) + (-330)\/(-4125). Sort z, 7, o in descending order.\nAnswer: 7, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 10:06 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gpdpdydyxedpdxgdygy?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbdvhbvddhh. Give prob of picking 1 b, 1 h, and 1 v.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f**3 - 448*f**3 + 491*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 43*f - 40. Let r be l(44). Let x(d) = -11*d + 7*d - 24 + 5*d + 0*d. Let g be x(20). Put -1, g, r in decreasing order.\nAnswer: r, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112 or 12410\/111?\nAnswer: 12410\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -821 + 136 = 5*f. Let j be (-1276)\/16 - (-1)\/(-4). Let l = j - f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10805361, -43221358, -97248019, -172885344?\nAnswer: -270133333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52692024 to the power of 1\/2, to the nearest integer?\nAnswer: 7259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4322751?\nAnswer: 3, 173, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8*k = 11*k - 32 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 1865?\nAnswer: 185c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 48*g + 19. Is d(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3810868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from lxdlc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -384 equal to -451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 52*c**2 + 22*c - 590. Give q(26).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0266+-2\nAnswer: -2.0266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.1, 0.003 in descending order.\nAnswer: 7, 0.003, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (0 + 0)) + 2. Suppose 5*b - 10 = 3*y, 3*b - 2*y = i*y - 10. Suppose -18 - 117 = -b*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-8)*(-6)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -815*o + 49724. Let t be h(61). Let n be (-131)\/(-7) - (-4)\/14. Suppose n = j + 7. Solve l = -3*x + j, t*l + 4 = 4*l + x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 6*l + 2*l - 269, 5*l + 86 = a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let n(x) = -2326*x**2. Calculate w(n(y)).\nAnswer: 5410276*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 22 = 2*q, -2*c = -4*c - 3*q for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -735.1 + 735. What is the closest to o in 2\/9, 4, 2, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(98)*-2 + sqrt(98))**2.\nAnswer: -56*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31427.74l?\nAnswer: 31427740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 4*x**2 + 2*x - 29. Let k(p) = 5*p**3 - 21*p**2 - 11*p + 142. What is 11*a(b) + 2*k(b)?\nAnswer: -b**3 + 2*b**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = -i + 22*z + 15, 0 = 3*i + 3*z - 117. Suppose 0 = v + 2*v - 1263. Calculate the remainder when v is divided by i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*((-3)\/3 + 7). Suppose -2*y = -l*y + 16. Solve 4*v = h - 11, -5*v + 0*v = -y*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-32)\/(-112))\/(1\/553) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/76 in -0.5, 0.5, -1, -10.71?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-5) + (3 - (-2858)\/(-5)). Let i = -678 - q. Which is the second biggest value? (a) 1 (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + r - 2. Suppose 2*y + 4 = -0. Let z be m(y). What is the least common multiple of 7 and (z\/(-10))\/(6\/(-150))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-6))\/((-8)\/(-84)). Let i = c - -28. Suppose -6*t + i*t = -90. Calculate the remainder when 58 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h**2 - 14. Let b(k) = 9*k**2 - 9. Let d be (6 - 6)\/((-8)\/(-2)) + 8. Give d*b(s) - 5*v(s).\nAnswer: 7*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -712.5 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 124983.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 8. Suppose 0 = 5*a + j + 43, -8*j + 6*j = 2*a + 14. Let b = z - a. Let p(c) = -2*c. What is p(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.81 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48059004 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47 and 0.3.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -12 + -7 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 978864 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 352096 (base 14) to base 4\nAnswer: 12322023210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005247 rounded to four decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -660 (base 15) to base 7\nAnswer: -4125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 548 + 234 + 69 + 3*r + (-r + 2*r + 0*r)*(3 - 4 + 0) + 2*r + 0 + 0 to m + g*r and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + (-89)\/20 - (-15)\/75. What is the closest to s in -2\/3, 1\/2, 9, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192254434*h*u - 3*u - 18375519 with respect to h.\nAnswer: 192254434*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -3757, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2571295, 5142560, 7713833, 10285120, 12856427, 15427760?\nAnswer: 17999125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2)\/x*x*x))\/x)**8 assuming x is positive.\nAnswer: x**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(76) + 0 + sqrt(76)) - (5 + 2*sqrt(76)))**2 - ((sqrt(76) + 0 + 5)**2 + 2)) + -2.\nAnswer: -220*sqrt(19) + 7520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 29 = 38 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 8*n - 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*z - 2437 - 3*z + 2435 + 43*z + 107*z.\nAnswer: 247*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 1:10 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, j: 3, c: 3, z: 1}. What is prob of sequence zf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 2. Suppose -20*o - 6581 - 5359 = 0. Let d = -584 - o. What is the remainder when k is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*k = 5002 - 2034 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/264*2*-3*6\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 70. What is the smallest common multiple of 6 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 + 6*v + 9. Suppose 4*n - 5 = 3*u + 2*u, 2*u - 31 = -5*n. Suppose -2*s = -p, 14 = -u*p + p - 3*s. What is the tens digit of b(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - 5*o**2 + 3*o + 4. Is k(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 9 = 9. Let f be (-3)\/2*30\/q. Suppose f*r - 60 = -0*r. Solve w - 5*w = -r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 10:42 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 27594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:44 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*1 + 1 - -7. Let m = 0 + 0.1. Suppose 4*d + 4 = -0*d. Which is the closest to m? (a) d (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 9:23 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18910 is divided by 197?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9096*o**2*p**3 + o**2 - 34*o - 4*p**3 + p**2 + 24*p + 62 wrt o?\nAnswer: 18192*o*p**3 + 2*o - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k. Let n(q) = -21378*q. Calculate n(a(z)).\nAnswer: -21378*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l**3 - 8*l**2 - 7*l + 10. Let v be y(-10). Suppose 0 = 4*s + 2*j - 108 - v, -2*s + j = -3190. Round s to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k, -19 = -2*j - 3*k - 5. Suppose -6*u - 2 = -j*u. Calculate the least common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_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: What is the derivative of 2*z**4 - 347*z**3 + 3*z + 33685 wrt z?\nAnswer: 8*z**3 - 1041*z**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -17, -17, -5, 25, 79?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*v**2 + 77452665*v + 22129330.\nAnswer: 5*(v + 2212933)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 88*g + 5607. Let c be b(35). Solve -757 + 141 = -c*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a, 3*i + 3*a + 6954 = -254046. What is i rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-8) - (-3)\/12. Suppose 0 = -5*y + 4*y - 3*q + 14, v*q = -2*y + 36. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3079289 or -3079307?\nAnswer: -3079289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 688*x + 80743. Determine t(-117).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 6 = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7140 + (-84)\/60*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -7?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 - 9*i**2 + 1 to w*i**2 + n*i + d and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/950 and 7\/190.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*4*-4*3)\/(sqrt(384)\/sqrt(8)*3 + sqrt(48)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 14*k - 6. What is p(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 23*g. Let b(q) = q - 2. Let h(z) = z - 10. Let w(n) = -5*n + 42. Let r(k) = 9*h(k) + 2*w(k). Let u(i) = -6*b(i) + 2*r(i). Give u(s(p)).\nAnswer: -184*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w**2 - w**2 + 3*w**2)*(4*w + 3*w + 6*w)*(-3 - 1 + 5) in the form o*w + h*w**3 + t + i*w**2 and give h.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -81*w**2 - w - 83*w**2 - 84*w**2 + 30 + 247*w**2. Let m be p(-6). Solve 3*q + 2*y + 6 + 4 = 0, -3*q - 4*y - 8 = m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**4 + 3535*r**3 + 115155*r**2 + 501965*r + 390340 = 0. Calculate r.\nAnswer: -673, -29, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1074)\/(-8))\/((-30)\/(-40))?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -538201*l**4 + 6*l**2 - 1586856*l.\nAnswer: -6458412*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14191.1245 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - s - 152, 2*s + 4 = 0. Let p = x - 26. Determine g so that 76*g**4 - 6*g**2 + 73*g**4 + 14*g**3 - 153*g**p = 0.\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**4\/4 - 3*u**3 + 3. Find the third derivative of y(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 8. Let o(g) = 13*g - 9. Let d(x) = -x**2 - 10*x - 9. What is the remainder when o(y) is divided by d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 170674888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 1.9?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 + (-6 - (-12)\/4). Let f = j + 24. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 40*d**3 - 105*d**2 - 110*d - 40.\nAnswer: -5*(d + 1)**2*(d + 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, -2\/13, 2, 688, -0.1?\nAnswer: 688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7926, 15848, 23770, 31692, 39614?\nAnswer: 47536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 20, 0 = -2*s - t + 19. Let r = 11 - s. Let b(c) = -5*c + 4. Let v(d) = 4*d - 3. Let u(w) = -6*b(w) - 7*v(w). Calculate u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2320 and 1\/3752.\nAnswer: 1088080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 20760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d + 65. Determine f(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**2*y**2 - x**2*y + 8*x**2 - x*y + 1402*y**2 wrt y?\nAnswer: 2*x**2 + 2804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.137 + -0.097. Sort 1, 0, s in decreasing order.\nAnswer: 1, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(900) - sqrt(900)*1 - sqrt(900) - sqrt(9)).\nAnswer: -sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 12*w**2. Let k(g) be the second derivative of 35*g**3\/3 - 1913*g. Determine y(k(z)).\nAnswer: 58800*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 167\/(-6) + 5\/(-30). Let w be 12\/m - 34\/(-14). Suppose 5*g + n = -w*n + 40, 3*g = 3*n. What is the nearest to -0.1 in -1\/3, g, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(19) - (0 + sqrt(209)\/sqrt(11))) + -5)**2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*z - 0*m - 471, 753 = 5*z + 3*m. Suppose 4*j + 25 = z. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 0 + 118 + 3. Suppose -2*p = h - 10, 3*h + h = -p + 12. Let i be (h + -12 + -1)*-1. What is the highest common divisor of o and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3290229*k**3 + 2226*k + 703 wrt k?\nAnswer: 19741374*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + 14?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g + 1. Let m(v) = v**3 - 5*v**2 - 3. Let w be m(5). What is the units digit of c(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**5 - 2*t**5 - 3*t**5 + (t**2 + 0*t**2 + t**2)*(-5*t**2 + 5*t**2 - t**3) + 3*t**5 + 0*t**3 + 0*t**3.\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -187 and -43?\nAnswer: 8041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 559706 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven quarters of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**5\/(u**0\/u)**(-2)*(u*u**(-1\/2)*(u*(u*u**6)\/u)\/u*u)**(2\/123) assuming u is positive.\nAnswer: u**(-949\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/473064 and 95\/433642.\nAnswer: 5203704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17845443 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34794578 + -12419\nAnswer: 34782159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -11. Sort 2, 0, y in descending order.\nAnswer: y, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -5*r + 194, -7838*r + 79 = -7839*r - 4*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j - 5. Does 22 divide m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 9)\/(-12)*(56 + 0 + 7).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60367450.\nAnswer: 2, 5, 11, 13, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2555\/(-219)*4\/28)\/((105\/9)\/5).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1183381 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t + 74*t - 1978 = 2600 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2.696046 micrometers?\nAnswer: 0.0002696046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/28 (b) 3 (c) 1\/4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -9. Let t = -2.6 + 0.6. Let u = -1.8 - t. What is the second smallest value in r, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**3*q**2*v**2 + 55*o**3*v**2 + 2*o**3*v - 4*o**2*q**2*v + 95*o**2*q**2 + o*v**2 wrt o.\nAnswer: 18*q**2*v**2 + 330*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 1 (c) -0.04 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/6 (b) -4 (c) -0.075 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(-8)*a*a**(2\/39)*a**(-10\/7) assuming a is positive.\nAnswer: a**(-4471\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -x - 22. Let g = -13 - x. Suppose 2*y + 4*y = g*y. Solve -w - w = y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**4 + 70*u**3 - 1380*u**2 + 4680*u = 0 for u.\nAnswer: -26, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 595 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 - 5*j - 6. Let w be q(-3). Let a = w + 32. Solve 3*o + 7 = -a*y + 32, 2*y = 3*o - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -223895, -447810, -671727, -895652, -1119591, -1343550, -1567535?\n\"Answer: -f**3 + 5*f**2 - 223923*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -2)\/(-1)*10\/6. Let f = c - 15. List the prime factors of 218\/6 - (f\/3 + 6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 2, l: 9, m: 4, t: 1}. What is prob of picking 1 t and 3 m?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w. Let a(g) = 4*g. Let s(m) = -2*a(m) - 3*f(m). Let l(j) = -4*j. Give s(l(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880274.\nAnswer: 2, 233, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12945*l**2 - 79*l**3 - 87*l**3 + 4*l - 398*l**3 - 14109*l**2 - 5*l wrt l.\nAnswer: -3384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136356019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 756 = -13319. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-326)\/(-6) + (-2)\/(-3). Let c(i) = i**3 + 8*i**2 - 7*i - 52. Let z be c(-6). Let p = y - z. Round p to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-7)*1)\/((-114)\/(-532))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-21) + (-82)\/(-7). Let p be o\/(-9) + (-2)\/3. Let s(k) = 83*k**2 - 41*k**2 - 43*k**2. Determine s(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28461984 and 2064?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3672595805 to the power of 1\/2, to the nearest integer?\nAnswer: 60602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 11. Differentiate 14 - v**2 + n*v - 5 + 0*v with respect to v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7105 is divided by 335?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 683 and -386753.\nAnswer: -264152299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06 and -65.\nAnswer: -65.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83 - 429 - 186*c**3 - 3*c**2 + 67 wrt c.\nAnswer: -558*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 128 + -112. Let t be (-24)\/o + (-6)\/4. Let r = -2 - -1. Which is the fourth smallest value? (a) -1\/8 (b) r (c) 1\/2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7*u + 7 - 2.\nAnswer: 7*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -54*h + 804. Let c be i(15). Let x(y) = 2*y**2 + 11*y - 5. Calculate x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1678*b**2 + 2*b + 3728. Let r(v) = 10069*v**2 + 13*v + 22363. Let m(c) = -2*r(c) + 13*s(c). Differentiate m(o) wrt o.\nAnswer: 3352*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 3. Let y be a(-6). Suppose 4*m = -4*j + 432008, y*m + j - 90252 - 233750 = 0. Round m to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25511 + 28*h + 25467 + 37*h as p*h + i and give p.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kdddddbdddd. Give prob of picking 1 k and 2 d.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**3 - 7*h**3 + h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43375, -86753, -130133, -173515, -216899?\nAnswer: -260285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - y - 3 = -0*y, 3*o + 4*y + 11 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*q**5\/4 - 39*q**4\/2 - 297*q**3\/4 + 3*q**2\/2 + 69*q + 18 = 0. Calculate q.\nAnswer: -2, -1, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 greater than -8248\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 + o - 9. Let j be (-1620)\/(-50) - 2\/5. Suppose m = 5*x - 14, -20*m + j = -24*m - 4*x. Let z(t) = 2*t**2 - 2. What is m*z(q) + 2*d(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 2*n**2 + n - 2. Let o be g(1). Let c be 5\/4 + 6*o\/(-16). What is the nearest to c in 3\/2, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 4, -4.4, -0.2, -2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 644 and 3177979.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001703311 to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**7\/210 + m**6\/60 - m**5\/60 + 26*m**2. What is q in r(q) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10 and -11\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 103110333?\nAnswer: 103110322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 286*j**2 - 20*j - 8. Is d(3) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72389114 = -39*g + 26*g + 179*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4361 is divided by 957.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 8*m**2 - 7*m + 8. Let i(g) = g**2 + 7*g - 55. Calculate the smallest common multiple of t(7) and i(-12).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -27 - (-111 - -102)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 0 (b) 5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/(-21) - 2\/(-7). Let h be (-1)\/(n\/(-7))*-2. List the prime factors of 2\/h - (-54)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 820014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**12\/t))\/(t*t**(-14\/5)*t))\/(t**(1\/4)\/t)**(-20) assuming t is positive.\nAnswer: t**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 67 in ascending order.\nAnswer: -14, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79425*q = 78329*q - 110696 for q.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 62*f**2 - 939*f - 26. Let c be y(27). Put c, -4, -8 in increasing order.\nAnswer: -8, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**4 - 12*i**3 + 4*i**2.\nAnswer: 4*i**2*(i - 1)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/21, -3, 1\/1449?\nAnswer: 1\/1449","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 30 + 62 = -4*p, -p = 5*s + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13338 and 14859.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3477122*d**5 + 6038604*d**2?\nAnswer: -208627320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 + 51\/60. Let o = -10254 + 10254.08. Which is the third biggest value? (a) 2\/5 (b) h (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 20 + 22 = 0. Let k = a - 21. What is the units digit of 0\/5 + 2 + k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -75, -73, -49, 3, 89, 215?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (5 + (-368)\/80)\/(14976\/1060) and 133\/2574.\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/27*(-912)\/760?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 62*d + 130. Let f be m(-2). Calculate the highest common factor of 31 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + (5 - (-3 - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 4:17 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -2\/4813, 0.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 1\/18 (c) -7 (d) 4\/9 (e) 0.2 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.333, 2, 7, -37, -1, -5, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z + 829 - 79 = 0. What is the remainder when 175742\/210 + (-4)\/z is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 45125?\nAnswer: -45124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 85.6 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 83388 - 83388 + 4*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 698 (b) 0.4 (c) 0.5 (d) -3 (e) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -11.4. Let z = u - -0.57. Let x = 0.33 + z. Sort x, 0.2, 2\/17 in ascending order.\nAnswer: 2\/17, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 47. Suppose 44*f - 421 = -25. What is the units digit of (-5)\/r - (-210)\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 600\/216 - (-2)\/9. Let k(i) be the first derivative of 2 + 0*i + 1\/8*i**4 - 1\/8*i**6 - 1\/5*i**5 + 1\/3*i**d + 1\/8*i**2. Solve k(f) = 0 for f.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {y: 4, p: 3, m: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 424 - 410. Suppose 4*v - 6 = 3*s - 0*v, 4*s = -2*v + y. Solve 21 = 5*o - 4*z, -s*z = 4*o - z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3776 and 206854000?\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = j - 5*n, -3*j = 4*n - 5. Sort 0.5, j, 12.\nAnswer: 0.5, j, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -6. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (1 - -26 - (-110 + 125)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -15\/4. Let n(d) = 5*d - 53. Let q be n(11). Let m be 3*(q + 0) + (4 - 6). Put v, m, 1, -0.5 in descending order.\nAnswer: m, 1, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-3))\/((-50)\/(-20)*(-34)\/51)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/3804300 and -13\/34999560.\nAnswer: 174997800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 23891407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:55 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g. Solve g = -2*i - 0 - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 820452?\nAnswer: 28715820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001010100 - 1010?\nAnswer: -11001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb7 (base 13) in base 8?\nAnswer: -3731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9024 is divided by 2936.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -126829 from -0.1.\nAnswer: 126828.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 5*q**2 + 18*q + 1. Determine h(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8355379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -31\/27*m**3 + 4\/27*m**4 + 1\/90*m**5 + 22\/9*m**2 + 2*m - 19. Factor c(p).\nAnswer: 2*(p - 2)*(p - 1)*(p + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97128 = 112*u - 95224 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -20 + (-1 - -3 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 3*d - 3. Let h be m(4). Let c be (-2 + h)\/(0 + 1). Let r be 2 - (c + 4\/2). Calculate the highest common factor of r and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(65)\/sqrt(5)*-3)**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-224))\/(9\/(-12)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -379.\nAnswer: 30.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 7. Let s be d(-6). Let b be s + ((-130)\/33 - -3). Is 1 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3 - 3*o**2 - 2*o + 0 + 8 + 9. What is q(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/((-1188)\/(-120)))\/((-6)\/(-18))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148\/3 + -49. What is the closest to 1\/3 in w, 2\/7, 8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 364*b + 374. What are the prime factors of z(3)?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-30) + (-8)\/60. Let r = 2 + s. Is r at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-100)\/135)\/(8\/108).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -120. Let p(g) = -g**3 + 16*g**2 + 2*g + 28. Calculate the remainder when p(16) is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -436787, -868202, -1299619, -1731038, -2162459?\n\"Answer: -s**2 - 431412*s - 5374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (9 + -9) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a*o**4 + 50*a*o**3 + 2*a*o**2 - 16*o**4 - 13*o**3 + 282137*o**2 wrt o?\nAnswer: -96*a*o + 300*a - 384*o - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1495, 1473, 1409, 1285, 1083?\nAnswer: 785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 92*c + 11. What is j(23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322021 (base 4) to base 16.\nAnswer: -e89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 4*l**2 + 7*l - 4. Let w be t(2). Suppose -4 = w*h - 10. Suppose -2*q + 3*p + 179 = 0, h*p - 1 = -4. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-20)\/(-18))*66*(-455)\/1001.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4*(a*a\/a**11)\/a assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z - 38. Let m be b(7). Suppose 0 = -3*j + m*a + 628, 3*a + 632 = 3*j + a. Calculate the remainder when j is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5907546 at least as big as -5907546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2. Let p(o) = 1. Let l be ((-7)\/28)\/(-2*3\/(-24)). Determine l*p(s) + x(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = x - 4, 2*i + 1 = 3. Suppose -6*s + 5*s + 5 = 0. Suppose 2*t - 24 = -s*z, t - 2*t - 5*z + 22 = 0. Solve t*m = -0*m - 4*k - 20, -m - x = k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -6. Let z = -3 - t. What is the remainder when 28 + (0 - -2) + z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19811.\nAnswer: 11, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 18. Suppose -2*y - 4*w = -12, 4*w = -5*y + 23 - 17. Put -12, y, m in increasing order.\nAnswer: -12, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 8:52 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 divided by -102.\nAnswer: -33\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 4. Let t be u(-3). Suppose 2*v - t = k, v - 4 = -0. Determine n, given that 2*n**k + 2\/3*n + 0 + 2\/3*n**4 + 2*n**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3897 is divided by 1838?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**3\/2 + 3*w**2 + 21*w. Let n(q) be the first derivative of 2*q**2 - 7*q - 1. Give -4*n(t) - 5*x(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 (base 9) in base 10?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56337 and 572232?\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 4*h**2 + 6*h - 7. Suppose -4*w - 56 = -5*x, -x = 2*w + 8 + 6. Let l be w\/(-3)*1 + 2. Calculate y(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44452 + -1?\nAnswer: 44451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.46 - -0.06. Let z = 37 - 33.6. Let o = z + -3. What is the closest to 1 in l, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6293*r**3 + 0 + 0 + 67408*r**3.\nAnswer: 61115*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 1. Let u be d(10). Let a = -19 - u. Suppose a = -t + 5*t - 356. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 4*i**2 - 5*i + 1. Let k be p(-5). Let b = 7 + -5. Let d = -572\/1405 + 2\/281. What is the third biggest value in b, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/3 (b) -0.1 (c) -36 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 50. Suppose 0 = 2*x - c - 34. Suppose 2*h - 14 = -4*z, 3*h - 5 + x = 3*z. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b - 1044 = -45*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - (267865\/(-1950))\/317?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in -2, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w**2 + 10*w**2 - 13*w**2 - 3*w + 0*w. Is 32 a factor of v(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 20*c - 405. Calculate w(-30).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19)\/5 + (-18)\/15. Let w(m) = m**2 - 1. Let f(b) = 3*b**2 + 3*b - 6. Let r(d) = -f(d) + 2*w(d). Determine r(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*n = 11, q = n - 3*n - 1. Suppose -2*s + 2*a = -6, -15 = -2*s - q*s + a. Suppose -3*i**s - 7*i**4 + i**3 + 5*i**4 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-7)*3\/(-6)*(4 - (-871)\/(-221))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.031, 2\/9, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 153, 0.1 in descending order.\nAnswer: 153, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**4\/4 - 2*l**3\/3 + 3*l**2 + 2*l + 6. Let w be z(-4). Suppose 426 = -4*p + w*p. List the prime factors of p.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/3 - (50 + -103 - -63)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*s + 2*s. Let h = 25 - s. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72 - 237*l - 146 - 130 + 233*l to z + b*l and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*j + 21*j - 12*j)*(138*j**2 - j**3 + 835 - 831 - 9*j**2) in the form x*j + m*j**3 + l + b*j**2 + o*j**4 and give x.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -1 + -6 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*x + 8775. Let j = 1376 - x. Suppose -s - 1644 = -4*o + 3*s, o - j = -4*s. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(171) + sqrt(171) + sqrt(171)*-1) - sqrt(171))\/(sqrt(9) - (sqrt(225)*-2 + sqrt(9))))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 12. Suppose -y - y = -4*b - 102, -3*y - l*b = -126. 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 are the prime factors of 23874302?\nAnswer: 2, 61, 195691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(325)*1 - sqrt(325))*5 - sqrt(325))**2.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6929031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18551 - -26116. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 695\/87 at most -5926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -23631?\nAnswer: 23634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**8\/84 + 8*p**7\/315 - 5*p**6\/18 - 2*p**5\/9 + 26*p**4\/9 - 16*p**3\/3 + 36*p**2. What is u in o(u) = 0?\nAnswer: -3, -2, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k = 1032 - 127 - 140 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -204*y + 189039 - 208215 for y.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -213708349537 take away 5?\nAnswer: -213708349542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05622 + 284.2646?\nAnswer: 284.20838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - a - 251 = 0, 1055*x + 5*a - 33 = 2116*x - 1060*x for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6329 - 5952. What is the remainder when g is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(((-12)\/(-72))\/((-82)\/(-12))) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584918 divided by 4?\nAnswer: 2292459\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1018462, -1018575, -1018684, -1018789, -1018890, -1018987, -1019080?\nAnswer: -1019169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*q - 1843 + 5545, -4*q + 5*w + 2979 = 0. Is q a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15036.\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 0 + 1\/12*z**4 + 71\/6*z**3 + 17\/5*z**5 + 7*z + 0*z**2. Find the second derivative of u(k) wrt k.\nAnswer: 408*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/12 + 2*z**3 + 3*z**2\/2 - 11*z. Let l be g(-13). Suppose 0 = -4*p - l - 60. Do -19 and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -173575411 + -4?\nAnswer: -173575415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 - -50. Let h = n - -26.14. Let u = -0.04 + h. Sort -3, -0.02, u in decreasing order.\nAnswer: u, -0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002793708323 rounded to 7 dps?\nAnswer: -0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**3 + 2*q + 1. Let i be -2 - 2\/(0 - 2). What is the units digit of c(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * -4.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22556851 is divided by 6782.\nAnswer: 6701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k - 14. Let u be v(11). Let w(g) = -g**3 + 9*g**2 - 7*g - 6. Let a be w(u). Suppose -d = a*d - 39. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/(sqrt(9)*4))\/(1*sqrt(8)*2).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12091\/7 (b) -5 (c) -4\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 125 = j, -86 = -m - m + 2*j. Let n = 57 - m. Solve b = 2*u - 14, b - n - 5 = -5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -0.2 (c) 5 (d) 7 (e) -331 (f) 24 (g) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = f + z, 5*f + 14306*z - 14303*z = 90 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 594\/(-44)*(-18)\/(-27)*(-1)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3624, -3620, -3616?\n\"Answer: 4*o - 3628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1077\/2 + -4897\/9. Calculate the common denominator of 4 - (788\/(-32))\/((-9)\/4) and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c + c)*(-6 + 0 + 2) - 211*c - 477*c - 156*c.\nAnswer: -840*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 248735667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/243 and 1\/380241.\nAnswer: 3422169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 21*x**3 - 4*x**2 - 21. Let n(r) be the first derivative of r**4 - r**3\/3 - 4*r - 3964. Calculate 11*n(s) - 2*w(s).\nAnswer: 2*s**3 - 3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -287*f. Let q(c) = -48*c. Calculate -6*m(u) + 35*q(u).\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from spppsppppssppppspppp.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 24\/30)\/(36\/120).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -209*q**2 - 48 + 52 + 78*q**2 - 100*q. Let a(t) = -t + 1. Let m(k) = -4*a(k) + v(k). What is the second derivative of m(u) wrt u?\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u**3 - 8*u**3 - 12*u**3 + 35*u**3 - 4202007*u + 4202007*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134 + -134.2. Which is the third smallest value? (a) f (b) -0.05 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5445551159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849 is divided by 59?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -235, 151, 769, 1625, 2725, 4075?\n\"Answer: o**3 + 110*o**2 + 49*o - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -43, -112, -213?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r - 5*r. Put 5, r, 6, 4 in increasing order.\nAnswer: r, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -214814*d**3 - 2*d**2 - 4. Let a(i) = 3*i**3 - i**2 + 2*i - 1. Let h be a(1). Let r be q(h). Round r to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74173, -296685, -667539, -1186735, -1854273?\nAnswer: -2670153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, 7.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvjvjvjcjcjnmcvvvn. What is prob of sequence nj?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1021899376*z**3 + 685739432.\nAnswer: 3065698128*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 214655600 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 2)*(3*c - 4 - c + 3) as s*c + b and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-2)*k*k*k**(-1\/2)*k\/k**1*k*k**(-3)*((k**(4\/5)\/k)\/k**(2\/13))**19 assuming k is positive.\nAnswer: k**(-549\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Let l(j) = 12*j - 392. Give q(l(x)).\nAnswer: 12*x - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1315431.\nAnswer: 10523448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 834036?\nAnswer: 2, 3, 7, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 117366931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/3, 0.055, -5, -0.4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101566 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: Factor -2*q**3\/3 + 206*q**2\/3 - 406*q\/3 + 202\/3.\nAnswer: -2*(q - 101)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15561 and 39879.\nAnswer: 9850113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1643 = -4*i + 1671. Let m(f) = 7*f - 10. Determine m(i).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) + 284\/16. What is the units digit of ((-6)\/r)\/(2\/(-138))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0 + 1\/12*a**4 + 19\/2*a**2 + 9*a - 2\/3*a**3. What are the prime factors of q(8)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -79, -124, -169, -214, -259?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -24. Let i(v) = 72*v - 68*v - v**2 + 19 + 6. Calculate the remainder when y is divided by i(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(1\/4))**(1\/4)*(s\/s**(4\/3))\/(s**(-7)*s)*((s**(-1\/2)\/s)\/(s*s**(1\/3)*s))**(-1\/4) assuming s is positive.\nAnswer: s**(115\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-160)\/(-1200) + (-103)\/(-15). Solve -3*v + g = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30924168 to the power of 1\/2, to the nearest integer?\nAnswer: 5561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*i = 279*i + 357*i - 35590 - 7862 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p - 43. Let w = 5 + -15. Let u be t(w). Solve u*i = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3912.6 - 3913. Sort 3, -0.2, 21, o in increasing order.\nAnswer: o, -0.2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 0.05 (c) 0.2 (d) -0.3 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (319642 - 319642 - 145*m)*(3*m**2 - 3*m**2 + m**2).\nAnswer: -145*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, e: 2, n: 1, r: 3, s: 1}. What is prob of picking 1 n and 1 a?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -465, -444, -419, -390, -357?\n\"Answer: 2*d**2 + 15*d - 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l)*(2 + 4 - 4) - l + 2*l - 3*l + 2 - l - 2 - 2*l + 0 + 0 - 2*l + 1 - 1 + (1 + 2 - 1)*(2*l - 1 + 1).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -b7?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 1\/40*z**4 - 1\/1050*z**7 + 0*z + 3*z**2 - 1\/200*z**6 + 0 + 1\/60*z**5 - 2\/15*z**3. Factor b(l).\nAnswer: -(l - 1)**2*(l + 1)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xas when three letters picked without replacement from axsxs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/4 + 3*s**4\/4 - s**2.\nAnswer: s**2*(s - 1)*(s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*r + 100. Suppose -3*q + 534 = -5*y, 102 = -q + 3*y + 284. Let m = -869\/5 + q. Find the common denominator of m and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35187227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {r: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(2\/(-4) - (-1 + 0)). Suppose -o = l*k - 370, 106 = k + 4*o + 21. What is the remainder when k is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i + 47540 - 47414 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32444 (base 7) to base 8.\nAnswer: -17665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -5*y**4 + 40*y**3 - 35*y**2 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -48. Suppose -x = 3*k + 4*x - 229, g*k + 3*x = 154. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 12 = -36. Suppose -24*s**3 - 3*s + 4*s**4 + 3*s + 12*s**5 + d*s - 8*s**2 + 4 = 0. Calculate s.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44075, 88153, 132233, 176315, 220399, 264485?\n\"Answer: u**2 + 44075*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 6:11 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3624 (b) -70 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 + 6*o - o + 5*o**2 - 4*o**3 - 1. Let k(f) = f**2 + f. Let r = -1226 - -1225. Calculate r*g(h) + 5*k(h).\nAnswer: 2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smsm when four letters picked without replacement from {s: 10, m: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 9*n**4 - 5*n**3 - n**5 + 7*n**4 + (-3*n**3 + 3*n**3 + n**4)*(-n + 2*n - 3*n).\nAnswer: -3*n**5 - 2*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z - 340 = 0. Calculate the highest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 + 31 + (7 - 19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2\/7)*q*q)*q*q\/(((q**(1\/2)\/q*q)\/q*q*q)\/q)*(((q*q**(-1))\/q)\/q)**(-1\/8))**1)**(2\/19) assuming q is positive.\nAnswer: q**(29\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010011010 - 10011101110?\nAnswer: -1000110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10 = -30. Let i = -16 + l. Suppose -64 = 4*t - z, i*t = 2*z - 30 - 38. Is t at most -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972017276 to the power of 1\/2, to the nearest integer?\nAnswer: 31177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 1448*h**2 + 21*h + 15. Is k(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*h**3 + h**4 + 2*h + 2*h**2 - 5 + 4 + 1 in the form g*h + r*h**4 + y*h**3 + o + j*h**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 2*l - 2. Let k(d) = -6*d + 26. Let v be k(4). Let m(u) = -1. Let o(s) = -s**2 + 5*s + 8. Let i(t) = -3*m(t) - o(t). What is v*i(w) - 5*r(w)?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 820544 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10414.57+55\nAnswer: 10469.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/8 (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -8\/5, 4, 0, -3\/4.\nAnswer: -27, -8\/5, -3\/4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009343024 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8\/(a**5\/a))\/(a*a**(-9)*a**(-3\/5)) assuming a is positive.\nAnswer: a**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**2*m - 16*b**2 + b*m - 740*b - 5473460*m + 49 wrt m?\nAnswer: 3*b**2 + b - 5473460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1958*i**2 + 4*i + 12. List the prime factors of g(-2).\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45330368, 90660733, 135991098, 181321463, 226651828?\n\"Answer: 45330365*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7}. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 8*y**3 - 1337*y**2 + 1337*y**2.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.39994 and -3.\nAnswer: -31.19982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + 0. Let z be (0\/2)\/(-1 + -6 - -9). What is the nearest to z in -3\/7, j, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 4. Suppose -5*h + 22 = -l, -2*h - n*l + 7 + 12 = 0. Solve -c = -2 - 2, -3*p = -h*c + 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 2 - (37 - (31 + (-24 - -1) - 8))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -158*b + 1387. Determine s(9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = s - 67. Suppose 0 = -25*f + 23*f + 320. Suppose -f = -2*g + s. What are the prime factors of g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 12:50 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n\/n**(-7)))\/n*n*n**1)\/((n*n*n**0\/n)\/(n*n*n**(-4\/7))) assuming n is positive.\nAnswer: n**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104215.9 + -2238860.1. Let i = l + 2343104.000022. Let z = 28 - i. What is z rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120997 is divided by 12064.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/39)\/v*v)\/(v*((v\/(v\/(v*v\/v**(-5)))*v)\/v)\/v))**(2\/87) assuming v is positive.\nAnswer: v**(-542\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3087820 to the nearest 10000.\nAnswer: -3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(4*f**2 - f**2 - f**2) + f**2 - f**2 - f**2 + 2*f**2 - 6*f**2 + 2*f**2)*(3*f**2 - 4*f**2 - f**2).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 - 114. What is the nearest to 0.2 in n, -1, -1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k + 1. Let h be d(-2). Let n(z) = -z - 2. What are the prime factors of n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - (-1)\/((-2)\/(-166))?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 3:07 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 45*j + 106. What is w(-6)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, g: 4, w: 1}. Give prob of sequence go.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26483*o**3 - 13241*o**3 - 13240*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from ndyynnnynnyyddyyn?\nAnswer: 49\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, -40, -42, -30, 2, 60, 150, 278?\n\"Answer: a**3 - 2*a**2 - 11*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 36*k - 318. Let v be q(-19). Solve -f + 19 = -4*i - 5, -i - v = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-15 - (-13 - -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(1\/3))**(-14\/3))**(17\/5))**(-16) assuming g is positive.\nAnswer: g**(7616\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3586644 divided by 10\nAnswer: -1793322\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/15)*(x*x\/((x*(x\/(x**(1\/12)\/x)*x*x*x)\/x)\/x))\/x*x)\/(x**(2\/19)\/(x**(-3)*x)) assuming x is positive.\nAnswer: x**(-3293\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - j + j + (-3*j**2 + 2*j**2 - 3*j**2)*(-1 + 5 - 2) - 65*j**2 + 20*j**2 - 117*j**2)*(-j - 2*j + 2*j).\nAnswer: 172*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45657 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 3*s = -35. Suppose -s*f = -9*f + 46. Suppose -32 = -5*p + 33. What is the remainder when f is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3115 (base 15) in base 6?\nAnswer: -120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 - 562*x**2 + 216*x + 892. Give w(112).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 11. Let m(a) = 3*a + u - 8 - 2. Determine m(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1297*i**2 - 28 + 17647*i**2 + 8 - 2*i + 10 + 13.\nAnswer: 18944*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -31, -50, -71?\n\"Answer: -s**2 - 14*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3002011034 (base 5) to base 14\nAnswer: -ad501c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 382 and 2576590.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 plus 0.1568008?\nAnswer: 0.0468008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.38 + 2.62. Let l(z) = -z**3 - 19*z**2. Let o be l(-19). Which is the third biggest value? (a) -1\/4 (b) o (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6726884273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6075745\/(-190047) - 2\/6*3\/33\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -310?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59 + 2 + 199 - 80*q wrt q.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - x**2 - 14*x + 24.\nAnswer: (x - 3)*(x - 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -126*n**2. Let h(t) = -2*t**2. Calculate h(x(y)).\nAnswer: -31752*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 28*y**2 + 1412*y - 7840. What is x(5)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.1, 5, -4, -2.6928?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1501*f - 1482*f - 8417 = 0. List the prime factors of f.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 47641284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - -1 - (12*(-26)\/(-39) + -2779) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/7 (b) -40\/157 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3\/7 + 1472*s**2\/7 + 1460*s\/7 - 2936\/7 = 0. What is s?\nAnswer: -367, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 43*q**2 + 37*q + 210. Let r be m(42). Solve 3*v = -r*v + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -250, -261, -278, -301, -330, -365?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9653703803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 13*i = -5. What is the tens digit of 370\/(-4)*(i + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -58*z + 6. Let v(n) = -3. Let g(w) = p(w) + 2*v(w). Let s(c) = -3*c**2. Give s(g(u)).\nAnswer: -10092*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172325843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 2. Let s be 0 + 1 + 20\/5 + 0. Calculate r(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2186 + 49708 = 1242*q + 432*q for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 565477.1 weeks?\nAnswer: 342000550080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0573282 years?\nAnswer: 0.0000573282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 26 = -4*r, -3*p + 6*p = -r + 13. Let i be 96\/(-4) - p\/2. Let t be (7\/(-3))\/((-9)\/i). Is t bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248 divided by -967.\nAnswer: 248\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 68, -830, -87 in descending order.\nAnswer: 68, -1, -87, -830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s**3 + 417*s**2 - 2344*s + 882. Calculate l(-37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2964 - -3120. What is the highest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 1:29 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from aaaaayayyaaaaa.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 + 17*a**2 - 14*a + 21. Let q(u) = -u**3 + 8*u**2 - 7*u + 10. Let h(k) = -2*d(k) + 5*q(k). Is 4 a factor of h(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.254 - 22.956. Round l to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 12*q**2 + 12*q + 10. What is b(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2340*i**2 + 2392*i**2 + 2331*i**2 + 2335*i**2 - 9318*i**2.\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 94*a - 33. Let k = 188 + -184. What are the prime factors of l(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 24*n**3 + 24*n**2 - 96*n - 144.\nAnswer: 3*(n - 2)*(n + 2)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 4 = 4. Let h(i) be the second derivative of z*i**2 - 3*i + 0 + 1\/16*i**4 - 1\/8*i**3. Factor h(s).\nAnswer: 3*s*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a66382 (base 14) to base 16.\nAnswer: -55d82e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n + 66. Let h(k) = -3*k + 33. What is -10*h(m) + 4*w(m)?\nAnswer: -2*m - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 4*t - 7. Let x = -5221 - -5218. Give j(x).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -19. Suppose -b*x - 4*m = -2*x - 172, 4*x = m + 192. What is the common denominator of x and -25\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(325)*1 + 1) - ((sqrt(104)*2)\/sqrt(8) - (-3*sqrt(117) + sqrt(13))**2).\nAnswer: 13*sqrt(13) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603074?\nAnswer: 2, 3, 11, 107, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153*m**5 + 1 + m - 2 + 2 - 56 wrt m?\nAnswer: -3060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246820 is divided by 976?\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 8*b - 40. Suppose -b*z = -188 - 108. Which is bigger: 32 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 3*f**5\/20 + f**2\/2 + 3*f - 2. Let c(j) be the first derivative of t(j). Let i be c(1). Solve -y + 2 = y, i*y = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421901 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44, 0.2, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 1292.6, -2\/5, 0.94, 2\/99?\nAnswer: 1292.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 1375.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.04?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -74*p**2 + 8*p - 42. Let m(h) = -75*h**2 + 7*h - 43. Let q(b) = 5*m(b) - 6*t(b). Is q(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + 0*d + 0*d + 3 - 3 + 2*d**2 + (-d**2 - 2*d**2 + d**2)*(1 + 2 - 5) - d**2 - d**2 + d**2 - 6*d + 6*d - 3*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 115 - -167854?\nAnswer: 168070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 796419 to the power of 1\/2, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + q - 166 - 47 = 0, 0 = -2*k + 5*q + 159. Calculate the greatest common factor of 120 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 0*h**2 + 5*h**2)*(-5 + 5 + 2) + 3*h**2 - 4*h**2 + 4*h**2 + (9*h + 2*h + 0*h)*(99*h - 308*h - 278*h)*(2 - 3 + 2 + (5 - 2 - 2)*(3 - 3 + 1)).\nAnswer: -10709*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 679.9227 - 680. Round l to 3 dps.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 45*a**2 + a**3 - 2*a**2 + 26*a**2 - 4*a**3.\nAnswer: -5*a**3 + 69*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*j + 1, j + j - 5*f + 10 = 0. Let b be -4 - (-5)\/(15\/312). Suppose 7*v - 11*v = -b. Solve 0*p + j*p = v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 695771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w**4 + 503563*w**3 + 807*w - 1222 wrt w?\nAnswer: -48*w**2 + 3021378*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-8) + (-3)\/(-6). Let z(s) be the first derivative of 4 + 2 - s**5 + d*s**2 - 9. Find the second derivative of z(u) wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1702004 and -1701997 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -28b071 (base 13) in base 16?\nAnswer: -f3005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/3 + 5*l**2\/3 + l\/3 - 5\/3.\nAnswer: -(l - 5)*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3168, -3163, -3158?\nAnswer: -3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2734321?\nAnswer: 2734321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 49*v + 42*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (125 - 125 + 161*u)*(-2*u + u - u)*(4 - 8 - 20) as f*u + k*u**2 + n and give k.\nAnswer: 7728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 2*k + 0*k + (1 + 2 - 1)*(-21 - 2*k + 21) - 3*k - 3*k + 5*k)*(-3 + 3 + 4*k**3).\nAnswer: -40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 3*d**2 + 6*d + 6. Determine a(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 9*c - 69 + 12, 9*b + 2*c + 6 - 15 = -38 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -113 (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 43 = -21*m. Suppose m*n = -32 + 14. Let w(d) = 3*d + 5. Let k(p) = -3*p - 4. Give n*k(z) - 5*w(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/20)\/(2\/(-15)). Let l = 14 + z. Let y = 28 - -12. What is the greatest common factor of y and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/12 - 4*i. Let m(f) = 2*f. Suppose t - 42 = 4*t. Let x(g) = 6*g. Let z(r) = t*m(r) + 5*x(r). Give z(p(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -262625 - 147?\nAnswer: -262774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3229, 24348, 81705, 193420, 377613, 652404, 1035913?\nAnswer: 1546260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -61, -117, -173, -229?\n\"Answer: -56*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/30 - d**2\/5 - 3*d. Factor k(m).\nAnswer: 2*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4736*z - 4742*z + 467358. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 2*h - 1952, -y - 4*h + 583 = -387. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 + 4*p - 1. Let s(o) = o - 5. Let b be s(8). Let k(j) = -j**3 - 6*j**3 + 11*j - b + j**3. Calculate 11*a(g) - 4*k(g).\nAnswer: 2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeuu when four letters picked without replacement from ceeeeyyeeeeeeuucuec?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41040 by -15.\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 358 (base 10) to base 6\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1152\/(-27))\/(-64)*-4.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012635693 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) + (940\/7 - -2). What is the greatest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (0 - -5 - 10)*12\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - -211110010111111?\nAnswer: 211110010112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1228.65\nAnswer: -6143.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6451526 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 5657355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:48 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(416))\/(sqrt(24)\/sqrt(108)) + (-4*sqrt(143)*1)\/(2*sqrt(539) + sqrt(539)).\nAnswer: 752*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 - (-39 + (25 - 6 - 16))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:39 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 divided by 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -20?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 11 = -d, 2*r = -2*d - r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/((-3712)\/112)*(-35)\/49.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27330, 3240, 2 in decreasing order.\nAnswer: 27330, 3240, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 158.07157852172+0.3\nAnswer: 158.37157852172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1\/2 (c) 3 (d) -19 (e) 2.8 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3202, 6395, 9586, 12775, 15962, 19147, 22330?\nAnswer: 25511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 25 - 3 = 0. Solve -3*w - 4 = -m*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, 3\/1219, 4?\nAnswer: 3\/1219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 = -6*g. Let d(x) = 8*x**2 - 9 + 8*x - 2*x**2 - x**2. Let w(h) = 4*h**2 + 7*h - 8. Let v(k) = -5*d(k) + 6*w(k). Give v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 + -82. Which is the nearest to -1? (a) 1\/3 (b) g (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58505 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -14) + (9 + (-7 - (3 - 1)) - 15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 5*l + 45. Let q be (-2)\/l + 0 + 0. Suppose 7*t = 3*t. Which is greater: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = n + 9, 3*n + 4*v = -2*n + 12. Which is the closest to 0? (a) 0.1 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.005939 and 0.19?\nAnswer: 0.184061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57228 divided by 12.\nAnswer: -4769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 68*t + 8647. Let z be r(133). Factor 5\/3*d**z - 10\/3 - 5\/3*d.\nAnswer: 5*(d - 2)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - c + 3)*(-9 - 4 + 14 + 6*c)*(2 - 1 - 4).\nAnswer: 18*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gra when three letters picked without replacement from {a: 2, k: 1, d: 2, h: 3, g: 9, r: 3}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -449 (b) 1 (c) -2\/5 (d) 0 (e) -13.5 (f) -1\/4 (g) -1\/12\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 16*a**3 + 22*a**3 - 36*a**3 + a**2 + 2*a in the form w + k*a**2 + f*a + p*a**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:42 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2415 and 416001?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**3 + 11*q**2 + 24*q + 1. Let m be p(-3). Let y(b) = 15*b. Let d be y(-6). Let a = m - d. Calculate the greatest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 15) in base 13?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4*s + 2*r = 2, -2*s = -r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5574043?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*g - 2 + 1, -3 = 2*g - j. Let c be 5 + g + 4 - (0 + 2). Solve c*r - 6*r + 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12309 + -6000. List the prime factors of y.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5566 = -2*x, -2758 = 8*k - 10*k - 4*x. What are the prime factors of k?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*s = 378*s - 106353. Does 39 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -1023*w + 3117, -60 = 5*w + 434*z - 439*z - 315 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 smaller than -197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*y - 2 - 151*y + 8*y**2 + 468*y + y**3 + 1 - 158*y as j + m*y**2 + k*y**3 + q*y and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-153)\/(-63) - 4\/(-7). Solve 3*a - 4*z = 19, -3*a - r*z + 2 + 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 29*b**2 + 15*b + 5. Let v(m) = -15*m**2 - 8*m - 3. Let q(h) = 6*p(h) + 11*v(h). Is q(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + (sqrt(2) + (sqrt(20)*-3)\/sqrt(10))**2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 2696 - 2934 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75816 divided by -18954.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 - -5)\/(1 + 0). Let w = l - 11. Suppose w*g - 69 = -g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsbbsbssbbbbbbsbbs. What is prob of picking 2 s and 2 b?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 4*h**2 + h - 3. Let z be g(4). Suppose 0 = 62*q - 12*q + 100. What is the common denominator of z\/q*(-2242)\/(-133) and -47\/43?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 less than 417413?\nAnswer: 417351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/((-9)\/(90\/25))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 smaller than 4329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -15.34. Let z = 0.13 - j. Let y = z + 5.21. Sort y, 4, 8 in decreasing order.\nAnswer: 8, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 - 193. What is the third smallest value in 4\/3, v, -1\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 16, h: 4}. What is prob of sequence hh?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44608849, -44608871, -44608915, -44608987, -44609093, -44609239?\nAnswer: -44609431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(5\/8)*a**(-5\/4)*a assuming a is positive.\nAnswer: a**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(18\/(-30)*-5). Suppose z = -w + 294 - 7. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from iuikuikii.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(275)) + sqrt(275))**2 + 2 + sqrt(275) + 4.\nAnswer: -15*sqrt(11) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 less than -2?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 9*l**2 - 5*l**2 - 2*l.\nAnswer: -21*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 36 = n, 2*y + n - 5*n + 14 = 0. Sort 5, 55, y, 0.\nAnswer: y, 0, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/18 and -17\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41531, 83062, 124595, 166130, 207667, 249206?\n\"Answer: n**2 + 41528*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 3:04 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 200388*a**2*w + a**2 + 174*a*w - 81*a - 25*w wrt a.\nAnswer: 400776*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 0 - 6*y**2 + 0*y**3 + 0*y + 5\/12*y**4. Let i(r) = -r**2 + 3*r**2 + 0*r**2. Give i(n(w)).\nAnswer: 200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) -1\/3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 72 + 4. Let g = 35 - 60. Let c = z - g. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 409 + 227 = 0. What are the prime factors of l?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3\/13 - 19048*p**2\/13 - 76168*p\/13 - 76160\/13 = 0.\nAnswer: -9520, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, i: 6}. Give prob of picking 1 i and 3 x.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9 - 5*c**2 - 6*c**2 + 2*c**2 - 9. Let z(h) = -17*h. What is z(i(g))?\nAnswer: 153*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 equal to -108674215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -12. Solve -2*b - m - m = z, 5*m + 12 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*w - 9*w**2 - 11*w + (4*w**2 - 5*w**2 + 2*w**2)*(0 + 0 - 2) - 5*w**2 - 2*w**2 + 5*w**2 + 0*w**2 - w**2 - 5*w**2.\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 70 + 69 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(2 - 2 + q) - 3*q - 2*q + 3*q + 0*q - q + 0*q - 3*q - 13 + 13.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.54123947791 + -4.\nAnswer: -3.45876052209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -37*n - 543 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19548 is divided by 9700.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426, 417, 408?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7762724*h**6 + 4183*h**2 + 87*h - 2 wrt h?\nAnswer: 931526880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.5? (a) 3\/8 (b) 1\/2 (c) -5.9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1249 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y**2 + 3*y**2 + 4*y**2)*(2*y + 1 + y + 1 + 2*y + 0*y - 4*y - 5 + 2*y + 5 - 5*y + 5*y + 2*y + (-2*y - y + 4*y)*(-1 + 2 + 1)).\nAnswer: 7*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyaap. Give prob of picking 1 p and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let x(u) = 135*u - 110. Let r(g) = 5*g - 4. Let o(m) = 165*r(m) - 6*x(m). Determine o(j(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 6. Let r = 11 + -11. Let w be q(r). Let h(t) = 4*t - 9. Let f be h(w). What is the highest common factor of f and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4482*s**3 - 4*s**2 + 8957*s**3 + 213 - 4475*s**3 - 1316*s**4 + 3*s wrt s.\nAnswer: -15792*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -427 + -1b1?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -2\/37, -4\/5, -2\/5, 1\/10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143553 (base 6) to base 8.\nAnswer: -32775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1010 (base 2) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -19*x**3 - 3*x**2 - 268*x - 45. Let t(w) = -5*w**3 - w**2 - 67*w - 12. Calculate -4*g(q) + 15*t(q).\nAnswer: q**3 - 3*q**2 + 67*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y - 186. Let m(p) = -20*p - 365. Calculate -9*a(j) + 4*m(j).\nAnswer: j + 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 - 4*l**2 + 4*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.88 - 0.8. Let h = 0.18 - q. Let a = -79 - -475\/6. What is the closest to 0.1 in h, -0.5, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**3 - 397475*h**2 + 194426.\nAnswer: -3*h**2 - 794950*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12804 (base 9) to base 7.\nAnswer: 34165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - -55. Suppose -y + 3*s + d = -48, -2*y + 454 = -4*s. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64088275*g**4 - 34716*g - 225 wrt g?\nAnswer: 769059300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631.854*7.\nAnswer: 4422.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 20*m**2 + 97*m + 18. Let q be i(9). Which is the nearest to q? (a) -2.9 (b) -6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724094 is divided by 896.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/3 - 22*f**4 - 1664*f**3\/3 - 19456*f**2\/3 - 32768*f - 131072\/3 = 0. Calculate f.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -c + 25, -322*c - m = -319*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4bc8b (base 14) to base 10\nAnswer: 186323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 142*r + 453. Let m(b) = 4*b - b - 10 + 0*b. Calculate the remainder when g(-3) is divided by m(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-13)\/(-3)*12789\/56. Let z = h + -997. Calculate the common denominator of z and -49\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -8. Suppose -5 = f, f + 32 = 3*c - o*f. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-25256440)*(-794424340)\/(-75). Let c = y - 2\/57401. Let w = c - -58\/11. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f - v - 144, -5*f = -v + 346. Let q = f + 80. Is 52 a factor of 5228\/20 - 4\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmm. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-421\nAnswer: -1684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461661 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 17*x - 1\/3*x**3 + 0*x**2 + 2. Determine c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*t - 24. Solve -t = -7*x + 11*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1619175 by 25.\nAnswer: -64767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-2\/161))\/(p**42\/p) assuming p is positive.\nAnswer: p**(-6277\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 0.3 (c) 80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 5*x + 10 = -3*y, 5*x = 3*y - 10. Let d = -11 - -10. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, u: 3, n: 4}. What is prob of picking 2 n and 1 a?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -74. Suppose 0 = 47*f - u*f + 2. Let y be (-1)\/f*0\/6. Solve y*h - 2 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Suppose 0 = -5*c + 2*c - 6. Let n(v) be the third derivative of v**4\/6 - v**3\/2 + 3*v**2. Give c*n(d) - 7*j(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 16. Let z(y) = -y - 4. What is z(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 14 = 2*n + 26, -43*n - 14 = -p - 41*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*q - 3214 = -5931 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57449 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/20 + j**4\/3 - j**3\/2 + 3*j**2 - 4735*j. Calculate m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:25 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 48643\/(1\/(-1)). Suppose 19*h = -19522 + s. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**3 - j**2 + 191*j + 1075. Calculate c(-6).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - (-56)\/(-12). Let p = -1150 + 1171. Sort 3, u, p.\nAnswer: u, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 + 41909700*m - 219552869261250 = 0 for m.\nAnswer: 10477425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 4*s**2 - s + 1. Suppose -h + p = 2*p - 4, -4 = -4*p. Suppose -h = 4*m - 15. Is l(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + sqrt(65)\/sqrt(5) + 4 - (4*(-5 + sqrt(832) + sqrt(13)))**2).\nAnswer: -86195 + 7205*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -234424213 + 3?\nAnswer: -234424210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16870494, 16870461, 16870428, 16870395, 16870362?\nAnswer: 16870329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4812*o - 823*o - 4289*o to the form x + q*o and give q.\nAnswer: -9924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 119 - 311 = 0 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.62, -0.4, 76, 0 in descending order.\nAnswer: 76, 0.62, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 2*x**2. Let a = 57 + -56. Let v be o(a). Solve 4*j - 2*r = -0*j, 3*r = 5*j + v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 63. Is r 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? (a) -63 (b) 0.19 (c) 2\/5 (d) -1\/11 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216*h**5 - 30*h**2 - 22*h + 2*h + 30*h**2 wrt h.\nAnswer: 4320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m + 9. Let y(f) = -223*f + 2. Calculate y(k(x)).\nAnswer: -1338*x - 2005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304180266?\nAnswer: 2, 3, 13, 3899747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -77, -767, -2627, -6239, -12185, -21047, -33407, -49847?\n\"Answer: -97*z**3 - 3*z**2 - 2*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -63, -93, -123, -153?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541444.2l to millilitres.\nAnswer: 541444200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 22*q + 107. Let r be u(4). Factor 2\/7*b**r - 4\/7*b**2 + 0 + 0*b.\nAnswer: 2*b**2*(b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8694\/47 + 185. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391.1 - 458.1. What is the second biggest value in 4, -7, o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:57 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286278372 is divided by 1463.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m**3 - 80*m**2 + 290*m - 178. Give h(3).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1525213473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -247 + 10*z - z + 247. Let v(t) = -7*t**2. Determine d(v(q)).\nAnswer: -63*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 36 - 51. What is the units digit of -2 - (-269 + 4)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(27)\/(sqrt(63)\/sqrt(7))*5 + 6*(sqrt(363) + sqrt(363) + (1 + sqrt(363) - sqrt(363))*2))**2.\nAnswer: 3048*sqrt(3) + 48531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4410451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20674 - 67421 = 0. Suppose 4876 - z = f. Let n = f + 8543. What is n rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 - (-14 + 8)) + 295. Calculate the highest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1281.680803 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 155869135451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183209.5 + -183112.4951. Let p = u + -97. Round p to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 11. Let m be s(4). Suppose -m*l = -5*z - 8*l + 3656, 0 = 4*z - l - 2923. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52.9973 + -53. What is u rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -290, -668, -1200, -1886, -2726?\nAnswer: -3720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3286?\nAnswer: -3\/3286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 0)*((-1 + 3 + 0)*(2*o + 1 - 1) + (2 - 2 + 2*o)*(-5 + 1 + 3)) to the form g*o + a and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f = 30*f + 55*f + 120*f + 10810 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12132101 - -3?\nAnswer: 12132110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*b**2\/2 - 51*b\/2 + 83 = 0 for b.\nAnswer: -2, 83\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2301676585 divided by -23.\nAnswer: -100072895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**6)**(-6\/25))**17)**(-25) assuming h is positive.\nAnswer: h**(-510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from sbbabsb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y + 2*a - 3, 0 = 2*a. Is y >= 2\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12412, 14715, 17000, 19261, 21492, 23687?\nAnswer: 25840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*w + 1 + 23 = 0, -5*y - 2*w = 23. Let n be (2\/y)\/(9\/(-81)). Suppose -q = -3*q + 6. Solve -4*k = 3*b - n, -1 = b - 4*k - q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*r + 23, -6 = 5*r - 5*g - 31. Solve 3*w = w + r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 j when four letters picked without replacement from ljjgjlljjjl?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(36) + sqrt(12)\/((sqrt(3) - -4*sqrt(3)) + sqrt(3)))\/(sqrt(16)\/(sqrt(8) - -2*sqrt(128))*2).\nAnswer: 219*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -443, 440, 8, -0.5, 4 in decreasing order.\nAnswer: 440, 8, 4, -0.5, -443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 955950.\nAnswer: 2, 3, 5, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**4\/12 + 413*y**2. Let z(x) = -2*x - 7. Let b be z(-5). Let m(u) = -b + 3 + 3*u. What is m(f(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140.88 - 145. Let a = c - -4. What is a rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 4*k**2 + 4. Let y be j(-4). Suppose 3*h - y = -5*g, -3*g + 4*h + 14 = -0*h. What is the lowest common multiple of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2*u**5\/5 - 191*u**4 - u**3\/3 - 2779*u**2\/2 - 3640. What is the third derivative of p(z) wrt z?\nAnswer: -48*z - 4584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-492)\/45510 - (-620)\/(-11100)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.063, -0.1, -3, 2\/15.\nAnswer: -3, -0.1, -0.063, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t + 1494 = 1938 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94169616 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66.09 + -65. Let a = o + -1.498. Let n = 0.33 + a. Round n to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0*f + 3*f)*(46*f**2 - 38 + 38) - 3*f**3 - 3*f + 3*f.\nAnswer: 43*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 885893 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 7*s = 0. Is (107 - s - -2) + 4 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -880, -879, -876, -871, -864, -855?\n\"Answer: d**2 - 2*d - 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t - 4. Let m be n(-1). Suppose 0 = -3*k - 4*f - 0*f + 13, -58 = -m*k + 5*f. Let u(w) = -2*w**3 + 22*w**2 + 4*w + 7. Is 17 a factor of u(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of (0 - -121)\/(17234\/1722 - 10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20509 divided by 93.\nAnswer: 20509\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75\/8? (a) 4 (b) 17\/2 (c) 2684\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 332222 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*x - 145, -2*x + 5*u = x - 103. Is x a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -1, -4971, 0, -2, 5 in decreasing order.\nAnswer: 5, 0, -1, -2, -56, -4971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(9\/5) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 + -62. What is the highest common factor of 19 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*k**2 - 190*k.\nAnswer: -422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/11 - (-48)\/22. Let f = -167.7 + 167.4. Which is the closest to r? (a) -2\/11 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 5*j - 6*j + 8*x, -2*x + 5 = 3 for j.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 205806817?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - -4. Let m = 58.19 - p. Let b = 0.17 - m. What is b rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2455\/2 + 12279\/10. Is -5381 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 5*v + 3*c - 35, 7 = 3*v - c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/30*81*5. Let q = -46 + s. Solve -4*r - 4*n = q, -4*r = 2*n - 1 + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + 16932*i**4 + 2*i - 33859*i**4 + 2 - 17*i**2 + 16924*i**4 to p + h*i**2 + q*i**3 + l*i + d*i**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*g + 37, z + 45 = -z - 3*g. Let h be (-3)\/(-7) - ((-12)\/z)\/(-1). Solve -y + 4 = -5*n, 4*y + h = -2*n - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7255 or 181404\/25?\nAnswer: 181404\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2476121 + -4623121. What is d rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 13708?\nAnswer: 13700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13892752.\nAnswer: 2, 101, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 119 = 139. Solve 7*o = 3*o - 2*h + 24, -14 = -r*o + 3*h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 n when four letters picked without replacement from nbnndnbb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 25 - 27. Suppose x = k + 5. Suppose 0 = -r - r + k. Solve 5*l + 16 = -g, -1 = 5*g + r*l - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, -4, 37, -2, -3 in decreasing order.\nAnswer: 37, -2, -3, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 579668981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3254561?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-6)\/k)*k*k\/k**(1\/12)*((k*k**(-13)\/k)\/k)\/(k\/k**(-2\/37)))**(-45) assuming k is positive.\nAnswer: k**(34215\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x - 2*x)*(-1 + 9 - 1)*(-1 + 2 - 5)*((-4 + 4 + 2*x)*(-1 + 1 + 3*x) + (4 - 4 + 2)*(-x**2 + 4*x**2 - 2*x**2) - x**2 + 4*x**2 - 2*x**2).\nAnswer: 252*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 99233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 8 + -3 - 0 - 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -336.9 + 337. Let d = -82.4 - -5.4. What is the closest to z in 4, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w - 39. What is s(16)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-9)\/(27\/(-9)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 601904*l**3 - 2407680*l**2.\nAnswer: 4*l**2*(l - 150480)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 7*x - 2. Calculate u(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18130*i + 20 = -2*h + 18133*i, 4*h - 12*i = -64 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away -29.35232616?\nAnswer: 29.85232616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1025 (base 11) to base 7\nAnswer: 3650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 + 141*w**2 + 118*w - 6. Let p be q(36). Which is greater: 357 or p?\nAnswer: 357","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aiiiiaaaaiajaaaia?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 2. Let b be g(0). Find the third derivative of -3*r**b - 4*r**5 - 2*r**2 - r**2 wrt r.\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79918513 to the nearest integer?\nAnswer: 8940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c780 + -4a?\nAnswer: 1c734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p)**(-6\/5))**(-22\/9)*(p\/p**(-2\/11))\/p**(-3\/7)*p**4\/(p*p\/p**(-1\/4)*p) assuming p is positive.\nAnswer: p**(24457\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3194*q**3 - 422*q**2 + 422*q**2 - 1597*q**3 - 1593*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2. Suppose -369 = -34*z - 7*z. Let h(t) = -1417*t - 5*t**2 - z*t**2 + 1417*t. Give h(x(c)).\nAnswer: -126*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1368.5038 - 1369. Let c = -0.552 - t. Round c to three dps.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1681037 is divided by 560342.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1624 divided by 920\nAnswer: 203\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) -8 (c) -58\/3 (d) 2 (e) -591 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (120\/(-28) + 4)*-7. Suppose -p*c - 10 = 10. Let o be (-6)\/((-9)\/(45\/c)). Is -17\/5 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 659, 1046, 1435, 1826, 2219, 2614, 3011?\nAnswer: 3410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 9:50 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.13 - -6. Let b = f - 6.87. Let y = b + 7.3. Sort 2, -2\/9, y.\nAnswer: -2\/9, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r + 3641. Let y(o) = o - 3. Give w(s) - y(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129\/(-63) + (-8)\/(-14)*120\/(-240).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let x be 10\/4 + 4995\/(-2430). Determine n so that -2\/9*n**2 + x*n + u - 2\/9*n**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 1188.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.5 (b) 57\/4 (c) 2\/47 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - 3) + (19 - 12) + 3 + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 920 + -916. Solve 5*f = -a*x - 15, 0 = x + 4*f + 5 - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-3)*1 - -5. Suppose -4*r = r - k*u - 75, 3*u - 83 = -5*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 525 from 104695086621.\nAnswer: 104695086096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -256 - -182. Let y = 73 + v. Which is the nearest to y? (a) -0.5 (b) -30 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(2*c - 3*c**2 - 2*c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**2 - 63*d + 8. Calculate h(13).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 1027719424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 2382*p**3 - 3742 + 7491 - 3749.\nAnswer: 2382*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 12*f. Let b = -2968 - -2965. Let v(p) be the second derivative of -11*p**3\/6 + 2*p. Let i(u) = b*o(u) - 4*v(u). Let y(x) = -5*x. Calculate y(i(t)).\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 163 = m, 2*m = -15*r + 12*r + 375. Calculate the remainder when 1958 is divided by m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 14 + 2 + (2 + 2 - 2)*(1 + 4 - 3))*(11 - v - 12 + 0*v).\nAnswer: -26*v - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11, -7160, -19075, -35756, -57203, -83416?\n\"Answer: -2383*b**2 + 2372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -10 - (20 - 40) - (59 + -3)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -37172424 not equal to -37172427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*k + 7*k + 2*k)*(-5 + 5 + 2*k**2 + (-k**2 + 2*k**2 + k**2)*(-4 + 4 + 2) + 8*k**2 - 32*k + 32*k) to the form s + d*k**2 + n*k + t*k**3 and give t.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9852472um to centimeters.\nAnswer: 0.00009852472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 1066 + 1644. Let n be 5*27\/90*b\/(-3). Is n != 273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1209 > -1207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 629*a**6\/6 - 2*a**5\/5 - a**2\/2 - 894*a + 1236. What is the second derivative of q(r) wrt r?\nAnswer: 12580*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2293 - 13753\/6. Put l, 4, -2\/3, 0.2 in increasing order.\nAnswer: -2\/3, 0.2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 27*c + 2. Let l be u(27). Suppose -5*j - 43 + 9 = -l*o, j + 4 = 0. Solve 0 = -4*q + o + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 2, q: 4, a: 8, d: 2}. Give prob of sequence qjf.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8436 and -427.\nAnswer: 787.2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -698 + 706. Suppose 4*q - 2*g - f = 2, -4*q - 4*g - 20 = 0. Solve 0 = -3*t - q - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 120*g**2 + 1474*g - 1596.\nAnswer: 2*(g - 1)*(g + 19)*(g + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 + 1 - -1. Suppose -3*t = 4*h + 2, 5*t - 25 = -h - m*h. Let w = t + 3. What is the least common multiple of 2 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdqdddqddqqd. What is prob of sequence qqq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, q: 4, t: 1, i: 9, l: 2}. What is prob of sequence izqi?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 - 11110112001?\nAnswer: -11110120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -35086*o + 13332666. Calculate q(380).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 15. Suppose -x + 44 = 4*s, -5*x = -0*x - 20. What is n(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6640 - -621?\nAnswer: 10561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54397420 divided by -353230?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0*o = -o, -3*o = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 2*v**2 + v - 1. Let l be z(-2). List the prime factors of 9\/l + 5 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410326.\nAnswer: 2, 7, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6571665108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 8*k. Suppose 0 = -4*a + 2*u + 24, a + k = -5*u - 16. Find the third derivative of -42*v**2 - 21*v**6 + 6*v**6 - 24*v**a + 24*v**4 wrt v.\nAnswer: -1800*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l + 5*o - 18235 = 35*l, 2*l + 4*o - 7294 = 0. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-280)\/(-70))\/((-52)\/(-1)) + (-114)\/130. Sort i, 275, 4\/7 in descending order.\nAnswer: 275, 4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.41 - 3554342483.99\nAnswer: -3554342482.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 4*n**2 + 2*n - 2. Let i be d(-1). Suppose i*x - 545 = 1225. List the prime factors of x.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*i - 133805 = -646*i - 926*i + 92821 for i.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 918796.4 to the nearest 100.\nAnswer: 918800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 13872934?\nAnswer: 152602274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565784 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r**2 - 4*r - 1. Let t be o(3). Suppose -g + t = -j - 2*j, -j + 4*g = 20. Let -6*k**2 - 4\/3*k + j - 14\/3*k**3 = 0. What is k?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9317\/5324)\/(2\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 0, -9, -22, -39?\n\"Answer: -2*j**2 + j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*y - 77 = 491*y - 13*t, -y = 2*y - t + 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzj. What is prob of sequence jj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/2778917?\nAnswer: -2\/2778917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2353 is divided by 532?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 - 72*j + 205. Let g be h(3). Calculate the greatest common factor of 32 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5560301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37761.\nAnswer: 3, 41, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/(-10) + (-2)\/(-5). Let i be -2 - (-18)\/(z - 3). Let n(w) = -3*w**2 + i*w**2 - w**2. Let l(s) = -s**2. What is l(n(y))?\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -107, -277, -587, -1079?\n\"Answer: -7*z**3 - 7*z**2 - 2*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 2*p + 3*p)*(-16*p**3 + 243 - 243) + (-p + p - 2*p)*(2*p - 5*p + 5*p)*(6 - 6 + 12*p**2).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2505257 is divided by 73?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:56 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 3*p - 3*p)*(9*p + 6*p - 2*p + 0*p) as q*p + s*p**2 + i and give s.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12c - ab?\nAnswer: -1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/23 (b) -14 (c) 20.3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c. Let l(w) = 203*w. Determine l(k(b)).\nAnswer: -203*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.54 - 9.54. Let p = -9.035 - q. Let k = p + 0.466. Round k to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63291, -252721, -568445, -1010469, -1578799, -2273441, -3094401?\nAnswer: -4041685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -204*k - 75. What is the hundreds digit of d(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20358655*a*b**2 - 433036*b**2 - 2 wrt a?\nAnswer: -20358655*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-16)*6\/9. What is the third smallest value in y, 2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 8. Let z be m(-10). Suppose z*l + 96 = -436. Let u be (-6)\/(-21) + 48\/l. Which is the closest to -1\/4? (a) -1\/3 (b) 2\/15 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394550323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - d = 2, -3*z + 5*d = -5*z - 10. Suppose 0*x = -3*x + 6. Solve 2\/5*n**x + 0 + z*n = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 16. Sort u, 0.5, 3.\nAnswer: 0.5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*n + 50, 13 = 5*h + 3. Calculate the highest common divisor of n and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -6*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 2*g**2 + 2*g + 1. Let p be f(-2). Suppose -2*z + 385 = 5*z. Let k = z + -56. Is p <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjlsjsstxx. What is prob of picking 2 x and 1 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 141. Let s be 1*(4 - (-1)\/(-1)). Suppose 3*z + m = s*q, 5*q + 5 - 27 = 3*z. Are z and 3\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x, -2*x + 5*x - 72 = -3*h. Let t = -2346\/145 + 1200\/29. Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 3748.\nAnswer: 11244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8441 (base 15) in base 11?\nAnswer: -1a00a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express ((-r - 2 + 2)*(1 + 4 - 2) - 2*r + 6*r - 3*r)*(-1 - 2*r**2 + 1)*(-2 + 0 + 0) in the form s*r**3 + h*r**2 + i + a*r and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2766239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 7*s - 8. Let i be z(-8). Let w be 4 + (-288)\/30 + 6. Solve 0*l**2 - 1\/5*l**5 + 0*l + i - w*l**4 - 1\/5*l**3 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 23*k - 13. Suppose -34*q - 46*q - 754 = -22*q. What is f(q)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*c + 312, -126 = 3*c - 5*c - q. Let b = c - -75. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2013 + -3424?\nAnswer: -10442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108148 is divided by 1830.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -943*l**5\/15 - 1921*l**4\/24 + 668*l**2 + 2. What is the second derivative of g(d) wrt d?\nAnswer: -7544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 270375, 270378, 270367, 270336, 270279, 270190?\n\"Answer: -k**3 - k**2 + 13*k + 270364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104*i - 41*i + 48*i + 5*i - 2*i - 2*i + (8 - 2 + 0)*(4*i - 8*i - 3*i))*(4*i - 4*i + i**3) to the form n*i**3 + a*i**2 + p*i**4 + t*i + v and give p.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 2*u**2 - 11 - 16 - 161 - 4*u**2.\nAnswer: -2*u**2 - 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, g: 3, c: 2}. What is prob of picking 3 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from aaxaazxxxxxxffxxx?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2731935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -9. Let r(f) = 8*f - 1. Let m be r(-3). Let u = m + 25. Solve u*d - 10 = b*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, -2, 0.51, -0.02, -3\/4, -27\/5, -44?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 6:11 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1139 - -1170. Is 121\/4 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012245 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*t, -3*l + 0*l = 2*t - 82. Suppose -3*a + z + 26 = 0, 0*a = -5*a - 5*z + l. What is the remainder when 21 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1458 (base 10) to base 12.\nAnswer: a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26268\/(-2431) + 11 + (-2)\/26.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3670212 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - 3 + 3)*(1 - 3 + 4) + 4*k - 5 + 5 + k - 4 + 4)*(k**2 + 45*k + 22*k**3 - 45*k).\nAnswer: 66*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2394*h**3 + 252*h - 513. Is k(2) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 14402 = 2*v, 4*v - 101020 = -11*l - 21734. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311235 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 5, -1280, -58\/425?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzz when three letters picked without replacement from {u: 2, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -27 (b) 86 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpl when three letters picked without replacement from ffgfgflplg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5224 - 5213.554. Let o = n + 0.254. Round o to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 21. Suppose 0 = -2*n + 4*k - 10, -5*k = 2*n - 2*k - x. Let a = -1.7 - -1.8. Which is bigger: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + o = 8 + 10, 4*o = 4*f + 12. Let b be (-4)\/(-10) - 32\/130. Put b, -2\/7, f in ascending order.\nAnswer: f, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - v)*(2 - 2 - 1)*(3 - 4 + 0)*(v - 3*v + v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -1093*w**4 + 65582*w**3\/5 - 60139*w**2\/5 + 22*w\/5 = 0. Calculate w.\nAnswer: 0, 2\/5465, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -2, -62, 0.14.\nAnswer: -62, -2, 0.14, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -630075 or -629999?\nAnswer: -630075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Let j = 2 - k. Let q be 6\/4*1\/(-3). What is the closest to j in q, 1\/5, -1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200120010212110 + 0?\nAnswer: 1200120010212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 53, 65, 95, 149?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-3)*117\/(-26). What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - 201*v + 201*v - 31)*((-5 + 0 + 4)*(-v + 3*v + 0*v) - 4*v + 1 - 1) as m + w*v**3 + p*v**2 + x*v and give x.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.156602 rounded to two dps?\nAnswer: -4.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = 50. Let h = -14 + t. Let c = h + -3. Sort c, 4, 5 in ascending order.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*c**3 + 2*c**2 + 28*c + 1 wrt c.\nAnswer: -102*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/20 - g**4\/2 - 5*g**3\/6 - 5*g**2\/2 + 6*g. What is d(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + s**2 - 2*s**2)*(-9292*s**2 + 4444*s**2 + 4336*s**2).\nAnswer: 1536*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**2 - 2237418*h = 0.\nAnswer: -745806, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:17 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006835 - -4.\nAnswer: 3.993165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 0*p**3 + 2*p**3)*(0*p - 2*p + 0*p) + 40*p**3 - 40*p**3 + 22*p**4 + 2*p**4 + 2*p**4 - 3*p**4 + 2*p**4 + p**4 - 5*p**4.\nAnswer: 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*v + 83 = 0, 940*n - 939*n + 2*v - 112 = -v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 2. Let f(o) = -o + 10. Let i be f(10). Let h be b(i). Let x(j) = 157499*j**2 - 3*j - 2. Let w be x(h). Round w to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25827181993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g + 3. Let y be d(-3). Let c(u) = -2*u**2 - u + 16. Let z be c(-4). Let m = y + z. Sort -4, m, 2.\nAnswer: -4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (70 + -25 - 23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435789?\nAnswer: 3, 41, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - (-85)\/(-15))*51. Solve -23 = 8*d + r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2054 + -2544?\nAnswer: -5042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7 + 7 + -4). Which is the nearest to 1.8? (a) -0.3 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 8*p**2 - 13*p + 14. What is l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1186749 greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**8\/952 + 2*f**7\/105 - 19*f**6\/510 - 4*f**5\/85 + 41*f**4\/204 - 10*f**3\/51 + f**2 + 121*f. Solve p(a) = 0.\nAnswer: -1, 1\/3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2. Let p(l) = -7*l + 1. Let f be p(h). Suppose 5*b + 0*b + f = 0. Sort 4, b, 1.\nAnswer: b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Suppose 2 = 2*a - 2*h + 3*h, h + 16 = j*a. Let i(n) = n**3 - 7*n**2 + 6*n - 38. Let y be i(7). Sort a, 0, y in decreasing order.\nAnswer: y, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1264127777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9) - (sqrt(9) - sqrt(81)*2)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-25)*(-120)\/144?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.4 - 43.3733. Round j to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 9. Let s(d) = -3*d - 5. Does 4 divide s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 10:03 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/50 and (-7)\/(-6)*(-24)\/(-105).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) - 105\/12. Let f = g - -14. Solve 36 - 8 = -5*a + 2*b, -5*b = -f*a - 40 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -71 - -76. Which is greater: u or 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-3)\/(-30)). Suppose 0 = -g*o + 5*n + 25, -3*o + 2*o + 2*n + 3 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 3476571?\nAnswer: 3476571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59517 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20))**22 assuming j is positive.\nAnswer: j**(-440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 6 (c) -1 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + -2 + 7 + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) -12 (b) -8\/939 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 7*j + 50. What is w(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - b**3 - b**2 + b**3 + 0*b + 0*b + (-4*b + 6*b + 0*b)*(b**2 + 4*b**2 - 3*b**2) - 2 + 2 - b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1979955765.9999578 - 1979956270. Let m = i - -504. Round m to 6 dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86286 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 3597?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -223 divided by -351\nAnswer: 223\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 868823 is divided by 867778?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 3. Let f = -172 + 179. Suppose 0 = f*t - 61 + 12. What is y(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11263 is divided by 2241.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l + 4. Let m(o) = 2*o - 9. Let a(z) = -4*z + 20. Let y(w) = -6*a(w) - 13*m(w). Suppose t = 6*t + 25. What is t*y(v) - 4*k(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 2*f**2 + 5*f - 3. What is l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 8. Let n be i(-4). Suppose 0 = -2*s + 8*a - 3*a - 11, n*s + 11 = -a. Let y(h) = 2*h**2 + 3*h - 2. Give y(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/4*144\/(-126). Find the second derivative of -d*w**2 + 14*w - 5*w + 12*w**2 wrt w.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 4*m + 5888. Calculate the highest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-8)\/(-178))*-2. Let a = -44 - f. Suppose 0*t - 2*t + 36 = 0. What is the greatest common factor of a and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14916 = 48*j + 84*j. Solve -5*n + 4 = -j*k + 116*k, 3*k = -2*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o + 7. Let h(a) = 4*a - 6. Let i(u) = 2*h(u) + 3*n(u). Let x(s) = s**3 + 4*s**2 + 2*s + 1. Let t be x(-3). Calculate i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*m - 34 = 0, -v - 2*m = -5*v + 14. Solve -4*w = 3*g + v, -2 - 2 = 2*w + 2*g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-308*v - 19*v + 14 - 101*v - 19)*(-1 - 1 + 0)*(-4*v + 2*v + 0*v) in the form g*v + w*v**2 + x and give w.\nAnswer: -1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*2*-1)\/(sqrt(11)*-1*6).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a factor of 49490400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9530.007l?\nAnswer: 9530007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*0.12.\nAnswer: -0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 3*j + 6*j)*(0 - 3 - 2) + (27 + 7 - 10)*(-2*j + 1 - 1)*(3 - 4 + 4).\nAnswer: -164*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000298 rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 694\/6135 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 306.305 * -0.1796.\nAnswer: -55.012378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -b**3\/3 - b**2\/2 + b - 7. Suppose -4*i = -5*z - 28, i + i = -z. Suppose 4*c = 6*x - 2*x + 12, x + 4 = i*c. Determine v(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.1917 minus -0.001?\nAnswer: 92.1927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111 (base 2) in base 7?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 - 2 = 0. Let o be 46 + -3 + v + -1. Calculate the highest common factor of 26 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 2*t**2 - 2*t**2 + (2*t - t**2 - 2*t)*(2 - 2 - 2))*(-5*t**2 - t**2 + 4*t**2) - t**4 + 0*t**4 - 2*t**4.\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = o - 2, k + 2*o + 2 = -0*o. Solve 3*v = k - 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 2 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9900 and 50.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.59142mm in micrometers?\nAnswer: 36591.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + y - 1. Let x(m) = 5*m**2 - 3*m - 6. Determine 6*i(k) - x(k).\nAnswer: k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/18 and 32\/2151.\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = 0. Suppose x*n = 3*n - 180. Calculate the remainder when (-1485)\/n*(-16)\/6 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51544066 * 0.02\nAnswer: 1030881.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 232532*d**2 - 930130*d + 9. Determine b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72 - -76. Suppose 0 = n - m, 3*n + 6 = -3*d + 3. Suppose 0 = -2*g - 2*x + 12, 5*x = 3*x + 10. Put d, 3, g in decreasing order.\nAnswer: 3, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:55 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*o**(-7\/3)*o*o))*o**16 assuming o is positive.\nAnswer: o**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 200 + 2*k - 50)*(0 - 4 + 0).\nAnswer: -8*k + 824","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**4*z**2 - 711*d**4 - 2*d*z**2 + 4*d*z - 2*z**2 - 23*z wrt d.\nAnswer: -24*d**2*z**2 - 8532*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 741298 is divided by 369944.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.849 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/10 in 5\/2, -0.77, -4046?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.4, 86.3, 1\/8, 0.072?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**4\/12 - 1913*l**2. Let q(s) = -8*s**2 + 7. Let g(z) = -7*z**2 + 7. Let a(b) = 4*g(b) - 3*q(b). Give a(f(o)).\nAnswer: -16*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/36)\/(1\/(-12)). Solve -k = -x*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2077282.\nAnswer: 2, 53, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3704784 + -216?\nAnswer: -3705111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 7*s**4\/4 - s**3\/3 + s**2\/2 - 17. Suppose 4 = -3*k + 7*k. What is o(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1838983 plus -2.54?\nAnswer: -1838985.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001213357 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -78 - (23 + 4 + (3 - 8)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*o, -4*o + 22 = 4*d - 2*o. Let l = 14 - d. Suppose 2*a = 4*a - 14. What is the least common multiple of a and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 9*d + 6. Let t be a(-10). What are the prime factors of -54*(-1 - (t + 4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-3))\/(21\/((-1329804)\/(-120))). Let b = d + 703. What is the closest to -3 in -1, -3, -2, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*r + 16*r - 63 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 129.75846 months in millennia?\nAnswer: 0.010813205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-332)\/12 - 1\/(-3). Let l be (3 + 0)\/(0 - (-21)\/j). Solve -m = -l*m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*-2 + -4*sqrt(60)\/sqrt(5))\/((sqrt(150) - sqrt(150)*3) + sqrt(150) + sqrt(6) + sqrt(36)\/sqrt(6)*-3))**2 + 3.\nAnswer: 275\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/(-20)*312\/(-117)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, -627, -1772, -3471, -5712, -8483, -11772, -15567?\n\"Answer: 2*k**3 - 295*k**2 + 292*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 38 - 22 + i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/11)*r**(-12)*r)\/(r**3)**(-23) assuming r is positive.\nAnswer: r**(639\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48751, 97451, 146113, 194737, 243323, 291871?\n\"Answer: -19*g**2 + 48757*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -264476*u**2 + 3*u - 650 wrt u.\nAnswer: -528952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.516? (a) 0.66 (b) 10 (c) -1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixziivvvihizhvzziqxi. What is prob of picking 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 3*k + (-4*k - 2*k + 4*k)*(1 - 5 + 2) + 664 - 664 + 286*k.\nAnswer: 287*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -3, -2\/5, 8187, -3\/7, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -22 - (-20 - (-5 - 4))) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8557334203.29999813 + 8557334241. Let l = 0.198 - 37.898. Let f = z + l. Round f to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (17\/85)\/(3\/9). Let v = -3.71 - 0.29. Let b = 2 - v. Is b <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2, -1\/6971, 7 in decreasing order.\nAnswer: 7, 2, -1\/6971, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 4, n: 2}. Give prob of sequence yin.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75936.44um to meters.\nAnswer: 0.07593644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 172*c + 1744. Give o(-10).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67508*x**3 - 309 + 134996*x**3 - 67498*x**3 + (2*x + 2*x**2 - 2*x)*(-2*x - 3 + 3).\nAnswer: -14*x**3 - 309","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 + 28*b. Let u(w) = -91507*w**2 - 91510*w**2 + 183021*w**2. What is u(d(t))?\nAnswer: 36*t**4 + 672*t**3 + 3136*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 2*t. Let x be r(-2). Suppose n + 2*n - 6 = x. What is the third derivative of -2*w + 2*w - w**5 - 2*w**n + w**2 wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 5*q**4\/12 - 75*q**3\/2 - 115*q**2 + 552*q. What is y in w(y) = 0?\nAnswer: -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.0181?\nAnswer: -0.0905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*s**4 - 19*s**3 + s**2 + 14018*s - 14022*s - 25*s**4 as q*s**4 + u*s**3 + l*s + g*s**2 + z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 2:31 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84991 - -84991.00047397. What is d rounded to 5 dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 - 0. Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 11:35 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6.2. Let d = -1261 + 1263. Sort d, y, -1 in decreasing order.\nAnswer: d, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1423 and 6879.7.\nAnswer: -9789813.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(4*j**2 - 3*j**2 - 7*j**2) + 4*j + 3*j**2 - 4*j)*((3 + 1 - 5)*(-2 + 5 - 1) + 0 - 7 - 2).\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -0.4 (c) 1.4 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**8\/336 + k**7\/70 - k**6\/40 + k**5\/60 + k**2 - 1. Let o(f) be the second derivative of a(f). Factor o(c).\nAnswer: -c**2*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aieaceaah. What is prob of picking 1 c and 1 e?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -13.2. Let x = 0.3 - a. Let c(k) = k**2 + 7*k - 4. Let g be c(-7). Which is greater: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a. Let q(c) = 3*c + 2. Let o(k) = -7*k - 5. Suppose -2 = -3*v - 17. Let u(w) = v*q(w) - 2*o(w). Determine d(u(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 101235*u**2 + 708890*u.\nAnswer: -5*u*(u - 20254)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -100111001100011000011101000?\nAnswer: -100111001100011000011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 - -1848072?\nAnswer: 1848072.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -51 - -103. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 - 5*j**2)*(2*j + j - 2*j)*(-147*j**2 - j + 397 + 4*j - 396).\nAnswer: 735*j**5 - 15*j**4 - 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6437 and 246?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-20 + 12)) + (-630)\/124. Is r at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + c + 42. Let o(n) = -2*n**2 - 20. Calculate 2*l(w) + 5*o(w).\nAnswer: -6*w**2 + 2*w - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a433a + -1b?\nAnswer: 3a431e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2678, 16, 0, 1 in increasing order.\nAnswer: 0, 1, 16, 2678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (95\/(-15) - -2)*(-3)\/1. Let a be (2\/(-5) + s\/(-5))\/1. Let c = 0.1 - 0. What is the nearest to c in 2\/3, -5, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 + 39 = -11*v. Put -3, 1, v in descending order.\nAnswer: 1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -302.\nAnswer: -5\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -8*w + 3*w. Suppose -x - 80 = -w*x. Suppose 3*f + 2*b - 30 = 0, -5*b - 95 = -5*f - x. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q**2 + 53*q + 11. What is i(4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, 0.1, 0.044, -19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/((-7)\/((-14)\/4)). Let p(n) = -n**3 + 10*n**2 - 7*n - 13. Let i be p(g). Suppose 5 = -2*o - 5. Put o, -2, i in decreasing order.\nAnswer: i, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257847 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28956\/(-55626))\/((-2)\/146).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.23 in -3, -4, -1, 0.506?\nAnswer: 0.506","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-four fifths of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 29*p**2 + 58*p - 73. Let m be h(30). Suppose 0*g - 2*c + m = 3*g, 1026 = 4*g + 2*c. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + z - 4. Let f(o) = o - 5483 + 5483. Let u be f(-4). Give d(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2888*i**3 + 655*i**2 wrt i.\nAnswer: -17328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 24*b**2 + b - 18. Is 16 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 12 + 8. Is -831*((-8)\/3 + n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42000 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 342, 773, 1378, 2157, 3110, 4237?\nAnswer: 5538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-1))\/(10\/15). Suppose -5*l = -4*v + 35, -v - 3*l + 8 = -5*l. Suppose -v*c + 168 = 4*c. Solve -t*g = g - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 5*v - 2. Let s be q(6). What is the greatest common factor of 36 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 8*z**2 + 12*z + 5. What is s(-8)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 2*r**2 - 3*r**2)*(666 + 564 - 958)*(r**2 + r**2 - r**2).\nAnswer: -544*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 + 2*n - 1. Let o be t(1). Solve o = -d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3591 and 1463.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2636725)\/1225)\/61 - (10\/28)\/((-1)\/(-2))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hchvnvchhhhchch. What is prob of sequence nhh?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2448)*3*-2 + -2*(5 + sqrt(17) + ((sqrt(102)*3 + sqrt(102))\/sqrt(6))**2).\nAnswer: -146*sqrt(17) - 554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220609\/36 + -6127. Find the common denominator of (0 - -1)*(-979)\/(-88) and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (23\/69)\/(2\/(-30)). Let d be 2\/(16\/(-10) - -2). Sort -1, d, g.\nAnswer: g, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -1 + 4)\/((-6)\/132*(-117 - -115))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3343.185 + 3335. Let z = 8 + m. Round z to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.2, 52.4, -2580?\nAnswer: -2580","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(3\/(-3) + (-30)\/20))\/(-1). Sort 5, 3, q, -42 in descending order.\nAnswer: 5, 3, q, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320100 and 2967?\nAnswer: 316578900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**6\/120 - 7*j**5\/60 + 7*j**4\/24 + j**3\/3 - 13*j**2. Let o be g(-8). What is the greatest common factor of o and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.71 + -1.08. Let d = p + 0.2. Let s = 0.21 - d. Which is smaller: s or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n - 12. Suppose 3*b - 443 = c, b + n*c - 10*c - 144 = 0. List the prime factors of b.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7939529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/75 and -41\/2.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-35))\/((-2280)\/1120).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 22*l**2 + 27*l + 128. Let o be c(14). Calculate the greatest common factor of 34 and o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128989 by -12.\nAnswer: -128989\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/9 + 2*r\/3.\nAnswer: -r*(r - 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121212200122 (base 3) in base 16?\nAnswer: 511a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 3*o - 7. Suppose -14 = -2*s - 4*j, -4*j + 4 + 1 = -s. Let x be l(s). Let y be 2\/x + 840\/220. Solve -y = 2*v - v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -141, -296, -451?\n\"Answer: -155*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -2\/15, -2, -1.82, -2180 in decreasing order.\nAnswer: 71, -2\/15, -1.82, -2, -2180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9*r - 247. Let o be x(28). Solve 0 = -o*t + 8 + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5075 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23405.051 + 23287. Let y = k + 116.9. Let s = 0.031 + y. What is s rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960.3644 rounded to 1 dp?\nAnswer: 960.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 2232*j**2 - 9187*j\/2 - 569415.\nAnswer: (j - 17)*(j + 15)*(j + 4466)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/9680 and -109\/44.\nAnswer: 9680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 + 57*z**2 + 1200*z - 22800 = 0. What is z?\nAnswer: -20, 19, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1456*x - 1454*x = -w + 1, 5 = 5*w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnatn. Give prob of picking 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/15 in 0.5, -79, 2, 0.09, 4, 0.4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:58 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -49*i - 1. Let d be b(-3). Let s = d + -68. Suppose y - o = 3*y - 66, s = 2*y + 4*o. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -0.2 (c) -2\/3 (d) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -50*i**2. Let u(x) be the first derivative of 74*x**2 - 4405. Determine l(u(m)).\nAnswer: -1095200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4575)\/(-15)*((-36)\/(-10))\/2.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4407*c = -2256*c - 2249*c + 3332 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2, -5, 0, 110, 6 in decreasing order.\nAnswer: 110, 24, 6, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(432) + -1 - sqrt(432)) + 3 - (4 + sqrt(432) + 1)) + 5)**2 + 2.\nAnswer: -96*sqrt(3) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccd when three letters picked without replacement from cccccdccdccdcccc.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**3\/3 + 12*r + 9. Calculate the lowest common multiple of 2 and l(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**4\/12 - 2*a**3\/3 - 9*a**2\/2 - 9. Let i(x) be the second derivative of n(x). Give i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24703 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-9 - -7) + -4 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 4.9728, 0.2, -29, -1, 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 9*j**2 - 4*j**2 + (j**2 + 0*j**2 - 3*j**2)*(3 + 0 - 5) - 5*j**2 + 2*j**2 + 7*j**2 - 2*j**2 + 7*j**2 - 3*j**2 + (-2*j - 2 + 2)*(-j - 3*j + 3*j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14773*b*k**3 - b*k**2 + 3*b*k + 475*k**3 + 3*k**2 + 7269*k - 7 wrt k?\nAnswer: -88638*b + 2850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 239023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2364 (base 7) to base 13.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**6\/15 - o**4\/6 + 21*o**2 + o + 22. What is the first derivative of m(y) wrt y?\nAnswer: -8*y**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673093 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1\/4 (c) -626 (d) 20 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 13) to base 5\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 92. Suppose 2*o + 2*o + 2*w = 32, -3*o + 5*w = -u. Calculate the smallest common multiple of 16 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8843 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*h - 14*b*h**2*q**3 - 2*b*h**2 + 16*h**2*q**3 + h**2 - 3*h*q**2 wrt b.\nAnswer: -2*b*h - 14*h**2*q**3 - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 15 + 1 = 0. Let c be 22\/6 - 4\/6. Suppose c*l - 2 = 4*d - 15, d + p*l = 27. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30b + 1?\nAnswer: -30a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 41969, 41?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4459 = -5*v - s, 0*v - 2*v + 1790 = 2*s. Is v\/4 + 3\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742.974 less than 1315?\nAnswer: -1427.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1202477.082 to the nearest 100.\nAnswer: 1202500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 371073*u**6 - 375*u**2 + 171?\nAnswer: 44528760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffo when three letters picked without replacement from {f: 2, t: 1, o: 2, w: 1, b: 1, r: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2\/9*k**2 - 50\/9 - 52\/9*k = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -325970, -326154, -326338, -326522, -326706?\nAnswer: -326890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46436 times -3\nAnswer: -139308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 39. Let n(c) = -2*c - 2. Let b(m) = 2*m + 2. Give a*b(v) + 3*n(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7719 + 6670*w**2 + 1812 + 1738*w**2 with respect to w.\nAnswer: 16816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 15*i - 11. Calculate f(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = 0, c = 6*c + 5*i + 15. Let r(d) = -d - 3. Let s be r(c). Let o(x) = s*x - 1 - 4*x + 7*x**2 + 2. What is o(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364459985 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 46. Let k be -1 + (0 - 0) - 15\/(-9). Put -1, b, 0.3, k in descending order.\nAnswer: k, 0.3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - (-13 - -6))*(-6)\/(-4). Suppose y*b - 364 = 116. Calculate the highest common divisor of 48 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - s**4 + (-1 + 1 - s)*(0*s**3 + s**3 - 2*s**3) + (-s**2 - s**2 + 3*s**2)*(4*s**2 - 2*s**2 + 0*s**2) - 12*s**4 - 13*s**2 + 13*s**2.\nAnswer: -10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101102112210 + -211112?\nAnswer: -101110101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123752427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 0 + 0. Let j(w) be the third derivative of 0*w + 0*w**3 + w**2 + 0 - 1\/12*w**4. Calculate j(p(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/354 and -73\/24.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 + 6 = 0. Suppose -y + 5*y + 3*a - 16 = 0, 4*y + 16 = m*a. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3*h - 3*h)*(4 + 3 - 5)*(37 - 30 - 22).\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952951265.\nAnswer: 5, 7, 167, 23291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3791 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 172\/7, 1, -20, 1\/4, 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65921?\nAnswer: 65921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + y - 4*y + 20 = 0, -5*v - 16 = y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/16 and (-2)\/(19 + 1)*23.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 47 + 46 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 4*u**2 - 13\/6*u**6 - 9 + 0*u + 0*u**4 + 0*u**5 + 0*u**3. Find the second derivative of g(z) wrt z.\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 14 - -4) + (21 - (-7 + -19 + 37)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 39.1 times 1.529382\nAnswer: 59.7988362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-501)\/334)\/(2\/(-4644)).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/28 + -1 - (-256433)\/7. Let y = 11433 - o. Round y to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -39*u**3 - 2*u**2 + 1. Determine z(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1065 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*h + 3*o, 3*h + 2*o - 63 = o. Suppose 145 = 3*y - 5*l, y + l - h = 14. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7 = 2*r + 3*q, -r + 3*q = -4. Let a(f) = -2*f + 4. Is a(r) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 7 = -t, 2*t = 4*u + 3*t - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(1\/3)*p*p)\/p**(-3\/7))\/((p\/(p**(1\/8)*p))\/(p**(-4)*p)) assuming p is positive.\nAnswer: p**(317\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -8560.6 to the nearest ten.\nAnswer: -8560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*q + 10 = -5, -4*f - 5*q + 3 = 0. Suppose 0 = -m - 5*c + 52, -5*c - 82 = -f*m + 67. List the prime factors of m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 5*j + 7. Let g be d(5). Let l(x) = 6*x - 10. Let n(u) = -u**2 + u + 1. Let p(f) = -l(f) - n(f). Is 9 a factor of p(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 43771 = 166999. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 4*o + 2*o - 5*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**10\/120960 - q**8\/26880 - q**4\/24 - q**2. Let l(s) be the second derivative of o(s). Factor l(t).\nAnswer: t**3*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343563 divided by 10411?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -25, 1228, 4, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 16 + 9 = 0. Suppose -b*m - 1 = -6. Let i be (-3)\/(m\/(4 - 3)) - -25. Calculate the greatest common factor of i and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 0.17715761\nAnswer: -10.17715761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(1 - 3)\/(-2). Suppose -7*q + 3*b = -2*q - 236, -130 = -f*q - 4*b. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 3*r**2 - 3*r**2 + (-2 + 4 + 0)*((-2*r + 1 - 1)*(-9 + 9 - 4*r**2) + 3*r**3 + 3*r**3 - 2*r**3).\nAnswer: 23*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - h + 2, -w + 6*w + 5*h = -10. Find the third derivative of 6*p**6 + 6*p**w - 13*p**6 - 2*p**6 - 24*p**6 wrt p.\nAnswer: -3960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*a - 38 = -60, z = -a + 12 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-28)\/(-10))\/((-16)\/(-200)) and 595?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 7) in base 14?\nAnswer: b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1380\/46*(2309\/3 + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-8))**(26\/3)*(z*z**(-8)*z)**(-24\/11) assuming z is positive.\nAnswer: z**(1002\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/60 - l**4\/6 + 11*l**3\/6 + 5*l**2. Let x be q(-6). Let v(f) = -6*f**2. Give v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 24*a + 8409. Is 99 a factor of y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488 + 487.8. Let w be (6\/(-16))\/((-6)\/(-4)). What is the biggest value in -0.06, w, j?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*r**2 + 2 - 2)*(-4*r - r + 3*r) - 3*r**3 + 4*r**2 - 4*r**2 - 29*r**2 + 29*r**2 - 47*r**3)*(-4*r**2 + 1 + 3*r**2 - 4*r + 0).\nAnswer: 46*r**5 + 184*r**4 - 46*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -14 (c) 9\/5 (d) -257 (e) 7 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -279\/4 + 70. Let d(o) = -11*o + 68. Let i be d(6). What is the nearest to u in -2, i, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/((sqrt(40) - -2*sqrt(40))\/sqrt(5)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmcmmuuukmykmmu. What is prob of sequence ym?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4837 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-16)*-1*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7592.\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1725948037?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (1 + (5 - 4) + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + 22. Suppose c + 11 = 2*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-27 + 48 + -20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 11 = 14. Suppose -4*s = -o*s + 9. What is the least common multiple of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-5)\/((-10)\/2))*89\/(6052\/(-1122))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 2. Let o(s) = -s + 4*s - 4*s - 3 + 3*s. Let w = 15 + -18. Let x(m) = w*o(m) - 5*i(m). Let z(f) = -3*f**3 - 6*f - 7. Give 6*x(l) - z(l).\nAnswer: 3*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009813 to 6 dps.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-70)*-6153*((-104)\/(-102) - 1). Is 35 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3911 = -7*b + 548. Let u = 904 - b. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5 + 164*l**4\/7 - 90*l**3\/7 - 464*l**2\/7 + 472*l\/7 - 96\/7 = 0. Calculate l.\nAnswer: -12, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/280)\/((-3)\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 47. Suppose 44*v - m = 40*v. Which is smaller: -1.4 or v?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 371084268 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from ffjjjfff.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4789 - -4789. What is the nearest to -2 in g, 2\/17, -5, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4*((-6)\/(-602))\/((-426)\/(-497)))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, -2, 0.15?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -744009*m + 744001. Calculate p(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + r**4 - 2*r + 3*r**3 + 7*r**3 - 8*r**3 - 1 + 3*r**2 as f*r**4 + o*r**2 + i*r**3 + z + w*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 73*f = 69*f - 10, -3*f - 2 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 38955*x**3 + 38956*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 3. Let o(v) = -4*v - 15. Let s(n) = o(n) - 5*x(n). Let b(r) = 59*r**2 - 3*r. What is b(s(u))?\nAnswer: 59*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1526 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4144 + 4186. What is the highest common divisor of 518 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22401 - 1243024?\nAnswer: -1305425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987 is divided by 104?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 534 = 5*x + 74, -3*x + 272 = -4*f. What is the remainder when 2490 is divided by x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -0.4, -42, 2, -60?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20079706 <= 20079708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/20*24*(-7)\/(-357)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -154 divided by 87\nAnswer: -154\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3 + n + 7*n - 3*n - 3*n. Suppose -5*a + 35 = -l, 0 = 2*a + 3*a + 5*l - 65. What are the prime factors of r(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*v**5 + 3*v - 21*v**5 + 25*v wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -5*x**4\/24 - 5*x**3\/6 - 2*x**2. Let g be v(-4). Let q = g - 9. Calculate the lowest common multiple of q and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/9*(39\/6 + 133\/(-19)). Which is the third smallest value? (a) 2\/3 (b) 0.1 (c) z (d) -0.2 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 14041524?\nAnswer: 14041524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 180617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 - 291. Let r be (-68)\/p - 20\/(-11). Suppose 2*x - 3 = -c + 4*x, -3*c + 4*x + 7 = 0. Solve -3*m = r + c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(0 - (-2)\/(-4)). Let l = 5 - j. Suppose 4*s - 44 = -l*g, 4*g = 2*g + 4*s + 16. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50935650 divided by 7897.\nAnswer: -6450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1942 = -3*n + 1254, 2567 = 4*o - n. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + 0 + 6 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -0.34 (c) -2\/233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**3 + 208035*b**2 + 1456980*b - 20390860 = 0.\nAnswer: -14, 7, 41614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-5 - (1 + -6)). Suppose -2*d + 62 - 58 = x. Differentiate 7*l**d + 19 - 7*l**2 - 39*l**3 + 6 wrt l.\nAnswer: -117*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**3*z + 25*i**3 + 6941*i**2*z + 122067*i*z + 8*i - z + 2 wrt i.\nAnswer: 42*i*z + 150*i + 13882*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 3*c**2 - 2. Let g = -4 - -6. Let r be z(g). Let n be (-3)\/(-1 - r\/4). Solve -n*i - 2*d + 6 = 0, 4*i - 5 = 3*d - 0*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 6. Suppose 36 = -5*u + 4*f + 4, 4*f = -5*u - 48. Let t be u + (10\/(-7))\/((-24)\/84). What is d(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8524521 and 323.\nAnswer: 144916857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 80 = -4*n, 3*n - 4*z - 47 = 18. Suppose 3*g = 2*l - l - n, 3*l = 2*g + 24. What is the highest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16748 * 17\nAnswer: -284716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 0.2. Let y = -0.04 + 0.34. Let f = 0 + 0.1. What is the closest to f in l, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -19*(1\/(-5) - (-18)\/15). Let h = r - -27. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 361 = -2*l - 393, 6*w - 6 = -3*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -99 - 13 - 20 + 3*q**3 + 11 as y*q + b*q**2 + c*q**3 + j and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/7, -4, 0.1, -5\/4, 122 in decreasing order.\nAnswer: 122, 12\/7, 0.1, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169711 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 11*y + 10*y = -3, 5*c + 29 = -2*y. Let u = 8 + -14. Let b(v) = -7*v - 6. Let p(s) = 8*s + 7. Give c*p(x) + u*b(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 53 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 5*w = -40. Let f(b) = -50*b**3 + 6*b**2 + b - 10. Is f(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*y - 3493 = 57*y - 10168 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 10, -5*g + 16 = -5*i + 1. Suppose 5*d = 4*l - 205, 2*d = 2*l - d - 105. Let j = l + -20. Solve i*q + 3*q = j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 352 + -3870\/11. Let s be 7\/(-22) + 2\/(-8). Let g = -1979\/308 - s. Find the common denominator of j and g.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 7*d + 528 = 0. Suppose 3*v = d + 51. What is the least common multiple of v and 15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98023?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101.05 + -101. What is the fourth smallest value in 5\/2, c, 3, -2\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 - 39*n + 29. Give z(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87 and 78366.\nAnswer: 2272614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -112567676 divided by 56283838?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3901 is divided by 1948.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s - 7*s - 101*s in the form c + q*s and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -449.463 to the nearest integer.\nAnswer: -449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 2*n**3 + n**3 + (0 - 3 + 2)*(3*n**2 + 0*n**2 - n**2)*(-3*n + 4*n + n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/98*14)\/(2\/35*1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07001 minus 985.256052?\nAnswer: -985.186042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.026612 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5899 + 0.2899. Which is the third biggest value? (a) 0.4 (b) -0.5 (c) -7 (d) -3 (e) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pb when two letters picked without replacement from wpbmllfb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/120 - n**4\/8 + 50*n**3\/3 + 81*n**2. Let l(s) be the first derivative of r(s). Let i be 30\/(-4)*4\/(-6). What is l(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*w + 171*b - 174*b, b + 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(0 + sqrt(1539)*1 + sqrt(1539)*-1 + -5))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33331 (base 4) in base 14?\nAnswer: 52d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1311*y - 16*y**3 + 1311*y.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1455, 1454, 1453?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v - 11*v = -200. Solve v*c - 5*l = -40, 19 = 2*c + l + 4*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -160.\nAnswer: 9\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1238 and 30241864.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 150 - 85. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-135))\/(-5)*(-27)\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 794327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 143, 2\/25, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 + -118. Find the second derivative of -2809 + n*p**4 - 21*p + 2809 wrt p.\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + -77. Let l = -90 - z. Let x(w) = -w**2 - 5*w - 9. Let n be x(l). Let m(o) = -2*o**2 - 4*o. Give m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1108 - 1108 + 3*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -10*r - 550 + 3169. Calculate the highest common divisor of r and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 5894618.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -10, 2917.\nAnswer: -10, -8, 2917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 2. Let i be j(-1). Let z be (-4)\/(25 - i)*-9. Which is the nearest to 0.1? (a) z (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*u - 24012 = -152*u + 117*u for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -2) + 35\/(-12). Let y(c) be the third derivative of 0*c + l*c**4 + 2*c**2 + 0 - 1\/6*c**3. Find the first derivative of y(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.03 - -4.03. Which is the second smallest value? (a) 2 (b) -0.1 (c) g (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2024 - 2240*y**2 + 2024 - 16848*y**2.\nAnswer: -19088*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Suppose 5*q = 0, 2*t = 2*q + 11 - 3. Let s(z) = -z**2 + 2 - 2 - t*z**2. Give p(s(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2))**20*w*w**0*w**(-1\/5))**(-1\/58))**(7\/2) assuming w is positive.\nAnswer: w**(343\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + -9)*3*-1. Let r = -7 - y. Suppose -j = p, 0 = 5*p + 3*j + j + 5. Sort 5, r, p.\nAnswer: r, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10 - 6*g**2 + 16*g + 5*g**2 - 1. Suppose 11*t = 20*t - 90. What is the units digit of a(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 24.987 centuries?\nAnswer: 2498.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1435 - 731. Let f = c + -483. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 423590482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 17, 24, 29, -5?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 20*g - 90. What is f(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {h: 6, e: 7, f: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15856*y**3 - 23*y**2 + y - 982012 wrt y?\nAnswer: 47568*y**2 - 46*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixzz when four letters picked without replacement from zzzizizzizzzizzxiz?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - i**2 - 3*i**2)*(2 + 3*i**3 + 2 - 10*i + 12*i).\nAnswer: -6*i**5 - 4*i**3 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 8. Let u(g) = -g. Let w(f) = 6*u(f) - z(f). Suppose -4*k + 9*k = 60. Calculate the least common multiple of w(-12) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 0.081285?\nAnswer: 5.081285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -47747 and -47739 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2 + t + 16. Let g = 3 - 0. Calculate the remainder when s(0) is divided by g*(3 - (1 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 18*a + 33*a - 59)*(1 - 1 + 2*a).\nAnswer: 26*a**2 - 118*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 3. Let n(g) = g**2 + 6*g - 2. Let m be n(-6). Let f be m*5 + 2 + 2. Does 9 divide s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -3*c - 9, -5*i + 3*i + 3 = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 1. Let h(k) = 10*k**3 - 6*k**2 - 3*k + 8. Let a(p) = 27*p**3 - 16*p**2 - 8*p + 22. Let b(l) = 3*a(l) - 8*h(l). Determine b(d) + 2*r(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**5 - 1174*l**4 + 6470*l wrt l.\nAnswer: -80*l**3 - 14088*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Let n(u) = -u**2 - 17*u + 28. Let j be n(-16). Suppose -t*p + j = -p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15214)\/(-8) - 17*(-21)\/(-476) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 4*z + 5. Let m(x) = -x. Give -g(o) + 4*m(o).\nAnswer: o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((-1 + sqrt(468) + sqrt(468))*-6 - (1 + sqrt(468) + -3)) + (4 + (sqrt(468) - (2*sqrt(468) + sqrt(468))))*-1 + -5)**2.\nAnswer: -264*sqrt(13) + 56632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1917*o - 20. Let c(y) = 275089*y + 2868. Give 5*c(f) + 717*n(f).\nAnswer: 956*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9138580 and -39.\nAnswer: 356404620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682 + 2882 = -141*q - 57*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuupi. What is prob of sequence puiu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 6*z**5 - 196*z**4 + 110*z**3 + 600*z**2 - 776*z + 256 = 0.\nAnswer: -2, 2\/3, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - -2. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 116, 144, 174, 206, 240?\n\"Answer: l**2 + 25*l + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19717 - 19267. Calculate the smallest common multiple of c and 2925.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 36. Let y be v(12). Let a be (y\/(-15))\/(-2) + (-38)\/(-10). Suppose -3*g = -3*k + 15, 6*g - g = a*k - 21. Solve k*u = 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 339177 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/420 + f**5\/105 - f**4\/84 + 6*f**2. Find n such that p(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-15)\/b)**9\/((b*b**(-19))\/(b*(b\/(((b\/b**(-8\/3))\/b*b)\/b))\/b)) assuming b is positive.\nAnswer: b**(-383\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/1311 - -112726\/6555. Let f = d + -88\/5. Let m = -0.3 + -0.7. Which is the third biggest value? (a) 4 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30936 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 25755*y = -25752*y + 1, 5*o = -3*y + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*a - 10, -y = -a - 3*a + 20. Solve 142*l - 138*l + 16 = y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-36273\nAnswer: -36273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 61, 113, 185, 277, 389?\nAnswer: 521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 8. Suppose 0 = -56*p + 54*p + 42. Let i(g) = 2*g**2 + 39*g - p*g - 18*g. Calculate f(i(q)).\nAnswer: 10*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 p when two letters picked without replacement from {p: 1, m: 3, e: 1, t: 1, j: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9174959 to the nearest integer?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13900 by 4.\nAnswer: 3475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 111 = 3*x - 5*n, -348 = 4*x - 4*n. Calculate the remainder when (x\/52)\/((-2)\/32) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4980 + 756*x + 4980.\nAnswer: 756*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160237122.\nAnswer: 2, 3, 29, 79, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 1, -4*t + 5 = -3*t + 2*p. Suppose t*m = 20 - 2. Let s be m*((-44)\/24)\/(-11). Solve -s = g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/39 and -35\/258?\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 107\/214 - (1 + (-122)\/(-4)). Suppose 4*h = -5*b + h + 302, 4*b - 245 = h. Let c = p + b. What is the least common multiple of c and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*d**2 - 2*d - 1548 - 996 - 58*d**2 in the form l*d**2 + h*d + z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**4 - 2940*g**3 + 504988*g**2 - 16115268*g + 143533600 = 0.\nAnswer: 19, 200, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -57384.3 to the nearest 1000.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8) - (22\/24)\/(-1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56114396 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 13) in base 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 27. Let m be p(14). Let r = -14 + m. Let w(v) = -v + 1. Let s(n) = -3*n - 3. What is r*w(a) - s(a)?\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 145*a**8\/56 - a**4\/2 - 5*a**2 - 11*a - 6. What is the third derivative of o(y) wrt y?\nAnswer: 17400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 3274440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -360277356615*z**5 + 120538791725*z**4 - 148918080*z**3 + 46080*z**2 = 0.\nAnswer: 0, 96\/154979, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010110 + 1011?\nAnswer: 1001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 x when four letters picked without replacement from {x: 4, a: 9, h: 1}?\nAnswer: 48\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 225*x - 156 - 111. Which is bigger: 2\/11913 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16686 divided by 16686?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695099992 to the power of 1\/3, to the nearest integer?\nAnswer: 1192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 81 or -462?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -0.04.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.54631972 to three decimal places.\nAnswer: 0.546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34318558, -68637113, -102955668?\nAnswer: -137274223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 406*l**4 + 1586*l**3 + 1484*l**2 + 304*l = 0. Calculate l.\nAnswer: -76\/29, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-1 - 5) + (-56 - -50).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-602)\/1505)\/((-1)\/((-20)\/(-52))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from puupuuu.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 441584666 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*i - 25. Let s = i + 28. What is the greatest common divisor of s and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -166?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21440292 divided by 3.\nAnswer: -7146764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8253613 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 165.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 26*w**2 - 963*w - 5689. Calculate a(-6).\nAnswer: 1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 9 - 0) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*n + 10. Suppose -4*r = n*q - 5, -q = 2*r - 4*r - 15. Suppose -982*k = -4077*k. Solve 0 = -3*x - q*s + 17 + 7, k = x - s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-110)\/(-6) + (-2)\/6. Let z = 24 - r. Is z at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1975 = 15*d - 1915. Does d = 9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -3*w - 8, 0 = -4*w + 4*h - 13 + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 158 = -3*g. Suppose 4*b + g = -b. Let v(d) = -3*d - 2. Let y be v(b). Solve y = -2*q - 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9687281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2936\/3 + 993. Let z = 78895\/4032 + -55\/448. Let u = i - z. What is the common denominator of u and -73\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6150 and 62730.\nAnswer: 313650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -275, -7, 0 in ascending order.\nAnswer: -275, -7, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**4 - 1534196*i**3 + 147110602496*i**2 - 147109068304*i = 0.\nAnswer: 0, 1, 191774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**2 - 4*h + 5. Let p be y(1). Let m(w) = w**3 - 10*w**2 + 3*w - 78. What are the prime factors of m(p)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-36)*(-4)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/20 - (-62)\/10. Suppose -t*p + 8 = -4*p. What is the second derivative of -5*h + 4*h**p + 0*h + 5*h - 4*h wrt h?\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63728547931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.7 - -5.69998828. What is y rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 9:46 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/12428 or 0?\nAnswer: -1\/12428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from {g: 6, v: 3, c: 4, b: 3, a: 4}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*y - l + 26, 5*l = -4*y + 23. Suppose -9*u = -y*u - 8. Let j = -3 + 1. Sort j, 2, u in increasing order.\nAnswer: j, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 272 - 266. Suppose -r*y - 47475 = 106725. What is y rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/(-2)*8380\/(-50)*(-20)\/(-12) is divided by 138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*h - 46 = 3*h, 4*m - h = -64. Suppose 0 = -0*n - n + 10. Is -76*(-2 - m\/n) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-14)\/(-21))\/((-2)\/9))\/1. Does 47 divide ((-36)\/21)\/v - 11832\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/9 - j**3 + 20*j**2\/9 = 0. What is j?\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 161, 618, 1371, 2414, 3741?\n\"Answer: -w**3 + 154*w**2 + 2*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 7:29 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/((-1365)\/(-26)) - (-174)\/(-10). Let n(f) = 13*f - 3. Calculate the remainder when n(3) is divided by 22 + (z\/5 - (-20)\/50).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n - 241*n**2 + 10*n + 2*n**3 - 2 - 6*n + 4 + 3*n - n**4 in the form v*n + s*n**2 + z + t*n**3 + y*n**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 147?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 2 = -13*x. Suppose 0 = -2*a - 3*z - 6, 3*a + 4 - 17 = z. Sort x, a, -4 in increasing order.\nAnswer: -4, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y. Let o = 167 + -111. Let t be ((-4)\/2)\/(7\/(o\/(-16))). Put y, -3, t in ascending order.\nAnswer: -3, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 1, j: 4, f: 3}. What is prob of sequence jffj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2200*b + 3. Let g(f) = -127*f**2. What is z(g(m))?\nAnswer: -279400*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 8 = -7*n + 6*n, 5*c - 10 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 + -185. Let u = w - -46.74. What is u rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*85\/102)\/((-1950)\/(-104)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 14) in base 15?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, n: 1, g: 9, x: 1, b: 2}. Give prob of sequence nw.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**4 + 40*t**3 + 101*t**2 + 88*t + 18. Let f(o) = -4*o**4 + 120*o**3 + 304*o**2 + 264*o + 52. Let p(x) = -5*f(x) + 16*s(x). What is v in p(v) = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46.67 + -46.60634. Let q = m - 0.06369031. Round q to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5958*r**3 + 0*r - 17562*r**3 + 0*r.\nAnswer: -11604*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/103 or -1?\nAnswer: 16\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + 12*l - 3. Let g(t) = -t**2 + 6*t - 2. Let o(c) = -7*g(c) + 3*r(c). Calculate the lowest common multiple of o(7) and 2\/(-8) - 162\/(-8).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.46 times 341540\nAnswer: -157108.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3861*q - 3*q**3 - 1341*q + 1998*q + 2500*q.\nAnswer: -3*q**3 + 7018*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o + 3*o**2 - 4*o)*(1 - 3 + 1) + 2*o**2 + 3*o**2 - 4*o**2 to c + k*o + a*o**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.211 - -1.54. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5778\/19 + 304. Let n = 0 - 0. Let v = 2 - n. What is the nearest to v in 0.4, m, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(49)*-1 + sqrt(49)))\/(sqrt(77)\/(-5*sqrt(11))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -274c5743 + 2?\nAnswer: -274c5741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 25 = 7*i. Solve 2*z + 5*o = -14, -5*z + i*o + 31 = o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 948*k**3 - 6836*k**3 + 1896*k**3 + 5*k**3 + 2*k**3 - 4*k**3 + (-2 - 3 + 7)*(k**3 - 4*k**3 + 5*k**3) to the form p + s*k**2 + f*k**3 + j*k and give f.\nAnswer: -3985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 403201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 258*r. Let y(o) = -o. Give j(y(t)).\nAnswer: -258*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v - 120 = 0. What is the least common multiple of 2 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9603966 - 2326566. What is v rounded to the nearest 10000?\nAnswer: 7280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -95*b**9\/14 - 38*b**5\/5 + b**4\/12 + 416*b**2 - 1. What is the third derivative of a(y) wrt y?\nAnswer: -410400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/3 - 91442797*f**2\/3 + 2090446235074403*f\/3 + 2090446326517201\/3.\nAnswer: (f - 45721399)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202 and 8383.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -17*z**2 - 30359*z - 60716. Determine q(-2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**2\/2 + a + 7. Let j(s) = 24*s + 1. Let q(y) = -40*y - 1. Let g(n) = -3*j(n) - 2*q(n). What is -g(o) - 5*w(o)?\nAnswer: -3*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - r**2 + r. Let d(i) = -4*i**3 + 2*i**2 - 4*i + 1. Suppose -21*c + 2 = -20*c. Give c*t(h) + d(h).\nAnswer: -2*h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvvnnnnnn. Give prob of picking 1 n and 1 v.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 44. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/7))\/(w**(-2\/13)*w) assuming w is positive.\nAnswer: w**(27\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -16. Put y, -4, -3, 2 in descending order.\nAnswer: y, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -82. Which is smaller: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1869*z - 429*z + 36000 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/3 + 592*v**3\/3 - 89899*v**2\/3 + 229576*v - 340860 = 0.\nAnswer: 2, 6, 285, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1756171 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 0*a + a - 5*a + 1 - a. Let o be l(3). Let r = 16 + o. Sort 1, r, 5 in increasing order.\nAnswer: 1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417410 <= 417412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13683415 (base 9) in base 12?\nAnswer: -233351b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59483.69m in millimeters?\nAnswer: 59483690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -742?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 4*c + 2, -5*c + 5 = 0. Solve k*z + 6 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 238\/3. Let b = -6.36 - 0.64. What is the biggest value in 4, b, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/5 - 4*p**2 + 43*p\/5 - 22\/5.\nAnswer: -(p - 1)**2*(p + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(44)\/sqrt(4) + (sqrt(11) + sqrt(11) + sqrt(11)*2*-5)**2.\nAnswer: -4*sqrt(11) + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(110) + 5*(sqrt(110) + 1*sqrt(110) - sqrt(110)))\/((sqrt(10) - (-2*sqrt(10) + sqrt(10)))*4))**2.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6779 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/13)\/a)\/a**(-2\/9)*a**2\/a*a*(a\/a**(1\/4))\/a*a)\/((a*a*a\/a**(-1\/2)*a\/(a\/a**(2\/21)))\/(a**(1\/7)\/a**(-5\/3))) assuming a is positive.\nAnswer: a**(863\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((v\/v**(1\/2))\/v)\/v)\/v)\/v)\/(v**0*v))\/(v\/(v**(-1)*v))**13 assuming v is positive.\nAnswer: v**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(36)\/sqrt(3))\/sqrt(6) + sqrt(8)\/(sqrt(12)\/sqrt(3)))**2.\nAnswer: 16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15904 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8\/23 + -26\/207. Let x = 6 + -6. What is the closest to x in 5, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 293951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 72*v**2 - 69*v + 141. Let m be a(-71). What is the fourth biggest value in -8, -0.1, m, 0.09?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2075 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 + -0.4. Let a = 5193668 + -5193667.82999916. Let m = j + a. Round m to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2244*j - 20197. Calculate l(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45561.\nAnswer: 3, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d07 + -2?\nAnswer: -2d09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15869.762 to the nearest 10.\nAnswer: -15870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32\/13 + 25\/26. Let o be (-38)\/(-20) - 6\/15. What is the second smallest value in p, -1\/6, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -210?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 - 8*l**2 - 2*l - 73. Give t(-5).\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1667222828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1248 + 5\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 - 34. What is the remainder when u is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 + 2.48. Let h = -0.1 + -0.12. Let y = l + h. Round y to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 101 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 3*y**2 + 8*y - 3. Let s be t(5). Let q be (-280)\/(-42)*s\/(-8). Suppose 0 = q*a - 119*a + 2164. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -840*x + 4970. Is 14 a factor of l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105275\/6 - -17546. Let g(d) be the third derivative of a*d**3 + 17*d**2 + 0 + 0*d + 1\/20*d**5 + 0*d**4 - 1\/120*d**6. What is g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(336))\/sqrt(7) + 4.\nAnswer: -3*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(64) + sqrt(64) - sqrt(16))\/sqrt(8).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(l**3 - 3*l**3 + 4*l**3) - l + l - 2*l**3 + 3*l**2 + 3*l**3 - 3*l**2 - l**3 - 2*l**3 + 2*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*m**2*s**3 - 2023*m**2 + 94*m*s**3 + 2*m*s + s**3 + 6*s**2 wrt m.\nAnswer: -222*s**3 - 4046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (8 - 6 - (1 - 6)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.197 and 4?\nAnswer: -12.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 79*q + 56 - 26 = -75*q, -5*q = 11*i - 57 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, a: 4, d: 2, e: 1, w: 9}. Give prob of sequence wac.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w + 3. Let i(p) = 38*p - 14. Let x(f) = 14*g(f) + 3*i(f). Let m(v) = v**2 + 2*v. What is x(m(z))?\nAnswer: 2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/108 + (-6)\/(-3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4862740 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1971*k + 1854*k - 8254*k.\nAnswer: -8371*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 2821?\nAnswer: -282b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/27)\/((-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 229 = -d, -3*n + 3*d - d = -169. Let x = 6 + 9. Calculate the remainder when n is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/15938 (b) -1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -112\/5*i**2 - 28*i + 144\/5 - 1\/5*i**5 - 32\/5*i**4 + 141\/5*i**3 = 0. What is i?\nAnswer: -36, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 792*q**3 - 2 + 2 + 0 + 19*q**3.\nAnswer: 811*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*a - 5*c, 5 = -6*c + 7*c. Let s(n) = 18*n - 5. Let t(h) = h - 1. Let d(k) = -s(k) + 6*t(k). Determine d(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 + 13*u - 5. Let j be q(9). Suppose 757 + j = -4*y. Round y to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13460667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -8. Suppose -5*b + c = -10, -c + 6 + 2 = n*b. Suppose 3*w - 6 = b*u + 23, 3*w = 3*u + 27. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4022939 divided by -18?\nAnswer: 4022939\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-295)\/5)\/((-1)\/(-2)). Let d = -46 - g. Let z = d - 65. Solve 4*c + z = -9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 5*j + 12*i, -54 = 4*j - 232*i + 233*i for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/4)\/t)**6\/(t**1)**(-6))\/(t**(1\/11)\/(t\/t**(1\/4)))**38 assuming t is positive.\nAnswer: t**(259\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 470*k + 453*k + 12 - 927*k. Give t(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12000 (base 4) to base 8.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767221.\nAnswer: 7, 13, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1013*x**5 - 3*x + 45.\nAnswer: 20260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -905*f**3 - f - 4 + 7*f**2 - 4*f**2 + 2*f**2. Let d be l(-4). Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubuh when four letters picked without replacement from {u: 5, b: 1, h: 3}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:16 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = 23521 - 23281 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002388 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -12171.\nAnswer: -12176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*x + 38 = 0, x + 11 + 17 = 3*n. Calculate the highest common divisor of 63 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(51)*2 + sqrt(51))*-4)\/sqrt(3))*5.\nAnswer: -60*sqrt(17) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-554*l + 274*l + 384*l + 616*l + 624*l)*((1 - 6 + 4)*(3*l - 3*l - 2*l) - l - 3*l + 3*l + 14*l + 153 - 153).\nAnswer: 20160*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010001111 + 101?\nAnswer: 111010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -699.971784 rounded to 2 dps?\nAnswer: -699.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 33*n + 32. Calculate the remainder when 143 is divided by x(16).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249*q - 40473 = 3242 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -29b (base 12) to base 5\nAnswer: -3112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 4*c = 9*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1081, -1107, -1151, -1213, -1293, -1391, -1507?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 451?\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58\/51 or 45?\nAnswer: 58\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/4 + 145)\/2. Let b(i) = 72*i**3 - 2*i**2 + 1. Let x be b(1). Suppose -x = -k - 4*f, 2*k - r = 2*f + 118. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -9 (b) 5 (c) 92 (d) 7\/2 (e) -1\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 7*h - 17. Let j(s) = -2*s**2 + 15*s + 35. Let v(z) = -3*j(z) - 5*q(z). What is the smallest common multiple of 9 and v(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 303511*o. Let w(t) = 18*t**2. What is s(w(h))?\nAnswer: 5463198*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s + 3*s + 4*b, 0 = b + 3. Suppose y - s + 1 = 0. Find the third derivative of 9*h + 3*h**y - 9*h + 2*h**2 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 70*y + 827. Let i be w(-15). Solve 0 = -28*a - 30 + i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-13 + (4 - -15) - -4)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - j**2 - j - 1. Let t be (1 + -7)*(-2)\/(-4). Let z be 4\/3*t\/2. What is k(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -353*m**3 - 2*m**2. Let v(o) = -469*o**3 - 2*o**2. Calculate -8*v(d) + 11*y(d).\nAnswer: -131*d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10362 + 16727. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-132) + (-31766)\/840 - (-6)\/(-10)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/((-116)\/(-15)) - (-20)\/16. Suppose -5*h - 4*o + 5 = 0, -h - 3*o = -0*h + 10. Solve j*b = 4*v + h, 2*v - 2*b + 6 - 2 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1119845, 0.61?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 260210000 to the nearest one million.\nAnswer: 260000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9544219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 2821, -0.01608?\nAnswer: -0.01608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0016697mg to tonnes.\nAnswer: 0.0000000000016697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 5*x - 26 - 134, 91 = 2*x + 5*w. Let b = x - -55. Calculate the greatest common divisor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.25 * -23740.\nAnswer: 195855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*y - 88*y + 180*y + 16*y**3.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2. Let k(i) = -5*i**2. Suppose x - 2 + 0 = 0. Let h(g) = x*k(g) + 3*b(g). Let n(p) = -2*p. Calculate n(h(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ab + -97a55?\nAnswer: -97b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1789*g**3*v**2 - 2*g**3 + 5*g*v**2 + 2*g - 51*v + 12 wrt v.\nAnswer: 3578*g**3 + 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 15 (c) -0.02 (d) 9.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4) - (135894\/(-44))\/(-71)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -496828851 and -2.\nAnswer: 993657702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13348250 and -1.2?\nAnswer: -16017900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 43*v - 12. Let z be d(1). Suppose -24*w = -z*w + 5530. List the prime factors of w.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 22.1. Let l = 3 - 3.9. Let o = l + g. What is the closest to o in -1\/7, 5, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooonooooooooooooo. Give prob of picking 2 o.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680417.9 milliseconds in nanoseconds?\nAnswer: 680417900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 11.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46851 or -623?\nAnswer: -623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*z + 4*f, f + 4*f = 2*z - 11. Suppose 125 = -z*u - 70. Is u greater than -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1905 + 1912. Suppose 0 = -m - 2*l + 15, -2*m + 0*m = l - 15. What is the nearest to i in m, 0, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 6) to base 15.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 - -1096. Solve -1245*t + 2590*t + 150 - 5*t**2 - v*t = 0 for t.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -4. Let a(o) = o**3 - 2*o**2 - 26*o + 19. Let f be a(6). Sort -1, -4, k, f in ascending order.\nAnswer: -4, -1, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**10\/40320 - t**9\/10080 + t**7\/1680 - t**6\/960 + t**4\/4 + 5*t**2. Let s(i) be the second derivative of d(i). Factor s(j).\nAnswer: 3*j*(j - 1)**3*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 6:17 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3099367 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 45\/66 - (-8)\/(-44)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three halves of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 21 = 4. Suppose o = 2*a + n, 7*o - 3*o = -12. Is a less than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96803979 times -0.11?\nAnswer: 0.1064843769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(72) + sqrt(72)*1).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47925.6 and -13.\nAnswer: -623032.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + -3*(sqrt(833) + 1)*5)**2.\nAnswer: 3570*sqrt(17) + 187714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:31 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 4*j - 2 = 0, -2*b + 48*j = 47*j - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + 42*s - 77. Let m be w(-10). Suppose q - 132 - 15 = 0. What is the highest common divisor of m and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -294.4 or 1\/5122?\nAnswer: 1\/5122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 931771.\nAnswer: 5\/931771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -112263163 - 3?\nAnswer: -112263166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5260232.884 and 4.\nAnswer: 5260236.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r**(-1\/4)\/r)*r*r)**(-1\/10)\/(r**5*r**(8\/3)) assuming r is positive.\nAnswer: r**(-983\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {f: 4, e: 15}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2507 + 0?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 19717506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -300131 (base 6) in base 4?\nAnswer: -11231113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 263, -56, 1, 14 in decreasing order.\nAnswer: 263, 14, 1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = p + 4*u, -3*p - u = -1578 + 436. What is the lowest common multiple of 76 and p?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, -35, -2\/7, 5 in increasing order.\nAnswer: -35, -2\/7, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - w**3 + 1)*(5 - 5 + 7*w)*(-20 - 26 - 15) as j*w**3 + i*w**4 + y + v*w + q*w**2 and give i.\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 216517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j - 17*j = 5*j - 18304. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 5*a. Suppose a = -4*j + 33 + 31. Calculate the remainder when 63 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -744726 at most -745319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2530091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 4, -0.34, 1\/153?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 442639292 and 51650.\nAnswer: 442690942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**2 - 18*w**2 + 19*w**2 + 39*w**2 as c + g*w + s*w**2 and give s.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-22)\/(616\/(-21581))*20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + 2*s + 2*s)*(3 - 5 + 4)*(-5 + 11 - 4).\nAnswer: 8*s - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -201*p**4 - 88*p**2 - 2*p?\nAnswer: -4824*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 2\/7, -1, -0.2 in descending order.\nAnswer: 4\/9, 2\/7, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 181 + -118. Suppose -c = -4*y - 95. Sort 1, -1, y, -4 in descending order.\nAnswer: 1, -1, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4513 - 1393999349?\nAnswer: -1393999349.4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (0 + sqrt(192))**2 - (((3*(0 + sqrt(363)))**2 - sqrt(363)) + (sqrt(363) - (-1 + sqrt(363))*-5)).\nAnswer: -3068 - 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448) + sqrt(7) - (sqrt(112)*4 - sqrt(112)) - ((sqrt(525) - sqrt(21))*4)\/sqrt(3)*6.\nAnswer: -99*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -10. Let h(j) = j**2 + 3*j + 9. Suppose -p + 72 = 3*f, -6*p + 63 = 3*f - 2*p. Calculate the remainder when h(a) is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258878 is divided by 155.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -22*l**2 + 7*l - 6. Let k be a(1). Round k to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18301511 to the power of 1\/2, to the nearest integer?\nAnswer: 4278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/406 and -43\/54035716.\nAnswer: 1567035764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b - 5. Suppose 0 = -5*w + c + 22, 0 = -4*w + 7*c - 11*c + 8. Let u(m) = 3*m + 2. What is w*h(g) + 9*u(g)?\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49162*j - 49158*j + 86 = 3*y + 9, 3*j - y + 24 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1544 and 11729382.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2192202 by -16.\nAnswer: -1096101\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d - 4*n = -36*d - 24, -2*d - 6 = -n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -3 (c) 1\/2 (d) -1 (e) -1\/18 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 525\/35*(-15)\/25?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4732 = 4*d - 2*o, -13*d - 1169 = -14*d - 3*o. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347\/803 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 38\/482725?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5554315 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 973 times 5\nAnswer: 4865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + (sqrt(153) - sqrt(153)*2*4 - (sqrt(153) + sqrt(153) + -5 + 0 + sqrt(153) - sqrt(153))))**2.\nAnswer: 12388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 < 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 2\/11 (c) 0.1 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*x - 84. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - 137*b**2\/3 - 4015*b\/3 + 15987.\nAnswer: -(b - 9)*(b + 73)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -46.49*-38\nAnswer: 1766.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 32 = m. Suppose -m = -3*t + t. Suppose -3*k + w = -21, -k = 3*k - 2*w - t. What is the remainder when 12 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6) - 218\/(-4). Suppose -2*m + p = 3*m. Calculate the greatest common divisor of m and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 21.7. Let l = 4.1 - 4. Let n = p + l. Which is smaller: 5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1148266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10774, -10384, -9994?\n\"Answer: 390*b - 11164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*z**2 - 87*z**2 + 2*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012002001 - 100?\nAnswer: 1012001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1779 and 52738455?\nAnswer: 1779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2969644000 rounded to the nearest 1000000?\nAnswer: -2970000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*n + 92*n = -998*n + 66267 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-20))\/(3236\/(-679560))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (51\/(-3))\/(5 + -4). Is (16 + m)\/(-1*(-2)\/(-134)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -3*w**2\/2 - 3*w - 77. Suppose 8*p = 262 + 458. Let n be 3*(-96)\/p + (-1)\/(-5). Give u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - y - 2*y + (-5 + 0 + 3)*(2 - 2 + 2*y) + 3*y - y - 4*y + 0*y + 0*y + y)*(-90*y + 176*y - 95*y) as o*y + r*y**2 + l and give r.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 5. Which is the nearest to v? (a) -5 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -482 - -402. Let h be (3 + -2)*u\/(-10). Solve 5*t = -3*d + 7*d + 13, 5*d = -2*t - h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14006.8176 and 4?\nAnswer: 56027.2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1437785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/11 and (-31)\/(-6) - (-5 + 5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/11 - 6156*k**2\/11 - 6316056*k\/11 - 2160091152\/11.\nAnswer: -2*(k + 1026)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -6e046?\nAnswer: 6e045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v - 4178 = -5185 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6240*b - 6681*b - 5842 + 109 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 64 (b) 2\/9 (c) -2\/21 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1051636 - 373731. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36985300 is divided by 672460.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 19*c**2 - 30*c - 4. Let m be u(17). Suppose x = -m*x + 455. Let r(n) = -3*n - 3. Let z(j) = -9 + 2*j + 0*j - 12*j. Calculate x*r(v) - 2*z(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 869*j**2 + 430*j**2 + 4*j + 437*j**2 as n*j + f*j**2 + m and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxxg when four letters picked without replacement from ggxkxxvxxr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 2\/9, 22.3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7567208365917+60\nAnswer: -7567208365857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*g + 79*n - 82*n, 0 = 2*n + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = h. Let t(c) = -1 - 9 + 0 + c. Calculate t(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-10) + (-4620)\/1400.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, m: 4, o: 6, u: 3}. What is prob of sequence moa?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v = 67281 + 92319. List the prime factors of v.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.194576 + -175.\nAnswer: -169.805424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 263665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -6, -11, -18, -27, -38, -51?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6255648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -15*b**3 + 5*b**2 - 2*b - 2. Let g be d(-10). Let k = 9418 - g. Round k to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -14095039096?\nAnswer: 14095039117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106813346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2968162*l*t - 13831578*t wrt l?\nAnswer: -2968162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92\/145 - -1\/29. Let m = -0.01 - 0.29. Let w be 7\/14*(9 - 1). Which is the third smallest value? (a) w (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*z = -105, -3*z = c - 143 + 13. Suppose 9*o - c + 43 = 0. Suppose 0*a + 16 = 4*a - 3*t, 2*a + 3*t - o = 0. Solve 0*b - b - a = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 66 - 12 = 0. Let a = x - -60. Suppose 2*l - a = 21. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 0)\/(3\/2). Suppose -2*a + 20 = -2*h, 0*h + 36 = m*a + 2*h. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 305931+4\nAnswer: 305935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 690.1 * 0.1\nAnswer: 69.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1641482109.2 to the nearest one hundred thousand.\nAnswer: 1641500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -16 + 0 + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -848341.778 rounded to the nearest one hundred?\nAnswer: -848300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -84*z**2 + 3*z + 3766. Let t(c) = -2*c**2. Calculate t(a(w)).\nAnswer: -56448*w**2 + 2016*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 587241, 1174370, 1761499?\n\"Answer: 587129*m + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*b - 8. Let c = b - -10. Suppose -c*l = -f - 5, 2*l + l - 12 = -3*f. Solve -3*s = 4*z + f + 4, 2*s + z = -5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1188*m - 2*m**2 - 1188*m - 71 to o + q*m + r*m**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 69\/(-180)*-2 - 2\/12. Let s(a) be the first derivative of -81\/20*a**4 + 2 + 84\/25*a**5 + 3\/5*a**2 + 0*a - o*a**3. Let s(q) = 0. Calculate q.\nAnswer: -2\/7, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 292 = -h. Suppose 515 = 5*z - 0*z. Let i = z - h. Calculate the highest common factor of 75 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.950742 rounded to 1 decimal place?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.6 + 13. Let p = 14\/9 + -19\/18. What is the second smallest value in p, 4, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 395, 318, 239, 158?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*k**2 - 131*k**2 - k**3 + 42*k**2 - 4*k + 40*k**2 + 2 in the form b + n*k**2 + r*k + m*k**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 + x**2 + 2*x - 1. Suppose 0 = 3*a + 6. Determine w(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*p - 494689 = -36*p + 840389. List the prime factors of p.\nAnswer: 3, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:43 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -6*y + 55. Let n = 1 + y. Let l(m) = -m**2 - 7*m + 2. Let r be l(-7). Solve -4*h = -w + 5*w - n, -3*w = -4*h - r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r. Let o = r - -25. Suppose -3*t + 22 - 4 = -3*w, 5*w = -o. Put -4, -3, t in increasing order.\nAnswer: -4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**2 - 243*t + 497. Let y(s) = -11*s**2 - 241*s + 496. Let i(v) = 6*d(v) - 5*y(v). Let i(n) = 0. Calculate n.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59684*k + 12 = 59680*k, 3*w - 5*k + 156 = 0 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 205\/9 + 8\/36. Suppose 3*x - 4*x + k = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 8 + 104 = 0. Suppose n*p + 36 = 18*p. Calculate the remainder when 248 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - -163. What are the prime factors of f?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:36 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 441*l - 323*l - 324*l - 5.\nAnswer: -206*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-214604)\/(-214605) + 0 - 1. Let t = z + 503821006\/214605. Let m = t - 2328. What is the common denominator of m and -47\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytfqyf. What is prob of sequence qy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10001 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -60700, -5, -2, 5 in increasing order.\nAnswer: -60700, -46, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 18, 30, 44, 60, 78?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b. Let m(o) be the second derivative of -17*o**6\/180 - 22*o**4\/3 + 123*o. Let g(k) be the third derivative of m(k). Give g(j(z)).\nAnswer: -340*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7d8 + 449d?\nAnswer: 3aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 713 and 4681.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 27*y - 14. Let t(b) be the first derivative of -b**3\/3 + 1320. What is m(t(n))?\nAnswer: -27*n**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18265, 36533, 54805, 73081, 91361, 109645?\n\"Answer: 2*m**2 + 18262*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12670 or 12672?\nAnswer: 12670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25374696*k**2 + 50749210*k**2 - 25374990*k**2.\nAnswer: -476*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 17 = -6*b + 5*i, 35 = 5*b + 5*i. Let f be (-3 - -4 - -1)*b. Solve -2*d = -f*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 4*(sqrt(156)*-3 - sqrt(156)) + sqrt(156) - 6*sqrt(156)*-1)\/(3*3*sqrt(144)\/sqrt(12))*6 + -1)**2.\nAnswer: 32*sqrt(13)\/3 + 3337\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160915.\nAnswer: 3, 5, 144061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 8 = 4*a. What is the remainder when a is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25236, 50745, 76256, 101769, 127284?\n\"Answer: o**2 + 25506*o - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.32, -114?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146547 and 855.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, m: 2, u: 1, w: 2, c: 1, f: 5}. Give prob of picking 1 t, 1 w, and 2 m.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(10 - (4 - 0)). Let g = 67\/6 - 11. Which is the closest to g? (a) 2\/5 (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.9 * 1.8.\nAnswer: -10.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 22*x**2 + 17*x**2 + 9*x**2 - 387 + 411 as c*x + m + w*x**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3099000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 0, -4*j = -3*j - w + 4*w. Let u be 6\/27 + (-26)\/36. Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -677 (c) 19 (d) 2\/1039\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 1. Suppose -2*n - 5 - i = 0. Let q(k) = 2 + 0 + k**2 + 1 + 6*k. Determine q(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12 = -3*g, 3*t + 4*g - 9 = -g. Suppose -132 - 3 = -t*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -2, 23 in decreasing order.\nAnswer: 23, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/7, 5, -9\/5 in descending order.\nAnswer: 5, 3, 4\/7, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3067408 by 4079.\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 135200\/(-13923) - (-6)\/(-27). Let j = 72\/7 + r. Find n such that -12\/17 + 38\/17*n - j*n**2 = 0.\nAnswer: 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307, 620, 933, 1246, 1559?\nAnswer: 1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(1 + -2) + 6. Let d = -1 + r. Solve 5 = -2*i + d*x, 3*i - 3*x + 17 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i - i**2)*(11 - i - 6 - 6)*(-2 + 1 - 1).\nAnswer: -2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153709539 to the power of 1\/2, to the nearest integer?\nAnswer: 12398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56437, 112876, 169315, 225754, 282193, 338632?\nAnswer: 395071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/13 - 42242*n\/13 - 198373008\/13.\nAnswer: -2*(n + 7048)*(n + 14073)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -42*m - 47. Determine r(0).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 443599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6e00b (base 16) to base 15.\nAnswer: 8d781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 57*q**3 - 38*q**2 + 116*q - 7. Calculate a(3).\nAnswer: 1538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8201 - -713.\nAnswer: 712.1799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 884 = 4*p + 3*g + 137, 939 = 5*p + 3*g. Calculate the highest common factor of 2816 and p.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400 - 400 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 576373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 530074123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/((-42900)\/8288) - 5\/(-1) and -67\/33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -5\/2*u**2 - 6*u + 1\/20*u**5 + 0*u**4 + 0*u**3 + 0. What is the derivative of x(r) wrt r?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15538\/569 and -26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 3:48 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1852)\/(-64) - 8\/(-128). Suppose -73 = -22*z - l. Sort -1, -5, 19, z in descending order.\nAnswer: 19, z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.1, -2\/7, -184, -13 in ascending order.\nAnswer: -184, -13, -2\/7, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 7*q**2 - 6*q - 4. Is 8 a factor of v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(2\/(5 - 11)). Let y = u + 111. Let o = -73 + y. What is the nearest to 2 in o, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14240465?\nAnswer: 5, 137, 20789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.774776 micrometers?\nAnswer: 4774.776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.10266416 and -4.\nAnswer: 0.41065664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 1. Let z be p(-3). Suppose -2*k - 12 = k - 3*g, -5*g - 34 = k. Let c = k - z. Is c < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353158855 to the power of 1\/2, to the nearest integer?\nAnswer: 18793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -75.6554 - -0.1\nAnswer: -75.5554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2359*x - 640.\nAnswer: -2359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(99)*1*-1 - (sqrt(99) - 5*sqrt(99)*-3)) + 0)**2.\nAnswer: 457776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m - 31. Let z(f) = 4*f + 46. Let o be z(-10). Let n(v) = -11*v + 32. Let j(q) = o*n(q) + 7*h(q). What is the derivative of j(d) wrt d?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-3080)\/(-126))\/20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 28. Let w(x) = 29*x**2 + 9*x**2 - 43*x**2. Calculate w(n(h)).\nAnswer: -45*h**4 + 840*h**2 - 3920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 + 62*k**2 + 8287*k - 273. Calculate z(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 11*z + 12. Let d(o) be the third derivative of o**4\/24 + o**3\/6 - 2*o**2 - 7*o. Let r(h) = -d(h) + x(h). Find the first derivative of r(c) wrt c.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 3025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5352619 and -0.1.\nAnswer: 535261.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 10. Let l be p(7). Let d be (-1 - l) + 3 + -3. Let f = -12 + 14. Solve f*x - d = k + 2*k, 0 = -4*k - 4*x + 24 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 2*g - 3. Let n(z) = 7*z**2 - 5*z + 7. Let f(b) = 4*n(b) + 9*x(b). Let h be f(3). What is the second smallest value in 0.4, -1, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1521520 by 117040.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (51\/9)\/1 + 2\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4640*d + 3937*d + 3515 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 = -0*u. Let v(q) = 3 - q**3 - 4*q - 3 + 3 - 2 + 4*q**2. What is v(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 1 o when three letters picked without replacement from qomcqwcwwqq?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8792389*a + 9240257 wrt a.\nAnswer: 8792389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-381)\/(-762))\/((-2)\/(-4)). Sort -4, -437, d in descending order.\nAnswer: d, -4, -437","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10766170?\nAnswer: 2, 5, 1076617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*o + 20, -4*o - 5*x - 20 = -o. Suppose -40 = -2*a - o. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/7)\/(32 - (-223)\/(-7)). Determine a so that 2*a**3 - 8\/9*a - 32\/9*a**t + 0 = 0.\nAnswer: -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20575 - -20711. What is the remainder when 415 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**7\/273 + m**6\/15 - 29*m**5\/65 + 53*m**4\/39 - 85*m**3\/39 + 25*m**2\/13 + 108*m - 3. Factor x(k).\nAnswer: -2*(k - 5)**2*(k - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.16 + 1.2. Suppose 0 = 4*z + 5*b + 28, z - 2*z + 14 = -4*b. Is z greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h + 0*h + h + 3*h - 5*h + (-3 + 3 - 2*h)*(0 - 3 + 5))*(-6 - 5 - 18) + 0*h + 0*h + h.\nAnswer: 175*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -187*x**3 + 5*x**2 - 15*x + 605. Find the second derivative of v(s) wrt s.\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -0.3, -0.1, -3, -1\/4, 16\/85?\nAnswer: 16\/85","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d*(d\/((d\/(d**(3\/7)*d))\/d))\/d*d)**(1\/9)\/((d*d**(-8))\/(d*d\/(d\/(((d\/(d*d\/(d\/d**3)))\/d)\/d)))))**(-1\/5) assuming d is positive.\nAnswer: d**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 - 75 - (21 - -3 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*b + 2*b = 23, b = 4*y - 10. Suppose -2*c + y = -3*n, -4*n = -c - 1 + 5. Suppose -v + 3*v = c. Round v to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = 5*h, 12*p - 19*p + h = -17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m = 3*m - 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 2*p - 12 to the form z*p + r and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 415*1 + (-9 - (-24 + 11)). Suppose -s*t + 430*t - 5830 = 0. List the prime factors of t.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 82174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-40)*-8*5 - -6555. What is i rounded to the nearest 100?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -7\/2*o**2 - 3\/10*o**5 + 0*o**4 + 2\/15*o**6 - o + 0*o**3 + 24. Differentiate a(u) wrt u.\nAnswer: 16*u**3 - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -2.\nAnswer: -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let y = 3 - t. Let d = 4 - y. Is -0.2 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52460\/7869)\/(2\/(-15)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2852936*a**3 + 2*a + 103267 wrt a?\nAnswer: -17117616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13*h**3 - 8*h**2 - 5*h + 6. Is y(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3\/5 + 166392*g**2\/5 - 1164972*g\/5 - 266272 = 0?\nAnswer: -41605, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4 + 6 + 31*j**2 - 3 - 2*j. What is the tens digit of c(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 3*j**2 - 3*j + 4. Suppose -k = 4*o + 9, 0 = 2*o + 4*k - 2*k. Give t(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7946.239 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**2 - 3*o**2 + o**2 - 7*o + 5*o - 2*o**3 to the form i*o + x*o**2 + l + f*o**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*w + 27 = 9, 5*w + 32 = v. Let y(b) = b**2 - 4*b - 5. Determine y(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 123. Let b = w - -214. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -35. Let v = u - 33.4. Which is the nearest to 1? (a) 0.2 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {e: 6, s: 1, b: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3159 + -3141. Solve 24*t + 84 = -k*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -523 + 10981\/21. Suppose 0 = 9*f + 90 - 81. What is the closest to f in q, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85314c (base 14) in base 4?\nAnswer: -101023122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276782 and 248?\nAnswer: 34320968","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 2*f + 0*f. Let a(t) = -9*t. Let l(x) = x. Suppose -4*n + 4 = 4*o, n + 3 = 4*n + 5*o. Let i(h) = n*a(h) + 6*l(h). Determine i(u(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**4\/4 - 19*j**3\/6 + 3*j**2. Let i(l) = 2*l + 6. Let o(p) = 2*h(p) + 7*i(p). Let n be o(-2). Sort -3, -5, n.\nAnswer: -5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 43, 151, 385, 793, 1423, 2323?\n\"Answer: 8*q**3 - 9*q**2 + q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Let h be 22\/(t\/((-20000)\/(-1))). Round h to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88070*v**2 + 44045*v**2 + 44089*v**2.\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1561129.\nAnswer: 31, 50359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or 18?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6878 is divided by 222.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 5, w: 4}. Give prob of picking 1 v and 3 y.\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91150 is divided by 2247?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**3 - 3580*q**2 + 644385*q - 1274490 = 0.\nAnswer: 2, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -105*i**4\/4 + 2*i**3\/3 + 28. Find the third derivative of t(v) wrt v.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 39*w + 3 = 0. Let y be w\/6*(-234)\/26. Which is the second biggest value? (a) 19 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*u**2 + 15*u wrt u?\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 22221221201002?\nAnswer: -22221221201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**2 - 3193*u - 710.\nAnswer: (u - 355)*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/65 and 59\/156.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by -2*((-2)\/11 + 912\/(-66)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r. Let b = 16 + -4. Let c = 70 - b. Let h(g) = 53*g - c*g + 1 - 1. Determine -2*h(w) + 6*l(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*r + 4135 = 4106, -r = -2*t + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 151 + 81 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-95*q - 1 + 30*q + 37*q)*(-10 - 7 + 2)*(-6 + 4 + 3) to the form k*q + w and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 + 5*c - 4. Let f(y) = -y**2 + y. Let u(g) = 5*f(g) - p(g). Let x be u(0). Solve 0 = -4*l - x*a - 4, 0 = -5*a - 9 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151 - -149. Let g = 4 + -1. Let i = -2\/11 - -15\/22. Which is the second smallest value? (a) i (b) k (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 16*n**2 - 18*n - 18. Suppose 5*z - 2*y = 178, y + y = -3*z + 110. Let a(w) = -w**2 + w + 1. Give z*a(q) + 2*d(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330826 (base 10) to base 2.\nAnswer: -1010000110001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 - z**3 + 21 - 9*z**2 + 14*z**2 + 22*z + 4*z + 7*z**2. What are the prime factors of m(9)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0*b + 16 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-147)\/(-245)*30\/72).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/42)\/(4901\/1638 + -3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 - 70. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(4\/(320\/8))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i**2 - 40*i**2 + 189*i**2.\nAnswer: 193*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73493\/808 - 9174\/101. Let 5\/2*p - a*p**4 - 1 - 9\/4*p**2 + 7\/8*p**3 = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -48*z + 19. Let r(g) = 6*g**2 + 69. What is i(r(p))?\nAnswer: -288*p**2 - 3293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -14. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15098053, -15098071, -15098089, -15098107, -15098125, -15098143?\n\"Answer: -18*r - 15098035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 346 - -10c12?\nAnswer: 11058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 - 4)*(2*d**2 + 0 + 0) + (-1 + 2 + 1)*(d**2 - 3*d**2 + 4*d**2) + (3*d + 0*d - 4*d)*(8*d + 6*d - 7*d).\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 59, 92, 123, 152, 179, 204?\n\"Answer: -k**2 + 36*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (726\/(-121))\/((-12)\/32).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -4.22, 0, 0.5, -1\/3 in decreasing order.\nAnswer: 4\/3, 0.5, 0, -1\/3, -4.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 5*y - 9 = 0. Suppose 3*u + 4*l + 263 = 0, 0 = 3*u + 4*l - y*l + 275. Let q = 183 + u. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306898 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 251 = -31*x - 537 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.6 (b) -3 (c) 1\/4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*p - 5*k, 0 = 4*p - 5516*k - 15487 - 1081 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 11\/7, 4, -3, 62, -1\/3, 7.\nAnswer: -3, -1\/3, -0.2, 11\/7, 4, 7, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from aepgp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 22*r + 5. What is the remainder when l(4) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311270537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 381*u**2. Let i(r) = 60657*r**2. Give i(z(k)).\nAnswer: 8805030777*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53956448 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14771159 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*x**4 - 281*x**4 - 169*x**4 - 230*x**4 + (0*x**3 + 6*x**3 - 4*x**3)*(-62*x + 28*x - 56*x) in the form i*x**4 + t*x**3 + m*x**2 + h*x + k and give i.\nAnswer: -983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5271 times -0.3?\nAnswer: -1581.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 - 2*g**2 - 3*g**2 + 2*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -1 + (-12)\/(-1) + (19 - 684\/36) and 85?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2. Let n = b + 1. Let k = -0.4 - -0.7. What is the closest to n in 2, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000701 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/58 + 6\/29. Let a(p) be the first derivative of 1\/2*p**4 - c*p**2 + 0*p**3 + 2 + 0*p - 1\/6*p**6 + 0*p**5. Factor a(g).\nAnswer: -g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -72739, -72741, -72743, -72745, -72747, -72749?\n\"Answer: -2*m - 72737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 318189 - 144427. Suppose -3*x - b = -4*v + 40146, 2*v = 5*x + 356504. What is x rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(476\/(-32))*(-16)\/64.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7798673?\nAnswer: 7798673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**2 + 10*v + 37. Let i(p) = 4*p**2 + 3*p + 12. Give -7*i(u) + 2*z(u).\nAnswer: -2*u**2 - u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6864\/2736)\/(-143)*(-6)\/(-8)*2?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q. Let t(x) be the third derivative of -x**5\/40 - 5*x**3\/6 + 4*x**2. Let o(v) be the first derivative of t(v). What is o(g(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at least as big as -47053.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -79.\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273 is divided by 67?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**9\/60480 - i**8\/10080 + i**7\/2520 - i**5\/20 + i**2. Let q(o) be the third derivative of k(o). Give q(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:25 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 696084*m**4 + 171*m**2 + 2921 wrt m?\nAnswer: 16706016*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfuujjwjuf. Give prob of picking 1 j and 1 w.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -2*i + 14, -2*i - 40 = 5*w. Let g = 55 + w. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 + 100 = 6*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*w**3 - 36*w**3 + 5*w**3 + w - 69*w**3.\nAnswer: -206*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:38 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 + 0)\/(-1) + -1. Suppose 1 = 4*o + y*v - 4, 4*o - 30 = 2*v. Suppose 0 = 5*f - h - 37, 0 = -h + o*h + 8. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 307 + -305. Find w, given that -1\/4*w**z - 1\/2 - 3\/4*w = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3307822*d**3 - 2277969.\nAnswer: -9923466*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*d + 443*d - 3658 = -2360. Let 25\/2*s**d + 3*s**3 + 45\/4 + 1\/4*s**4 + 21*s = 0. What is s?\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-102)\/(-8) - (-8 - 490\/(-56)). Solve -g = x - 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 3 (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -201*v**4 + 11*v**3 - 11*v**2 - 11*v - 25. Let q(w) = -67*w**4 + 4*w**3 - 4*w**2 - 4*w - 8. Let m(y) = 4*g(y) - 11*q(y). Differentiate m(t) wrt t.\nAnswer: -268*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8943361 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1674*j. Let l(y) = -4*y**2. Calculate l(a(g)).\nAnswer: -11209104*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.316275658 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4153398.\nAnswer: 2, 3, 37, 53, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.800078 - 3.8. What is m rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.069 and 92635249.521?\nAnswer: 92635253.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5142 and 61\/42.\nAnswer: 35994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/1977 and -131\/12.\nAnswer: 7908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*z = -993 + 1055, 2*z - 22 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*z - 19*z - 6*z)*(-3 - 3 + 7 + (3 - 6 + 2)*(-1 + 1 + 2)) to the form q + j*z and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(3*q - 4*q + 2*q + 0*q + 2*q - 3*q + (2*q + 3*q - 3*q)*(-2 + 2 - 1))*(-2 + 2 + 10).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 737\/12 + 18\/(-27). Let m = l - 3067\/52. Let p = -82\/47 - -2713\/235. Calculate the common denominator of p and m.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -69*u**3 + 13*u**2 - 10*u - 1. Calculate z(1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163182 - -163182. Let j be -2 - -48*(0 + -1). Let s be j\/2*(-2)\/5. Sort -1, o, s.\nAnswer: -1, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 + 63*z**3 + 190*z wrt z?\nAnswer: 24*z**2 + 378*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -30, 996, 3298, 7296, 13410, 22060?\nAnswer: 33666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*o**2 - 4*o**3 + 34898708 - 619*o**2 - 34898708.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**6\/27 + 8*b**5\/45 + 2*b**4\/9 - 4*b**3\/27 - 5*b**2\/9 - 4*b\/9 + 6. Factor d(l).\nAnswer: 2*(l - 1)*(l + 1)**3*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 21989?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/3, 0.2, 2, 3\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15962479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11079 = -282*h + 90*h + 3591 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9*o**2. Suppose -10 = 3*n - 4*c - 31, -n + 9 = -2*c. Let a(t) = 5*t - n*t - t. Give g(a(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 35.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 25 + 57*s - 55*s + 2. Is 9 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-59)*226678\/11526.\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78472.69m in centimeters?\nAnswer: 7847269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = -136. Let f = w + 36. Solve -20 = f*t + 5*b, -5*t + 20 = -0*t - 5*b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 4*z**2 + 13*z + 16. Let x be m(-1). Solve x = -c - 4*v - 4, -16*v + 21*v + 5 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22734, -45393, -68052, -90711?\n\"Answer: -22659*g - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10437559 to the nearest integer?\nAnswer: 3231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v - 11*v + v**3 + 8*v**3 - 15*v.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 1705 - 2999. Suppose -5*z = -z - t. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 24*o - 36 = 0. Solve 0 = 2*f - 0 - o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157369*c**3 + 3*c**2 + 4986 wrt c.\nAnswer: 944214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/11)\/(v\/v**(8\/5)))**(-9\/13) assuming v is positive.\nAnswer: v**(-9\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 94, 135, 188, 259, 354?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -3*b. Let f = 7 - b. Suppose f*p - 82 = 7*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 9:04 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3161 or -1?\nAnswer: 2\/3161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6)\/(q\/(q\/q**5))*q**2*q**(-8)*((q*(q**(-2\/21)\/q)\/q)\/q**(-2))\/(q\/q**(-8\/3)*q**(1\/2)) assuming q is positive.\nAnswer: q**(-851\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4265046 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 69, 127, 197, 273, 349?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 27251 = f, -15*f + 54518 = -13*f + 2*v. List the prime factors of f.\nAnswer: 97, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a + 3*a**2 + 294 + 13*a - 300 as c*a**2 + w + j*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171*k**3 + 23*k**2 - 3*k wrt k.\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*((-20)\/16)\/((-5)\/6). Solve 0*m = 5*m - 5*f - 20, -2 = -y*m - 2*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2. Let q be a(2). What is the nearest to 0 in -14, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91462.68 kilometers to millimeters.\nAnswer: 91462680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from lgllllllllgll?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + (-335)\/35)\/((-61)\/4697)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -14*l + 34 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 - 59. Suppose n - 25 = -m. Let s(b) = b**3 + 14*b**2 - 11*b + 20. List the prime factors of s(n).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2 - 1\/(-1). Suppose o + 2 - 10 = -2*n, -5*n = 5*o - 25. Let x(s) = -n*s + 1 + b + 0. What is x(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 918.0575 meters?\nAnswer: 918057500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/30 - x**4\/24 - x**3\/2 - 4*x**2. Let i(l) be the first derivative of h(l). Differentiate i(d) with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o*o*(o*o**(-6\/5)*o)\/o*o\/(o*o**(4\/3)\/o*o)*o**4)\/((o\/(o*o**(1\/4)\/o))**(-44))**(-4) assuming o is positive.\nAnswer: o**(-1958\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*r**3 + 46*r**3 + 32*r**3 + 73*r**3 - 76*r**3.\nAnswer: 151*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7721677 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155\/4 + 475\/12. Sort -10, t, -11 in descending order.\nAnswer: t, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m - 4. Let h(v) = -13*v + 9. Let u = -360 - -364. Determine u*h(y) + 9*w(y).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1189*x**4 + 16*x**3 + 133238*x**2?\nAnswer: 28536*x + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 7*o**2 - 8*o - 1. Let q be j(-6). What is the units digit of (-1)\/((-2 + 1)\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/w**(-5\/8))\/(w\/w**9*w*w**(1\/2)*w) assuming w is positive.\nAnswer: w**(33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g + s + 3, -3*s = 3*g + 15. Let r(i) = 1. Let h(b) = 14*b**2 - 2*b - 8. Let m(x) = h(x) + 6*r(x). What is the units digit of m(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496420 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((5 - 3) + 0 + 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 v when four letters picked without replacement from {o: 10, v: 9}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)*o**(1\/7))\/(o**(-7\/3)\/o**3))\/((o**2\/(o*(o*o**0)\/o))\/(o\/(o\/(o**(-1)\/o*o)))**(-17)) assuming o is positive.\nAnswer: o**(409\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - 1.4232.\nAnswer: -0.8232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 56 + (-179 - -148) + (0 + 1 - 0).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21160.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6408 - -6404. Which is smaller: -14.6 or k?\nAnswer: -14.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/11 - 38*k**4\/11 - 212*k**3\/11 - 140*k**2\/11 + 98*k - 686\/11 = 0. Calculate k.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 82067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 411 - 409. Suppose -2318 = -a*m - 7*k + 3*k, -3*k + 5830 = 5*m. Is m a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-14))\/(2\/(-14)). Suppose -t*u + 1 = -5*c + 11, 0 = 5*u - 5*c + 10. Suppose w + u = 23. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-31061130)\/(-35))\/6 + (-54)\/(-63) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g + 50 = 0. Suppose 0 = 7*a - g*a + 2631. Let q = 6166\/7 - a. Calculate the common denominator of q and -28\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5290*g*j**2 + 2*g*j - 29695*g + 16*j**2 + 3*j wrt j.\nAnswer: -10580*g*j + 2*g + 32*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z, 5*z - 5 = -2*n - 1. Let d(o) = o**2 + 1. Let i(v) be the third derivative of -v**6\/60 - v**5\/30 - v**3\/6 + 4*v**2. What is n*d(p) + i(p)?\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 8 = 4*n + 18*h, 2*n = 5*h - 14. Solve m + 9 = -4*w, n*m - 6 = 4*w + 5*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 3 + -3 + 2. Suppose w - 106 = p*z - 307, -w + 119 = 3*z. Does 6 divide ((-72)\/z)\/(1\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 + 519 = 11*i. Calculate the highest common divisor of 175 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2864*u**2 + 461105*u + 164. Determine h(-161).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + -7 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose -96 = -5*c + 4*l, -16 = -c - h*l + 6*l. Is c at most as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3767578 at least -3767577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 87*q**2 + 1617*q - 175. Calculate x(-60).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449 + 78*c**3 + 14*c + 469 + 26*c - 2*c**2.\nAnswer: 78*c**3 - 2*c**2 + 40*c + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488195290 to the nearest integer?\nAnswer: 22095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*s**4 + s**2*t**3 + 63*s**2 + 7*s*t**3 - 9*t**3 - 2 wrt s.\nAnswer: 60*s**2 + 2*t**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25411 - 2.6?\nAnswer: -25413.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 9*d**2 + 10*d - 11. Let m be t(8). Let r(w) = -3*w + m - 5 + 0*w. Let h(o) = -4*o**2. Give r(h(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16595601?\nAnswer: 3, 11, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -423317*j**6 + 187*j**4 - 27*j**2 + 2978757*j wrt j?\nAnswer: -50798040*j**3 + 4488*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i**5 + 9 - 104330*i**4 + 104330*i**4)*(-61 + 38 + 49).\nAnswer: -260*i**5 + 234","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/4)*t**17)\/(t*t*t**(-13)*t**(-2\/9)))**(1\/32) assuming t is positive.\nAnswer: t**(1043\/1152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + w + 9. Let h(r) = -r**2 + 10*r + 3. Let i be h(w). What is the greatest common factor of 48 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200313 (base 7) to base 16\nAnswer: 83eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8836.934 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000193 to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.53 + -0.43. Put o, -5\/3, 1 in decreasing order.\nAnswer: 1, o, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50703 divided by -16901?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 16*a**2 + 30*a + 486. Calculate k(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/14)\/(437\/(-133)))\/(4\/(-4))\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*q**3 + 305*q**2 - 566*q - 6?\nAnswer: -150*q + 610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25399401 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qguuuuggeeqgu. What is prob of sequence uuqu?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7 - (-1243)\/(-44))*3*-4 is divided by 407?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 22?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**4\/12 - 36*m**2 + 2. Let w(k) = 15*k**2. Calculate w(h(f)).\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**5 - 70*z**3 + 5*z**2 + z + 220. Let a(b) = b**3 - b**2 - 1. Let n(m) = 5*a(m) + y(m). Find the second derivative of n(r) wrt r.\nAnswer: 160*r**3 - 390*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7676937*c**4 + 55629*c + 185 wrt c?\nAnswer: 92123244*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 167 - 112. Let x = -57 + g. List the prime factors of x + 0 - (-8 + 8) - -39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 10:25 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 b when four letters picked without replacement from {x: 8, b: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Suppose 0 = 3*k + 6, 2*m + 2*k = 6*m - 16. Solve -m*s + 5*v - 6 = 10, q*v = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149, -78, 115, 490, 1107?\n\"Answer: 10*i**3 + i**2 - 2*i - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3080 and -16.\nAnswer: -49280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 71, 5, 3.\nAnswer: 3, 5, 18, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3*u**3 - 95*o**3*u + 268*u**3 with respect to o.\nAnswer: -6*o**2*u**3 - 285*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95059679477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 5. Solve g = 5*f + 25, -5 = 2*g - o*g - 5*f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -5)*(0 + 1)*5. Solve 3*y - 3 = -r, a*r = 4*y + 3*r - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 6*y**2 - 5*y - 5. Suppose 9 = -6*f + f - 3*o, 3*f + 2*o + 6 = 0. Suppose f*m + 6 = 2*m + 4*x, 2*m = x + 11. Determine t(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 2*f**2 - 2*f - 1. Let l(c) = c - 1. Let j be l(0). Let d be h(j). Is d + (-1)\/((-2)\/784) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7564*a + 1546113*a**3 + 324*a - 1552327*a**3 wrt a?\nAnswer: -37284*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1 + (-9)\/(-6)). Let c = n + 1. Let v = 4 + c. Solve -2 = -u + v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 6*z + 16. Calculate the remainder when (1\/(-1))\/(2\/(-4)) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 128374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + k + 31 = 15, 5*k = b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + k + 158, k = a - k - 46. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -405879, -405900, -405911, -405906, -405879, -405824, -405735?\n\"Answer: g**3 - g**2 - 25*g - 405854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z)**48\/(z**10)**27 assuming z is positive.\nAnswer: z**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3477 - -19 - 105\/(-7). What is h rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 59. Factor 0 + 4\/3*g**3 + 0*g + 4\/3*g**p + 1\/3*g**4.\nAnswer: g**2*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/10)\/(-1)*(-6)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppdedztdddtepp. What is prob of sequence ep?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-4) - (-12 - -5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6*r + r - 20840005 = 0, 2*r = -2. What is a rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -26*x + 5. Let z be r(-1). Suppose 0 = -34*k + z*k + 12. Calculate the remainder when 12 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -205 from 0.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2 + 2*x + 0 - 2. Let d be (-6)\/9 + (-8)\/6. Let i(p) = p + 1. Let q(o) = 2*o - 2. Let c(l) = d*i(l) - q(l). Calculate m(c(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 - w**2 - 7*w - 7. Let o be y(-3). Let a = o + 110. Let v = 18 + -13. What is the smallest common multiple of a and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 0.04\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2791*j**4 + 271*j**2 - 23. Let k(x) = -x**2 + 6. Let a(b) = 4*k(b) + w(b). What is the third derivative of a(q) wrt q?\nAnswer: -66984*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406836883 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(468) - (sqrt(468) + 1 + -1 - sqrt(468)) - -3*(3 + (sqrt(468) - (0 + sqrt(468)))))**2*-3 + -1.\nAnswer: -5764 - 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1179)\/(-18)*(-4)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378116356 = -14*g - 2453243644. Round g to the nearest one million.\nAnswer: -202000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 2*n + 0*n + (12 - 11 + 7)*(3*n + n - 6*n).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -114*g - 17. Is w(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -20. Suppose 4*c - 199 = -63. Calculate the remainder when c is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + x - x)*(-900*x + 900*x + 46*x**2) to the form k*x + v*x**3 + y + j*x**2 and give v.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -feab - 5?\nAnswer: -feb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 3*f**2 + 4*f - 2. Let g be (-6)\/(-3)*-1*(-5)\/5. Calculate the least common multiple of 2 and q(g).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 55. Solve l*d - 12 = -6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1290)\/(-688)*2*(-3)\/(-9)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.97428ug?\nAnswer: 0.00997428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, j: 2, o: 3, z: 1}. Give prob of sequence ff.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c + 5392. Let y = -32447\/6 + c. Find the common denominator of 73\/12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 241, 5, 0.8, -19, -1, -0.07?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-49)*k**26)**(4\/11))**48 assuming k is positive.\nAnswer: k**(-4416\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 5. Suppose 3*o - m = -3 + 20, 4*o + 5*m - 29 = 0. Calculate the remainder when p(-4) is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 - 233*a**2 - 4629*a\/4 + 2781\/2.\nAnswer: -(a - 1)*(a + 6)*(a + 927)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z. Let r be 1\/(-4) - (-771)\/12. Let v = -63 + r. Determine y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -536522 (base 12) to base 10\nAnswer: -1317482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1141 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f + 2*f**2 + 25 - 21 - 3*f. Give n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, 22037.\nAnswer: -4, -3, 0, 22037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1105762294 and 728.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -1, -5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + d + 3*d - 2*d - 5*d + (2 - d - 2)*(0 + 3 - 2) + d - 2*d + 0*d)*(3*d - d - 5*d).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2493*d**3 - 1261*d**3 - 1258*d**3.\nAnswer: -26*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**3 + 6*o**2 + 6*o + 9. Let s(u) = 9*u**3 - 12*u**2 - 12*u - 18. Let j(t) = -7*h(t) - 4*s(t). Calculate j(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttznzznznztnzz. Give prob of sequence zz.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbn when three letters picked without replacement from {b: 1, s: 3, p: 7, n: 5}.\nAnswer: 1\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 - 5*o**2 - 7. Let p be 5 - 64\/(40\/5). Let h(v) = v**3 + 3*v**2 + 4. What is p*a(i) - 5*h(i)?\nAnswer: i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -93. Let n = 26 + -22. Which is the closest to n? (a) -0.3 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 898.6 - 899. What is the third smallest value in s, -5, -50?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3450 - -3451. Is -3.01 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 5*n**2 - 2*n + 15. Let k be u(5). Let x be ((-96)\/(-5))\/(k\/(-625000)*1). What is x rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431.974 tonnes in nanograms?\nAnswer: 3431974000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2592952 is divided by 66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 1. Let r be i(-2). Suppose 0 = -3*a + 7 - 1. Suppose -6*o = -a*o - 8. Solve r*b + 3*v + 19 = 4*v, o*b = -4*v + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 957498 and 6996.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 2, f: 4, y: 2}. Give prob of picking 2 h and 2 z.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 80*k + 14496. Determine x(-184).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34233 or 34232?\nAnswer: 34233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2836.782 rounded to the nearest ten?\nAnswer: -2840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(((-1)\/(-2))\/(5\/2)). Solve -2*o + 16 = 2*n, 3*o = n - y*n + 29 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 175*y = 170*y - 309, 21*y + 1277 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uudm when four letters picked without replacement from dmdummddumu.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -247, -494, -741, -988, -1235, -1482?\n\"Answer: -247*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 - 112. What is the highest common factor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 24. Let l be q(16). Calculate the highest common divisor of 88 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 845923.6 microseconds?\nAnswer: 845.9236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22865, 22761, 22657, 22553, 22449?\nAnswer: 22345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 3, -0.14, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3480276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/829330?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**2 - 420*s + 106354*s**3 - 106354*s**3 - 25*s**4 wrt s?\nAnswer: -300*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 - 24 = 0. Suppose 4*a + 56 - 20 = 4*t, 4*a + d = -5*t. Let v = a - -8. Solve -v*j - 4 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**4 - 4835*f**3 - 75967*f**2?\nAnswer: 96*f - 29010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (10 - -4)\/(-42)*(-930 - 0) is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10006481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450524 is divided by 150169?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/4))**(-17)\/((i**(-3)*i)\/(i\/(i*i**(1\/2)))))**(-36) assuming i is positive.\nAnswer: i**(-207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144874 and 918.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 - 16.2. Let u = -14 - z. Let n = 0.8 + u. What is the second smallest value in -0.5, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 + 19*s - 20. Let k be v(7). Let o = 2 - 0. Suppose w = -o*w + 15. Calculate the highest common divisor of k and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290141 (base 11) in base 9?\nAnswer: -761735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-2) + (-5 - (-100839)\/(-12330)). Let m = 8\/685 + i. What is the common denominator of m and 3\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h + 4*h + 3*h**3 - h**4 - 3*h**2 + h = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 46\/3*a**3 + 44\/3*a**2 - 94\/3*a + 4\/3 = 0?\nAnswer: -2, 1\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 6. Let l(f) = 3*f + 12. What is 3*l(a) + 7*n(a)?\nAnswer: 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4374, -4383, -4398, -4419?\n\"Answer: -3*x**2 - 4371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 + k. Let n(t) = -1160*t - 22. Give n(c(i)).\nAnswer: -3480*i**2 - 1160*i - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 9:48 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*f + 95*f - 80 = -95*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 - -220. Let t(v) = v**3 + v**2 - v. Let z(o) = -2*o**3 - 3*o**2 + 6*o + 2. Give x*t(i) - z(i).\nAnswer: -i**3 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-7 + -15 + 10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 305*f + 902. Let o be x(3). Which is the closest to 0? (a) o (b) -1 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17612*q - 17633*q - 84. Let o(l) = -2*l - 44. Let m(g) = g + 44. Give q*m(b) - 3*o(b).\nAnswer: 2*b - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -0.11?\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 94\/(-8) - (-3 - -2)\/(-56 + 52)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.83 + 0.17. Let n = 13 - f. What is the third biggest value in n, 1\/8, 0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 4*n = -0*n. Solve n = 2*a - 8*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40472.91t to micrograms.\nAnswer: 40472910000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 70*w - 27 + 1028 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -127*j - 4. Let x(v) = -20829*v - 655. Let c(l) = -655*d(l) + 4*x(l). Calculate the remainder when c(-1) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4112 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-7))**(15\/2)\/((u\/(u*u\/(u\/(u**(-2)*u))*u))\/((u*u*u**(-30)*u*u)\/u*u*u)) assuming u is positive.\nAnswer: u**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -247722 + 174678279.\nAnswer: 174430557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 22 + 15 + 2*g)*(1 - 2 + 2)*(1 - 6 + 0) + 2*g + 2 + 1 - 4.\nAnswer: -8*g + 164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*f - 62*f - 53*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + v**2 + v + 1. Let c be i(-7). Round c to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1020\/(-85)*45\/72*-1?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10.852 * 7336\nAnswer: -79610.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20474 + -529. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = 19*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/65, 0.5, -0.2?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00291583152 to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195796?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -3*u + 4. What is the remainder when u\/154 + 684\/7 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaalrbbarlaarybwla. What is prob of sequence ar?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62402275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 51, 2, -3 in descending order.\nAnswer: 51, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 24, -7, 4, -1.\nAnswer: -7, -1, 4, 11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720110 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {x: 4, p: 2, v: 1, n: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -315*b. Let d(x) = -48422*x - 1. Give d(j(k)).\nAnswer: 15252930*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*l + 6*v + 20, 0 = -l - v - 4. Let h = -4 - l. Solve h*a = -5*p + 30, -4*p + 3*a - 6*a = -23 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4\/3 - 157424*j**3\/3 - 516035784*j**2 + 5165134128*j - 4649045868 = 0 for j.\nAnswer: -19683, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*o - 32*o + 10*o + 10*o as q + g*o and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2. Suppose -4*y = -3*j - 9*y + 345, 2*j - 226 = -2*y. Let m(i) = 110*i**2 - 332*i**2 + j*i**2 + 138*i**2. Give m(x(v)).\nAnswer: 234*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(20\/(-28)) + 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from {t: 3, q: 2, w: 3, f: 9}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**5 - 25*t**4 + 15*t**3 + 45*t**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21574*s**3 - 21612*s**3 + 43252*s**3.\nAnswer: 66*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n - 7. Let o be k(-2). Suppose -5*i + o*w - 20 + 75 = 0, 4*w = -8. Solve -2*g - i = -5*z, z - 2*z = -4*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**2 - 408*c + 5*c**2 + 7*c**2.\nAnswer: -2*c**2 - 408*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u**2 + 132*u - 1283. Give o(14).\nAnswer: 1741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-21) + (-1 - -1))*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/13868280 and -61\/227093085?\nAnswer: 1816744680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuzuuzuzuuuuuuu. Give prob of sequence zzz.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848.7083mm to centimeters.\nAnswer: 84.87083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 8429, 0, -2\/45, 2\/45 in increasing order.\nAnswer: -2\/45, 0, 2\/45, 1\/2, 8429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 78*l**3 + 544*l**2 - 15*l + 3. Let w be f(-7). What is the greatest common factor of w and 13370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -16*k - 5. Suppose g = 4*p - 24, g = 5*p - 8 - 21. Is w(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154971 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 31. Calculate the common denominator of (-198)\/16 - 0\/(-1) and (-110)\/160 - (j + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -216 * -153505.\nAnswer: 33157080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117644197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6049325831?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + -39. Let a = 62 + o. Find the second derivative of 87*h**a + 12*h + 0*h - 82*h**2 wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -25\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 3. Let z be h(5). Suppose z*y + 3*y = 20. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552630065 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Suppose 4*f = 3*x + 4, 5*x + 14 = -3*f - 41. Let r be (8\/(x\/3))\/(-3). Let q(s) = s + 2. Determine r*q(c) - 2*i(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1764 = -19*a + 6932. Calculate the highest common factor of 536 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81518 + -33?\nAnswer: -81551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -943*k**2*p**3 + 2*k**2*p + 2963*k**2 + 2169*k*p**6 + k + 124*p**2 - 2 wrt p?\nAnswer: -5658*k**2 + 260280*k*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 0*n + 5\/4*n**4 + 0 + 3*n**3.\nAnswer: n**2*(n + 2)*(5*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -26\/1821?\nAnswer: -26\/1821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -7.5. Let u = 7 + -3. What is the biggest value in m, -2\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-28))\/z**27)**(2\/27) assuming z is positive.\nAnswer: z**(-106\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472761*k**2 + 9*k**3 + 472761*k**2.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-320))\/1*(-2460)\/2296?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 108*l = 113*l - 15, -4*l + 298 = 58*m + 100 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*y**3 - 5*c**3 - 6*c**2*y**3 + 20*y**3 wrt c?\nAnswer: 12*y**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 2*q)*(-q**3 + 2*q**3 + 0*q**3) - q**4 + 6*q**4 - 3*q**4.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 3930*t + 15736.\nAnswer: -(t - 3934)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/4)\/(6\/8). Let l be (3 + f)\/((-5)\/2). Let a = 0.26 + 0.04. Which is greater: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6)*m*m*m**(-8)*(m**(-1\/5))**(-4\/39))\/((m\/(m\/(m*m**(-1))))**(-31)*(m*m**8)\/(m\/(m**(2\/3)*m*m))) assuming m is positive.\nAnswer: m**(-6427\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.608 - -0.108. Let u = -0.1 - 0. Let r = 0 - u. Put w, r, 1\/2 in ascending order.\nAnswer: w, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 24*c**2 + 21*c - 4. Is r(16) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -13*z. Let b(s) = 12*s. Calculate -6*b(h) - 7*y(h).\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 0, 4*r = 3*r + 4*j + 7. Suppose 0 = r*u - 12731514 - 585068486. What is u rounded to the nearest one million?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -296051 + 760464. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 10*f**2 + 10*f - 17. What is the units digit of x(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.456 - 0.256. Let d = -5.503 + -0.497. Put -5, d, n in increasing order.\nAnswer: d, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(3 - 10\/5). Let g be 60\/27 + (-4)\/18. Is 13 a factor of g - (3 - v) - (-126 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 + 0*z**3 - z**3 + (0 + 6 - 27)*(3 - z**3 - 3) + (3 + 7 - 6)*(-z**3 + 5*z**3 - 2*z**3) to d*z**3 + l + g*z**2 + v*z and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.8 + 21.5. Let i = -9 - k. Which is the nearest to -2\/3? (a) i (b) 4\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttk when three letters picked without replacement from {k: 1, t: 2, e: 11, v: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Suppose x = -3*k - 3*f + 26 + 22, 3*f + 3 = 0. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272614 (base 8) in base 5?\nAnswer: 11030003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.6 + 19. Let r = l - 9.6. Which is the closest to 4? (a) -1 (b) -0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2\/4 - 168329*t\/4 + 22484262 = 0.\nAnswer: 536, 167793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332 + -957. Let b = a - -625.0593. Let z = b + -9.9793. Round z to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.329 rounded to 1 dp?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101 (base 2) to base 5.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 15.09.\nAnswer: 75.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518\/18 - (-4)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-15) - (0 - 1). What is the closest to 1\/2 in -0.5, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 7209?\nAnswer: 7207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 53846\/(-1526) - -2*(-2)\/(-14). Is -4 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/4*q**3 + 0 + 0*q + 3\/2*q**2.\nAnswer: 3*q**2*(7*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(171)*3.\nAnswer: -54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**7\/63 + 4*t**6\/45 - 3*t**5\/5 + 10*t**4\/9 - 7*t**3\/9 - 43*t - 1. Factor y(h).\nAnswer: 2*h*(h - 1)**3*(h + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - 2) + -2 + -2 + 3. Let v be q\/(-1) + 8 + 0 + -3. Solve 2*r = l + 5*r + 8, -4*l = r - v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y - 5247 + 2627 + 2626 - 2*y**2 + (y**2 - 1 + 1)*(-1 + 0 + 2).\nAnswer: -y**2 - 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 17*h = 14. Let w(n) = -n - 6. Let i be w(h). Solve 2*t + i = -j - 0*t, 2*t - 11 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54881, 54859, 54823, 54773, 54709, 54631?\n\"Answer: -7*x**2 - x + 54889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6*104\/(-26)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -2\/13*m**3 + 2\/13*m**2 - 1\/13*m**4 + 126 + 0*m. Determine l so that v(l) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*5*sqrt(190)*3)\/(6*sqrt(90)*1))**2.\nAnswer: 1900\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/5 = -56579.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**2 - l + 2259. Determine n(-27).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502633?\nAnswer: 502633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 80527266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 2682*s + 10705. Determine a(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128 divided by 7?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -186 + -3863?\nAnswer: -4160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 5\/2*w**2 - 1\/3*w**3 - 3 + 1\/6*w**4 - 1\/30*w**5 + 0*w. Let g(k) be the second derivative of x(k). Factor g(j).\nAnswer: -2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.5, -112, 4\/21, 29?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -267 + 393. Suppose -u + s + 87 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 352 + -281. Let c = -272 - -280. What is the remainder when o is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - (-17)\/(-26). Let l = -0.4 + 0.7. Which is the biggest value? (a) o (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.6354 + 3867518.\nAnswer: 3867482.3646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -359*u**2 + 297*u.\nAnswer: -718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 1 x when three letters picked without replacement from xxnjnllnwn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = 4*q + 2220. Let h = q - 1327\/6. Find the common denominator of -7\/30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 547, 2208, 4981, 8866, 13863, 19972?\nAnswer: 27193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547101408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706961397?\nAnswer: 3, 235653799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -84880, -1\/5 in decreasing order.\nAnswer: 13, -1\/5, -84880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 + 7*v + 25. Let h be d(-4). Let w = h + 113. What is the lowest common multiple of 9 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 16*j + 4. Suppose 2*y = -2*y + 16, -2*s + 5*y = 50. Let x be m(s). What is the highest common factor of 57 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 855036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = g, -5*f - 3*g = 3*f + 10. Sort 11, f, 5, 0 in increasing order.\nAnswer: f, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1422408 or -1422406?\nAnswer: -1422408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -11. Let q = c + -4. Let g be (0 - 1)\/(1\/(-3)). What is the greatest common factor of q and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/(-14))\/(1\/8). Let m(j) = j**2 - 4*j - 4. Let c be m(w). Let h = 49\/6 - 8. What is the fourth smallest value in -0.1, c, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-483 + 7*s + 483)*(-s + 0 + 0)*(-3 - 3 + 5) to u*s + o*s**2 + z and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 9 - 5 - 1 - 4. Calculate i(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -78, -76, -72, -66, -58, -48?\n\"Answer: u**2 - u - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + 0.47. Let l = k + -1. Let d = 9 + -5. What is the smallest value in 5, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*v = 10, -2*v + 11 = -5*x - 3. Let k = 13 + x. Suppose -2*o - 2*o + 100 = 0. Solve o = 4*b - k*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*2*1477\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342045508 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + -8 + 6\/(-36). Let x = -705\/8 - -88. What is the closest to 1 in 1\/3, x, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 0*n + n**2 + 0*n. Let x(l) = -8 + 32 - 11 + 3*l - 13. What is x(p(d))?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 5:37 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0 + 0*h**3 + 0*h - 1\/4*h**4 + 15*h**2. What are the prime factors of f(-11)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -13*i**2 + 2*i**3 - 210 + 15*i + 226 - 3*i**3. Let z be r(-14). Suppose -161 = -3*g + v, z*g = 3*v + 58 + 61. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-1)\/28*-2. Let f be -13 + 10 - (1 + 0). Which is the second smallest value? (a) f (b) t (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54193823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2344, 2358, 2408, 2512, 2688, 2954, 3328, 3828?\n\"Answer: 3*o**3 - 7*o + 2348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 62?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/1411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -289229, -289223, -289217, -289211, -289205, -289199?\n\"Answer: 6*j - 289235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253 + 250. Let t be (-84)\/(-63) - 2\/x. Solve t*s - 3*l = s + 7, 5*s - 24 = 4*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from ccjdjga?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1118*f - 144205. What is l(129)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + (-12)\/(6 + -3). Suppose 3*i + 49 = s, -3*s - a*i - 226 = -7*s. Is s a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 72122\nAnswer: -7\/36061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*t - 0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**(-4\/9)))**(-34)\/((i*i**1\/i)\/i)**(-36) assuming i is positive.\nAnswer: i**(-170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 10) to base 16\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 535 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 249703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 + 44*v**2 + v - 16. Let q be u(22). Let y = -10 - -5. What is the smallest value in q, 2\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-21))\/3*4. Let a = 5.96 + 0.04. Let x = a + -7. What is the third smallest value in x, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513253.\nAnswer: 13, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v**(3\/4)\/v*v*v)\/v)))**(-11\/4) assuming v is positive.\nAnswer: v**(-33\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s - 44. Let u be i(6). Suppose 3*h - 301 = -4*p, u*p + 267 + 192 = 5*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265474 less than -263970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbnnnnbsmnbnbmbnncn. What is prob of picking 2 n and 1 b?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -13. Suppose 3 = a - g. Suppose -14 = -3*f + a. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 839105484 a multiple of 8148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54 + 56. Suppose -5*r + 2 = j*l - 27, -2*l - 3*r = -19. Is (l - -624)*(5 + -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - m - 35282 = 0, 2*x + 2*x + 2*m = 28234. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c**2 - 2*c**2 + c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.13*-0.07.\nAnswer: -0.0791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 602215832 to the nearest 1000000.\nAnswer: 602000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 10*h - 7*h)*(-h**2 + h**2 + h**3).\nAnswer: -21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3238.297 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 133571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -18 + 0*t + 16*t**2 + 4*t + 2*t**3 + 2*t**3 - 6 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 176736*i**2 - 353584*i**2 + 176538*i**2.\nAnswer: -310*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.8 + 16. What is the closest to q in -0.1, -6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (815\/(-2771))\/(3*5\/6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (19652\/(-5780))\/(17\/(-84))\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255 divided by 24255.\nAnswer: -17\/1617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-40) - (-18154)\/(-5). Is k at least as big as -3631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 8*b. Determine z(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 0.1, -2.36?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -13 + -8 + 3 + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1441 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.7 + 9.4. Let w = y + 33. What is w rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.845 micrograms in tonnes?\nAnswer: 0.000000000248845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**7\/735 - l**6\/21 + 31*l**5\/70 - 6*l**4\/7 + 815*l**2. Solve f(a) = 0 for a.\nAnswer: -24, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3.4. Let m be 10\/(-4)*((-170)\/25 + 7). Sort 2, m, y.\nAnswer: m, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (9 - -2)*1. Let q be (y\/25)\/((-2)\/(-40)). What is the greatest common factor of 56 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 0 + (-78 - (-128 + 62)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1083982845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 0 + 7\/4*f**4 + 5*f + 5*f**3 - 3\/2*f**2 + 1\/20*f**5. What are the prime factors of p(-19)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**6\/6 + 47*p**5\/5 - 45*p**4\/4 - 47*p**3\/3 + 23*p**2 + 574. Suppose d(m) = 0. What is m?\nAnswer: -1, 0, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + 4.98. Let n = 58 + -172\/3. Which is the closest to 1\/2? (a) n (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -14*a + 16*a + q, -2*q - 36 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:51 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20*(-28)\/(-490))\/((-2)\/(-14)). Let z(x) = 2*x**2 - 15*x - 12. Determine z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2131106, -2131090, -2131064, -2131028, -2130982, -2130926?\n\"Answer: 5*j**2 + j - 2131112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108906417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-5 + -7)*(-11)\/176) + (-157)\/4.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 64 - (3 + (15 - (-11 - (0 + -12 + -9))))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 21 - 1 = 0. Suppose -m - 9 = r, -6 = 2*r + p*m + 15. Which is smaller: -9 or r?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:30 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -11*w + 2. Suppose -w*d - 4*d + 21 = 0. Suppose 2*n - 4*p = 164, -n - d*n - 5*p + 341 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -171*h + 170*h. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.4 (c) 0 (d) 346 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 - 22*w - 5. What is y(-19)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**5\/14 + 47*l**4\/84 + 2*l**3\/7 + l**2 + 733. Suppose n(p) = 0. What is p?\nAnswer: -3, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 = 4*z. Let o = 17 + -19. Let r(b) = -b - 5. Let l be r(-5). Put l, o, z in descending order.\nAnswer: z, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/6 + k**3\/3 + 18*k**2. Let p be h(0). Let n(g) = 31*g**2 - 1. List the prime factors of n(p).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3668 divided by -524.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**2 - 2*b + 2. Let j be (-70)\/(-100) + 3 + 54\/(-20). Calculate g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -401.494 + 401. Let l = -24.877 - -24.4083. Let o = l - z. What is o rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2cc + -122?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -15, 27 in increasing order.\nAnswer: -15, -4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(25\/2) - 47\/(-5). Suppose 0 = -5*m + 4*r - 87, 2*r = 4*m + 6*r + 48. Let t be (-3 + -2)*j\/m. Solve -t*w = a + 1, -w + 5*w - 1 = a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.524992 - -11.514. Round n to four dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 300 = 585. Let d = -180 + 298. Suppose -3*n + o = -q - 3*q, 2*n + 5*q = d. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 781326 and 10368?\nAnswer: 50004864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/108 and 67\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 416 + 43. Suppose 4*h + 143*l - 141*l - 224 = 0, 4*l - 70 = -h. Calculate the remainder when k is divided by h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-17)\/(-2))\/(3\/54). Suppose -2*b - b + g = 0. Suppose 0 = q - 4*d - 66, -3*q = -3*d - 213 + b. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -24 + -1 + 0 - -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Let t = 0.125 + 1.875. Sort t, -0.5, f in descending order.\nAnswer: t, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.770715 milligrams?\nAnswer: 0.000002770715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 26*g + 12. Is d(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -103, -3\/5, 4, 0.5 in descending order.\nAnswer: 4, 0.5, -0.5, -3\/5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - v + 2*v - 27 = 0, v = -5. Is (182\/h)\/((-3)\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -9) + (31 - 52).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/150 and -17\/2175.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j - 4. Calculate y(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**4 - 1910*w**3 - 178545*w**2 + 737260*w - 744980 = 0. What is w?\nAnswer: -193, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(2) + (sqrt(54) + sqrt(6))\/sqrt(3) - sqrt(2)) + (sqrt(288)\/sqrt(9)*5)**2.\nAnswer: 4*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from ppoufew?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 810189*0.1\nAnswer: 81018.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66104, -132169, -198234, -264299?\nAnswer: -330364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 divided by 16187?\nAnswer: 399\/16187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.54 + -4.71. Let z = 0.17 + n. Let s = 16 - 11. What is the closest to -2\/3 in s, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 124*n**3 + n**2 + 2*n + 1. Let m be c(-1). Let x = m - -1115\/9. What is the biggest value in 0.2, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.079208989 and -0.2?\nAnswer: 0.0158417978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20212005.\nAnswer: 3, 5, 11, 122497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -103*g**2 + 3*g. Let m(s) = -33076*s. Give m(a(v)).\nAnswer: 3406828*v**2 - 99228*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, w: 2, f: 2, s: 2}. What is prob of picking 1 w and 2 f?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-7)\/7 + -7)\/(-2). Let x be (c\/6)\/((-22)\/(-132)). Solve 3*k + 3*s + 25 = 5*s, 0 = -x*s + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:16 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o + 16*o + 21 + 141 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 2064?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/15))**(-29) assuming c is positive.\nAnswer: c**(-464\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 162140, 163478, 165704, 168818?\n\"Answer: 444*m**2 + 6*m + 161690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 3*x**4\/2 - 3*x**3 + 3*x + 5. Determine o, given that h(o) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 7*s**5 - 3*s + 44*s**5 + 15*s**5 + 114*s**5 + (-s**3 + 3*s**3 - 3*s**3)*(-2 + 2*s**2 + 2) + 4*s**5 - s**5 - 2*s**5.\nAnswer: 165*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -32*u**3 - 130*u**2 - 15*u - 27. Determine m(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.338 + 4.662. Which is the third biggest value? (a) -2 (b) l (c) 0.06 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/921561 and -19\/18.\nAnswer: 5529366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 315 = 5*j - 148 - 138, j + 25 = 20*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*t - 16, -4*n + 201 = -5*t + 236 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74650768\/5 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 j when two letters picked without replacement from {n: 3, r: 2, d: 2, v: 2, w: 1, j: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36437683459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5171782 and 1108239?\nAnswer: 15515346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f + 4*k - 140 = 0, -364 = -5*f - 3*k. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0404864386 to 5 decimal places.\nAnswer: -0.04049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*c**3 - 798*c**3 - 28*c**3.\nAnswer: -92*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -28, -21, 6, 59, 144, 267?\n\"Answer: s**3 + s**2 - 17*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)*m\/m**(-2\/9))\/((m**(-1\/2)*m*m*m)\/m)**(2\/65) assuming m is positive.\nAnswer: m**(4919\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24790, 49622, 74452, 99280, 124106, 148930, 173752?\n\"Answer: -f**2 + 24835*f - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + 5*(sqrt(245) + (3*sqrt(245))**2) + -2*(sqrt(245) - (2 + sqrt(245) + 3 - sqrt(245))).\nAnswer: 21*sqrt(5) + 11036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 5782*p + 103734. Determine m(18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**9\/105840 - w**8\/23520 + w**7\/17640 - w**4\/24 - 2*w**2. Let v(a) be the second derivative of q(a). Factor v(k).\nAnswer: k**2*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24519, 48943, 73367, 97791, 122215?\nAnswer: 146639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238 and 37247.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/7 + 77600*k\/7 - 376360000\/7.\nAnswer: -4*(k - 9700)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8199445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i + 30. Let s be n(4). Is s\/(-2)*11727\/27 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 33 (c) -4 (d) -2 (e) 0.3 (f) 190\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 6, 82.3, -0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, v: 1, z: 1, i: 1, f: 4}. What is prob of sequence vp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/21, 1.3, -0.5, 0.4 in descending order.\nAnswer: 1.3, 0.4, 0.1, 2\/21, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 + -132.9. Do -1 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55641*t**3 - 80*t**2 - t + 1?\nAnswer: 333846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -0.04 (c) 3 (d) 4 (e) -7\/76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**4 + 3*x**4 + 3*x**4 + x**4 + 2*x**4 + 2*x**4 + (2*x**2 - 4*x + 4*x)*(7 - 7 + 5*x**2).\nAnswer: 17*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 10.0001055. What is q rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/(-15)*-14*(-300)\/(-1260)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33050 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, m: 3}. What is prob of sequence emm?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*g**3 + 159*g**2 - 1711.\nAnswer: -9*g**2 + 318*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 2*o - o - 6*r, 18*o + 4*r = 37*o - 16*o - 120 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajj when three letters picked without replacement from xjxxaxxxxxxhxj.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 33 + 57 = 0. Let k = w - 10. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.1 + -10.1. Sort m, 3\/7, -1, 0.3 in ascending order.\nAnswer: -1, 0.3, 3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58360)\/(-61278))\/((-20)\/224)?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 582 + -466.1. Let a = r + -111. Let n = -947\/6 - -317\/2. What is the biggest value in 0.5, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*r - 36, 3*q - 3 = -155*r + 157*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/180 - x**5\/30 + x**4\/12 + x**3\/2 + 3*x**2. Let w(r) be the first derivative of v(r). Factor w(m).\nAnswer: 2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(153) - sqrt(17))*5*-4 - (1 + sqrt(612) - (3*(5 + sqrt(17)) + sqrt(17))))**2.\nAnswer: 7224*sqrt(17) + 37384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 172, 382, 592, 802, 1012, 1222?\n\"Answer: 210*b - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96127896\/71 > 1353913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 323*v - 328. Let h be f(1). Let a(n) = -n**3 - 7*n**2 - 5*n. Calculate a(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12501 is divided by 594?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42158, -84258, -126358, -168458, -210558?\nAnswer: -252658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/6)\/((-2)\/3). Let j(i) be the first derivative of -i**2 - 63*i + 222. Let u be j(-33). Solve -z*l - 5 = -u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 times 0.4?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.9 and 44.5.\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 10:35 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yixxyxqyyyyyxyyyyxy. Give prob of picking 2 y.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1050\/126*3\/5. Suppose 5*r - w*o - 14080 = 0, -r + 4*o + 758 = -2073. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19103 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 10*m + m - 2*m**2 + 1 to n*m + o*m**2 + p and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 14 = 2*l, -5*l + 6 + 1 = -3*h. Let w = 27 - l. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 12. Suppose 4*v = 2*f + 62, v - 5*f - 43 = -2*v. Let c = p - v. Calculate the remainder when 35 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197553709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*7\/84)\/(990\/14256).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/314437 or 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 187009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/32*2060\/18025?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -600625\/6, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355846 (base 10) in base 7?\nAnswer: 3011311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90222 + -407893664\/4521. Is k > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4924446 is divided by 699?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1*1\/(-3). Suppose 0 = -h + 5 - 3. Let g = h + o. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -86. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12*w**2 - 72*w + 7. What is c(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 299*i**2 + 252*i + 14410. Give d(300).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-1413.\nAnswer: 565.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l\/(l*l**(-1)))\/l))**(-43) assuming l is positive.\nAnswer: l**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*v - 314, -u - 157 = -26*v + 24*v. Is u > -159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4014336*-0.04\nAnswer: -160573.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1201.08 in 0, 16, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704))**2 + sqrt(11)*1*1.\nAnswer: sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67841 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5406916?\nAnswer: 2, 41, 32969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -184327 != -184326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8267125 is divided by 2755637?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2270\/28*((-3185)\/(-175) + -19) - (-120)\/(-105).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 38*y - 349. What is o(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403486174?\nAnswer: 2, 7, 13, 2216957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -11*w**2 + 5*w - 39. Let b(m) = 12*m**2 - 6*m + 40. Determine -4*b(q) - 5*u(q).\nAnswer: 7*q**2 - q + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 2 + 55\/40 + -6. Sort -5, -19, -2\/9, 6, w in increasing order.\nAnswer: -19, -5, -2\/9, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + -2 + (44 + -6 - 24).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggcg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5006 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/368 and -3\/9200?\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 969, 932, 863, 756, 605, 404, 147?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14850 and 1485?\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244.1 + -244. What is the third smallest value in r, 0.07, -3\/5, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(4*((-27)\/3)\/(-126))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + 392. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**2 + a - 2*a - a)*(-a**2 + 0*a**2 + 3*a**2) in the form y*a**2 + w*a**3 + r + q*a**4 + v*a and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2*i**6\/45 + 43*i**5\/90 + 13*i**4\/27 - 175*i**3\/27 + 100*i**2\/9 + 3251*i. Let g(d) = 0. What is d?\nAnswer: -5, -4, 5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36302728?\nAnswer: 2, 7, 11, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2611\/77 + 465\/5115.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539.9166 meters to nanometers.\nAnswer: 539916600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 49893*c - 49893*c - 13 - 69*c**2 in the form a*c + w + j*c**2 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25*-8442\nAnswer: 211050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 4*t + 2. Let g be w(2). Let x = 0.103 - 0.003. What is the closest to g in 3, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let i = -19.16 - -19.11. Let l = -0.4097 + 0.0097. What is the nearest to -0.1 in l, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 8:50 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 52. Suppose -4*j = -0*j - 3*u - 25, p*j - 11 = -3*u. Solve 5*r + 1 = -j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by 3.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 508 - 512. Let w(i) = -5*i + 4. What is w(k)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -253 + 255. Let b(g) = 8*g - 2. Determine b(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 15*d + 21. What is t(2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4. Let n(f) = -13*f**3 - f**2. What is n(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gxgggggxgggggxg?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 - ((2 - -2) + -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*f = 16, -53*y - 5*f + 18 = -50*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 91\/10*h**5 + 3*h + 3 + 0*h**4 + 0*h**2 + 307\/6*h**3. What is the second derivative of s(j) wrt j?\nAnswer: 1092*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*x - 56 = 0, 5*d - d = 3*x + 275. Calculate the remainder when d is divided by (101682\/(-4035))\/(((-4)\/5)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 + -119. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 9*z - 10. Let p be w(4). Let j be 4 - -4*3\/p. Solve j*c + t = -11, 17 = c - 4*t - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84317 + 116.9.\nAnswer: -84200.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4327443 rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 810232336 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, and 2 s when four letters picked without replacement from sshshshshsjvvhhhv.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + (-3 - 0) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3223, -12878, -28937, -51376, -80171, -115298, -156733, -204452?\n\"Answer: 4*t**3 - 3226*t**2 - 5*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492960 and 7189?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 148 = -2*h. Suppose 5*f - 3*p - 368 = 0, -6 = -2*p - 8. Let u = h + f. Does 32 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 - -224. Suppose 14*i = -o*i. Solve i = 7*k - 8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = -31 + 7. Sort 4, l, -4, 17 in decreasing order.\nAnswer: 17, 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*p = 1, -5*p = -4*q - 2 - 9. Let t be 0 + q\/((-2)\/(-6)). Let 4*n**t - n - n**2 - 3 - 3*n**3 + 4 = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12*r**2 - 8*r - 4*r**2 - 2*r**2 - 6 + 2. Let d be c(8). Round d to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22686660 is divided by 324095.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 3. Let v = -16 + 11. Let g(s) = -2*s - 4. Determine v*m(z) + 4*g(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287422749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**2 + 1. Let z be v(1). Let a be (2*-5)\/((-4)\/(-14) - (-1880)\/(-1680)). Calculate the highest common divisor of z and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 1328566932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d**3 - 2*d**2 + 4*d - 4. Let m be h(2). Suppose -3*k = m - 59. Which is bigger: k or -25\/12?\nAnswer: -25\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -794\/5 + 17493\/110. What is the common denominator of 89\/24 and z?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1056277 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 25*g. Let w(l) = 12*l - l - 20*l + 4*l + 3*l. Determine w(r(i)).\nAnswer: 4*i**2 + 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8595301t in kilograms?\nAnswer: 859.5301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -10*j**2 + 47*j + 10. Calculate l(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3)*(-3 + l + 3) + 148 - 148 - 56*l.\nAnswer: -51*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -190? (a) 0.3 (b) 4\/7 (c) -2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -2550022?\nAnswer: 2550020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 + 1. Let w(m) = -m**2 - 1. Give -k(s) - 2*w(s).\nAnswer: 2*s**3 + 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002628 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.6249366695 - 952\nAnswer: -952.6249366695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 209 + -173. Suppose -8487 = -t*q + 3465. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74558*c**3 - c - 76900*c**3 + c.\nAnswer: -2342*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 + 14*x**3\/9 + 5*x**2\/9.\nAnswer: -x**2*(x - 5)*(3*x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 2*l - 2. Let a be ((-32)\/(-24))\/(1\/3). Is 22 a factor of m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -n - 17, 6 = 4*n - 2*i + 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**5\/10 + 5*i**3\/6 - 4*i - 8. Let s(o) be the first derivative of x(o). What is the second derivative of s(n) wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -18*c**2 - 9582*c - 106241. What is m(-521)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -16. Is 6\/z + (-364)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 35 + 55 = 13*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 71. Suppose -7*v + 3*f = -2*v + 18, -2*v - 8 = -f. Let y be (-8)\/v*1\/2. Which is smaller: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33650\/(-4038))\/(1\/(-3))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (141 - 108) + 12 + -29.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, -7, -96, -251, -490, -831?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -53. Calculate the lowest common multiple of 4 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6462*s - 6404. What is p(-1)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894932 take away -111422?\nAnswer: 3006354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000165 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, i: 4, k: 2, t: 3, h: 7}. What is prob of sequence iki?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 + 219*g + 4142. Give r(-15).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/7*((-12614)\/(-102))\/(-53)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8573 - -8573. Which is the second biggest value? (a) s (b) -0.02 (c) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44814 and 24.\nAnswer: 179256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/12 and 85\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3155*c - 389018 - 21132 = 0 for c.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1569, 330, -909, -2148, -3387?\nAnswer: -4626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96*w - 21892 + 144*w + 21881 wrt w?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 1*(0 + 1). Let o(q) = -52*q - 5. Is o(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003804 to six decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10433556 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0, 0.1036, 2\/17, 0.5, -3\/5?\nAnswer: 0.1036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/7, -308, -187\/7, -0.3 in ascending order.\nAnswer: -308, -187\/7, -0.3, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 15*h = 21. Solve 2*j = -5*b - h, -4*j + b = -2*j - 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -3965.\nAnswer: -79300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853293351 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 2*z**3 + 3*z)*(29 - 29 + 10*z) + (z + z - 4*z)*(z**3 + 4*z - 4*z) to u*z**2 + g + b*z + x*z**4 + y*z**3 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2225 - -16728. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = 2*c - 62, -3*c + 73 = x. Suppose -c - 63 = -2*b. Suppose b - 18 = 5*v. Solve -4*r = -11 - v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161385 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16168 and 2318980.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2155 divided by -18\nAnswer: 2155\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2182*r**3 - 5*r + 5*r.\nAnswer: 2182*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 3*s**3 - s**3)*(s + 8 - 8 - 4*s - 3*s + 2*s + (-2 - 5 + 5)*(5*s - 5*s - s) + (-1 - 2 + 4)*(273 - 560 + 211 + s)).\nAnswer: s**4 + 76*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 16 (b) -30 (c) -5 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -783996 divided by -3\nAnswer: 261332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 3, i: 6, x: 4, r: 5, j: 1}. Give prob of picking 1 h and 1 x.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27313)\/(-2145) + (0 - (10 + 3))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 2. Suppose 10 = 2*r - 3*d, 23*r + 4*d + 12 = 25*r. Determine k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbrbr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + -1. Let w = 4.01 - 0.01. Sort w, r, -5.\nAnswer: -5, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = j + 3*l, 0 = -3*j + 7*l - 3*l + 70. What is the lowest common multiple of j and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2. Let p(f) = -16*f**2 - f + 498. Let y(i) = 4*j(i) - p(i). Differentiate y(q) with respect to q.\nAnswer: 32*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Suppose n - 6 = -i*n. Does 13 divide 1 + -3*(-32)\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3516, 7032, 10548, 14064, 17580, 21096?\n\"Answer: 3516*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 121 or 2.23?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - ((10 - -5) + 1 + -15)) + 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 26, 69, 120, 173, 222?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - -25bd?\nAnswer: 25ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:39 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 10*h**3\/13 - 28664*h**2\/13 + 13456714*h\/13 - 413700 = 0.\nAnswer: 2\/5, 591, 2275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63.5 - 58.5. Which is the second biggest value? (a) -4 (b) 0 (c) -0.1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37383, -151987, -343803, -612831, -959071, -1382523?\nAnswer: -1883187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + o + 45000 = 0, -o - 3*o = 4*j - 35976. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395101483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24070 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 l = -267\/10 + 573\/40. What is the common denominator of l and 1*(15\/4)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*l + 142392, -5*l + i + 29349 = -148671. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 16734790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74, 76, 80, 86, 94, 104?\n\"Answer: i**2 - i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.0037 rounded to one dp?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 413, 5, -623 in decreasing order.\nAnswer: 413, 5, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 88654 in decreasing order.\nAnswer: 88654, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c + 16*c - 27*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(50) - sqrt(200)\/sqrt(4))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22114 times -5.2\nAnswer: -114992.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2996 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 589665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(j - j - j**2) + (-3 - 2*j + 3)*(j + j - 4*j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-363)\/(-15) + (-4)\/20 is divided by (182\/(-21))\/(4\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5608*m - 44 = 5586*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736208 divided by -5?\nAnswer: -1736208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:02 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i**2 + 0*i**2 + 11*i**2 - 7*i**2 + 49 - 75 as t*i**2 + c + f*i and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*g + 147 = 570, -5*o - 2*g + 533 = 0. Suppose -3*n - 2*c + 23 = 0, -6*c - 19 = -n - c. What is the remainder when o is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2. Let y(u) = u**3 - 2*u**2 + 10*u - 7. Let i(t) = 6*r(t) - y(t). What is the smallest common multiple of 3 and i(6)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 0 (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 4*p**2 - p. Let n be v(4). Let o = n - -7. Let d(w) = -w**3 + 2*w**2 + 3*w - 2. Determine d(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35501 is divided by 7082?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-479 - -444) + 35 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 2*z**3\/3 - z. Let n(o) = -o + 3. Let c(u) = 2*u - 8. Let m(l) = -3*c(l) - 8*n(l). Give t(m(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.66*25169.\nAnswer: 16611.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 70.66.\nAnswer: -353.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 20\/3. Let x = 11 + -14. Let z = x + 3.4. What is the closest to k in -0.4, z, -2\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.522 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2 - 10. Let v(y) = 4*y**3 + 10*y**2 + 14*y - 4. Let k be v(4). Let g = k + -467. Solve 2*a - 7 = -4*f - g, x*a = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 612894235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + ((2*-2*sqrt(72))\/sqrt(4))\/(2*(-2*sqrt(48))\/sqrt(8)).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 348 + -215. Let l = a + -128. Put -3\/4, -2, l, 4 in descending order.\nAnswer: l, 4, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283186337 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1232969 and 0.3.\nAnswer: -369890.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1886364 and 223\/12810?\nAnswer: 66022740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234371109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 13. Let z be 1 + (-1*1)\/(3\/o). Let w = -211\/60 - -18\/5. What is the smallest value in z, 2\/13, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2600616 - -13?\nAnswer: 2600632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 2. Let j(z) = -3 + 3*z + 1 - 4*z + 0*z. Let n be 11\/(-4) + 102\/136. Let l(g) = -g - 3. Let t be l(-6). What is n*j(x) + t*b(x)?\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000758 rounded to 7 dps?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03237 to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j - 3*j + 2*j)*(0 + 0 - 2*j)*(7 - 1 + 3) to y*j + w*j**2 + x and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9))\/((-8)\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18528770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/8 - (-2)\/(-4). Let f(g) = -g**2 + 8*g + 3. Is 10 a factor of f(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 857*d**3 + 1708*d**3 - 868*d**3.\nAnswer: -17*d**3 - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 3843.5, 6, 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 82\/3 (c) 1\/4 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 5*g + 139 = -a, 2*a - g - 8*g + 188 = -a - 109 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/520 and -21\/10.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 142758212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**5\/30 - v**2. Let s be 4\/10 + (-16)\/(-10). Let n(q) = -q - s*q + 2*q. Give f(n(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4, 3, 7.\nAnswer: -5, -3, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -630*l**2 - 7*l - 8. Let f(c) = -210*c**2 - 3*c - 3. Give -8*f(m) + 3*v(m).\nAnswer: -210*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**2 + 377*o - 42.\nAnswer: (o + 42)*(9*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 4 (c) 3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279426012 to the power of 1\/2, to the nearest integer?\nAnswer: 16716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -399 to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-154)*-98 + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/7)*s**0*s*(s**(1\/4))**(2\/73))\/((s\/s**(-3\/8))\/(s*s**(1\/3)))**(3\/2) assuming s is positive.\nAnswer: s**(18233\/8176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (171\/(1\/(-1)))\/(-1). Suppose -5*i - 500 - 106 = -4*z, 334 = -3*i - 5*z. Let r = x + i. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x**2 - 2*x + 26. Let t(s) = -21*s**2 - 2*s + 36. Let w(u) = -4*n(u) + 3*t(u). Let m(b) = b**2 + 1. Determine 3*m(v) - w(v).\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 12 + 65261*d**2 + 4 + 3*d - 65262*d**2. Determine f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v - v**3 + 0*v + 3*v + v**2 - 4 + 2 to m + o*v**3 + k*v**2 + p*v and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 - 1700*x**2 - 45*x + 15300 = 0. What is x?\nAnswer: -3, 3, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -206, -796, -1788, -3188, -5002, -7236?\n\"Answer: -y**3 - 195*y**2 + 2*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((14400\/(-80))\/(-30))\/(780\/3)).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -m + 13, -m + 9*s = 4*s - 22. What is the remainder when 67 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 4 (c) 352 (d) -0.1 (e) 2\/1719\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8)\/(27\/(-324))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, s: 3, m: 3}. What is prob of picking 1 m and 1 z?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0 + 0*v - 77\/24*v**4 + 59*v**2 + 0*v**3 + 1\/60*v**6 - 17\/10*v**5. Find the second derivative of s(r) wrt r.\nAnswer: 12*r - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 27*x + 1175. Let v be n(50). Calculate the greatest common factor of v and 13675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15916, 31837, 47760, 63685, 79612, 95541?\nAnswer: 111472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 2139850*n**2 - 161*n + 0 - 2139851*n**2 + 0.\nAnswer: -n**2 - 165*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34696 from 176977807.\nAnswer: 177012503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75344610 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6 = -3*r, -x = -3*x - r - 5. Let h be 1\/(-2) + (-6)\/(-4). Let l be -28 + -4 + (-3718)\/(-117). What is the second biggest value in l, h, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 8*o - 14. Let k be r(4). Suppose t + 2*t - 9 = 2*s, -5*t + 31 = k*s. Calculate the lowest common multiple of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {v: 2, f: 3, j: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**3\/3 - m**2\/3 + 25*m\/3 + 25\/3 = 0. What is m?\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193\/84 - -34\/21. Calculate the common denominator of (-81)\/(0 + 0 + 2) and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-34))\/(219\/292)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b88 - -1c7?\nAnswer: 4d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f - 193815 = -22*f. List the prime factors of f.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 105*w**2 + 1198*w - 74. Calculate r(-13).\nAnswer: 4294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170504 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11b6964 (base 13) to base 4\nAnswer: -111011120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 51809409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -76. Let j = 18 + q. Let n = 12.0028 + j. What is n rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29264 is divided by 119?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185160 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -918*z**4 - 40*z**3 - 178*z**2 - 6*z - 368367 wrt z.\nAnswer: -11016*z**2 - 240*z - 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(27) - sqrt(972)) + sqrt(27) + -3) + (4 + sqrt(27)\/(sqrt(9) + (sqrt(9) - sqrt(225)*1)))**2.\nAnswer: 76\/3 + 100*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 76*u**2 - 4*u + 639. Calculate s(76).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 892 + 305. Suppose -3*z = 5*n - g, 4*n + 3 = -1. Solve 0 = 41*x - z*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/21996 and 53\/2109.\nAnswer: 15463188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 divided by 322?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + v**3 - 2*v**4 + (-3*v**2 + 0*v**2 + 0*v**2)*(-4*v**2 - 11*v**2 + v**2) + v**4 - 2*v + 2*v + (2 - 1 - 2)*(-3 + 9*v**4 + 3).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u*u**(6\/11))*u))\/u)**(1\/2)*(u\/((u**(-15)*u)\/u))\/u**31 assuming u is positive.\nAnswer: u**(-162\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 777373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 1)\/(1\/(-1)). Let a(w) = -2*w**2 + 41. What is the remainder when a(k) is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-17 - -12) + (-2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1251191242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 3*u + 7. Let m be p(5). Let j(t) = -t**3 - 3*t**2 - t - 1. Let w be j(m). Solve w*v + 4 + 2 = -g, -5*g = -v - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 36 - (-14 - 0) - 4 - 16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1023 - 520 - 618)*(-1 - 1 - 2*p + 1) - 2*p + 5*p + 2*p in the form s*p + z and give s.\nAnswer: 4327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2 + 67 + 0*v + v - 70. Calculate a(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3, -2*w + z - 13 = -4*z. Let r = 1 + w. What is the units digit of (1\/r)\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 470 - 470.5. Let y = 4.65 - -0.35. Which is the closest to 1\/14? (a) y (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -28320113762.\nAnswer: -28320113761.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from orzzozozfoofoo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -39 (b) 2\/13 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2936*o - 2933*o + 45 = 9*i, 0 = -4*i - 4*o + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2.51, -3, -90, -0.5, -2\/5, -0.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6398, 2528, -5, -6.\nAnswer: -6, -5, 2528, 6398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3442000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.140739 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 11382426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 8:57 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3)*(-72)\/(-60). Solve -4*f + 8 = -n*i, -2*f + 11 = -4*i + f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqddqdhqqdkhddqhdhd. What is prob of sequence dd?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -52*s**2 + 304*s - 220 = 0?\nAnswer: 11\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s**3 + 9*s**2 - 9*s**2)*(4*s + 14*s - 2*s).\nAnswer: -128*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1404 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 13*s**3 - 10*s**2 + 19*s - 7. Let c be k(8). Let m = c - 2215. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16739.\nAnswer: 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-102))\/((-6)\/(-144)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - g. Let i(o) = -9*o**3 + 19*o. Let l(s) = i(s) + 6*q(s). Find the second derivative of l(t) wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 24*h - 2. Let s be 2*(2 - (7\/2 + -4)). Suppose -2*p = -s*z - 2, -5*p - 2*z - 3*z - 65 = 0. Let w be a(p). Solve -w = v + 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22650 is divided by 2830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 394386*m**3 - 2*m - 163980.\nAnswer: 1183158*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*t + 2*t. Suppose -6 = t*m, 0*j + 2*m + 3 = -j. Suppose -2*a + 5*w = -21, -a + 9 = a - w. Solve -a*r + 5*r = -i, -3*i = -j*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 7*r - 15. Let f be w(-9). Let i(b) = -2 + 291*b**2 - 287*b**2 + 0*b**3 - 4*b + b**f. Suppose 0 = z - 6*z - 25. What is i(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 57 = 4*x, -10403*f = 4*x - 10406*f + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 20*y**2 - 6*y + 8. Let p = 16 - 11. Suppose 4 = b, -2*s - s + p*b = -22. Let z(i) = -7*i**2 + 2*i - 3. Determine s*z(o) + 5*d(o).\nAnswer: 2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-1)*(-9)\/6. Suppose -4*r - 10 = 2*a, -a = -b*r - 1 - 19. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g\/g**1*g)\/g)**(1\/27)\/(g**(1\/2))**(-45))**(6\/17))**(-10) assuming g is positive.\nAnswer: g**(-12190\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 2*d**2 + 10*d - 12. Let h be c(3). Suppose -h*m + 0*m = -2331. What is the greatest common factor of m and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g - 4. Calculate n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(-2 + 3 + 0) + (-1 + 5 - 1)*(-6 + 5 - 1))*(0*a**2 - a**2 - a**2).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*4\/((-36)\/9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62749757*g**2*k - g*k + 6986*g - 11*k wrt g.\nAnswer: -125499514*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 98*i + 365. Give b(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12814*u + 5799. Is d(-92) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 4*d - 8. Let r be b(-6). Find the first derivative of -8 + 4 - 5*v**4 + 7*v**r wrt v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - ((0 - -1) + (-3 - -3)). Find the common denominator of (-1 + 1\/y)\/((-216)\/464) and 79\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.286 + 0.014. Let h = f - 4.3. Let n be (-17 - -43)\/(-2 - -3). Sort n, -3, h.\nAnswer: -3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 31305.\nAnswer: 31305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**6\/540 + p**5\/180 - 4*p**3 + 14. Let m(h) be the third derivative of f(h). Factor m(a).\nAnswer: -2*a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4.5. Let p = u - 0.55. Let g = p - -0.35. Is 2 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7635764 + 447383 = 3*a. Suppose -4*g - y = -13215488, -3*g = -0*y + 4*y - 9911603. Let p = a - g. What is p rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 98, 244, 528, 998?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 110*d**2 + 1147*d - 37. Calculate w(-11).\nAnswer: 656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 64*y + 1192. Let h be u(-15). Solve -5*p + 1 = -4*v, 0 = 4*p + h*v - 2*v - 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -n + 44*z - 43*z, 3*n - 5*z = -39 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11010 and 7425878.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maday. Give prob of sequence dma.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2738 is divided by 170.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 1. Let y be 3 - (7 - 0\/(-2)). Let l be -1*(3 + y)*1. Calculate u(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 + 868 = 3*y + 2*f, 3*f = -5*y + 1256. Suppose -z + 6*z = y. Calculate the greatest common factor of z and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -425, 0.5, -2 in ascending order.\nAnswer: -425, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 65*k - 11. Calculate g(2).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(2\/(-10) - 0). Let r = 3 + 3. Let f be 2 - (r\/(-4) - (-1)\/2). Solve -f*k + 4*k - v = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508*c - 2635 = -663*c for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 599.09609 rounded to the nearest ten?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -76358400 to the nearest 100000.\nAnswer: -76400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102584?\nAnswer: 2, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 43. Suppose l = 6*d - d. Suppose -27 = -5*t + 13. Calculate the remainder when t is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*z**2 + 142*z**2 + 143*z**2 + 3*z + 147*z**2 - 3*z + 286*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100349771 - 56741878. Suppose 6*c + 26592077 = -m. Let i be 1\/(-2) + c\/10. What is i rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-77) - 0 - (-23)\/((-506)\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1350?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236320?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -10 + 4. Suppose -5*v = -l*v - 9. Suppose v*s - 7*s + 88 = 4*k, -k - 73 = -4*s. Calculate the remainder when 75 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/12 + w**3\/6 - 2*w**2 - 2*w. Let b be n(0). Sort b, 2, 3 in increasing order.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*k + 20 + 16)*(-17 - 4 + 3) + (2*k - 3 + 3)*(4 - 1 - 1).\nAnswer: 40*k - 702","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5565631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8283509251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:04 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 373380 - 191170625\/512. Find the common denominator of j and 25\/32.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + 20*b**2 - 21*b - 148. Give l(-11).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258885744.\nAnswer: 2, 78680359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-20) + (-34)\/(-5). Suppose -j + 3*a + 1 = 8, -4*j = -5*a - o. Solve -3*v - 6 = 2*s - 5*v, -v = -2*s - j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -2. Let w be (-1)\/(5\/(100\/f)). Suppose -w*m - 32 - 128 = 0. What is m rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4063800146 to the nearest integer?\nAnswer: 63748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -117. Let j = w + 19. Let r = 96.91 - j. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 48722.1.\nAnswer: -243610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 200*j**2 - 574*j - 7159. What is d(203)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 3*f**2 - 2*f.\nAnswer: -f*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(847) + 1 + 4 - (-1*sqrt(847)*-2*-2)**2)*-3.\nAnswer: -33*sqrt(7) + 40632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*t = -19, v = 519*t - 521*t - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0307 and 493.08197.\nAnswer: 493.05127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 - 43755?\nAnswer: -43781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 152*l**2 + 13*l + 49. Let g(o) = -303*o**2 - 24*o - 90. What is 6*g(w) + 11*x(w)?\nAnswer: -146*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.013 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-242)\/(-2310)*-15)\/(2\/14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -140. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -1\/5 (c) 291 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(6*(-5)\/40).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 11:01 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -216201, -216140, -216077, -216012, -215945, -215876?\n\"Answer: n**2 + 58*n - 216260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20234978 = 20*m - 11805022. What is m rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -167\/1466 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12987 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 + -16)*(-9)\/2. Suppose 9*h = 12*h - j. Suppose 2*d - 19 = -5*s, 3*d - 6*d - h*s + 15 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -u - 2*u. Suppose -m + 6*a - a + 95 = 0, -2*a + 109 = m. Let l = m - u. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 3*l**5\/10 - 10*l**4 - 142*l. Find the third derivative of g(y) wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 2:17 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3958 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(2*q**3 + 0*q**3 + 0*q**3).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83741174 by 28358.\nAnswer: -2953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 42*l + 362. Let b be a(-9). Let d = -8 - -3. Let u(y) = 22*y**3 + 16*y**2. Let m(r) = -3*r**3 + r**3 - 5*r**2 - 5*r**3. Give b*m(i) + d*u(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/12 - o**3\/6 - 5*o**2 + 7*o. What is the lowest common multiple of x(-5) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let l(u) be the third derivative of -u**8\/20160 + u**5\/5 + 10*u**2. Let m(c) be the third derivative of l(c). Determine j(m(k)).\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 53404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in 1\/3, -3, 1, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*j**2 + 152\/3*j + 5776\/3.\nAnswer: (j + 76)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1714*h + 648*h = 3295*h + 122108 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-400)\/(-980))\/(-2)*126\/54.\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 11 = 3*f - 2, -9*f + 2*n + 52 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 436597557 divided by 66891\nAnswer: 6527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3684864590 to the nearest one million.\nAnswer: -3685000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -9.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5496, 10145, 14794, 19443, 24092?\nAnswer: 28741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 635*k + 1. Let h(c) = -10*c + 1. Calculate y(h(g)).\nAnswer: -6350*g + 636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - o + 6. Let b be x(-3). Suppose 2*j - 3*j + 2 = 0. Suppose j*g + 205 = -4*t + b, t - 3*g = -27. Round t to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 43995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r - 105. What is u(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j + 38*j**2 - 14*j**2 + 28*j**2 - 151*j**2. Let k(o) = 2*o**2. Give a(k(z)).\nAnswer: -396*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**3 - 7*z**2 - 11*z**2 + z**2 + 8*z**3 wrt z.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5376\/640*30\/(-7) + 0 + -3\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sku when three letters picked without replacement from oiuosok.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**12*b))\/(b**(-2\/5)*b) assuming b is positive.\nAnswer: b**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75185 - 3.\nAnswer: 75182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 930 - 900. Calculate the least common multiple of j and 273.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*k**2 + 11*k**4 + 10*k - 9*k**4 + 14*k**2 + 73*k**3 - 10*k to i*k**3 + g*k + r + b*k**2 + h*k**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787545261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -33 - (-4)\/2. Let q = o - 8. Let i = q - -63. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (708*a - 5931 - 2169*a + 5931 - 6105*a)*(-3*a**2 + 2*a**2 + 0*a**2) in the form p*a**2 + u*a**3 + f + j*a and give u.\nAnswer: 7566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7831*l**3 + 8076*l**2 + 14874818*l + 8 wrt l?\nAnswer: 46986*l + 16152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 193 - -28*(-4)\/16. Round g to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = w - 11, -3*u = 58*w - 55*w + 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-10 + (-242)\/(-24))\/(3\/58) and -31\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 8.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2 - v - 1. List the prime factors of w(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101110101100 (base 2) in base 10?\nAnswer: -35756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14349\/35 + 410. Let c be 1 + (-24)\/42 + (-3)\/7. Is c less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 26*y**3 + 26*y**2 + 23*y - 12. Let s(a) = 9*a**3 + 9*a**2 + 8*a - 4. What is -6*k(r) + 17*s(r)?\nAnswer: -3*r**3 - 3*r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 11 (c) 100 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 13696\nAnswer: 41088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 7*o + 2. Let c be i(-5). Calculate the greatest common factor of 357 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76645*f**2 + 2*f**3 + f - 76645*f**2 - 8*f + f + 6*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6550*q + 6549*q - 3*p + 14, -q + p = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52258 is divided by 186.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -25*s + 52. Let l be t(2). Factor 5\/4*v**5 + 0 + 1\/4*v**3 + 0*v + 1\/2*v**2 - l*v**4.\nAnswer: v**2*(v - 1)**2*(5*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -761902*o**3 - 16*o + 76266162.\nAnswer: -2285706*o**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 + 4171\/(-388). Let y = t - -47\/4. Find z, given that 1\/5*z**2 - y + 3\/5*z = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 619 divide 306900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 878 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + 14\/3. Suppose -y = -v, 0 = -5*v + p*y - 0*y. Suppose -4*n - a + 10 = v, -n + 5 = -0*n - a. Solve -5*f - 6 = -2*h, -n*h + 10 = 2*f + 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z*z**(-2\/3)))\/z))**(-6\/19)\/(z**(-2))**(-3) assuming z is positive.\nAnswer: z**(-122\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (134\/201)\/((-280)\/(-96) - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30212802 divided by 6?\nAnswer: -5035467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10322 (base 4) in base 14?\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21021022 (base 3) to base 4\nAnswer: 1102310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2330 - -22?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*4*(-4)\/(-32). Let q be (0\/p)\/(-3 + 4). Let x(r) = r**2 + 21. Calculate x(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2 - -3)\/(11\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2424 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5 - 314*g**4 - 2*g**2 - 493 wrt g?\nAnswer: 120*g**2 - 7536*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 5*r + 19, -600 = -6*j - 2*r - 612 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673, 1324, 1947, 2542, 3109, 3648, 4159?\nAnswer: 4642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 146 + -136. Let r(y) = 9*y**2 - 15*y + 23. Let a(o) = 5*o**2 - 8*o + 11. Let l(z) = -7*a(z) + 4*r(z). Is 10 a factor of l(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-1 + (-5)\/2). Let d = h - 19\/30. Which is the nearest to 0? (a) d (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0555 + -0.0825. Let r = -3.377 - -3.15. Let w = r - i. Which is the closest to -7? (a) 2\/19 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1393 - -1900. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -18.6. Let m = b - -2.5. Let k = 1 - m. Put -2\/23, k, 4 in descending order.\nAnswer: 4, k, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24 - -5.24. Let b = -6.06 - -0.06. What is the biggest value in d, 2, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1165\/27960*(-48)\/32.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3 + 4*k - 3. Let o be 6\/12 + (-466)\/(-4) + -1. Let q(c) = -113*c**2 + 4 - 4 + o*c**2. Calculate h(q(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 15, x: 3}. What is prob of sequence xx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-4 - -4 - -1) - (-5 + -4)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t - 28. Let m be y(-8). Let o = -24 + m. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0, 127, 1 in decreasing order.\nAnswer: 127, 4, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1) + 1 - -45. Is (-4)\/12*0 + z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*l + 3*s - 9, 2*l - s - 2 = 0. Suppose -l*w = -76 - 36. Suppose w = 3*x - x. Calculate the greatest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**3 - 22*q**2 - 10897*q - 97761. Determine s(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -150. Let a = -70 + r. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - -4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9818074.\nAnswer: 2, 7, 701291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z - 2*z**3 + 4*z - 2*z)*((5 + 1 - 4)*(3 + 2 - 1) - 4 + 5 + 2).\nAnswer: -22*z**3 - 110*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 0.2 (c) 1\/2 (d) -0.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h**2 - 112*h - 415. Give r(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10990749 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**27*f*f\/(f*f**14)*f*f assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 41753963 in ascending order.\nAnswer: -1, 0, 41753963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91.2 + 91.199996897. What is v rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:41 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -250*j + 1511. What is u(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g - 85 = 0. Let b = g - -24. Suppose -6 = 4*d - b*d. 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 are the prime factors of 57367?\nAnswer: 57367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(11 - -2)*1. Let o = 41 + p. Solve 2*l = 5*l + o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 78877 + -a2?\nAnswer: 78795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 1.4 (b) 0.07 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-114)\/18)\/((-2)\/(-4)). Let s = 13 + j. Let -s*h + 1\/3*h**2 + 0 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 12:54 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -387088*v = -387058*v + 1230 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17611 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 158.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 10*w**2 + w + 1. Let p be l(5). Which is bigger: p or 16\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a9 + 3?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -143547787900 rounded to the nearest one million?\nAnswer: -143548000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397648.\nAnswer: 2, 29, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 21050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 21*c + 4. Let u be w(-21). Calculate the greatest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q**(-3\/2))*q)*q*q\/(q\/(q**(2\/37)\/q)*q)*(q**(1\/17))**(-29\/2) assuming q is positive.\nAnswer: q**(-2075\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -2\/303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h - 14. Let o be p(-3). Let c(m) = 117*m + 1. What are the prime factors of c(o)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:10 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11025663 is divided by 250583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*c, 2*c = 5*c + 4*p - 35. Suppose c*i - 10 = -5*m, -m - 8 = -0*i - i. Solve i*h + 2 = -3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:51 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -15. Let h = 2992 - 2992.4. What is the closest to -2 in h, -3, n, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -13*g + 253. Suppose -9 = -g*w + 21. Solve -w*z - 11 = -3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n + 24. Let r be p(-17). Let z = r - -197. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187 + 117. Let l be q\/15*216\/(-84). Let o(v) = -v**3 + 13*v**2 - 10*v - 11. Give o(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 - 2410.\nAnswer: -2411.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) - -1*sqrt(270))*-5)\/((sqrt(66)*1)\/sqrt(11)).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-4))\/(q*q**6\/q))\/(q*q**(-1)\/q*q\/q**(-1\/3)) assuming q is positive.\nAnswer: q**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 + 301 = 5*z. Suppose 3*j + 0 = 21. Suppose 50 = -2*y + j*y. What is the greatest common divisor of y and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.3. Let f = d - 1. Let h = f - -4. What is the biggest value in -1, h, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -2\/2145, -23, -3, -33?\nAnswer: -2\/2145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 108.5 and 3?\nAnswer: 325.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 25*d**2 - 27*d + 6. Let u = -180 + 187. What is the thousands digit of y(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7556 - 5355. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -292*v**2\/5 + 194*v\/5 + 98\/5.\nAnswer: -2*(v - 1)*(146*v + 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -459 - -459. Solve 7*x + 14 + 21 = j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.6 + -5.6058. What is w rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-208) - (72*415\/(-130) - 2). Solve -q*v - 42 = -225*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1696 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -330.6 - -280. Let i = q + 47.6. Let l = -0.36 + 0.06. Which is the closest to l? (a) -0.3 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.9257 + -0.0743. Which is the second smallest value? (a) 3\/2 (b) l (c) -386\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 26 + 0*s + 0*s**4 - 23\/5*s**5 + 0*s**3 - 27\/2*s**2. What is the second derivative of r(c) wrt c?\nAnswer: -276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -77 (b) -1\/3 (c) 5 (d) -0.1 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, a: 2, k: 2, c: 2}. What is prob of sequence aa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5017.8 * -1.2.\nAnswer: -6021.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, m: 2, k: 2, g: 4}. Give prob of sequence ggm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 1\/6, -800, 30, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 250\/(-5)*(-450200)\/5. Round b to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let y = 7 + -5. Suppose m - 4*u - 10 = 0, -2*m + 11 - 1 = y*u. Let g(d) = m*d + 5*d - 4*d - 3*d. What is g(i(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.005 - -0.095. Let m = -34 + 34. Let u = -157\/7 - -22. Put m, k, u in decreasing order.\nAnswer: k, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 2, s: 5, o: 2, p: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11*u**5 + u**4 + 9*u + 11. Let t = 33 - 31. Let j(d) = -5*d**5 - 4*d - 5. Let z(w) = t*h(w) + 5*j(w). What is the second derivative of z(b) wrt b?\nAnswer: -60*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 2*n - n)*(-458*n - 252*n - 2 - 44*n + 96*n).\nAnswer: -1974*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -3*u - 74 + 72, u = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 32*j + 7944. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/436065 and -99\/1862.\nAnswer: 115993290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -5, -2, -9, -19 in ascending order.\nAnswer: -19, -9, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8376615 and 4170699?\nAnswer: 5031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11842491, 11842545, 11842599, 11842653, 11842707?\nAnswer: 11842761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/18)\/((-2)\/3). Let z be (s + (2 - -3))*4. Suppose 3*x - 14 = -z*a + 266, 3*a = -3*x + 207. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + j - 205, -3*w + 115 = -j - 0*j. Suppose c = -2*l + 18, 0*l - l = -3*c + w. What is the greatest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 39. Let y = 82.2 - 82.24. What is the closest to -1 in l, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -3\/2, 7, 1 in decreasing order.\nAnswer: 7, 1, -1\/6, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llllyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -129*g - 220*g - 2094 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2224, -2869, -3492, -4081, -4624, -5109?\nAnswer: -5524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23939 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -458, -450, -442, -434?\n\"Answer: 8*a - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-105))\/((-18)\/180) + 5\/7. Factor i*n**2 - 12\/7*n + 4\/7.\nAnswer: (3*n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -61*h**2 - h - 2. Let z(n) = 67*n**2 + n + 2. Calculate -2*p(c) - 3*z(c).\nAnswer: -79*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202219 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30692.045 - 30692. What is the nearest to h in 0.2, 0.5, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = 190 + 789. Let n = q + 1871\/21. Which is the third smallest value? (a) n (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013801 rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 1, z: 3, w: 3, a: 1}. Give prob of sequence zwz.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as 508.141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -8, -s = h - 3*s + 12. Let q(v) be the third derivative of 1\/120*v**6 + 1\/12*v**5 + 0 + 0*v - 1\/3*v**3 + 1\/6*v**4 + 2*v**2. Determine q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 60 = -280. Let w = -23 - q. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -184 - 42*i + 0*i + 221 - 30*i in the form j + p*i and give p.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 15. Which is the smallest value? (a) -231 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (12 - 0) + -2. Suppose 60 = 8*m - 5*m. Let q be (-5)\/2*m\/(-50). What is the greatest common factor of q and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230531 (base 12) to base 10\nAnswer: -560629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.28 + 7. Let v = d - 0.02. Let n = -48 + 238\/5. Do v and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -519183 (base 11) to base 16\nAnswer: -cb257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -14. Let r be 18\/15*40\/(-12). Which is the closest to -2? (a) g (b) 5\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 911 - 500. Let f = g - 411.00277. What is f rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 6*x**2. Let n(i) = -30*i. Calculate n(a(m)).\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*h = -382*h - 42 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (sqrt(108) + -6*(0 + sqrt(108)) + 2*sqrt(108)*5 + sqrt(108))**2.\nAnswer: 3886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65593571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + 78. Suppose 85*v + f = 87*v. Calculate the smallest common multiple of 3 and ((-5)\/((-75)\/v))\/((-8)\/(-100)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(17)*-6.\nAnswer: -6*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4)**40*z**(-16)*z**(-6))**45 assuming z is positive.\nAnswer: z**6210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 2. Let y(k) = 12*k - 6. Let u be y(m). Calculate the highest common factor of u and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1675 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8333, -32216, -72011, -127712, -199313, -286808, -390191, -509456?\n\"Answer: d**3 - 7962*d**2 - 4*d - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t = -5*w + 4, -t - 2 = 3*w. Suppose -i + 2*s = 3*i - 4, s + 4 = 3*i. What is the least common multiple of i and (t - -1)\/((-5)\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460 = 17*g + 29*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 268745.8 millilitres?\nAnswer: 268.7458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50412046 + -3?\nAnswer: 50412043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 4, u: 3, y: 3}. Give prob of picking 2 y and 1 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 68*l + 108. What is the thousands digit of k(-49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 763*d. Let o(a) = 2*a**2. Determine o(m(j)).\nAnswer: 1164338*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-30))**(12\/11)\/(f*f**(-16))**(-16) assuming f is positive.\nAnswer: f**(-3000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81164312 and 4.\nAnswer: 81164312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 2*r - 2\/3*r**3 - 1\/3*r**4 + 1\/20*r**5 + 0 + 1\/2*r**2. Give f(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300911280?\nAnswer: 2, 3, 5, 631, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 8482?\nAnswer: 169640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/1)\/((-3)\/(-4 + -71)). Let y = -16 - v. Let g be -2 + 7 - y\/3. Solve -s - 4 = 3*l - 6*l, -4*l = g*s - 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 6*l - 2. Suppose 0 = 2*j - 3*j. Suppose j = 3*x + 9 - 36. What is the units digit of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71*o**2 + 102384*o + 2884.\nAnswer: (o + 1442)*(71*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 361939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000029506448 rounded to seven dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/6)*o**(-6))**(-15) assuming o is positive.\nAnswer: o**(155\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*u**2 + 21*u**2 - 108*u**3 + 17*u**2 + 119*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*o**2 - 37*o**2 + 8*o**2 - 15*o**2 - 269*o**2 to r*o + d*o**2 + c and give d.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52213463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*q + 3759 - 3527. Solve q*x + 205 = 221 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35732 - -215.87.\nAnswer: 35947.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8912 is divided by 2225?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 43*g - 17. Let f be w(21). Solve -5*r - 1 = 4*t - 2, f*r = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v - 28*v + 8*v - 30*v - 28*v + 141*v - 48*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 127997\/(-2) - 3\/2. Round c to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from naanknarkaarn. Give prob of sequence rkk.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3724780 is divided by 1013?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 66. Let r be p(6). Calculate the greatest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/8 - 3\/(-12). Let o = c - -3. Solve o*a = a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760 and 980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znu when three letters picked without replacement from {n: 1, r: 1, z: 2, b: 1, u: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**2 + 9*o + 1. Let f(c) = c**2 + 4*c - 5. Let x be f(2). Is s(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576, 573, 570?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/284 and -46\/11.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 + -122. Suppose f = 7*g + 22 - 15. Is g at least 7\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**9*r)\/(r*((r*r\/r**22*r)\/r)\/r))**16)**15 assuming r is positive.\nAnswer: r**7200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32757019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19833639 - 19864953 = -307*g for g.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27792, -55557, -83326, -111099, -138876, -166657, -194442?\nAnswer: -222231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4 - 10*a**2 - a - 2*a + 11*a**2. Let l be n(0). Solve -5*k + 30 = -l*z, k - z + 4*z + 13 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2472 and 3296.\nAnswer: 9888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1894672529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -93*q**2 - 1 - q**3 + 0 + 98*q**2 - q. Calculate i(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**2\/2 + p - 1. Suppose 4 = 82*a - 83*a. Let d(n) = -7*n - 5. Determine a*f(s) - d(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*i + 1 = 0, -4*i = -18*u + 16*u + 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and (66\/9)\/(61\/1281).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Suppose 2 - 6 = j*l + 3*o, 4*l - 12 = -o. Solve q - 5*h + l*h = 1, 4*h + 9 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -7\/5, 5, 0.06, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 444*h - 5463. Determine z(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9771 is divided by 158.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*o - 712 = -250 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -31, -68, -119?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 0) + 13 + 40\/(-4). Suppose -4*o + 45 = o. Suppose 0 = -z + 4*f + 11, -z - 2*z = -4*f - o. Does m = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {q: 4, g: 1, b: 2, s: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 74879791 to the power of 1\/2, to the nearest integer?\nAnswer: 8653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (1*-1*sqrt(432))\/sqrt(9) + 5)*-4)**2.\nAnswer: -384*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, 0.3, -0.1, 39\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 - 14\/(-10). Suppose z + 8 = -3*t, -3*t = 6*z - 9*z - 12. What is the nearest to -0.1 in x, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5430 to the nearest 100.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -15*z**3 - 10*z**2 - 19*z - 15. Let s(g) = -8*g**3 - 5*g**2 - 10*g - 8. Calculate -6*r(l) + 11*s(l).\nAnswer: 2*l**3 + 5*l**2 + 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1851262 or 1851428?\nAnswer: 1851262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -4)*(-10 + (-336)\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (619\/13)\/((-5)\/((-45)\/3)). Let z = t - 143. Which is the third biggest value? (a) -0.2 (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 538. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3082776875?\nAnswer: 5, 563, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*j - 52, 3*j + 3497 - 3527 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.093 + 0.4?\nAnswer: -0.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 11. Is 61 + (v - (-2 - 0)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-10016448.\nAnswer: 2003289.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -931*m + 1000*m + 3800*m + 3546*m to the form n + b*m and give b.\nAnswer: 7415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4559 + 1517 + 1524 - 9527*t + 1518.\nAnswer: -9527*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*g + 60, -3*g - 2*g - 2*h = -90. Suppose -2*x + 6*x = -g. Let u = x - -11. Calculate the greatest common factor of 48 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*h**2 + 577*h - 577*h - 116*h**2 - 174*h**2.\nAnswer: -218*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525088811.\nAnswer: 13, 2393, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 4:07 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j - 5. Let d(k) = 3*k - 9. Let s(i) = i - 2 + 5 - 1 - 8 + 1. Let h(w) = j*s(w) - 3*d(w). Let c(a) = -a. Determine 3*c(n) - h(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 3*s + 2275. Let z be m(0). Suppose -6*v + z = -v. List the prime factors of v.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - -4. Let v = -4.2 + 4. Let m = v + l. Which is greater: -0.3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1122900 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2*sqrt(468) - sqrt(468))**2*-2 - 6*(4*(-1 + sqrt(468)))**2) + 2 + 2.\nAnswer: -45956 + 1152*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/702 and 43\/13068?\nAnswer: 169884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*k + 124. Suppose -5*a + 10*a - 25 = 0. Let p(w) = -w**2 + 6*w + 3. Calculate the remainder when k is divided by p(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, -2\/11, 4, 2\/5 in decreasing order.\nAnswer: 174, 4, 2\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-3)*3\/(-2). Let a be (-2)\/6*15\/5. Let q = a - -9. Solve y = t - q + j, -5*t + 12 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8697 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-63)\/(-21) - ((-2 - -2) + -17).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 + 3 - 3 - 21*f**3 + 36*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:35 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1314 - 1317 - 10*q + q + (1 + 3*q - 1)*(-2 + 1 + 0) + 0 - 5*q + 0 - q + 2*q + 2*q.\nAnswer: -14*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 142. Suppose w = 5*g + 6. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15858 and 6.\nAnswer: 15858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011101110011010001 + -100?\nAnswer: -10110011101110011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188 - -372. Suppose -3*h + i + 23 = 0. Suppose -130 = -2*w - 3*w - 5*y, 4*w = 3*y + h. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-103)\/26)*((-9717)\/(-328) + 15\/40).\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -782*b**2. Let i(m) = -1375983*m**2. What is i(u(h))?\nAnswer: -841446628092*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -906534 > -906553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 13*t + 6. Let m be x(-5). Suppose 709 = 5*a + 159. Let v = a + m. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(4*sqrt(187)*5)\/sqrt(11) + 5 + sqrt(2057) + sqrt(17) + 0 + 3.\nAnswer: -28*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/10 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39439896 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 - 8*j - 5. What is n(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -10 + (10 - 1) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, -0.01, -757.6 in descending order.\nAnswer: 0.4, -0.01, -3, -757.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3256, 2, 43?\nAnswer: -3256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + 5 + -9 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122.3499 - -0.3499. Which is bigger: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9473.705 millennia to centuries.\nAnswer: 94737.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 + 51 - 15 + 8*x**2 - 25 - 13. Let l(a) = 39*a**2 - 7. Determine 7*c(t) - 2*l(t).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 2:20 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-6) + 3\/1. Are q and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1975*k**4 + 1983*k**2 + 18872150?\nAnswer: 7900*k**3 + 3966*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.25? (a) 3 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2\/9, 186, 2, 2\/11?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73\/137 - -129410\/411. Let f = 629\/2 - v. What is the nearest to 1 in f, 1\/12, 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -214, 127, 772, 1715, 2950, 4471, 6272?\nAnswer: 8347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*c**2 - 14*c + 7 + 14*c wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 755728867*i + 543748448 wrt i.\nAnswer: 755728867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(11)) + sqrt(11) + -4.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 118 + -203. Let g = 70 + l. Which is the nearest to -1? (a) -2\/7 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17141*j + 616*j**2 + 17141*j)*(6*j - 4*j - 3*j).\nAnswer: -616*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40971115 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 7, 0.2, 2, 1, 295.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 147.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1510\/11 (b) 32 (c) -1\/14 (d) -3\/8 (e) 27\/7 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 11 = -b, -3*b + 43 = -y - 0*y. Let p = b + -16. Solve p = -4*m - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 73. Let r(a) = a - 7. Let n be r(8). Sort -3, j, n.\nAnswer: -3, j, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1404)\/(-27)*1\/(20\/(-5))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 871607534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3 (b) 24 (c) -0.07 (d) 1 (e) -0.3 (f) -22\/9 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (5 - 2) + -5. Suppose 0 = -k + 2*p + 36, 0 = 3*k + 2*k + p - 136. What is the common denominator of (-7)\/k + (19 - i) and 61\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12\/139 + 913\/695. Is 2 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-892802)\/65674*4\/(-24). Let q = -18\/4691 + s. Calculate the common denominator of ((-261)\/21)\/((-192)\/(-168)) and q.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 3*j - 8*u, -4*u = -446964*j + 446961*j + 30 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)*(-1 - -1). Suppose i = -q - 6 - 4. List the prime factors of ((-3)\/(-1))\/((-3)\/q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -77331*b + 2087957. Give r(27).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*n + 7*x - 392 = -0*n, 0 = 3*n - 2*x + 128 - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*r - 50 - 4*r**2 + 57*r + 224 + 2*r**2 + 57*r in the form x*r + g*r**2 + n and give n.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1105 = -14*z + 967. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 10:51 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935 take away 65051.9?\nAnswer: -60116.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 + -30 + -7 + 0)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1584) + -2 - (sqrt(1584) + ((sqrt(1584) - (sqrt(1584) + ((sqrt(1584) - -1*sqrt(1584))*2 - sqrt(1584))))**2 - sqrt(1584))).\nAnswer: -14256 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 205102 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-4)*(-912)\/380. Solve -40 + 22 = o*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113265 - -113311.961. Let l = y - 47. Let b = -0.03900181 - l. What is b rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730.7026 years to months.\nAnswer: 8768.4312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/5 + 92*g**2\/5 - 312*g\/5.\nAnswer: 4*g*(g - 3)*(g + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -19 and -75\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 48. Let h be c(23). Is 45*((-24)\/(-20) - h) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*p + p. Let k be ((-20)\/50)\/((-1)\/p). What is the tens digit of (-54)\/(-3) - (-6)\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6342 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 294 + -291. Let b(z) = -z**3 - z**2 + 5*z + 3. Let y be b(-3). Which is bigger: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14025 is divided by 583?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - -76. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 40 = -9*a. What is the greatest common factor of a and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**3 + 5*h**2 - 5*h**2 + (-h**2 + h**2 - 2*h**2)*(-3 + h + 3) - h**3 - 8*h**2 + 8*h**2 + h**3 - 2*h**3 + 2*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -23. Let f be (-4)\/z - 876\/(-28). Solve f = -4*o + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i - 14. Let g(w) = -4*w - 35. Let d be g(-10). Let x be r(d). Let l be ((-10)\/(-5))\/(x + 0). Solve l*s - 5*u + 23 = 6*s, s + u - 5 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -5\/2 (b) -69 (c) 0 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50706 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/((-4)\/(-40)). Suppose -z - x*y + 78 = 0, 2*z - 124 - 7 = -5*y. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:06 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 9*d**2 + 7*d - 9. Let q be g(11). Let s = 201 - q. What is s rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d - 488*d**2 - 5 + d**4 - 7 - 2*d**3 + 487*d**2 to j*d**2 + i*d + k*d**3 + c + p*d**4 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/80 and 47\/5140.\nAnswer: 20560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -19*o**3 - 6*o**2 + 13*o + 6. Let u(v) = -v**3 + v**2 - v - 1. Let c(i) = a(i) + 6*u(i). Find the second derivative of c(g) wrt g.\nAnswer: -150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*h - 603 - 9751 = 0. What is the remainder when h is divided by 66?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48214 and 19.\nAnswer: 916066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*q - 9 = -3, -5*q = -25. Suppose 5*l - 4 = 1. Suppose -6 + 3 = -v. Put f, v, l in descending order.\nAnswer: v, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -3, 3 in ascending order.\nAnswer: -3, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/53281150 and 103\/4262492?\nAnswer: 106562300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/4 - 63091*b**2\/4 + 248834838*b - 1741071087 = 0?\nAnswer: 7, 31542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 7*c**2 - 5*c - 6. Let i be z(6). Find the second derivative of m + 0*m**2 - 3*m**4 + i*m**2 wrt m.\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - n - 8 = -28, 4*v - 3*n = 115. Let b be 3 - v - 1*-2. Let w = 37\/2 + b. What is the closest to 0 in w, 2\/13, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4107 * -2.46\nAnswer: 10103.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbttbttttttbtttt. Give prob of sequence btb.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -242.9 and -0.4.\nAnswer: -243.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-204)\/40 - (-10 + 5))*-3912730 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3529617.\nAnswer: 5\/3529617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4432 greater than or equal to -4432?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t - 17. Let z be f(8). Let j = z - 43. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38107, -75086, -112065, -149044, -186023, -223002?\n\"Answer: -36979*i - 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.01 (c) 10 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, -62\/9?\nAnswer: -62\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/8 - 3843717*w\/4 - 14774160376089\/8.\nAnswer: -(w + 3843717)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -36\/11, -4 in ascending order.\nAnswer: -4, -36\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-10) - (-10)\/(-50). Suppose 2*u - p*l + 12 = -0*u, -5*u + 2*l = -2. Is ((-2)\/u)\/(9\/(-4041)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-2)\/((-8)\/(-34)). Let s = 172269\/58814 - 2\/4201. Calculate the common denominator of s and 1\/(-3) + m\/(-24).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 864 and 3159.\nAnswer: 101088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -37*a**3 + 8*a**2 - 2*a - 161. Let y(m) = 37*m**3 - 15*m**2 + 3*m + 161. Let g(s) = -3*o(s) - 2*y(s). Find the first derivative of g(q) wrt q.\nAnswer: 111*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*((5*(sqrt(1573)*2 + sqrt(1573)))**2 + (-4*2*sqrt(1573))**2 + 1)*-4.\nAnswer: -3636784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141569553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 14 = -6*u. Let v = u - 19. Let z = -26 - v. Solve 0 = 3*i - 4*i + s - z, -2*s - 8 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(2\/15))\/((k\/k**(1\/3)*k*k)\/k))\/(k**(-3)\/k*k\/((k**(1\/4)\/k)\/k*k)))\/((k*k**6\/k)\/(k**(-2\/3)*k))**(-40) assuming k is positive.\nAnswer: k**(13687\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -652026 - 4?\nAnswer: -652032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6502 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 1, f: 1, a: 4}. What is prob of sequence fjh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 72. Find the third derivative of d*b**2 - 25*b**5 + 32*b + 2*b**3 - 54*b + 27*b wrt b.\nAnswer: -1500*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4\/3)*q)\/q)\/((q*q\/q**(-3\/13))\/q)*q**(-3\/14)\/q**(-1\/3) assuming q is positive.\nAnswer: q**(-445\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1.02?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2388)\/(-20) - 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 11. Suppose -4*u + 2*x + 44 - 10 = 0, 0 = -4*u - x + 19. Let a be 0 + 2 + (125\/50 - 15\/2). Sort a, u, 4, c in ascending order.\nAnswer: c, a, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -2*(sqrt(77) - 4*sqrt(77)))*2*-3)\/(sqrt(77)\/sqrt(11)*2 + (sqrt(112) - sqrt(112)*-3)).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (25336 + -4)\/6 - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 1. Suppose -c - 2*z + 23 = 0, -2*c + 2*z = -6*c + 62. Let x = c - 8. Solve -u - 14 = 3*f, 4*u - i*u - x*f = 24 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 16*c**2 - 314*c - 403. Give x(0).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 5. Let q = 137 + -133. Let c(g) = -g**3 - 3*g + 6. What is q*x(o) + 3*c(o)?\nAnswer: -3*o**3 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 17 = -4*w, 4*d + 5*w - 99 + 75 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 39715*0.1\nAnswer: 3971.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -11*u**7\/840 + u**5\/15 - 13*u**4\/4 + 27*u. Let i(y) be the third derivative of c(y). Differentiate i(h) wrt h.\nAnswer: -66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4 + 20*f**3 + 45*f**2 - 20*f - 44 = 0?\nAnswer: -2, -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(432) - (2 + sqrt(432)))**2 + 2 - (-1*(sqrt(432) - (sqrt(432) - -2*sqrt(432))) + 5))*1.\nAnswer: -24*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, k: 4}. What is prob of picking 2 z?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**2 + 95*s - 2*s**2 + 15084 - 12495 + 4*s**2 + 3*s**2 wrt s?\nAnswer: 8*s + 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.568 - -1.55. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1100110?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 16*n - 3. Let b be m(21). Let j = b - 100. Suppose 0 = 3*p - 11 + j. Solve -2*g - p*g = -15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 183319.\nAnswer: 183308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43481475 and 308025?\nAnswer: 8325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32986 to 2 decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1534 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170251100?\nAnswer: 2, 5, 1702511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.14 rounded to 0 decimal places?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1206 = 2002. What are the prime factors of q?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-558)\/(-4))\/31)\/(99\/(-11))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.9 times 0.2?\nAnswer: 5.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n - 2084976 = -2084010 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**5 + 2*g**5 + 2*g**5)*(11 - 124 - 43).\nAnswer: -156*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1152? (a) 0.2 (b) 644 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34579 or -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1134 and 55461483?\nAnswer: 332768898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -58, -5, 4 in descending order.\nAnswer: 4, 1, -1, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3894 and 339722.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h. Let n(i) = -201*i - 636. Let c(o) = 25*o + 77. Let k(g) = -33*c(g) - 4*n(g). Determine w(k(a)).\nAnswer: -63*a + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5299 and -168865464?\nAnswer: 168870763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 3457271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20121\/3249 + 3*(-5 + 3) and -7\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-12 - -5) + 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8 - -2.711. Let k = -0.189 - u. Suppose -18*w = -20*w - 2. What is the nearest to k in w, -2\/3, -15\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-438)\/(-180) - (-176)\/(-96). Which is the fourth biggest value? (a) -5 (b) -433 (c) 2\/7 (d) t (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 105, 99, 91, 81?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millimeter in micrometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (22\/(-12) + 2). Let v be (-50)\/(-3)*(-18)\/(-15). Let h be (v\/(-25))\/((-2)\/(-5)). What is the second biggest value in h, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44*48\/(-6072))\/(40\/10).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 4466.\nAnswer: 30\/2233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + (5*-2*sqrt(847) - sqrt(847)) + sqrt(847) + 4*(2*sqrt(847) + sqrt(847) - sqrt(847)) + -2)**2.\nAnswer: 44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 283\/95)\/((-6)\/(-30)). Which is the nearest to -1? (a) -4 (b) 1\/2 (c) x (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -93. Let a be 2*j*(-1)\/(-2). Let z be -5 - a - 0\/1. Solve -z*p - 10 = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/12*(-20)\/(560\/14)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.13 + -3.03. Let f = 30 - 32.7. Let o = f + c. What is o rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7823711708 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -87541058 > -87541057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/4 of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128047813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*u**2 - 2 + 154*u**2 + 22*u**2 as d*u + p*u**2 + k and give p.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11 - 4*j - 2*j + 3*j - j. Is w(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Suppose b - 151*n = -147*n + 14, 5*b + 4*n - 22 = 0. Solve -3*l = -b, -5*c + 9 = -4*l + 17 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*k - 104*k - 36 = 0. Solve -5*c = -2 + k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 72, 12, -194, -618, -1332?\nAnswer: -2408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928*a + 1957*a + 1110 = 992*a for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 35637*p\/2 + 605540.\nAnswer: (p - 71240)*(p - 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = 3*g - 60 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 + -777564?\nAnswer: -777328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(sqrt(171) + 3 + 4)*2*3*5)**2.\nAnswer: 1360800*sqrt(19) + 7128000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t + 150. Let j be q(23). Solve 152*b = 149*b - j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x + 3*p + 26, -x = p + 6. Let m = x + 11. What is the second derivative of 64*k**3 - 60*k**3 + m*k - 2*k - 2*k wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 42*o**3 + 8*o**2 + 22*o + 9. Determine c(-3).\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 870403.2 millilitres to litres.\nAnswer: 870.4032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -518\/16823?\nAnswer: -518\/16823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11301774 by -66.\nAnswer: -171239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 5*k**2 + 3*k - 2. Let s = 0 + 1. Let t = 6 - s. Is i(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 5 - 2, -5 = 2*a - 5*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 - (-87351)\/1782)*2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -283 >= 182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - 3. Let h be ((-7)\/1 - -2)*252\/(-315). Let u(o) = -2*o**2 - 2. What is h*f(w) - 5*u(w)?\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20998498 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 7. Suppose 0*y = -3*g - 4*y + 6, 4*y + v = 4*g. Let m(q) = q. Let f be m(g). Calculate the highest common factor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -4 - (69 - 52)) + -15.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 5*a - 3*a - 39 + 102.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k + 26*k + 316*k**2 + 17*k - 1253*k**2.\nAnswer: -937*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 119749106?\nAnswer: 119749106.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2035 and 50?\nAnswer: 20350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-6)*1*(-33)\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/10 - 7*m\/10 + 9\/5.\nAnswer: -(m - 2)*(m + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.064 + -0.063895. Let p = 0.1 - 0.1. Let v = p + s. What is v rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6454754 is divided by 5672?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 2. Let g be t(-2). Suppose -q + g = 2*q. Let d(m) = -2*m - 1 + 4*m**q + 10*m**3 - 3 - 11*m**3. Determine d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 866*w**3 + 7956*w**2.\nAnswer: -2*w**2*(w - 9)*(w + 442)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**4\/4 + 2*x**3\/3 - x + 34. Let l be s(-1). Let g be (6\/(-44))\/(2\/4). Which is the nearest to -0.1? (a) l (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53108 and 489940.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 93706847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2891557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 + -10375?\nAnswer: -10318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 146\/3212 + (-6)\/(-44).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 7*v - 7. Let t be j(-6). Let p(w) = w**2 + 1. Let b be p(t). Differentiate -17*o**b + 4 + 17*o**2 + 6*o**4 wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/((-24)\/28*19\/(-114))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 4*c**2 - 17*c - 7. Let b be v(-7). Let j be 14\/b - (-906)\/(-10). Let k = j + 157. Calculate the remainder when k is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -26, 0, -197, 2 in descending order.\nAnswer: 2, 0, -1, -26, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -2\/7 (b) -0.4 (c) -0.07 (d) -459 (e) 1\/11 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 12:41 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyddd. Give prob of sequence yd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 2*i**3\/33 + 34*i**2\/11 + 6*i + 1180. Factor n(u).\nAnswer: 2*(u + 1)*(u + 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l*r**4 - 15*l*r**2 + 10*l*r*x**3 - 1713*l*x - x**3 wrt r.\nAnswer: -8*l*r**3 - 30*l*r + 10*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9302582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105894 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + y + 5*y)*(-158*y - 6 + 4 + 165*y) to k + u*y**2 + t*y and give u.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 13. Suppose -17 + 2 = -5*l - 5*k, -2*k + u = -2*l. What is the units digit of (6\/4 + -2)*l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7212208193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -72.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 9:24 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.82093 - 414.61093. Let h = 410 + q. Round h to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 9:35 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbqbbbbbbb. What is prob of picking 2 b?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 79 - 6 = 5*n, -4*n - 68 = 5*p. Let x = n + 12. Let y = -3 - x. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 - 46*f**3 - 126*f**2 - 122*f - 40.\nAnswer: -2*(f + 1)**3*(f + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-3))\/((-9)\/(324\/(-30)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/3, -1\/20017, 13, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 48592932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -154.\nAnswer: -3\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-45)\/(-35)) - 83. Suppose -2*s + 5*g + 385 = 3*s, 4*g - 340 = -5*s. Let h = s + k. Sort -3, h, 5 in descending order.\nAnswer: 5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58 - -3a61?\nAnswer: 3ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (-8 - 13)\/((-2)\/6).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1407*z - 1411*z - 5*n = -148068, -3*n + 185111 = 5*z. What is the ten thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -697*m - 30782. Give g(-44).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06 - 2.14. What is h rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -95552, -98584, -101614, -104642, -107668, -110692, -113714?\n\"Answer: w**2 - 3035*w - 92518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2360 by 59.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = 10. What is the second derivative of -2*w - w - 130*w**x + 123*w**5 - w wrt w?\nAnswer: -140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1.783.\nAnswer: 3.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -661753673+0.08\nAnswer: -661753672.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40166443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r = 5*v - 297, 2*r + 2*v + 214 = 0. Let y be 4\/18 + r\/(-18). Let x be 27\/y*8\/6. Calculate the highest common factor of x and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247 (base 16) to base 13.\nAnswer: 35b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.96 - -0.04. Let l = 5.8 - p. Let x(t) = -t**3 + t + 3. Let q be x(0). Sort 2\/9, q, l in descending order.\nAnswer: q, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12 - 9 = 0. List the prime factors of 280\/32 - a\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 14. Suppose 5*j = 3*n - 0*n - 73, -2*n = 2*j - 22. Calculate the smallest common multiple of n and u(0).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -297960 + 11a?\nAnswer: -297842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {g: 4, p: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*j - 700*j + 4*c + 44 = 0, -36*c - 1 = j - 41*c for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 12:34 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*i = -786, 5*y + 5*i - 587 - 1378 = 0. Let x = -149 + y. Calculate the remainder when x is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 0*j**3 + 3*j**3 - 2*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p**3 - 3*p**2. Let d be w(2). What is the greatest common divisor of 24 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 23 - 2. Suppose 3 = d*o - 11. Let x be ((-20)\/(-5))\/((-6)\/(-9)*o). Solve -z = x*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55d1 - 124?\nAnswer: 54ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5134 and 13892.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2577, -3272, -3927, -4542?\n\"Answer: 20*i**2 - 755*i - 1842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2\/(-4))\/((-15)\/150)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let k(j) = -1 - 55*j + 37*j + 1. Calculate r(k(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-143)\/(-44))\/((-2)\/(-8)). Let h(w) = w**2 - 4*w + 4. Let o be h(4). Suppose z + o = s. Solve -2*n = -5*x - 17, 0 = 4*n - z*x + 4*x - 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(56)*-4*6)\/(4*(sqrt(648)*4 + sqrt(648)) + sqrt(648) + sqrt(648)) + -5)**2.\nAnswer: -160*sqrt(7)\/33 + 29017\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 + -135. Suppose 15 = 3*a, -2*u - 8 + z = -5*a. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2 - 31*b + 54. Let o be n(-17). Suppose g + 5*i - 477 = -3*g, 5*g + o*i - 580 = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -4\/3, -4, 8, 1\/2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*w - 17 + 0 = 0, w = -3. Calculate the remainder when 14 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uussuuurr. What is prob of picking 1 r and 3 u?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (-12 + -20 - -13 - 149).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 243440 (base 5) in base 11?\nAnswer: 6a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, k: 3, o: 4, n: 1, g: 2, t: 2}. Give prob of picking 2 k, 1 u, and 1 g.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 185\/259 - 27\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 + 11*k - 61. What is p(5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -81, -142, -223, -330?\n\"Answer: -w**3 - w**2 - 37*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 119. Let s = -2 - 5. Let y = q + s. What is the second biggest value in 4, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*c**4)*(506*c + 26 - 39 + 10).\nAnswer: -1012*c**5 + 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 3*s + 14. Let r be d(-6). Let h(n) = -n**3 - 4*n**2 - 2*n - 5. Let a be h(r). Let m(c) = 5*c + 8. What is the units digit of m(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlll when four letters picked without replacement from {v: 7, l: 5}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p + 2. Let y(n) = -n**3 + 9*n**2 - 8*n + 2. Let d be y(8). Suppose -d*h - 2*x + 6 = 2*h, 5*h + p*x = 12. Which is smaller: h or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.179904 - 9.18. Round u to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29972 and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3 = -0. Suppose -z*g - 323 + 1879 = 5*q, 2*g + 3*q = 1037. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12011201011020 (base 3) to base 6.\nAnswer: -134535010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 12, m: 4, t: 3}. What is prob of picking 1 u and 1 m?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -70. Suppose -3*l = -2*k - 66, -3*k - 84 = 3*l - 0*l. Let f = -59 - k. Is f < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09097316 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(300)*4)*3.\nAnswer: 123*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2195 divided by -1?\nAnswer: 2195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 774.8 times 4417.2\nAnswer: 3422446.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 23*r**2 - 45*r - 506. Let w be t(-22). Which is smaller: w or 5\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52816 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -58, -222, -544, -1078, -1878, -2998?\nAnswer: -4492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 + -56. Let u = 105 - 69. Suppose -f*b = -u*b. Solve b = 2*a - 4 - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q + 0*q - 8*q + 4*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 18*j**2 + 11*j - 13. Let c be (1 - 36)*(-12)\/(-20). Is p(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*f - 5. Let b(g) = 11*g**2 - 7*g - 2*g**2 + 2*g + f. What is the tens digit of b(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 408 - 162 = 0. Let t = 59 + w. Let y = 5 + -60. Is t at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50975.37 to the nearest ten.\nAnswer: 50980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -16. Let n(s) = -2*s + 48*s**2 + 51*s**2 - 5*s - 98*s**2 + 5*s. Calculate n(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 455?\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ad (base 16) in base 4?\nAnswer: -32231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + j = -j - 175, -t = -4*j + 77. Let r = t - -61. Which is the nearest to r? (a) -0.3 (b) 1\/2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 - ((-3786)\/475 + 0). Let o = -25049\/4275 + g. What is the common denominator of o and 4\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -776*w**3 + 776*w**3 - 74*w**4 + (2*w**3 + 4 - 4)*(-4*w - 2*w + 4*w).\nAnswer: -78*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 21120?\nAnswer: -21032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-261)\/(-348)*1\/((-6)\/(-10)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1228 - -1516. Let p be 17*(8 - 6)*(-17)\/(-2). Is p less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 14*y. What is j(-4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3568630 to the nearest integer?\nAnswer: 1889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 1 (c) -2\/3 (d) 1\/594 (e) -4 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5\/(s*s**(-6)*s)*(s\/s**(4\/5))\/(s\/s**(-6)))**(-3\/10))**(-8\/7) assuming s is positive.\nAnswer: s**(132\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111001000 - -100111101011101?\nAnswer: 100010110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.147 - -0.288453355.\nAnswer: -17.858546645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhgggggiggnhnn. Give prob of picking 1 n and 1 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/3 + 22*h\/3 - 484\/3 = 0.\nAnswer: -22, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - -2) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3411924707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -154898989.5429 - 5\nAnswer: -154898994.5429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 8*y**2 - 224*y - 2418. Determine f(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-9 - -6)) + 4 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202020101200121 (base 3) to base 15.\nAnswer: e268aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + r = 5*r - 5, -35 = -5*g - 2*r. Let p = g + 0. Let i = 180\/869 + -2\/79. Which is the second smallest value? (a) i (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*k - 16, 19 = 5*r - 6. Let b(u) be the first derivative of -1\/4*u**4 - 1 + 2\/3*u**3 + 0*u**k + 0*u. What is the third derivative of b(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 2283.\nAnswer: 18264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = -28*y - 15. Is (y\/6)\/((-6)\/26088) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30118*u**2 + 2494355*u.\nAnswer: -60236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*l*q**3*t + l*q**2*t - l*q**2 + 2*l*q*t**2 - l*t + 164749*q**3*t**2 - 32*q**3 wrt t.\nAnswer: 4*l*q + 329498*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.4 (b) 5 (c) -9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-28)\/(-5) + (-697)\/170.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105660280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*d**3 - 33*d**3 + 13*d**3 + (0*d**2 + d**2 + 0*d**2)*(d - 4*d + d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = g - 187, -2*g + 556 = 14*l - 11*l. Suppose -w - 5*j + 41 = 0, -3*j = -7*w + 11*w - 113. Calculate the highest common divisor of l and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 7 = -27. Suppose 16 + 12 = 4*k - 4*l, 0 = -3*k + 4*l + 26. Let r(f) = -1 - 3 + 2 + k*f - f. Determine r(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -157*v**7\/42 - 13*v**3\/3 - v + 18. What is the second derivative of y(u) wrt u?\nAnswer: -3140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 + (-64)\/(-28). Suppose 5*n = 2*s - 28, g*n - 6*n - 32 = -4*s. What is the least common multiple of 7 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1887 + -3373. Let x = s - -1479.61. Let y = -0.39 - x. Sort -0.1, 0.2, -2, y.\nAnswer: -2, -0.1, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/15)\/(z*z**(19\/5)))\/(z**(-3))**24)**(-6\/11) assuming z is positive.\nAnswer: z**(-2018\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 325\/49, 0.3, 3, 2, -2 in increasing order.\nAnswer: -13, -2, 0.3, 2, 3, 325\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*m**2 + 2*m**2 + 8*m**2 + 4*m**2 + 11*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.3 (b) -0.4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 10. Suppose -8503 = 15*x - 2938. Let b = x - -373. Put -4\/3, b, s in descending order.\nAnswer: s, b, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -33*x**2 - 3999*x + 194. Determine o(-121).\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 + 536 = 2*t - 3*b, 3*t - 1393 = 4*b. What are the prime factors of t?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + 6*(2 + sqrt(2))).\nAnswer: -51 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -2*90\/12. Let s(t) be the first derivative of t**3\/3 - 7*t**2 + 16*t - 11. What is s(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.80988 + 0.04188. What is m rounded to one decimal place?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7257, -14154, -21007, -27810, -34557, -41242?\nAnswer: -47859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 309838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -39898 >= -997464\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -2, -20, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 + -3*(-2)\/(-6). Let i = -43 - -50. Calculate the lowest common multiple of i and 5\/(20\/8) - p.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 5*g**2 + 9*g - 4. What is the remainder when 59 is divided by v(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1669*n**2 - 4*n**3 - 37 - 1709*n**2 + 208*n - 187.\nAnswer: -4*(n - 2)**2*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52045 - 32189. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 1238?\nAnswer: 28474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 26, 3\/8, 1.3, -6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 8*x**2 - 6*x. What is k(-4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/10 and 3\/3 + (-130)\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 292753370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 406, 393, 358, 289, 174, 1?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(-2\/3)*w)\/w)\/w)**9*(w**3\/w)**48 assuming w is positive.\nAnswer: w**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 163*h**2. Let j(r) = 8*r. Give j(b(a)).\nAnswer: 1304*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 298.\nAnswer: 5\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50530816 times 5?\nAnswer: -2.5265408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/(5\/(-40)). Let t be -9*1*6\/(-27). Suppose t*n = 2*p + 222, -2*n + 0*p + 217 = -3*p. Calculate the greatest common divisor of n and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 9 + 0*l + 4 - 2*l**3 + l in the form y*l + q*l**2 + c + d*l**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 92899397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3372 less than -0.4?\nAnswer: -3372.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*c + 2. Suppose 0 = -3*n - 2*u + 54, c*u - 110 = -4*n - 36. What is the greatest common divisor of 160 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 675, 2287, 5429, 10611, 18343, 29135, 43497?\nAnswer: 61939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - -3.02. Let x = h - 2.5. Let n = -85 - -86. Which is the nearest to n? (a) -0.5 (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmkmmmmommkmmkkkk. What is prob of sequence omm?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*(-2 + -2)\/(-8). Suppose o*c - 19 = -f, 5*c + f = 13 + 10. Suppose -c*j + 205 = j. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-184)*343376\/(-150227)?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 151 - 3*b + 2*b**2 + 132 - 298. Give h(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 13 = -v, 3*v - 34 = 2*x + 19. Solve 28 = -v*y + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 669745746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-18)*(-184)\/(-322).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -0.11 (c) 325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k**2 - 21*k**2 + 16 - 8*k + 68*k**2 - 28*k**2 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001553 rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -170*d**5 - 3*d + 4.\nAnswer: -3400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1998422 divided by 48742\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {i: 1, m: 1, q: 1, v: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.11 (b) -4 (c) 2\/19 (d) -3 (e) -1 (f) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 29 + 5*b**2 - 29.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (7 + 5 + -11)) + (-2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 88 = 8*i, -8*i = -4*t + 534 - 494 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - 4*q**2 - 25*q**2 + 13*q - 3*q.\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/21)\/(f*f\/(f*f**(1\/8)*f)))**(-50))**(-5) assuming f is positive.\nAnswer: f**(4625\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2618091 and 1624.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -671*x + 670*x + 86, -364 = -4*i + x. Calculate the remainder when 118 is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/18)*g)\/g*g**(-1\/3))**(-8) assuming g is positive.\nAnswer: g**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 0.4. Let i = 0.75 + d. Let s = i + 5.95. Round s to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -465 - -608. Calculate the remainder when v is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k*k**(1\/5)*k))\/k)*k*k**9*k*k**(-6\/13)\/k*((k\/k**(-9\/2))\/k)\/k)**12 assuming k is positive.\nAnswer: k**(12666\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -4*s + 6, 3*s + 4*u + 77590 = 77601 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*z + 348, -2*z = -5*p + 2*z + 341. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/2*(-1)\/(-1). Suppose i = d - 5*c - 30, -3*d + 34 = -d + 3*c. Suppose -23*o + 21*o = -d. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/5*(-635)\/(-254).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61809 or 1174364\/19?\nAnswer: 1174364\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-6)\/(-152)*11\/(-11)*5\/(-5)\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1776 is divided by 74.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - j + 1067 = 0, 800 = 3*s - 135*j + 136*j. Calculate the remainder when 537 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 5*s + 4*s + (0*s + 2*s - 3*s)*(3 + 5 - 3) + (-2 - 1 + 5)*(0*s + s - 4*s) + (3*s - s - s)*(5 - 3 + 0).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7*n = 50. Let o = n + -29\/3. Which is the closest to o? (a) 5\/3 (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 7.2. Let c = b - -0.189. What is c rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + o = 6, 21 = -3*u + 3*o + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -5, 4, 5, -4831 in decreasing order.\nAnswer: 5, 4, 2, -3, -5, -4831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5381948 divided by -12?\nAnswer: -1345487\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -3\/11, -0.2, -4 in ascending order.\nAnswer: -4, -3\/11, -0.2, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(7\/(-84))\/(2\/(-56))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1446180456426\/23 + -124313672267920983\/1977080. Let h = r + -3\/10745. Let v = h + 118. Which is the smallest value? (a) 3 (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 9*c**3 + 12.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 i when four letters picked without replacement from brrrirbbir.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 29*i**2 - 28*i - 3. Calculate g(28).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.19 + 0.19. Let w be (-3)\/(-2) - (-68)\/24. Which is bigger: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4617\/3243 - (-1)\/(-1). Let y = 24\/47 - s. Is y greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.4, 2, 0.079 in decreasing order.\nAnswer: 2, 3\/5, 0.079, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -5, -3, 0.3, 950, -0.13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 43795, 5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 6612?\nAnswer: 72732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 52*r**2 - 75*r - 238. What is the tens digit of k(-53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2987, -11943, -26859, -47729, -74547, -107307, -146003?\nAnswer: -190629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u. Let o(c) be the third derivative of c**8\/4032 - 37*c**5\/60 + 8*c**2. Let z(m) be the third derivative of o(m). Determine g(z(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626624504*b - 626624504*b + 1023*b**3.\nAnswer: 1023*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1365544 and 3144?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17248557 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2393 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 2, x: 2, g: 3, i: 4, u: 8}. What is prob of sequence ug?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15655*u**2 - 46470*u - 1485 = 0. What is u?\nAnswer: -99\/3131, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byyb. What is prob of picking 2 b and 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = 0. Suppose n = 2*l - 17 - 1. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5073 - 1055. List the prime factors of o.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5963713\/6 + 998029. Let d = h + -4057. Calculate the common denominator of -47\/3 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -13, 0.2, 0, 80\/1119, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-413)\/35)\/(99\/30)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(153) + 5)**2 + (sqrt(153) + sqrt(153)*-3 + -5 - sqrt(153)) + -1.\nAnswer: -175 - 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*f - 93*f + 31*f)*(-3 + 4 + 3).\nAnswer: -216*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57843701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 5*k**4\/12 - 2*k + 129. Let h(t) be the second derivative of -5*t**4\/12 - 3*t. What is n(h(b))?\nAnswer: 125*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2\/3, -4, -1.984, -5 in descending order.\nAnswer: 1, 0, -2\/3, -1.984, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -g - 20, 24 = 5*q + 3*g - 1. Suppose j - 2 = 0, -2*f - 9 = q*j - 49. Solve 4*u = -3*w + 2*w - 15, -2*w = 3*u + f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + -7 - (-118)\/(-8) and 23\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = 0, -30*y + 27*y + 2*c + 5248 = 0. Calculate the remainder when y is divided by 195.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/15*o + 2\/15*o**4 + 0*o**2 - 2\/5*o**3 + 0.\nAnswer: 2*o*(o - 2)**2*(o + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (440 - 2*j**2 + 16*j - 440)*(-2 - 1 + 5)*(-4 + 9*j + 4) to d*j**2 + f + m*j**3 + p*j and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**2*u**3 - 1644*c**2*u**2 + 2*c*u**3 - c*u - 2*c - 158*u**3 wrt c?\nAnswer: -4*u**3 - 3288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j - 30. Suppose -17*u = -19*u + 10. What are the prime factors of d(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 1603984108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47500901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 178*f**2 - f**3 - 193*f**2 + 11 + 365*f**2. Give g(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*h - 333 = -47*h + 39*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2139577, -4279206, -6418839, -8558476, -10698117?\nAnswer: -12837762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 3*n**2 - 3*n - 4. Let c be a(4). Suppose -2*z + 17 - 7 = c. Let o(p) = 37*p + 1182. Let x be o(-32). Sort z, 3, x.\nAnswer: x, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17184 and 250242.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010 - -22?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 7*p - 13. Let b be m(-6). Sort b, -4, -0.4, -2 in increasing order.\nAnswer: b, -4, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g - 5. Let a be w(3). Solve 0 = -5*z - 3*p + 32, -z + a*z + 3*p - 24 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.21 * -1266.5.\nAnswer: -23062.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 3*q + 4. Let r be a(3). Suppose -3*j - 11 = r. Let t be j*(2 + -3) - 3. Solve -t*u + u = -3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*2*5\/(-2). Let a = j + -1. Factor 15*c**2 + 2*c - c**2 - 2*c + a*c.\nAnswer: 2*c*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14680 + 8 + (-8)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 210021222212 (base 3) to base 7\nAnswer: 3364034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 225.2 + -133. Let h = -92 + b. What is the fourth smallest value in 0.1, 1, h, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58726379945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2\/(-5) + 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*n + 35*n + 486 = 0. Suppose x + 214 = 2*x - f, -3*x + 5*f = -638. Calculate the greatest common factor of n and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 177092348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(209) + (sqrt(209) + sqrt(209)*-3*-5 - sqrt(209)) + sqrt(209))\/(sqrt(704)*-4 + sqrt(704)) + -4.\nAnswer: -17*sqrt(19)\/12 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23965\/9 - 23968\/9. Let k = -0.43 - -0.03. What is the third smallest value in 5, k, p, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 208 - 192. Suppose -6*d - k = -d. Let i = d - -48. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -278*b**4 - 668*b**2 - 189*b + 444493286?\nAnswer: -1112*b**3 - 1336*b - 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 2*m**2 - m**2 + 77*m**3 + 38*m.\nAnswer: 77*m**3 - 6*m**2 + 38*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 9*y - 44 = 0, -133108*n + 20 = -133112*n + y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3298899908047 and 4.3.\nAnswer: 3298899908051.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 - 4*o - 2. Let p(a) = -11*a**2 + 11*a + 6. Let c be 1*(-12)\/(-10)*5. Let i(u) = c*p(u) + 17*l(u). Suppose 2*b - 6 = -2. Give i(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 2 - 2)*(3 - 5 + 1)*(5*s + 0*s + 3*s)*(2*s**2 + 3 - 3) as x*s**4 + n*s**3 + t + c*s + k*s**2 and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {w: 3, i: 13, y: 3}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p**2*y - 149878266*p**2 + 57188*p*y**2 - 149*y**2 wrt y?\nAnswer: 3*p**2 + 114376*p*y - 298*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 130 - 146)*((-4*c + 0*c + 2*c)*(-21 + 11 - 12) + (-3 + 4 - 2)*(c - 3*c + 0*c)).\nAnswer: -8326*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 7 + 6)*(-r**3 + r**3 - r**3) to the form c + z*r**2 + g*r**3 + w*r and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5317548 is divided by 323?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -876 + 527. Is x >= -348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.11351 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1715 + 17169\/10. What is the common denominator of 123\/10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -3369.\nAnswer: 4\/1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) -0.13 (c) 0.071 (d) -1 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + z - 150, -4*z - 115 = -3*d - 6*z. Suppose 25 = f - d. Suppose f + 114 = 2*y. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 z, and 1 t when four letters picked without replacement from zctzzxtdxgzzc.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/5 + 2316\/(-180)*21. Let w = x - -282. Let p(a) = -a**3 + 11*a**2 + 13*a - 13. What is p(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/120 + 2*w**5\/15 + 3*w**4\/8 - 5*w**3\/6 - 5*w**2. Let y be h(9). Let t(i) = -3*i**3 - 5*i**2 + 8*i + 4. Is t(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwwa when four letters picked without replacement from akwkakbhhafk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*w + 6. Let o be (-18)\/w - (-3)\/(-6). Let l(r) = o + 2*r - 3*r - 2. Determine l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - t**3 + t**3)*(-3 - 3 + 4)*(3 - 31 - 47)*(2 + 3 - 3)*(-3*t + 4*t - 2*t).\nAnswer: 300*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60481, 60484, 60487, 60490, 60493, 60496?\nAnswer: 60499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 514634, 514608, 514572, 514526?\nAnswer: 514470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 166 = -z + d, -5*z + 2*d = -848. Round z to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-8)\/10)\/((-28)\/(-70))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqybbbg. Give prob of sequence bq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 3, -326*g + 0 - 3 = -2*f - 329*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13578 and 8468?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 + 932*m**2\/3 - 2794*m\/9.\nAnswer: -2*m*(m - 1397)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 391 - 393 = 2*h, 21 = h + 5*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 25 + 135 = 4*f, -4*f + 5*h = -158. Let d = f + -40. Calculate the highest common divisor of d and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8984\/48 - (-10)\/(-60). Let x be ((-5)\/2 - -3)*84. Suppose 13 = 5*l - x. What is the highest common divisor of l and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:52 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*z - 449 - 9955. Let n = -804 - z. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and 705426?\nAnswer: 705425.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*l**6 + 165*l**4 - 47*l**3 + 390268*l**2.\nAnswer: 7920*l**3 + 3960*l - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2281*t + 1742*t + 498*t + (-t - 3*t + 5*t)*(-1 + 3 - 4) as b*t + s and give b.\nAnswer: 4519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 10. Suppose -2*i + 2 = 12. Let g be y(i). Suppose 6 + g = z. Solve -4*m = 5*b + z, 3*m = b + 5*m + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.16 less than -2\/199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.5, 651, 2, -5, -6 in decreasing order.\nAnswer: 651, 2, -0.5, -2\/3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(2\/(-5)*270\/180).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6274*k - 24 = 3*w - 6275*k, 11*w + 65 = -4*k for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*d**4 - 17*d**2 - 12*d**2 + 56*d**2 + 34*d**2 wrt d.\nAnswer: 2304*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 2*w + 1. Let p be l(3). Let u = p + 9. Let c(q) = q**3 - 8*q**2 + 7*q + 10. List the prime factors of c(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/13 - -1\/39. Let u = -16 - -31. Let k = -15 + u. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -10901\/175?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183688.\nAnswer: 2, 22961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:07 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -52. Suppose 2*c - 4*r = -64, 5*c - 2*r - 38 = -166. Let i = t - c. Solve 0 = 3*w + 2*f + 23, 2*w + i = w - f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4130 - 4235.65. Let s = 107 + r. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = 7. Solve 0 = -h + 1, -4*j - 2*h = -7*h + w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120466848 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - t + t)*(-1 + 1 - 4*t) - 13*t - 2*t**2 + 17*t - 12*t to the form k + b*t**2 + w*t and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35881\/10 + -3597. Let a be (2 - 1 - 203)*7. Let c = a - -4286\/3. Find the common denominator of v and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 8*r**2 + 13*r + 10. Determine u(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17756000 rounded to the nearest 100000?\nAnswer: -17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 9. Let q be 27\/18*r\/2. Calculate the greatest common divisor of q and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.108 (b) -1 (c) 0 (d) 6.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 1 t when three letters picked without replacement from {e: 3, f: 1, s: 1, h: 4, t: 2, j: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v - 636 = -40*v - 51*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/60 and 89\/32240?\nAnswer: 96720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/43209789 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = -v + 2*v, 2*w = 3*v + 12. Let x be v\/(-8)*430 - 2\/4. Let z = x + 51. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from paapapapaapaw.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r - 44 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -299328841 and 6.\nAnswer: -299328835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3*f**3 + 6*c**3*f + 151932440*c**3*h - c**2*f**3*h - 5*c*f**3 + 51242*c - 23*f**3 wrt h.\nAnswer: 151932440*c**3 - c**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6, t = -20*p + 24*p + 475. Let a = t - 470. Calculate the greatest common divisor of a and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65551136 a multiple of 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 11) to base 9.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10784, -21600, -32416, -43232?\n\"Answer: -10816*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 + 21\/28 - 4305\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88a42 (base 15) in base 11?\nAnswer: 27733a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -43, -2\/13, -2\/317, 9, 4?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -8, -3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1267 - -1759. What are the prime factors of s?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-4 + 2 + 6)*(-2*o**2 + o**2 + 1 - 3).\nAnswer: 8*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -0.4 (c) -29 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 55239 = 5*i, -5*i - 13432 = 4*b - 68675. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i = 46*i - 157332. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z + 2 + 5*z**3 + 19\/2*z**2. What is the second derivative of a(g) wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 8. Let w(u) = u**2 - 4 - q*u - u + 7. What is the units digit of w(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, i: 7, x: 2}. Give prob of picking 1 j and 2 i.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 113\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1290835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 146 (base 12) to base 13\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 455*l + 138*l - 1779. Which is the nearest to 15? (a) -41 (b) l (c) -1\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:51 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2 + 11*v**2 - 6*v**2 + 2*v**2. Let r(y) = -13*y. Calculate r(z(s)).\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*q = q, 0 = 2*o + q - 33. Suppose -5*d + 65 = 3*h, d + 3*d - 5*h = o. Let m(x) = 3 + 28*x - d*x - 17*x. Give m(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35949780*i - 17974893*i - 17974887*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 1705?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 908 = 2*a + a, 1766 = 2*i - 4*a. Suppose 0 = -c + 1828 + i. Let x = -1514 + c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (198\/(-8))\/(-9) - 3. Let s(t) = -t**2 + 9*t - 8. Let d be s(8). Let f = d - 4. Is w less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*h**2 - 129*h**2 - 111*h**2 - 92*h**2.\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 0*t**2 + 0 + 0*t**3 + 15\/4*t**4 + 0*t**7 - 13*t - 3\/8*t**8 + 0*t**6 + 0*t**5. What is the third derivative of f(z) wrt z?\nAnswer: -2520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712656 is divided by 30976?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(((25769\/438)\/(-353))\/(-2*(-5)\/12))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 13*j + 1. Let r(i) = 2*i**2 - 12*i + 2. Let a(p) = 4*b(p) - 5*r(p). Find z such that a(z) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1222, 2442, 3658, 4870, 6078, 7282, 8482?\nAnswer: 9678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*t + 14, 0 = -2*u + 9*t - 10*t + 13. Suppose 4*a - 535 = -4*h + 277, 0 = u*h - 20. What is the remainder when a is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56549896 a multiple of 694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*d = -3*n - 12, -n - 11 = 5*d. Let w = 123 - -459. Let a = w - 587. What is the nearest to 2 in n, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -2*g - 27. Let j = g + 18. Let d(a) = -5*a - j*a + 9*a. Let h(k) = -2*k**2. Give h(d(m)).\nAnswer: -242*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*q + x, 2*x = -8*q + 11*q - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 3. Suppose -4*z - 1435 = -c*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21825, 21826, 21827, 21828, 21829?\nAnswer: 21830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6827*a + 23*a**2 - 13650*a + 6810*a)*(3*a + a**2 - 3*a).\nAnswer: 23*a**4 - 13*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 6702, 0.08, 32, -5, 2?\nAnswer: 6702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 443122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(405)*2*-5)**2 + 5 + 1).\nAnswer: -243036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-126))\/((64\/28)\/(-4))*2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 o, and 1 i when three letters picked without replacement from oinonfobnnif.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.4 or -17.2?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q**2 + 7. Let j(c) = 12*c**2 + 6. What is -6*i(t) + 7*j(t)?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 12:02 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-1880*i**4 + 4242*i**4 - 1700*i**4) as z*i**4 + r*i + g + o*i**3 + h*i**2 and give z.\nAnswer: -1324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 91, 1490, 5437, 13210, 26087, 45346?\n\"Answer: 213*l**3 - 4*l**2 - 80*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(((-8)\/3 - -1)*((-22770)\/(-575))\/(-33)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -12198\nAnswer: -1219.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 0 - (0 + 0). Find the first derivative of -1 + 3 - 3*d**c + d**2 wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.166 - 9602123\nAnswer: -9602123.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 = 90*l - 89*l, -37*j - l = 186 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**3 - 7*p**2 - p + 3. Let q = -76 - -69. Let l(j) = 7*j**3 - 6*j**2 - j + 2. Give q*l(w) + 6*m(w).\nAnswer: -w**3 + w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-16))\/(2\/(-16)*1). Let o be ((-1510055)\/t - 5) + (-2)\/4. What is o rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -21*x + 589. Determine g(24).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**4 + 4505*o**3 + 1198395*o**2 + 77511295*o - 418082600 = 0.\nAnswer: -401, -104, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 2, e: 1, u: 4}. What is prob of picking 3 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16724, -133673, -451096, -1069229, -2088308, -3608569, -5730248?\nAnswer: -8553581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q - 3*r + 78 = -86*q, 3*q + r = 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136386.\nAnswer: 2, 568193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - 200 = 46. Let n(w) be the first derivative of v + 0*w**3 - 1\/10*w**5 - 5\/16*w**4 + 1\/2*w + 5\/8*w**2. Find f such that n(f) = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111)\/15 - (64 + 15087\/(-235)).\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -370 - 46. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-75)\/35 - 5\/(-35). Let c be k\/(3*(34\/(-30) - -1)). Suppose 6*d = 2*d. Solve -z + c = -d*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 940*v + 877*v + 4197*v + 735*v as x + c*v and give c.\nAnswer: 6749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 - 10164*o**3 + 20301*o**2 + 50808*o - 60948 = 0 for o.\nAnswer: -2, 1, 3, 3386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - -1 - ((7 - 8) + 25 - (-24 + 52)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202*z**2 + 123*z - 123*z)*(1 + z**3 - 1) + 13*z**5 - 11*z**5 + 0*z**4 + 11*z**4.\nAnswer: 204*z**5 + 11*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3520) + 1*sqrt(3520) + sqrt(3520) - sqrt(3520) - sqrt(3520))*-2)\/((sqrt(60) - 3*sqrt(180)\/sqrt(3))\/sqrt(12)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/10 and 19\/30042.\nAnswer: 150210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 222, 322, 420, 516, 610, 702?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/23))\/(k*k**(2\/7)*k))**34 assuming k is positive.\nAnswer: k**(-7514\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 1, d: 3, z: 4, k: 4}. Give prob of sequence vd.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-3))\/((-38)\/(-57)). Find the common denominator of -107\/24 and ((555\/(-6))\/5)\/a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/24 and -37\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 240293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-7)\/21*9)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-221960)*-179)\/(((-7)\/(-16))\/1)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**3\/4 + 157673*i**2 + 12402487*i\/4 + 3994009\/2 = 0.\nAnswer: -210211, -19, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzxzrxzczczczczzcx. What is prob of sequence crz?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1*(-3)\/(-1) - (-97 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6)*18\/(-4). Let x be k\/(2 + (-62)\/4). Sort 5, -2, x.\nAnswer: -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**43\/((t\/t**(-1))\/t)**(2\/89))**(-50) assuming t is positive.\nAnswer: t**(-191250\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwjumjmmw. Give prob of sequence mu.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4802*f - 4. Let w be j(2). Round w to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144860000 rounded to the nearest 1000000?\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*q + 37103 + 110895, 10 = 5*c. Round q to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-10 - -9 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243846600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 50. Let n = -32 - x. Let p(d) = d + 1. Let h be p(n). Which is the second smallest value? (a) -1 (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -12*t - 15, 2*a + 7 = -3*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*x + 105, -x - 2*v + 29 - 1 = 0. Solve 19*c = x*c - 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 4 - 14 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - 2 - 5*p**2 + 4 + (48 - 86 + 44)*(7*p**2 - 63 + 63).\nAnswer: 40*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 22*v + 4. Let u(y) = 22*y + 3. Let n(p) = -3*k(p) + 4*u(p). Let l(s) be the first derivative of 194 + 0*s**2 + 0*s + 2\/3*s**3. What is n(l(o))?\nAnswer: 44*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 145926584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*u - 0 + 2, -22 = -u - 5*b. Suppose -u*r + 6 = r, -3*r = -2*w + 126. Calculate the highest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 43 = -8*g, 5*g + 193*j - 363*j = -175*j + 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088.3157 rounded to the nearest integer?\nAnswer: -1088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - s - 77. Determine h(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9695, -38813, -87347, -155285, -242615?\nAnswer: -349325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -11. Solve -9 = -d*r + r + y, 2*r - 2 = -2*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4*t - 5*b = 0, 0 = b - 2*b + 3*b + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 22 = -2*h, -23 = -2*t - 8*h + 11*h. Let p be (t\/2)\/((-2)\/(-8) + 0). Solve -p = -4*w - w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.121733289 and 56.\nAnswer: 55.878266711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2323977949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/56 - 12\/(-21).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/(-2) - (-13)\/26. Suppose 11*l - 296 = 45. Calculate the least common multiple of l and k\/(-8) - 185\/(-20).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 4. Let t be g(-3). Let b be (0 + -1)\/(0 - t). Let r = 83\/100 - 2\/25. Is r less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/26650 and -27\/205?\nAnswer: 26650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4102103*f**3*w**2 - 2*f**3 - 4*f**2*w - 9*f**2 - 4*f*w**4 - 2*f*w + 65151*w wrt w?\nAnswer: 8204206*f**3 - 48*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 13*z**2 - 94*z + 2. Let o(q) = 21*q**2 - 93*q + 3. Calculate 3*i(s) - 2*o(s).\nAnswer: -3*s**2 - 96*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/7))**46)**23 assuming h is positive.\nAnswer: h**(4232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 + -36. Suppose -5*v + 3*r + r - 4 = y, -4*v - 5*r + 5 = 0. Suppose 2*f + 5 = 3. Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21202.78 rounded to the nearest 100?\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-7 + 7 + -8 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, h: 7}. Give prob of picking 2 h.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(16\/(-5)) - 550\/8. Put j, -16, -3 in increasing order.\nAnswer: j, -16, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.88 - 12.17. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6739*r**2*v**2 + 668*r**2*v + r**2 - 7*r*v + 37*v**2 + v wrt v.\nAnswer: 13478*r**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 832?\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8826089 - -5?\nAnswer: -8826084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9772867.\nAnswer: 13, 751759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 19, d: 1}. Give prob of picking 1 d and 3 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 2\/5 (c) -0.07 (d) 16\/5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13180, -13178, -13166, -13138, -13088, -13010?\nAnswer: -12898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v\/(v\/(v*v**(-9\/4)))*v))))\/(v\/(v\/(v**24*v)))*v**(-35\/2)\/(v*v**(-7)) assuming v is positive.\nAnswer: v**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -441 (b) -2 (c) 2\/3 (d) -14 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 6*j - 4. Let s be x(-7). Suppose w + 4 = -5. What is the remainder when 11 is divided by s\/3*-3 - w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*c - 3*c - 15*c)*(1 + c**2 - 1) - 2*c**3 - 2*c**3 + c**3 to l + q*c**2 + d*c + j*c**3 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {u: 1, q: 3, h: 3, y: 7}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**2 + 3998 + 2*h - 3998 - 3*h - 3*h.\nAnswer: -17*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-144)*-2*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -126*x + 18. Let h(z) = 1440*z - 200. Calculate -4*h(v) - 45*i(v).\nAnswer: -90*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - -4. Calculate the remainder when c is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-7 + 2\/(-1)). Suppose 0 = -4*l - 4*u + 36, 2*u + 3*u + s = -l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4613, 9231, 13847, 18461?\n\"Answer: -c**2 + 4621*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 - 1303\/9. Let f = 4509085\/8 + -567441. Let x = f + 3800. Calculate the common denominator of m and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2301 and -17?\nAnswer: -3.9117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - -0.19. Which is the second smallest value? (a) 2 (b) -0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2965 + 191*p**2 + 2965 + (2 + 4 - 4)*(2*p - 2*p - p**2) - 2*p**2 + p - p - p**2 - 4*p + 4*p)*(3*p - 6*p + 2*p).\nAnswer: -186*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83503*l**5 - 32040*l**2.\nAnswer: 5010180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = -10. Let a be ((-2)\/(-6))\/(1\/3). Let i = a - 4. Sort i, t, -4 in descending order.\nAnswer: t, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1584, 343, -7 in decreasing order.\nAnswer: 1584, 343, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + (-144)\/(-20))*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 29 = 2*w, 23 + 22 = 5*n - 5*w. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118372 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 736.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.77 and -0.717.\nAnswer: 5.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/120 + i**5\/6 + i**4\/2 + 11*i**3\/6 + 94*i**2 - 3*i. Determine y(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u. Let l(b) = 15*b**2 + 36*b + 11. Let g(i) = f(i) + l(i). Calculate the remainder when 44 is divided by g(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95973 is divided by 1263?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 1. Let m = -140 - -164. Let z(t) = 8*t**2 - 12. Determine m*l(x) + 2*z(x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-203)\/(12\/40*(-8)\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4482409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-128)\/20)\/(-2) - (-2)\/90*-9. Solve 0 = j*c - 313 + 337 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -211 - 2308*k**3 - 109 + 320 + (-3 + 3 - 2)*(-5*k**3 + 0*k**3 + 3*k**3).\nAnswer: -2304*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258480 divided by -4308.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151612 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 + 305634904*i + 5838293408943076 = 0. What is i?\nAnswer: -38204363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 433*c**3 + 7*c**2 + c + 1. Give o(-1).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -15. Suppose -4*g + 26 = -5*b, 5*b - 7 = -5*g + 3. Let a be 4\/16 - (-38)\/(-24). What is the third smallest value in a, b, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r + 40. Suppose 0*m + m = 0. List the prime factors of v(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -38, -5.06, 1\/53, 0.5, -1?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l - 5*l = 215 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1795 and -6?\nAnswer: -10770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 29*w + 630 = 0. Calculate the greatest common factor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.117 (b) 2 (c) -3 (d) 0 (e) 0.2 (f) 172\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/7 - 54*p**4\/7 + 4*p**3\/7 + 108*p**2\/7 - 2*p\/7 - 54\/7 = 0 for p.\nAnswer: -27, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j + 1. Let s(p) = p**3 - 5*p**2 + 3*p + 5. Let l be s(4). Suppose 0 = -2*w - 2*w - 8. Let m = l + w. Calculate v(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 3, u: 1, x: 2, y: 2, k: 2}. What is prob of picking 1 z, 1 y, and 1 u?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 14 - 14 + (-1 + 3 - 5)*(-1 + 3*o + 1).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4 - 6. Suppose 9*d + q - 63 = 14*d, 4*d + q = -54. Let w = m - d. What is the remainder when 11 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5518231 + -278.\nAnswer: -277.4481769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 8. Find z such that 38*z**4 + 4*z**y - 18*z**4 - 24*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 666.\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -636?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86628591 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 - 180*c - 1277. Calculate o(-36).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 830 = 346. Let s = 200 + a. Solve -2*b + 10 = -l, -9 = b - s*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2609 + -2595. Solve -x*l = -5*l - 11*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -123, -150, -169, -180?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 39.1.\nAnswer: -156.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -54*u**2 + 102*u**2 + 9*u + 186 + 498 - 47*u**2. What are the prime factors of x(0)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (18 - 0) - (15 + -17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1542.912 - -1543. What is the third biggest value in u, 1, -0.1, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436262229.\nAnswer: 1436262229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lklb when four letters picked without replacement from {b: 5, m: 3, k: 1, l: 2, e: 1}?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1862223\/401 or -4644?\nAnswer: -4644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*s + 470 + 520 = 253 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b + 347?\nAnswer: 2b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/150 and -107\/1200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656 is divided by 329.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.180756 to 3 decimal places.\nAnswer: 0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Suppose k = -3*y + 2*y + 5. What is the third biggest value in y, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*20\/3 + -2. Let j = y - 17. Let -3*f - 3*f + f**2 - j + 4*f + 2 = 0. What is f?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-185)\/20)\/((-1)\/4). Let h = m + -15. Let s = -1 + h. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -13427, -14.\nAnswer: -13427, -14, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/3 - 2\/(-6). Suppose 3*b - 35 = 5*r, -25 - 5 = -2*b + z*r. Suppose -2*c + 7*c = b. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10911.513 + 10899. Round u to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 + 208. Let j(x) = x**2 - 3*x. Let s be j(3). Let o(c) = -c**3 - c**2 - c - 1. Let l be o(s). Sort l, -6, d.\nAnswer: -6, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6073*b**2*y - 9*b*y**3 + 529*y**3 - 64*y**2 wrt b.\nAnswer: -12146*b*y - 9*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3746\/55?\nAnswer: -3746\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + t**3 - 2*t**3)*(-2 - 3 + 4)*(-17*t - 187 + 187).\nAnswer: -51*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 1:30 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 + 2122*y + 6376. Give u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 25032286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 g when three letters picked without replacement from {v: 2, g: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 15) to base 2\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4898, -4893, -4874, -4835, -4770, -4673?\nAnswer: -4538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.9 + 1.9. Let v = -24 - -9. Let u = v - a. What is the third smallest value in 1\/6, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2 - 2*c**3 + 4 + 0*c**3. Let y(p) = -p**2 + 2*p - 2. Let s be y(2). Calculate the remainder when 28 is divided by l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 15*t + 30. Let o be p(-13). Let x(h) = 1 - h - 17*h**2 - o + 18*h**2. What are the prime factors of x(-8)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8*k - 300 = 4*k, 0 = g - 3*k - 60. Let l = 73 - g. Calculate the highest common factor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*t + 14. Let r = -13 - t. Solve -2 - r = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {w: 5, n: 13}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49397958 less than 49397956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182492062 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10031*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*j = 175*j - 15196 - 2084 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114051 and -4.\nAnswer: -456204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3.6. Let f = 0.36 - 0.66. Put -1.8, r, f in descending order.\nAnswer: r, f, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 135240007 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvoavobnbnn. Give prob of sequence nb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19945310.\nAnswer: 2, 5, 7, 11, 25903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -17*j + j + 2 + 10*j + 9*j. Give g(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 m when four letters picked without replacement from jfqxqqmmqpqjqpxpjq.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -15, -4*o + 9785 = -d + 6*d. Round d to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 80 = -0*b. Suppose 4 - b = -2*x. Solve v = -3*a - 8, -x*v + 6*v - 32 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 2*g**2 + 3*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -163 - -156. Let f(h) be the second derivative of -h**5\/20 - h**4\/2 - h**3\/6 + 4*h**2 - h. Is f(d) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*u**4*x*z + 3*u**4*z + 4*u**3*z + u**2 - u*x*z - 72*x*z - x wrt u.\nAnswer: 168*u*x*z + 72*u*z + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -0.3 (c) 1.5 (d) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2141 and -5?\nAnswer: -10705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120101101210 - 10?\nAnswer: 1120101101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27789232 divided by -4?\nAnswer: -6947308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*f**5*x + 115*f**3*x + 26*f**2 + 34*f*x - 834*f - 18*x wrt f?\nAnswer: -220*f**3*x + 690*f*x + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2260*x + 25. Let f be r(-6). Is (0 + -1)\/(5\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from uhhhujhuuh.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = -14*m + 20*m. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:54 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + (-4 - (19 - (-10 - -14))) + -1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 90 = 4*q, -r - 2*q + 15 = -15. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:32 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 3 - 1191*b + 5 + 5 + 1193*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, -2, -1\/3 in increasing order.\nAnswer: -11, -4, -2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 6*o**3 - 3*o**3 + (2*o**2 + 0*o + 0*o)*(-211*o + 84*o + 140*o + 7).\nAnswer: 30*o**3 + 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3266633 divided by 1223?\nAnswer: -2671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1351, -3816, -6287, -8764, -11247, -13736, -16231?\n\"Answer: -3*f**2 - 2456*f + 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13836317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1019 - 976) + (-3 - 90)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13393966686.9969 - -13393373988. Let h = -592736 - r. Let u = -37 - h. What is u rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = m - 5*f, -18 = -2*m + f + 570. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2. Let f(v) = -3*v + 2. Let z(j) = -7*j + 5. Let b(n) = 5*f(n) - 2*z(n). Determine d(b(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 10, -4, 4, -3, 18\/7 in ascending order.\nAnswer: -4, -3, 0.1, 18\/7, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15634 - 49362 = -186*u - 806*u for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33 + 2 + 14)*(0*o**3 + 2*o**3 + 4*o**3) to k*o**2 + d*o**3 + c*o + b and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 86*y + 4888. What is k(-39)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96899 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.63082 + -0.63. What is d rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4428 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6200.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 10*u - 181 + 181.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3769 - 509 = 10*n. Let c = -218 + n. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 304 and 20064.\nAnswer: 20064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 182*u**2 - 181*u**2 - 1 - 6 - 3*u + 0*u. Let c be w(-2). Suppose c*y + y = 2*i - 2222, -4465 = -4*i + y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 1:38 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3376191 is divided by 568.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.021611 micrometers in centimeters?\nAnswer: 0.0001021611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 12. Let z(b) = 2*b - 3. What is z(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) 3\/19 (c) 143 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 294, -248, -1098, -2256, -3722, -5496, -7578?\nAnswer: -9968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 149660 divided by 4\nAnswer: 37415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2127030 and 10635150?\nAnswer: 10635150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 3 - (8 - 2) - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 695304424 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 513 and 2.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6708348 or 6708351?\nAnswer: 6708351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-225)\/(-200)*(156\/(-99))\/26.\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3265*t**2 + 6699*t**2 - 3436*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a + 8c?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6419428845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*t**4 + 2*t + 2*t - 2*t + (0*t - 3*t + 0*t)*(2*t**3 + 2*t**2 - 2*t**2) + 5*t**4 - 3*t**4 - 4*t**4.\nAnswer: 19*t**4 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 737034139 minus -28263?\nAnswer: 737062402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 677911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a - 3*a)*(-3 - 3*a + 7 - 2).\nAnswer: 6*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + -22222001?\nAnswer: -22221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1558)\/(-114))\/(2*(-2)\/(-24))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -14.3. Let k = 1 + q. Let i be 3\/(0 - (-9 - -4))*-1. Put i, k, -5 in ascending order.\nAnswer: k, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32229a (base 16) to base 13.\nAnswer: -8b069c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 6*x**2 - 5 + 5)*(3 + 0 + 1).\nAnswer: -8*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -2*i + 2716. Suppose 12*p - 4 = 13*p. Sort 4, p, i in ascending order.\nAnswer: i, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185950 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3219 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: Two letters picked without replacement from hhhhfhfhhh. Give prob of picking 2 h.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*m - 282*m - 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 72 - 1 - 123*k**2 + 6*k.\nAnswer: -123*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1713 - 295b?\nAnswer: -4472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/24 and 5\/171?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/7 + 124*i**3\/7 + 240*i**2 + 6976*i\/7 + 9472\/7 = 0. Calculate i.\nAnswer: -4, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 9*u - 14. What is m(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 369574142 to the nearest integer?\nAnswer: 19224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 100280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.3905, -10\/7, 0.5, 5?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + j + 396, -9*j + 13*j = 5*m - 653. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*s - 95 = 0, -q - 5*s + 19 + 11 = 0. Suppose -3*z + q = 4. What is the lowest common multiple of 10 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07891 times 14575?\nAnswer: -1150.11325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 0. Let q = z + -5. Suppose p + 29 = 3*v - q*p, -8 = -v + 2*p. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - t + 1 = -n, -2*t - 12 = -n. Suppose n*k = k. Let l(s) = -s + s - s + k. Let j(m) = 2*m**2. What is j(l(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**4 + 3 - 3 + (5*p - 2*p - 4*p)*(-4*p + 4*p - p**3) - 2*p**4 + 3*p**4 + p**4 in the form z*p**3 + m*p**4 + j + t*p + k*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/63 and -107\/70?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4090 is divided by 294.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 - 3*o + 11. Let m(c) = -2*c**2 + c - 5. Let k(a) = -a**2 - 13*a - 29. Let i be k(-4). Calculate i*m(p) + 3*x(p).\nAnswer: p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 11 = -5*v. Find the second derivative of n**3 - 5*n + 2*n**3 - 3*n**3 - 6*n**v wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 - 5 + 2 + 30*o**2 to the form u*o**2 + g*o + z and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 2745, -10, 24 in descending order.\nAnswer: 2745, 65, 24, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**2 + 7*p**2 - p**2 - 2*p**2 to the form o*p + w + r*p**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -122, -15, -95, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 11:14 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -181, -361, -545, -733, -925, -1121?\n\"Answer: -2*v**2 - 174*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 2, -2\/217?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 1. Let g = -14 - -17. Let u(v) = 6*v + 7. What is g*u(p) - 21*b(p)?\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*m - 1028, -28*j + 1008 = -25*j + 3*m. Calculate the highest common divisor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-5)))\/((l\/l**8*l*l)\/l)*(l*l**(-1))**14 assuming l is positive.\nAnswer: l**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o)**30\/(o*o*o**(-5)*o)**(-2\/81) assuming o is positive.\nAnswer: o**(-12154\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + 0. Suppose -2 + d = 2*l. Suppose -2*t = 10, -5*t = 4*g - 9*g + 45. What is the remainder when l is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10283*u**2 + 7*u + 1. Let x be q(2). Suppose 21*l = x - 1226. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 1, -3, -9, -5 in decreasing order.\nAnswer: 190, 1, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -148307534 divided by 1?\nAnswer: -148307534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*p - 0. Let x = p + -2. Solve 0 = -5*h + x*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10821*q + 9373?\nAnswer: 10821","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2421 is divided by 2066?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*a - 2*a. Suppose -d - a = -5*x - 4, 0 = -2*x + 2. Let z(k) = k + k - 2 - d*k + 14. What is z(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-3 - -16) - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-10)\/(-35))*7\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1681*d + 841*d + 840*d + 3*d**2. Suppose 0*f = 5*f - 25. Let k(r) = -13*r + f*r - r. Determine j(k(v)).\nAnswer: 243*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**9\/20160 - r**6\/180 + r**5\/30 + 4*r**2. Let m(k) be the third derivative of f(k). What is the derivative of m(q) wrt q?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 93*z + 566 = 0, 6*f + 9*f - 10*f - z = -34 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 429 + -408. Suppose -4 = 2*q - 34. What is the smallest common multiple of b and q?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195598 by 13.\nAnswer: 15046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qazz when four letters picked without replacement from zpaapaaaqapjz.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (45 + 1 + -8 - (-9 - -2)) + 15\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*h = -202*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 6. Let g = -22 + 6. Let y = g + 16. Suppose y = s + 4*s. Calculate n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*w**4 + 77656*w**3 - 10139*w - 104 wrt w?\nAnswer: 120*w**2 + 465936*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 + 197 + 4*u - 314.\nAnswer: 4*u + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (1626\/(-184) + 9)*24. Put 2\/21, -5, 8\/9, q in decreasing order.\nAnswer: 8\/9, 2\/21, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-19))\/(7608\/(-542070))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/21 - (2 + 1912\/(-14)). Let l = w - 90. What is the highest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 673 = -3*x, 3*x - 2767 = 2*h - 6*h. What is the greatest common divisor of 43 and h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let h(z) = 3*z - 43. Let n(j) = 26*j - 412. Let p(b) = 19*h(b) - 2*n(b). Give t(p(w)).\nAnswer: 10*w + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 3*r + 3. Let x be s(3). Let h(b) = -3*b + 134. Let k be h(40). Solve x*u = z + k - 5, -z + u - 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12704256 is divided by 42.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/5 + 8180*r**2 + 858178*r\/5 + 653728 = 0. Calculate r.\nAnswer: -20429, -16, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(68))*1 + (sqrt(68) - (sqrt(68)*2 + sqrt(68)))**2*-4).\nAnswer: -6*sqrt(17) + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 8*s + 8 = 0. Let f be 505\/55 - s\/(-22). Suppose 3*d = -3*c, -4*d + 7 = -3*c + 28. Solve -4*o - f = c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - 2 + 3*q**2 - 9*q - 7*q**2 + 11*q + (0*q**3 - 2*q**3 + 0*q**3)*(-4 - 3 + 5) + 3*q**2 - q**3 - 3*q**2 + 3*q**3 + 2 - 2.\nAnswer: 4*q**3 - 4*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 130613972 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 949191, 948936, 948681, 948426, 948171?\n\"Answer: -255*u + 949446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 868 and -3.\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/9)\/((-23010)\/5310)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*n + 0*n - 4*n)*(5 + 1 - 2) - 2*n + 2*n + n)*(-10*n**2 + 9*n**2 - 2*n**2) - n**3 - n**3 + 0*n**3 to i + m*n**3 + o*n + q*n**2 and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 10. Let h be l(5). Let p be 0 + (-1)\/7*1. Let f = 2.4 + -0.4. Which is the nearest to 0? (a) h (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*t + 59, 2*q + 0*q + t = 118. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -630 + 1064. Let u = 28 + o. Does 42 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**4 - 45*u**3 - 40*u**2 + 540*u + 800 = 0. Calculate u.\nAnswer: -2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icceeecciecc. Give prob of sequence ecc.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 528 - 524. Suppose h - 6040009 = 3*h + 3*u, u + 12080003 = -x*h. What is h rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13868769 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4 = 5*n - 13, 0 = -p - n + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 468 - 468. Let i(v) = 21*v + 841. What is the hundreds digit of i(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 3102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -48 + 21 + 15 - (2 + 0)) + 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1617*o**5\/4 - 807*o**4 - 4863*o**3\/4 + 6459*o**2\/2 - 1605*o - 6 = 0. Calculate o.\nAnswer: -2, -2\/539, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + u**2 - 287. Let w be b(0). Let c = w - -290. Solve 0 = -c*n - i - 3 + 14, -4*i = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*t + 2048 + 1395, 0 = -3*z + 3*t + 2616. Does 23 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (61 + -60 - 33).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 783 divide 1768436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 7*k**2 - 36*k - 1. What is the hundreds digit of i(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -22. Let z = q + 8. Let c be ((-9)\/z)\/(6\/16). Solve 5*d = 2*d - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(7) + 2)**2 - (-1 + 0 + sqrt(28))**2.\nAnswer: -18 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97848908 and 21973.\nAnswer: 3139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (56\/112)\/((-2)\/(-16)*2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 990 + -1004 - (1 + 1 + 7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 - 34098*c**2 + 204672*c - 272928.\nAnswer: -3*(c - 4)*(c - 2)*(c + 11372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r - 144 = 17*r - 40*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 2*x - 3. Let y be n(2). Solve 4*f - 1 = -y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 + -4?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6810 - 12*r**2 + 13571 - 18*r + 13*r**2 - 6806. What is p(20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, u: 1, c: 1, t: 2}. What is prob of picking 1 u, 1 s, and 1 t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -2 + 1 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000004035888 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 14*m**2 - 55*m - 117. Give z(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 186\/837*(-1575)\/(-28)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = 2*c, 5*c + 0 = -15. Let v = w - -11. What is the second derivative of -445*g**3 + 12*g**5 - v*g + 445*g**3 wrt g?\nAnswer: 240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -203743718*i - 276311843.\nAnswer: -203743718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 7*m**2 - 8*m + 1. Let n be r(-8). Let u(j) = -j**3 + 12*j**2 - 12*j + 22. Let l be u(11). What is the greatest common divisor of l and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 10:43 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1140 by 6.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 485 - 320. Let k = l + -106. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 + 129*k - 1336. Let z be v(36). Which is the closest to -2? (a) -1\/11 (b) -0.5 (c) -0.2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*k - o = 108*k + 3, 3*k - o = -2*o - 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23232 and 19723?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9330 is divided by 667?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*q = 4*s - 134, 0 = -2*s + 4*q + 68. Solve -z + 8 - s = -4*r, 5*r - 28 = 2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdkkkppedpkp. Give prob of picking 1 p and 1 e.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2745550*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**2*q*t*u**2 + 25639*k**2*t**3*u**3 - 140*k*q**3*u**3 + 2*k*t*u**3 - q**3*t**3*u**3 - 9*q*t**2*u wrt t?\nAnswer: 153834*k**2*u**3 - 6*q**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 167, 116, 77, 50, 35, 32?\n\"Answer: 6*z**2 - 69*z + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 1. Let j(m) = 9*m**2 - 2*m + 67. Let b(a) = j(a) - 2*w(a). Is b(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/416 and 15105\/(-2160) + (-5)\/(25\/(-40)).\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(3\/10)*h**(-2\/17)*h*((h\/(h\/(h\/(h*(h**(-4)*h)\/h))))\/h)\/h*h\/h**(-4) assuming h is positive.\nAnswer: h**(1629\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c**3 - c**2 + c - 1. Let m be k(1). Let i = m + -3. Let u(g) = g**3 + 7*g**2 - 3*g - 50. Let v be u(-6). Are i and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.57427275 - -0.5741. What is i rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 3*c - 29. Is a(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 4) in base 2?\nAnswer: -111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 96*b - 2436. Let y be j(32). What is the greatest common divisor of 24 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/500373 and 55\/2199753.\nAnswer: 116586909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 181*h**2 + 597*h - 1031. Determine z(-87).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*(y**(13\/5)\/y)\/y)*y\/y**(-1\/13)*y assuming y is positive.\nAnswer: y**(96\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 611 and 17578?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -143, -52, 105, 334, 641, 1032, 1513, 2090?\n\"Answer: t**3 + 27*t**2 + 3*t - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247*i - 247*i + 2497*i**3)*(-2 - 1 + 4).\nAnswer: 2497*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Are -32874287 and -32874267 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 1, l: 3, z: 7, d: 1}. What is prob of picking 1 j and 1 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57785 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585614230?\nAnswer: 2, 5, 5381, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9227 smaller than -9227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**4\/7 - 1704*t**3\/7 - 33147*t**2\/7 - 145986*t\/7 + 180840\/7 = 0.\nAnswer: -548, -11, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1491 and 14058?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 1. Let a = -15 - h. Let b = 6.6 - a. Is b at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/(-9200))\/((-2)\/(-75)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -2 + 36160901\/122234. Let w = z + -2\/26193. Let d = -297 + w. Calculate the common denominator of 33\/146 and d.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2736 divide 80837856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5281790, 10563646, 15845502, 21127358, 26409214, 31691070?\nAnswer: 36972926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/20125408 and 111\/175142?\nAnswer: 221379488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 557962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -37\/3 (b) -0.5 (c) -0.3 (d) 198 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -5*q**4\/6 - 5*q**2 - 5*q. Differentiate a(c) wrt c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 68*r - 3\/7*r**7 + 16\/15*r**6 + 0 + 25*r**4 + 10*r**2 + 73\/3*r**3 + 56\/5*r**5. Determine i, given that o(i) = 0.\nAnswer: -1, -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 747 divided by 10801.\nAnswer: 747\/10801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (336 + 0 - 2) + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000 - 10010000010011?\nAnswer: -10001101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**2 - 238737*g + 8873328 wrt g.\nAnswer: 6*g - 238737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 6*g + 3. Let p be o(-5). Suppose -5*w + 20 = 0, 3*s + w + p = 48. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 1\/7*i**3 + 0 + 1\/490*i**7 - 3\/140*i**5 + 1\/280*i**6 + 0*i - 1\/56*i**4 - 7*i**2. Let u(p) = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 12*z + 10. What is the remainder when 89 is divided by q(-7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3175491?\nAnswer: 3, 11, 41, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 358 - 2?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18547 - 18561.5. Which is the third smallest value? (a) f (b) -4 (c) 1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -166 + 1 + 26 + -29. Let b = g - -236. Let n(v) = -38 - 31 + b + 22*v**2. Calculate n(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2840.6 + -2841. What is the smallest value in 2\/11, 6\/5, 4, t, 1\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 7, z: 1, e: 1, y: 9}. Give prob of picking 1 z and 1 y.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4410*o - 26454. Give b(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = -5*o. Let p be 2\/2*(-9 + o). Let z = p + 11. Solve 3 = z*g + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 2 + sqrt(12)\/sqrt(4) - -4*(sqrt(3) + -4)**2.\nAnswer: -30*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111 and 1702?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.041 - 192\nAnswer: -192.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 0*d**2 + 0*d**2 + 1 - 2*d**3.\nAnswer: -2*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(111\/296)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, 4, -4 in ascending order.\nAnswer: -15, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 2*r**2 + 2*r - 3. Let d be i(2). Let b(a) = -d*a + 0 + 0 - 1. Is b(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -117. What is the remainder when (h\/6)\/(2\/(-6)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135318, -135325, -135332?\nAnswer: -135339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 432 - 293. What are the prime factors of a?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7196.2139 to the nearest 100.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 2. Let k be p(-1). Let n = k - 1. Let w be (16\/12)\/(2\/3). Solve 1 = -w*x + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*i**4 - 5*i**3 + 587*i wrt i.\nAnswer: 372*i**2 - 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 31076, 0.\nAnswer: 0, 26, 31076","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5443, -5445, -5455, -5479, -5523, -5593, -5695, -5835?\n\"Answer: -k**3 + 2*k**2 - k - 5443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 594*t**5\/13 + 3732*t**4\/13 - 4222*t**3\/13 - 9216*t**2\/13 - 3816*t\/13 - 448\/13 = 0?\nAnswer: -7, -8\/11, -1\/3, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/24*328030\/(-13195). Let v = m - -2\/1131. Calculate the common denominator of v and 73\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*f**3 + 1538*f**2 - 3040*f + 184 = 0. What is f?\nAnswer: 1\/16, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-4) - (-6)\/(-4)) + 0. Let t be 1\/(-4)*(-31 - u\/(-1)). Let w = t + -8. What is the closest to w in 1\/5, 1\/3, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 8*j - 3*j + 4, 8 = -3*j - 2*n. Let t = -0.03 + -2.97. Which is the second smallest value? (a) -0.1 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -32*o + 32*o + 23 + 8*o - 7*o - 12*o**2 + o**3. Determine a(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -352?\nAnswer: -34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 1\/2 (b) 13 (c) -0.1 (d) 20 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7*j + 7*j - 2*j**3 + (-6*j + 3*j + 4*j)*(3 - 3 - 2*j**2) + 0*j**3 - 4*j**3 + 5*j**3 - 3*j + 2*j**3 + 3*j)*(j**2 - 2*j**2 + 3*j**2).\nAnswer: -2*j**5 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 191606 a multiple of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3714.4464 hours in weeks?\nAnswer: 22.1098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 8 + 6 + 14*q)*(-2*q + 65*q + 56*q) + ((0 + 3 - 5)*(-3*q - q + 2*q) + q + 0*q + q)*(2 - 2 - q).\nAnswer: 1660*q**2 - 119*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61\/6? (a) -0.1 (b) -5 (c) 4\/5 (d) 37 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5057*f - 156890. Give p(-31).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -511 - -142?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 6*z**2 + 3*z - 6. Let y be i(-5). Let w(v) = v**2 + v + 1. Let l be w(-2). Is l - -4*y\/1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 680 and 225335.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*(2*sqrt(156) - sqrt(156)))\/(-1*sqrt(1728)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -19492200.7?\nAnswer: -9746100.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**4 + 14*w**4 + 0*w**4 + (-4*w**2 + 5*w**2 + w**2)*(-2*w**2 - 2*w + 2*w) to the form n*w**4 + f*w**2 + k + y*w + d*w**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(12)*-2*6) + -1 + -3*1*sqrt(13) + 4 + (5*(-2 + sqrt(1300))*4)**2.\nAnswer: -192037*sqrt(13)\/12 + 521603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1566 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: What is the greatest common factor of 8095060 and 56695?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j**2 + j**3 - 6*j + 9*j**2 + 8*j. Let l be q(0). What is the remainder when (0 - l) + (-15)\/10*-14 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1186943 and 76?\nAnswer: 90207668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.082877293 and 5.\nAnswer: 0.414386465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.839144183 rounded to 4 dps?\nAnswer: -0.8391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 9 + 2*c + 8 + (3 + 0 - 2)*(10*c - 2*c + 0*c).\nAnswer: 10*c - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 9987*l - 9985*l = 74, -x + 6*l - 136 = -18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63857\/12 - -5327. Find the common denominator of 49\/16 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**4 + 3*r**3 + 2*r**2 + r. Let u(m) = -3*m**4 + 29*m**3 - 29*m**2 - 37*m + 30. Let g(s) = 2*a(s) + u(s). Factor g(h).\nAnswer: -5*(h - 6)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ccccmcccccccmcmc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 340 and 748?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -278.4 (b) 0 (c) 103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2534 divided by -362.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 539.72784 seconds?\nAnswer: 0.1499244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -489\/23 or -21?\nAnswer: -489\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -10*v**2 - 19. Let p(z) = 5*z**2 + 10. Let m(d) = -7*p(d) - 4*t(d). Let j(o) = -2 - 10*o**2 + 9*o**2 + 1. What is -6*j(l) - m(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 15*r**2 - 16*r + 17. Calculate p(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/24 and -77\/114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3+386.215\nAnswer: 389.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-108)\/(-21)*(-14)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 9*h**2 + h + 14. Let w be i(-9). Suppose x = -w, -5*k + 72 = -5*x - 188. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 - -181. Let h(v) be the third derivative of 1\/12*v**4 - 2*v**2 + 0*v**3 + 0*v + l. Let d(o) = -6*o**2. Determine h(d(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0 - (3 + 7)) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -141728, -283433, -425140, -566849?\n\"Answer: -c**2 - 141702*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**5\/60 - 3*x**2. Let z(c) be the second derivative of -c**3\/3 + 1269*c - 1. What is s(z(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -159*n - 10329. Let f be y(-65). Let g(t) = 6*t**3 - t**2 + 8*t + 6. Let d(u) = -7*u**3 - 9*u - 7. Let i(j) = 5*d(j) + 6*g(j). Give i(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*s**2 - b**2*s - 13557*b**2 + 596*b*s**2 wrt s.\nAnswer: -4*b**2*s - b**2 + 1192*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + 18 + -38 + -11 + -1 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2389? (a) -1\/4 (b) 1 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 7*z - 5. Let b be i(6). Let n be (24\/(-18))\/(2\/(-36)). Let v be 2\/3*((-135)\/n + 6). What is the closest to -2 in 2, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.87534 nanometers?\nAnswer: 0.000000387534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/sqrt(7) + (sqrt(15)\/(sqrt(3) - (sqrt(3) - sqrt(27))))**2.\nAnswer: 5\/9 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.1. Let o = -0.04 + -0.46. Let q = -27.8 - -28. Which is the closest to y? (a) o (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.23293 rounded to 2 decimal places?\nAnswer: 3.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 7:15 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0495, 5, -0.2 in increasing order.\nAnswer: -0.2, 0.0495, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h + 303119 + 31*h - 303119.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/3, 0.734, 4, 2, -0.045?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -1\/4 (b) -1 (c) -6\/11 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*x - 1. Calculate the highest common divisor of x and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*0*3\/6. Suppose -4*y + 8 = -r - 1, k = -3*r + 3*y + 18. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 140*r**2 + 4*r - 2. Let k(u) = 0*u - 2*u - 2*u - 2*u**2 - u + 6*u. Let x(z) = 5*k(z) + y(z). What is the second derivative of x(f) wrt f?\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 18. Let n(g) be the second derivative of -g**4\/12 + g**3\/6 + 3*g**2 + 2*g + 443. Determine n(z).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, -14, -1638.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -892893790 less than 869?\nAnswer: 892894659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16258, -19596, -22934, -26272, -29610, -32948?\nAnswer: -36286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46812 + 75304. What are the prime factors of p?\nAnswer: 2, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1036.14 - 1024. What is n rounded to 1 decimal place?\nAnswer: 12.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0\/(z*z**1)*z**(1\/7)\/(z**1\/z)*(z**(-2\/11)\/z)\/z**(-6)*z\/(z\/((z\/(z**(-3\/8)*z))\/z))*z**(1\/4) assuming z is positive.\nAnswer: z**(1593\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23 (b) 2 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjffjffjfjjfjjjjjjj. Give prob of sequence jff.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 200?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8048*o**2 - o. Let c(q) = 4*q**2. What is s(c(b))?\nAnswer: 128768*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - g + 4*g + 361 = 0, 2*t - 2*g = 356. Let v = t - 164. Solve -7*z + 10*z - v = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222867734 and 38968.\nAnswer: 9742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 9197.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -8*q**3 - 16*q**2 + 35*q - 18. What is the hundreds digit of h(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2679150 is divided by 206035.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + sqrt(5))**2 - (sqrt(180) + 1).\nAnswer: -8*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -14*f - 21. Let i(x) = x. Let z be i(1). Let s(v) = v. Suppose -32 = -5*a - 57. Let l(r) = a*s(r) + z*t(r). Differentiate l(k) wrt k.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -79*j**4\/12 + 2*j**3\/3 - 14*j**2. List the prime factors of c(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 2*u**2 - 69 + 19 + 10.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + 15\/3 - (-4 + 4). Let p = 117 + -171. Let h be (8\/(-6))\/(12\/p). Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**5\/60 - 5*y**4\/24 - 3*y**3\/2 + 15*y**2. Calculate the remainder when q(8) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 265643*u**3 + 8*u**2 + 10*u + 192. Let n be v(8). Round n to the nearest 1000000.\nAnswer: 136000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -29705364.\nAnswer: -29705367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66928101293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -318, -313, -308?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4370*o + 23040 - 652320 = 0 for o.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourteeen fifths of a millennium?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1. Let j(n) = 2*n**3 + 2. Let m(l) = 3*d(l) - j(l). Is m(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10267 + -10265. Sort h, 224, -5, -1 in ascending order.\nAnswer: -5, -1, h, 224","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - 2030?\nAnswer: -2045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -2 (b) -5 (c) -2\/3 (d) 4\/7 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 684 and 198036?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137438168?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-77) + ((-78)\/(-21))\/13. Let m = 20 - 15. Which is the second smallest value? (a) -3 (b) m (c) i (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*q + 65*z - 60*z, 0 = z + 7. What is the closest to 1\/2 in q, -0.1, -0.02, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4569*u + 2489. Calculate g(0).\nAnswer: 2489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -30. Suppose s = 2*l - 0*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s**2 + 0*s**2 - 2*s**2)*(5 + s - 5) - s**2 - 3*s**3 + s**2.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 < -1494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = c - 1848 + 1833, 6*c = -3*k + 105 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2151988 is divided by 1075972.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**5 - 3*j**4 - j**2 - j + 1. Let c(y) = 4*y**5 + 27*y**4 + 356*y**3 + 539*y**2 - 360*y - 575. Let a(g) = c(g) - 3*t(g). Solve a(r) = 0.\nAnswer: -17, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-6)\/9*-3*-1). Put -5, 2\/9, t, -3\/8 in decreasing order.\nAnswer: t, 2\/9, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56912000 rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 10 = 5*v. Suppose -u = -v*m - 40, 0 = -4*u - 5*m + 13 + 82. Suppose 0 = 2*o - o - 11. What is the remainder when u is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -45*z - 24. Let f be j(-10). Let r be 1\/((1*-2)\/(-274)). Suppose -c + f = -r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**3\/2 - 65*n**2\/2 - 4*n + 9. Let g be m(24). Solve -2 = 5*f - g*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 8:18 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 10*u**2 - 1. Calculate a(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*i**4 - 18*i**4 + 6*i**5 + (58*i + 23*i - 22*i)*(3*i**4 - 5*i**4 + i**4).\nAnswer: -53*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 207, 185, 165, 147, 131?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w**2 - 290*w + 2. Let j(m) = -2*m**2. What is v(j(i))?\nAnswer: -40*i**4 + 580*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Let y be f(-8). Let c = 13 - y. Suppose -3*u - 12 + 0 = c*v, -v + u = -4. Which is bigger: v or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 5*m**2 + m + 8. Determine f(7).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 53 = 14*g - 9*g - 10*g, 30*c - 357 = -3*g for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + q = -1, -6 + 2 = -2*q. Suppose 4*n - 11 = 9, -4 = j*f - 2*n. What is the remainder when -4*(-1 + (-1)\/(-4)) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25*3\/((-15)\/(-2)))\/((-1586)\/5551).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265, -1289, -2845, -4807, -7049, -9445, -11869, -14195?\nAnswer: -16297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -5 (c) 8\/3 (d) -1 (e) 3 (f) -10.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*j + 3*f, 6*j - 3*j = -3*f - 3. Let -1 + 2 + j - 6*y + 3*y**2 = 0. What is y?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329511 to the power of 1\/2, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -13180599480 to the nearest one million.\nAnswer: -13181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*q + 12. Let j(d) = -d**3 + d + 9. Let m be j(q). Let o = m - 38. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 3*r**2 + 2*r**3)*(-r**2 - 2*r**2 + 5*r**2)*(2 + 18 + 18).\nAnswer: 152*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 16 = -3*g. What is the remainder when 54 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -0*d + d + 3, -4*h = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*(-15)\/((-90)\/84) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/30 + -20*(-12)\/600. Suppose n - 3*n = -3*r - 278, -5*n + 706 = -2*r. Suppose z = 3*d - n - 758. Is d a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/((q*q*q**(1\/50)\/q)\/q)*q)**(-39)\/((q\/(q*q\/q**15))\/(q*q*q**(-2))))**(-1\/17) assuming q is positive.\nAnswer: q**(383\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-770))\/(-9*(-12)\/(-9828))\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Does 7\/114 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/12))\/f*f)**(-4\/13)*(f*f**(-2\/5)\/f)\/f**(3\/5) assuming f is positive.\nAnswer: f**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.9359 + -0.0541. Let q = 6 + x. Let p = q - 0.0100075. Round p to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 455 + -398. Let a be -3*(1 + -3*6). Find the third derivative of h - 108 - 10*f**4 + 17*f**2 + a wrt f.\nAnswer: -240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 - 22*a**3\/3 - 5*a**2. Suppose 2*x + j - 4 = 0, -2*x + 5*j - 46 + 26 = 0. Give l(x).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 4*b - 14. Let c be q(8). Suppose -195 = -4*o - 15. What is the highest common divisor of o and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - s**2 + 1. Let p(b) = 3*b**3 - 8*b**2 - 8*b - 8. Let x(q) = p(q) - y(q). Give x(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/18*3\/4. Let u(z) be the third derivative of 2*z**2 + 0 + h*z**4 + 1\/45*z**5 - 1\/18*z**3 + 0*z. Factor u(f).\nAnswer: (f + 1)*(4*f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 11:32 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqkfqkqk. Give prob of picking 4 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, n: 4, g: 10}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*-11*14\/(-924).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 37. Which is the fourth biggest value? (a) -3 (b) -1 (c) 10\/9 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1141518674 to the nearest one million.\nAnswer: 1142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1284 and 1065168843?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/315 + t**6\/5 - 27*t**5\/10 - 3*t**4 + 324*t**3 - 2*t**2 + 689*t - 1. Let n(f) = 0. What is f?\nAnswer: -3, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 3. Let c(n) be the second derivative of -n**3\/3 + 11*n - 2. Give s(c(r)).\nAnswer: 6*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 329*v**2 - 396*v + 21780. Calculate w(330).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7527?\nAnswer: 3, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*c - 1760 = 31*c. Calculate the remainder when 86 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 25 + -15 + -7 + 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.134, -8\/29, -2, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -43\/8, 36\/29, 1 in ascending order.\nAnswer: -43\/8, -0.2, 1, 36\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*g + 60. Suppose q + 107 = -7*y + 2*y, y + q + g = 0. Find the common denominator of (2\/y)\/(24\/(-1442)) and -149\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 10850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1065 - 7085. What is h rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 3 - 3)*(-3*d + 2*d + 2*d) + (1 - 3 + 1)*(d + d + d))*(1 + 2 + 3) in the form u + x*d and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:22 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15947 and 156843.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 501 + -509. Put h, 4, -5 in ascending order.\nAnswer: h, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5))**(-5\/7) assuming j is positive.\nAnswer: j**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1259 and 0.3.\nAnswer: -0.03777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -24. Calculate the least common multiple of 16 and 476\/b + 6\/45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 82651, 2 in ascending order.\nAnswer: -0.2, 2, 82651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**5 - v**5 - v**5 + (2*v + 4*v - 5*v)*(0*v**2 + 2*v**4 + 0*v**2) + 110 - 110 - 243*v**5.\nAnswer: -239*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1574424676*p + 3148849349*p - 1574424677*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766 = -546*l - 218 + 544 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Let y be 2 + (-7 - -7)\/(-2*1). Suppose 0 = -4*x + 3*x - y. Determine i(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/13 bigger than -2919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-226)\/(-9944)*2472\/14.\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771 = -3*h + 1041. Suppose 5*t + 2*p - h = -36, 3*p + 100 = t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nanqnannnnanan. What is prob of sequence naaq?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 13 - x**3 - 14 - 6*x**2 + 19. Suppose -2*w - 4*w - 48 = 0. What is the tens digit of g(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4\/2 + 1165*m**3 + 457998*m**2 + 911340*m = 0. What is m?\nAnswer: -1830, -498, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17))**21*d**(-7\/4)*d**(-5\/13) assuming d is positive.\nAnswer: d**(-4071\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/14 + 5\/14. What is the closest to 1\/4 in m, -4, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mffymmmmmdmmpe. Give prob of sequence fey.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 9*j**2 + 76*j + 96. Let m(z) = 10*z**2 + 75*z + 95. Let t(r) = 5*g(r) - 4*m(r). Solve t(a) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -150? (a) -2 (b) 40 (c) -0.5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 18*w + 7 + 8 - 15 in the form o + n*w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3 - 3 - 5435*r**2 + 5470*r**2. Let p(s) = -4*s. Calculate k(p(i)).\nAnswer: 560*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 6 = -3*j, 4*j - 29 = 3*r. Suppose j*n + 3*l = 18, 3*n = -0*l + 3*l + 6. Let p = 10 + -3. What is the smallest common multiple of n and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/2 (b) -276 (c) 7 (d) -48 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -760 + 1057. Let k = m + -169. What is the greatest common divisor of 160 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5 = -3*t, -x = 2*x - 5*t - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1189 and -11\/8?\nAnswer: 9512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a micrometer in nanometers?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Suppose -3*q = 16 - 1, 0 = -w + f*q + 20. Let z be 3*((-60)\/(-9))\/5. Solve 0 = -2*a + z*t + 6, 0 = t - w*t - 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1406*o. Let r(f) = 21*f**2 - 81*f. Let y(v) = -3*v**2 + 12*v. Let x(d) = -4*r(d) - 27*y(d). Determine s(x(w)).\nAnswer: -4218*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3615 divide 518748522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3772*-0.4.\nAnswer: -1508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 2. Let n(b) = -b**3 + b**2 + b. Let y be n(m). Let h(q) = -q**3 - 4*q**2 + 6*q + 1. Let j be h(-5). Put j, y, 4 in decreasing order.\nAnswer: 4, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 3, 5 in descending order.\nAnswer: 56, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86807665, -86807667, -86807669, -86807671?\nAnswer: -86807673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - 103.2. Let m = 6.6 + x. Let l = m + -4.400367. What is l rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*n - 11*n - 15*n + 70*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -5, 18.7, 0, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = 2981*p - 2979*p - 28, -m - 14 = -2*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 12. Let q be v(-3). Suppose -102 = u - q*u. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p + 2*p - 14*p**2 - 6*p + 479*p**3 + 16*p wrt p?\nAnswer: 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = -2*x, 5*r - 27 + 2 = -4*x. Solve -r*c - 1 = -2*q, -5*q + c - 2*c = -16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 11) to base 5.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/9)\/(((-22)\/(-9))\/11) + 8. Calculate the highest common factor of 448 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-b - 2 + 2)*(0 - 4 + 2)*(-20*b + 40*b - 9*b) + (3 + 0 + 0)*(-2*b**2 + 0*b**2 + 0*b**2))*(b + b + 0*b) to p + c*b + w*b**2 + n*b**3 and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 1 - 1) + -4 - (7 + 10)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**5 - 3*d**5 + 0*d**5 + (-d + 2*d + d)*(-2 + 2 - 2*d**4) + 2*d**5 - 3*d**5 - d**5 - 5 + 4*d**5 - 3*d**5 + 8 + 6*d**5 + 5*d**5 - 2*d**5.\nAnswer: 5*d**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q - 188. Calculate z(-20).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 477.16 - 477. What is the third biggest value in -3\/4, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 + u**4 + u**4)*(7*u - 23*u - 19*u) + (-5*u**4 + 5*u**3 - 5*u**3)*(-u + 3*u + 0*u)*(7 + 1 - 1).\nAnswer: -35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -24, 0.5, 1\/4, 4, -0.1 in increasing order.\nAnswer: -24, -1, -0.1, 1\/4, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 4*r**2 + r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4838708 = 147*r - 71574832. Round r to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 10*d - 9*d + 47, 34 = 3*g - 2*d. Solve -g = 10*t - 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91364*p - 123*p**2 - 150*p**2 + 91364*p - 283*p**2 - 265*p**2.\nAnswer: -821*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 181895670 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w = -17*w - 100. Let z(f) = -21*f**3 + 4*f**2. Let j(m) = 85*m**3 - 17*m**2. Give w*j(h) + 17*z(h).\nAnswer: -17*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44*(-190)\/5016)\/((70\/6)\/(-1)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6395 by 1.\nAnswer: -6395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 2. Let n(y) = -y**2 + 9. Let k be n(0). Let h = d + k. Solve -4 = -2*z + h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 9*j**2 + 26*j - 106. What is u(3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htyapjtjjtyp. What is prob of picking 2 t?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*i*w + b**3*w**3 + 12*b**2*i - 4*b*i*w - 2*b*w + 78*i*w**2 - 3*w**4 wrt w.\nAnswer: 6*b**3*w + 156*i - 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24813)\/(-13785)*19\/9?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81.112 + 0.112. Let g = n + 81.1. Put 0, g, 0.4, -1\/6 in descending order.\nAnswer: 0.4, g, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1432198mm?\nAnswer: 0.0000001432198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/847814 and 89\/132?\nAnswer: 5086884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4010 = 1477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11698*a - 5842*a - 5823*a + 12*a**3 to u*a**2 + n + i*a**3 + k*a and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -647*y**4\/12 - 365*y**3\/3 + 642*y. Find the second derivative of n(r) wrt r.\nAnswer: -1294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -895, -4523, -8151, -11779?\nAnswer: -15407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: 0 times 4268228\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(1 - (7 - 7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-710 - -657) + 35 + -2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/16 and 15\/224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 322 + 74. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 - 3 = 0. Suppose 0 = r*k + 14 - 34. Let l(w) = 4*w - 1. Does 15 divide l(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-50)\/550)\/(3\/(-2) - -1). Let j = -1 - 1. What is the second biggest value in 4, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 111*m + 881. Give g(-7).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 3 = 2*h, 136*i + 783 + 1381 = 4*h - 0*h - 972 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3509167.58 rounded to the nearest 100?\nAnswer: -3509200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2446 - 2?\nAnswer: -2451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 758, -682, -2118, -3550, -4978, -6402, -7822?\n\"Answer: 2*l**2 - 1446*l + 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91312717708 plus 381?\nAnswer: 91312718089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -2*a**3\/3 - 11*a**2\/2 - 252*a. Give n(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 48 = 7*b. What is the remainder when 11 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 176658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from eggueggauusuaru.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -390928.\nAnswer: 27\/390928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 469 + -469 + -5 + 14 + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q - 15 = 0. Let o = -17 - q. Let l(m) = -2*m - 7. Calculate the remainder when l(o) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*v + 28, 34 = 5*v + 5*l - 6. Let d(x) = 16*x - 4. Let c be d(v). Calculate the highest common factor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 1. Let u be (172*(-3)\/18)\/(1\/(-3)). Suppose 0 = h - 87 + u. What is o(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 18*h = -20. Let q(b) = -6*b**3 + 8*b**2 + 5. Let f(w) = -5*w**3 + 7*w**2 + 4. Give h*f(k) + 4*q(k).\nAnswer: k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 211*o**2 - 14*o + 41. Is c(38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110101101 - 10?\nAnswer: 110110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 2:54 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 18*q - 11*q. What is the units digit of (-9)\/(q\/(-2)) + 253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/9 + 100*y**3 - 1810*y**2\/9 - 100*y + 1808\/9 = 0. Calculate y.\nAnswer: -452, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76609 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) - (-22)\/4. Let u(r) = -r**2 + r - 2*r + 5*r**3 - 2 + r**3 - 2*r. Let y(o) = o**3 - o. Let l(v) = f*y(v) - u(v). Determine l(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1208352 - 0.0077775. Let o = n - 0.113. What is o rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 13) to base 7.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71278779541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -5*w + 5, -z - 5 = 0. Let g be (w - -4)*(-3 + 4). Let u = 1 - g. Sort 0, u, 1 in decreasing order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-66))\/(6\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1700) + -2*sqrt(1700) - sqrt(1700))**2 + 5 + 6*(sqrt(1700) + 0) + sqrt(1700) + 0 + 2.\nAnswer: -130*sqrt(17) + 6832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 0*h**2 - 2*h**2)*(0*h + 2*h**3 + 0*h) - 3*h**5 - 2*h**5 - h**2 + 4*h**5.\nAnswer: -5*h**5 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 67 = 4*d, -o - 137 = 903*d - 894*d + 4*o for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**2 + 7. Suppose 114*q + 704 = 50*q. Let f(t) = -7*t**2 + 15. Give q*u(p) + 6*f(p).\nAnswer: 2*p**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18013966\/851 + -21168. Let j = 857\/2553 + k. What is the nearest to -16\/5 in -2\/9, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -788, 0, -3.\nAnswer: -788, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -871253 - -3?\nAnswer: -871250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -619*l - 3603. Let q = 0 - -3. Suppose q*y - 30 = 84. Calculate the remainder when g(-6) is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1059 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -351. Let l = -229 - j. Which is the third smallest value? (a) 0.02 (b) 6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947637 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -558, -1231, -1984, -2853, -3874, -5083, -6516, -8209?\nAnswer: -10198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*p + 163*p - 1276*p + 162*p + 163*p + 1 + 614*p.\nAnswer: -10*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 73751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4431)\/41356)\/(9\/(-2688)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21*4\/(-6)*(-14075)\/50?\nAnswer: 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 0*a - a**2 + 3 - 6 - 3*a. Let b be v(-3). Let k(j) = -2*j**3 - j**2 + 5*j + 3. Is k(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1367 + -1342. Suppose 3*i + 82 = s, 0 = 5*s + i - 4*i - 434. Calculate the remainder when s is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -22, -2 in descending order.\nAnswer: -2, -14, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/25)*j**11*j)\/(j**(-12)\/j*j\/j**(-17)) assuming j is positive.\nAnswer: j**(173\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -24*(559\/39 - 14)*(1 + -1685).\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158873 is divided by 11040?\nAnswer: 10713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 0 + (0\/(-2) - -239). Let p be (((-3)\/2)\/3)\/((-7)\/z). Let f(i) = -9*i + 29. Let o(k) = -3*k + 10. Let n(s) = p*o(s) - 6*f(s). Calculate n(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -5, -94, 4 in decreasing order.\nAnswer: 5, 4, 1, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2268, 2716, 3268, 3930, 4708, 5608?\n\"Answer: f**3 + 46*f**2 + 303*f + 1918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {j: 5, l: 14}.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose -y*t + 844 = -4*m, 3*m + 2*m - 1465 = -5*t. Let k = -132 - -164. Calculate the greatest common factor of t and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p**2 - p - 4. Let c = -6 - -10. Suppose -73 = -3*m - c. Calculate the remainder when m is divided by u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256337 is divided by 6565.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2969*x - 49939 - 12646 = 4787*x - 13499 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -433.1 rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**3 + 7*q**2 - 7. Let n(k) = -3*k**3 + 4*k**2 - 4. Let t(a) = -26*a + 45. Let s be t(2). Calculate s*n(b) + 4*m(b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 3. Determine p(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 146 + 2?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 36*x**2 + 401*x\/2 - 165.\nAnswer: (x - 66)*(x - 5)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, -0.2, 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(1900) - (5*sqrt(1900) + -2 + sqrt(1900))) + sqrt(1900) + -1))**2*3 + 2.\nAnswer: -6000*sqrt(19) + 2280077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.9 - -6.56. Round b to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 123 = -34*y. Find the first derivative of -1338 - 127*h + y*h + 1233 wrt h.\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 415 + -204. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 87206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25759, 25754, 25745, 25732, 25715?\nAnswer: 25694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 6*p**2 - 3*p + 91. Determine n(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**6\/6 + 17*r**4\/12 - 12*r + 4. Let d(c) be the first derivative of z(c). Find the third derivative of d(m) wrt m.\nAnswer: -120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 15) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/19779 + 6105121\/59337. Let z = -103 + w. Let r be (-3 + (-16)\/(-5))\/(-1). Which is the closest to 2\/5? (a) z (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 1 + 7. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/6 - (8\/(-12))\/(-2). Let a(o) = 32 - j*o + 2*o**2 + 29 - 46. Does 17 divide a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*g - 347, -20*g = 5*k - 24*g - 566. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*g = 29, -4*g = -5*s - g - 5. Let y(j) = 40*j**3 - j**2 + 80*j + 9. Let b be y(0). Solve s*f + f = b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -627, -1366, -2107, -2850?\nAnswer: -3595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 39 = 5*j + 24, 2*j = -h + 10. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*12\/(-8))\/((-1959)\/(-10448)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + y = -97, 3*w - y = -13 + 70. Suppose 3*x - 1585 = v, 527 = -19*x + w*x - v. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {x: 2, d: 4, s: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {b: 2, l: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2. Let x(h) = -61724*h**2 + 55*h. What is x(m(o))?\nAnswer: -61724*o**4 + 55*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 2) + 2325\/(-15). Calculate the remainder when 218 is divided by -3 - k\/6*6\/4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 396551729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -18*k**2 + 939*k + 8440. What is l(60)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 12:42 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 20664524?\nAnswer: -20664522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1487*d**3 + 7615*d - 7615*d.\nAnswer: 1487*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i = 15. Let t = i - -7. Let b be t + 1\/(-1) - -12. Calculate the highest common divisor of 143 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a microgram in nanograms?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and -43443.\nAnswer: -1954935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11279323\/10666 + -14\/5333. Let j = f + -19117\/18. What is the common denominator of 3\/7 and j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2532\/3798)\/(2\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -5.37554?\nAnswer: -5.37554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2))\/c**(-18)*(c**(-6)\/c*c)\/(c**13\/c) assuming c is positive.\nAnswer: 1\/c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1069 in 0.06, 5, -2\/11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2537676 and 7613028?\nAnswer: 7613028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.2 less than -6\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, j: 8}. What is prob of picking 2 j and 2 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 536219 + -47?\nAnswer: 536172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 889, -36, 21 in decreasing order.\nAnswer: 889, 21, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 336.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 10. Let a = q - -11. Let i = -3 + a. What is the second smallest value in i, 5, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ammb when four letters picked without replacement from {g: 1, l: 5, a: 2, m: 5, i: 3, b: 4}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -7. Suppose 2*a = g - 4, 0 - 6 = 4*g + 3*a. Solve g = 2*r + 3*q + 9, -s + 0 = 5*r - 4*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -3 - -14) + (-39 + 36 - -1) - 55\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -p - 4, -4*s - p = -2*p + 3. Let m be (6\/8)\/(s\/(-4)). Solve -2*r + r - 3*n - 3 = 0, 3 = -5*r - m*n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -944, -862, -724, -530, -280?\n\"Answer: 28*i**2 - 2*i - 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32923530 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3583033 at most as big as -3583031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 12*t**2 + 34*t + 258. What is j(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/360 and -35\/81.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 7*d - 204. Let r = d + -59. Solve 3*p = -4 - r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -219\/173401 or 1?\nAnswer: -219\/173401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**5\/10 - 2*k**4\/3 - 16*k**3\/3 + 64*k**2 - 9*k - 1. Determine h, given that q(h) = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 48. Let w be o(23). Let k = w + 122. Solve s = k*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 1. Let i be o(-1). What is the greatest common factor of i and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42537 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.67 + 36.67. Let s = 36 - j. What is the nearest to 4 in -1, s, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -5*y**4\/12 - 1588*y**2. Let a(b) = -2*b - 4. Calculate a(j(g)).\nAnswer: 20*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 12258?\nAnswer: 122.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*h + 5*y, 4*h - 5 - 10 = y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72 + -24823?\nAnswer: -24895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5.45 * -0.026\nAnswer: -0.1417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -4*j - 67. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/8)\/7*2\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -496 + 499. Solve -4*q + 0*q = 3*f - 3, -p*f = -5*q - 30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/15741 and 43\/61281144.\nAnswer: 674092584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 208463 = 8*b + 115322. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m - 3*m)*(-1 - 3 - 4)*(-3 - 4 + 6) + (-4 + 2 + 1)*(-3*m + m + 4*m).\nAnswer: -42*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 7.5. Which is the nearest to -0.1? (a) -4 (b) m (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1228\/(-20) - (-4)\/10. Let r = 94 - o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.9 - 22. Let g = -76 + 126. Let v = -251\/5 + g. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1280 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**4 - 250*c**3 - 1775*c**2 - 4050*c - 2520 = 0. Calculate c.\nAnswer: -42, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (447\/(-3874))\/((-60)\/2860).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1250588, 1250591, 1250594, 1250597?\nAnswer: 1250600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 17*z = 174, -16*z = 5*t + 9*z + 4*z - 14 + 212 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/12 + 13\/36. Which is the nearest to -0.2? (a) -1\/3 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**2 - 368*s + 11. Let p be q(-46). Solve p = -5*v - 5*c + 3*c, -5*v + 5*c + 10 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5854*c**5 + 229*c**4 + c**2 - 945294*c - 2?\nAnswer: -351240*c**2 + 5496*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26435\/(-2975) - (201\/938)\/(3\/(-32))?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 16309*k - 520870. Calculate h(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/273056 and 101\/9058336?\nAnswer: 208341728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 2*h**2 + 4*h**2)*(19 - 3*h - 25 + 15*h)*(-15 - 4*h + 15 + (0 - 1 - 1)*(-4*h + 4*h + h)).\nAnswer: -144*h**4 + 72*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -583ab4 + 20?\nAnswer: -583a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633*p + 89 = -655*p + 331 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 1856*b**3.\nAnswer: 1856*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + -34 + (-122 - -86).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 8*c**2 - 148*c + 4383. Determine w(16).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = l, -g = -4*g - 3*l - 27. Let b(m) = -48 - 8*m + 1485*m**3 - 1486*m**3 - 8*m**2 + 35 + 22. Give b(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o\/(o*o**15))\/o)\/o))**(-1\/38) assuming o is positive.\nAnswer: o**(-9\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 40. Let v be 27\/12 - 1\/d. Solve 3*z + 4*l = 1, v*z - l - 16 = 4*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886\/18 + (-2)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/5)\/m**0*(m**(2\/5)\/m)\/m**(-3))**(-1\/19) assuming m is positive.\nAnswer: m**(-9\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 - 92 + 90 - 9*y - 4*y**2 + 71*y**4 - 73*y**4 to p*y**4 + m*y + r*y**2 + z*y**3 + w and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k = 5*b - 8, -2 = 2*b + 3*k. Let c(a) = a + 17. Let f be c(0). Suppose -4*i = 1 - f. Put 0, i, b in ascending order.\nAnswer: 0, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*g + 21*g. What is the least common multiple of g and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10759 to three decimal places.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 22*h + 167. Calculate l(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14322 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 152377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19269a1 (base 14) to base 3\nAnswer: 212110021222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 - 58*h**2 - 23*h + 30. Give a(12).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -80. Suppose -3*b + c = -1. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t - 59 + 5*t + 17*t + 20*t**2 + 22*t**2 - 43*t**2. Calculate d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -11. Let w = l + -9. Suppose w = -4*z + 5*h + 16, 0 = z - 2*z - 2*h + 4. Let p(y) = 6*y + 7. Let x(b) = 5*b + 6. What is z*p(m) - 5*x(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 (base 6) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3634 + 3612.995. Let q = 0.048 + 20.952. Let j = l + q. Round j to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 262 - 25 = 0. Suppose 0*i + 396 = 2*i. Let f = i - w. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*l + 2, 5*l - 1 = 2*q - 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210231 + 113113?\nAnswer: 330010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4865 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6485 - 6132. What is the remainder when g is divided by 78?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10290 + 20583 - 1096*a - 10291)*(0*a + 3*a - a).\nAnswer: -2192*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from {o: 12, r: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((9\/(-30))\/(18\/(-300)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-35)*4\/(-16). What is the third biggest value in 0.11, 2, v?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 + 4*h**4 - 4*h**4)*(-422 - 95 - 643 + 222)*(5 + 7 - 4).\nAnswer: 22512*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2532*k + 7595*k - 2534*k - 2529*k - 45*k**2 + 22*k**2.\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 87820?\nAnswer: 966020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 4953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -20. Solve d*b - 6*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 + -171. What is the biggest value in -1\/5, -0.07, k?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6390 or -6396?\nAnswer: -6396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 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: -a7 (base 16) to base 5\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1128*l**2 - 1127*l**2 - 27*l + 15 + 5 + 5. Give t(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1620*d**2 + 9*d + 14. What is the units digit of q(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 173*y + 17. Let h(j) = 27*j + 52*j - 18*j + 6. Let n(d) = 17*h(d) - 6*v(d). Let w(x) = 108*x. Calculate n(w(a)).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 9*i + 14. Suppose s - 3*u = -s - 32, -5*s = -u + 54. Let a be m(s). Let t = 4 + a. What is the remainder when 21 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Let v(h) be the first derivative of -11*h**6\/90 - h**4\/24 + 4*h**3\/3 - 5*h**2 - 13. Let i(j) be the third derivative of v(j). What is l(i(r))?\nAnswer: 88*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 28 = 4*u + 3*k, 3*u = -3*k - 21. Let i = u + -10. Let z = i + 19. Solve -z*y + 2*x + 14 = 0, -4*x - 13 = -y - 0*x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 4:53 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10282 divided by -106?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((4*sqrt(55)*1)\/((sqrt(77) + -2*sqrt(77))\/sqrt(7)) + 5))**2.\nAnswer: -160*sqrt(5) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p = -6. Let l be (-28)\/48 + p\/(-12). Which is the third biggest value? (a) l (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 487, 539, 591, 643, 695, 747?\n\"Answer: 52*l + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 9. Determine z(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, 4233578 in decreasing order.\nAnswer: 4233578, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 162*i + 5 + 174*i - 334*i. Suppose 0*j + 25 = 5*j. Let p(x) = -2*x**2 - 4*x - 2. Let k be p(-2). Let f(n) = n + 2. Calculate j*f(h) + k*z(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5 - 7*t**3 - 8*t + 8*t**3 + 4 + 6*t**2. Let n = 26018 + -26025. Give i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**5 + 0*x**3 - x + 0*x**2 + 1\/6*x**4 - 1\/15*x**6 + 0. What is the third derivative of g(s) wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**2 - 2*v**2 + 17*v**2 - 5*v**2 + 1 + 31*v**3 + 2*v - v**2 to m*v**3 + c*v + x*v**2 + t and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(19) - (sqrt(2299) + sqrt(2299)*-2)) - ((0 + sqrt(19))*-3 + (sqrt(19) - (sqrt(19) - -4*sqrt(19)*1)**2)).\nAnswer: 14*sqrt(19) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - 5*n**2 + 5*n**2)*(-3 + 13 - n - 8).\nAnswer: -3*n**4 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/(-45) + (-12)\/(-54). Let y be 4*2\/5 + -1. Which is the smallest value? (a) -1\/3 (b) -0.1 (c) q (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20201112 (base 3) in base 8?\nAnswer: -11445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12 + -6 - (946\/(-180) - 524\/1179).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y**2 + 7*y - 16. Let m(o) = 2*o**2 - 1. Let j(h) = 5*f(h) - 30*m(h). Factor j(b).\nAnswer: -5*(b - 5)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v\/v**1))**(-42)\/(v**(-2\/5)\/v)**(2\/57))**(-47) assuming v is positive.\nAnswer: v**(561932\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = -2*f + 11*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6622 or -6637?\nAnswer: -6622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 122 (b) -5 (c) 1\/4 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2281, 3910, 5481, 6964, 8329, 9546?\n\"Answer: -5*g**3 + g**2 + 1661*g + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**5\/120 - 17*n**4\/24 - 113*n**3\/3 + 16. Let m(p) be the third derivative of w(p). Give m(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(76) - (sqrt(76) - (sqrt(76) + -4*sqrt(76)*2 + sqrt(76)) - sqrt(76)))\/(((sqrt(100) - sqrt(100)*-2) + sqrt(100))*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/751 and 77\/8.\nAnswer: 6008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 1 (c) -0.26 (d) 3 (e) 1.04 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*i - 2\/9*i**2.\nAnswer: -2*i*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12550434937.0000343 - -12550434236. Let v = n - -701. What is v rounded to 6 decimal places?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -345.38263 to 1 decimal place.\nAnswer: -345.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(132\/(-120))*(-1)\/2. Solve k*b + 0*b = 4*o - 5, 5*b = -3*o - 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-169)\/(-507))\/(2\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 45818325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230580852?\nAnswer: 2, 3, 31, 619841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**4 - 37*j**3 + 356*j**2 + 47451562*j.\nAnswer: -72*j**2 - 222*j + 712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1736220 or 0.7?\nAnswer: 1736220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*l = 92865, 25*x + l = 27*x - 61898. Suppose -17*k - x = -92814. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 5466342?\nAnswer: 5466346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)*l)\/(l**5*l)*(l**(1\/4))**15*(l*l**2*l\/(l*l**(2\/17)))\/(l**(-1\/11)\/(l**2*l*l)) assuming l is positive.\nAnswer: l**(1117\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 213174*f - 3786929523.\nAnswer: -3*(f + 35529)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -97 (b) 2\/23 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10574 and 2488.\nAnswer: 42296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/176)\/((-8)\/132)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2700488*v**4 - 28373716*v**3 + 66357204*v**2 - 455840*v + 784 = 0.\nAnswer: 2\/581, 7\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m + 5*m = 21*m + 38*m + 909 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -1466298 in descending order.\nAnswer: -1, -5, -1466298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17192 = -20*c + 22*c + 5*k, 3*k = 0. What are the prime factors of c?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -8. Suppose b - 5*l + 17 = -b, -5*b + 5*l - r = 0. Solve 17 = b*h - 3*t, 9*t = 3*h + 4*t - 21 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/153090 and -143\/153090.\nAnswer: 153090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.4874 + 1.5126. What is the fourth biggest value in 2.4, 1\/3, -0.3, r, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 864 and 127648?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2. Suppose 0 = -11*i - 6 + 50. Suppose i*l + 8 = 3*q - 6, 5*q - 3*l = 16. Let w(a) = 19*a**2 - 15*a**2 - 5*a**q. What is z(w(v))?\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*s + 29. Suppose 109 - 95 = -s*p. Let n(o) = -6*o - 2. What is n(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -333, -338, -353, -384, -437?\n\"Answer: -h**3 + h**2 - h - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -269?\nAnswer: -1\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1773750 * -0.09.\nAnswer: -159637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 - ((1 - (-1 + 2)) + (-2 - -22))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 - 39\/(-9). Let t be (-5)\/((-5)\/o) - 2. Let g = -3 - -6. Sort -1, g, t in decreasing order.\nAnswer: g, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 + 4. Suppose -d + 16 = -2*s, 14*s - 10*s + 44 = -4*d. Let y(u) = u**3 + 13*u**2 - u + 17. Calculate s*c(v) + 2*y(v).\nAnswer: 2*v**3 - v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 o when three letters picked without replacement from tgtgogxvvttgovggog?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147960\/687401 + 28\/2299. Let f = c - 7\/23. Let k be (-21)\/35 - (-8)\/5. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4) + 1)*(-1335180)\/(-630). Calculate the highest common factor of 1683 and s.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 9 = 21*i. Solve -2*r - i = -13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7929?\nAnswer: -7929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1824703478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -370696\/239 or -1552?\nAnswer: -1552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 352. Suppose -2601*a + 2602*a - 2*k - 32 = 0, -5*a + 190 = -5*k. What is the least common multiple of a and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58317 + 15862319\/272. What is the common denominator of 53\/160 and k?\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/4 + 4*q. Let y(n) = -n. Determine y(a(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {d: 3, g: 5, a: 1, j: 5, h: 5, q: 1}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44041 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.5, 0.2, 3, -0.31, 1\/4, 0 in increasing order.\nAnswer: -0.31, 0, 0.2, 1\/4, 3, 10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 191?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4381 = -7*i - 4332 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, e: 2}. What is prob of picking 2 o and 2 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44900999 and 220?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 109*t**2 - 413*t - 731. Let d be g(105). Solve 0 = d*u - 3*k + 26, 8*u - 6*u - 12 = -11*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-55)\/(-22)*48\/10. What is the second derivative of -187*u**2 + f*u - 68*u - 62*u - 42*u + 37*u wrt u?\nAnswer: -374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47794722?\nAnswer: 2, 3, 7965787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11 = 1. Let i be 1\/((-1)\/3*-1). Suppose m = -i*m. Solve -t*v = -m*v + 15, 2*v - 2 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + 290*b**3 + 20733*b**2 - 42340*b + 21316.\nAnswer: (b - 1)**2*(b + 146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 minus -10.2016296?\nAnswer: -104.7983704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3*b - 4074, 8*h - 2*b + 4089 = 11*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*(-20)\/8)\/(5\/12). Suppose a - v*u = -2*u + 18, 2 = -a - u. Suppose 5*b = 3*z + 2*b - 210, 0 = -5*z - a*b + 329. List the prime factors of z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4\/(-22))*(-166)\/(-249).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3 = 4*a + 10, 0 = 3*y + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*f**2 + 4*f - f**2 - 4*f**2 - 3*f**2 - f**2 + 3*f**2 + (-4 + 4 - f)*(5 - 5 + f) + 6*f + 4*f**2 - 6*f + (-3*f + 9*f + 0*f)*(0*f + 3*f - f).\nAnswer: -44*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 3*p**2 + 2*p + 3. Let g be m(3). Let r = -1 + g. Suppose -26*l = -28*l + r. Which is the smallest value? (a) -1\/6 (b) l (c) -2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -2*m**3 + 0*m + 0*m**4 + 14*m**2 + 0*m**5 - 5\/12*m**6 + 0. Differentiate s(z) with respect to z.\nAnswer: -150*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 50136770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6451 is divided by 805.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1222 + 4555. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 513*u**4 - u**3 + 9*u + 49*u + 2*u**3 + 515*u**4 to v + g*u**3 + x*u + j*u**2 + c*u**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3206 - 3094. Let u = -65 - -93. What is the greatest common factor of u and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 6460. Let b be z(0). Does 8 divide (-4)\/(-26) + b\/(-260)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -14188880*j. Let c(z) = 2*z. Give c(v(u)).\nAnswer: -28377760*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6926571 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2 + 2*u - 1. Let l be a(-3). Let z = l - -34. Let b(g) = g**2 - g + 337. Is b(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 497, -15 in decreasing order.\nAnswer: 497, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 458652 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than 443091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -27.4, -4\/7, 1\/3, 0.0601, 5, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 53*a**2 + 65*a + 14. Give s(6).\nAnswer: 2312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 7*f**2 + 8*f - 38. Calculate i(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*o - 101*o - 2*u = 20, -4*u = -4 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2249211135?\nAnswer: 3, 5, 941, 159349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 141761?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197780 by -2.\nAnswer: -98890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2*m**5\/25 + m**4\/10 - 2*m**3\/15 - m**2\/5 + 1. Find s such that b(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273925.\nAnswer: 5, 50957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -121 - (-2690 - -2671)\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5, -24, -91, -230, -465, -820?\n\"Answer: -4*f**3 + 9*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215515150?\nAnswer: 2, 5, 1597, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, y: 7, r: 10}. What is prob of picking 1 n and 3 y?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5067 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 + 90*u**3 - 1413*u**2 - 27540*u - 93636.\nAnswer: -(u - 51)**2*(u + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 105\/11602?\nAnswer: 105\/11602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6579\/(-459))\/(14\/(-6) - -2). Which is greater: l or 24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 + 7*s - 5. Let g(l) = -3*l**2 - 3*l + 2. Let u(o) = 4*d(o) + 9*g(o). Let q(t) = -t**2 + 3*t - 2. Let j be q(3). Determine u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-171) + (-1564)\/(-74290)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/24 and 149\/85602?\nAnswer: 342408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**3 + l**2 + 2*l + 1. Let r be y(-1). Is 2108 - (r + (-4 - (-7 - -2))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*t + 300, 4*l - t - 4*t + 243 = 0. Let n = 59 + l. Let p(f) = -8*f**2 - f**n + 2 + 10*f**2 + f. Determine p(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*v + 22 = 382*v - 5*r, 3*v - 5*r = 36 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -454, -476, -444, -334, -122, 216?\n\"Answer: 4*r**3 + 3*r**2 - 59*r - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1464 - 1404 - 736 = -212*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 378 + -10. Does 46 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14811.\nAnswer: 3, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010010000100 + -11000110000110?\nAnswer: -10000011000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/8*(-4)\/6. Suppose -g*t + 53 = -0*o - o, -3*t - 183 = 3*o. Let p be -3 + o\/19*-1. Which is the third smallest value? (a) -2\/3 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 14 + 8 = b, 0 = -4*t - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -649 and -0.1.\nAnswer: 64.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 1. Let q = 35.094 + k. Let v = q + -0.061. Round v to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1210432*b*n**4 + 5410752*b wrt n?\nAnswer: 4841728*b*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 4 + (-1 - 1). Suppose 2*w - 8 = -5*x - 38, 5*w = -25. Let g be -10 - -11 - (0\/4 - 1). Sort -5, n, g, x in decreasing order.\nAnswer: g, n, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + (4 - (-3 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.002+371\nAnswer: 370.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 7:46 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7590\/(-1035)*79\/(-2)*3?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -1\/54463030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46290, -46301, -46318, -46341?\nAnswer: -46370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59767691 to the nearest integer?\nAnswer: 7731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13\/(-91) + 1\/(21\/10650)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + -31. Let a(f) = -f**3 - 5*f**2 - 3*f - 2. Let z be a(-2). Let c = b - z. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9036664 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 409950 and 842675?\nAnswer: 15168150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/((-1)\/6). Calculate the remainder when 31 is divided by (-26)\/d + (-16)\/24.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*12\/(-27). Which is the closest to 2\/3? (a) 3\/7 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.350081 - 0.35. What is c rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.03 from 0.9737737.\nAnswer: -1.0562263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from atdrtyrrdytrryd. What is prob of sequence yrrr?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 2862 - 1308 + 2326. What is the smallest common multiple of g and 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -11*h**3 - 2*h**2 + h + 2. Let q be r(-1). Let y be 5*4\/q + 3. Let a be (-4)\/10*3*-5. Which is bigger: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**5\/30 - 5*b**2 + 10*b. Let v(w) be the first derivative of s(w). Let r(i) = i**2 + 0*i**2 + i**2. Give r(v(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*s)*(-12 - 55 - 70*s + 81).\nAnswer: 140*s**2 - 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -26 - (-19 + 6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8936 plus -160213?\nAnswer: -151277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 666*a**3*g*q**3 - 70*a**3*g*q + 46*a**2 - 2*a*g*q + 5*g*q**3 - 2*g*q**2 - 10*q**3 wrt a.\nAnswer: 3996*g*q**3 - 420*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Calculate the common denominator of r + -1 - 47\/20 and -25\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = v - 5*z, 5*v + z + 16 + 17 = 0. Let m(x) = -x**3 - 6*x**2 + x - 2. Let i be m(v). Let u = i + 9. Which is smaller: u or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 4\/3, -1, -12\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7989978 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 593045 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -15 - 13) + (-17)\/(153\/(-135))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - -2. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 200 - 51*m + 1\/4*m**2 = 0. Calculate m.\nAnswer: 4, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2170 + 4154. What are the prime factors of h?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 - -28 - 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 38 = z, -185 = -5*b + 4*z - 0*z. Let i = 33 - b. Is -4083*((-3 - i) + (-8)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 28, 0, -1.37, 0.1?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2298719, 2298720, 2298721, 2298722?\n\"Answer: h + 2298718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 9*q - 6. Let r be d(8). Is 31 a factor of 33\/(-12)*(-56)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194503 is divided by 860?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Calculate the greatest common factor of 410912 and 38048.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d11a + 2?\nAnswer: d11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q**2 - 11*q**2 + 6*q**2.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**4)\/m))**(-36\/5) assuming m is positive.\nAnswer: m**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 7*d = 5*d - 534000, -534000 = 5*w + d. Round w to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -356.5332 to the nearest integer.\nAnswer: -357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 6287*y - 6291*y + 46, 2*t = 4*y - 34 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (1859 - 70\/(-14)) + -8. Solve -p*v - 20 = -1852*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3731*q**2 + 4601*q**2 - 6110*q**2 as x + o*q**2 + t*q and give o.\nAnswer: 2222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -21*t**2 + t - 11. Suppose 0 = 3*j + 2*j + 55. Let i be l(j). Calculate the remainder when 97 is divided by i\/(-77) - 4\/14.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*1*sqrt(891) + (sqrt(891) - (sqrt(891) + sqrt(891) + 0)*-4)*-2)**2 + 0.\nAnswer: 432*sqrt(11) + 128308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1740534.335 to the nearest 10000.\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2153, 3881, 6777, 10847, 16097, 22533, 30161?\nAnswer: 38987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-24) + 214\/6. Suppose 5*v - 2*v = y. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 12 + 26 = 0. Let w be ((-36)\/63)\/((-2)\/7). Suppose w*b + k = -k + 6, -5*b - k = -h. Solve -m - 4*j + 21 = b*m, -5*j + 5 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 11, 7, 11, 29, 67?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -518\/9 (b) 72 (c) 14\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/893527 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1175100839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(17) + ((sqrt(833) + 1)**2 - sqrt(17)))*6.\nAnswer: 84*sqrt(17) + 5022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15665603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -2. Let h = -4 - w. Let n be ((63\/6)\/(-7))\/(-5 - -2). Which is the second smallest value? (a) h (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174744558.8 take away 2579?\nAnswer: -174747137.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-28))\/(((-2)\/3)\/(56\/(-21))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from mmffffffmm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57465*j**3*p**2 + 40*j**3*p + 403*j*p wrt p?\nAnswer: 114930*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -25*h + 1. Give j(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1244 divide 410810790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 224, 348, 472, 596?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9367 - 9362. Let y(l) be the first derivative of 3\/25*l**f - 3\/5*l**3 - 40 + 6\/5*l + 3\/10*l**2 - 3\/20*l**4. Factor y(m).\nAnswer: 3*(m - 2)*(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**6 - 7*n - n - 2*n**3 - 20*n**2 + 7*n wrt n.\nAnswer: 360*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64921 is divided by 10760?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**2 + 62109835*a + 41406550.\nAnswer: 5*(a + 4140655)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 653*k + 0 - 1308*k + 656*k.\nAnswer: k - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 53, 461, 1683, 4163, 8345, 14673?\n\"Answer: 74*h**3 - 37*h**2 + h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17552, -17553, -17554?\n\"Answer: -u - 17551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 2*p + 3. Let o(d) be the first derivative of -d**3\/3 - d**2\/2 + 2*d + 8. Let u(a) = 5*o(a) - 4*v(a). Factor u(q).\nAnswer: -(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064749643 to the power of 1\/2, to the nearest integer?\nAnswer: 32631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times -22?\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 25*v**2 - 2 + 37*v**2 to the form x*v + s*v**2 + j and give s.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*u + 42*u - 27. Suppose 5 = -u*y + 5*j - 1, 4*y - 5*j + 3 = 0. Determine m so that 0 - 1\/3*m**2 - 1\/6*m**y - 1\/6*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 2*w + 1. Let u(b) = 86*b**3 + 4*b**2 + 8*b - 117. Let t(c) = 4*i(c) - u(c). What is the first derivative of t(q) wrt q?\nAnswer: -258*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -7*z**6\/6 + z**3\/6 - 31*z. Find the second derivative of w(h) wrt h.\nAnswer: -420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from mtliiqj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-14)*6\/18. Let o(i) = i + 6. Let m be o(0). Let j be ((-4)\/m)\/(3\/1). Which is the nearest to n? (a) -1\/4 (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 15 = 23*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 305*w**3 - 573 - 4*w - 398*w**3 + 3*w + 2*w - 603*w**3 with respect to w.\nAnswer: -2088*w**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 827 = 3263. Suppose -x = -10*z - 49. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/10)\/(1\/(-5)). Let z(x) = -3*x + 1. Let f be 3 + -3 - (1 + 0). Let g be z(f). Solve l*p = p + g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 6:58 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a hour?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 0*z = -6*p - 11*z + 52 + 20, -10 = 5*z - 0 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79771786109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 107.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -812 - -818. Let m(t) be the third derivative of 1\/30*t**5 + 2\/3*t**3 + 1\/120*t**r + 0*t + 0 - 1\/12*t**4 + 8*t**2. Calculate m(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3075.15221 + -7.\nAnswer: -3082.15221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 913230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/120 + t**5\/10 + t**4\/8 - t**3\/2 + 6*t**2. What are the prime factors of u(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 3. Determine b(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 48 = 4*k, -7 = -5*k + 5*a + 8. Suppose -3*c = g - k - 12, -5*c = -3*g + 43. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 + 4*w - 5. Let a(d) = -3*d**2 + 3*d - 4. Give -6*a(g) + 4*v(g).\nAnswer: 2*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 421, 1039, 1901, 3007, 4357, 5951, 7789?\n\"Answer: 122*w**2 + 252*w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k**9\/k)\/k)\/k*k**33*k)\/(k*(k*k**(-1\/6)\/k)\/k*k*k**(1\/3)\/k) assuming k is positive.\nAnswer: k**(251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*n**2 - n**2 - 4*n**2 as r + k*n**2 + j*n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14a (base 13) to base 5\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12857 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123329549?\nAnswer: 7, 163, 108089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 9)*(11 - 9 + 13)*(5 - 2 - 5)*((0*c - c - c)*(0 + 0 + 1) + 1 - 2*c - 1 - 3 + 3 - c).\nAnswer: 1350*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8505.096747566.\nAnswer: -8505.096747566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/77 and 40\/473.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 769 - 12754*p - 11*p**4 - 5*p**2 + 2812 + 7*p**2 + 12740*p with respect to p.\nAnswer: -44*p**3 + 4*p - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-1)\/(k**(5\/6)\/k*k*k*k**(-6)))**48 assuming k is positive.\nAnswer: k**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + j = 1857 + 1425, 3*j = 3*o - 2454. What are the prime factors of o?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 1\/600*m**6 + 1\/300*m**7 + 0*m**3 + 1\/840*m**8 - 1\/600*m**5 + 0*m**4 + 0*m + 0 - 38*m**2. Let i(t) = 0. What is t?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/13)\/((-4)\/(-26))*15\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - 28\/(6 + -13). Let k be d\/(2 - 7\/3) + 0. Let w(l) = -l**2 + 10*l. Give w(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1\/6, 16, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 8*i + 5. Suppose -85 = 5*q - 4*w - 106, 2*q - 4*w = 6. Calculate o(q).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 158868 = -236466. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 603*w**2 - 28150*w - 85. Calculate m(51).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 36*y**3 - 2*y + 1. Let q be i(-3). Let m = q - -1985\/2. Let r = 181289\/22 + -8243. Find the common denominator of m and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5 - 408*x**4 - 1237*x**3 + 1632*x**2 + 4932*x = 0.\nAnswer: -3, -2, 0, 2, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-10) - 1) + 16\/20. What is the least common multiple of 15 and 18\/81 + 43\/9 + f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 10121?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17458 - -21092. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4.\nAnswer: i**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.661087 centuries to years.\nAnswer: 366.1087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/26862 and -97\/8547?\nAnswer: 188034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, u: 2, k: 4}. What is prob of sequence yyku?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l - 26 - 23 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3513 + -3515. Suppose -r + 3 = 3*m - 4*r, -2*r - 4 = 0. Put 10, y, -5, m in descending order.\nAnswer: 10, m, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-3))\/(-1) + -8 + 14. Suppose -5*p + c = -7. Suppose 14 = 2*m - 4*x, -3*m + p*x - 4 = -16. Sort 2, -4, m in ascending order.\nAnswer: -4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 4822*n - 4826*n + 24, 4*x - 3*n - 70 = 0 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n + 6 - 6)*(5*n - n + 2*n)*(2 + 2 - 2).\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) 1 (b) -0.76 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let d(z) = -5*z**2 + 8*z - 8. Suppose 0 = -0*a - a - 8. Let w(r) = -3*r**2 + 5*r - 5. Let l(s) = a*w(s) + 5*d(s). Determine o(l(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*1190357\nAnswer: -2261678.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0 - 619*m**2 + 205*m**2 + 212*m**2 + 212*m**2 in the form g*m + r*m**2 + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 19*s**3 - 8*s**3.\nAnswer: -26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 5*k**3\/2 + 2*k + 1228. Let y(z) = 2*z**2 - 24*z. Calculate y(h(v)).\nAnswer: 450*v**2 - 360*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/5 of a second in milliseconds?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -48, -0.3, 0.2, -2, -1\/48, 0.049?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 31. Calculate w(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196?\nAnswer: 2, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.1 (c) 1.12 (d) 3 (e) -77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -94*h**2 + 43*h**2 + 42*h**2 - 11. Suppose -4*o = -13 - 11. Let j(r) = 5*r**2 + 6. What is o*g(n) + 11*j(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 131 = -3*x, 4*v - 4*x = 3*v - 16. Let k be (-52)\/14 - (-8)\/v. Put -1, 4, k in decreasing order.\nAnswer: 4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1\/3)\/m))**2\/(((m**(-2\/15)\/m)\/m)\/(m*m**(-2))))\/(m\/(m*m*m**2\/m)*m**(-2))**(-2\/7) assuming m is positive.\nAnswer: m**(93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7859271 to the nearest integer?\nAnswer: 2803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13*l + 110 = 0. Let x(u) = 248*u**2 - 1. Let y be x(1). Suppose -7*v + 110 + y = 0. What is the remainder when v is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 157819.8 or 2\/15?\nAnswer: 157819.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -71. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 1. Let o = 0.2 - 0.9. Let w = o - m. Is 1 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*d + 19 = 7, 2*n = -4*d - 14. Suppose -2 = -n*v + 2*v. Let p be 15\/v*32\/6. Calculate the highest common factor of p and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -53.28. Let z = -0.28 + x. What is the nearest to 0 in -1, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8046452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkk when three letters picked without replacement from uukkddkkkukudkuuuk?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -4. Let x = -8 + f. Let i = x - -4. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 661675430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 4*u - 2 = -2*t + 6*u - 22, -t + 314 = -3*t + 23*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*b + 2*b**3 - 11*b - 3*b**3 - 26*b + 6*b.\nAnswer: -b**3 + 33*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/9)*d**(-2\/43) assuming d is positive.\nAnswer: d**(-61\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0 - 1 + x + 1. Calculate p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 + 2*v + 3. Let p be m(-2). Let t be p*1 + 11 + -10. Let x = 142 - 94. What is the highest common divisor of x and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 48*w**2 + 352*w + 42. Let r be d(-39). Solve r*t - 3 = 3*m, 5*t + 52 = -3*m + 41 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383384 is divided by 63897.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282026 by -1.\nAnswer: 282026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43 and -44.\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4816256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613 is divided by 401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7918*f**3 - 8002*f**3 - 723*f**2 + 2105*f**2 + 3702*f - 2*f**4 + 16082*f**3 + 3204.\nAnswer: -2*(f - 89)*(f + 2)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 91 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1042 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiziiiniiiii. Give prob of picking 4 i.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**4 - 386*o**3 + 9646*o**2 - 41016*o - 22968 = 0. What is o?\nAnswer: -1\/2, 6, 33, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4*j - 23 = 0, 3*o - 16*j - 13 = -18*j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*i - 305, 2*i = -5*b - 3*i + 700. Suppose -j = j + h - 263, b = j + 5*h. Suppose 0*y - j = -5*y. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*b + 10, 5*k - 992 + 1008 = -3*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 + -2. Let z be -3 - (-7 + 1) - 9. Let w be z\/(-10)*(-4)\/(-6). What is the biggest value in f, w, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255967 is divided by 3116?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62028)\/966603 - (0 + -1)\/11*2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3aa87 (base 11) to base 15.\nAnswer: -12528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(32))**2*-3 + -2.\nAnswer: -434 - 192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 3*a**2 + a**2)*(5*a + 2 + 3*a - 3*a)*(2 + 4 - 5).\nAnswer: -5*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 143*a - 11. Is q(4) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 35 = -t, 791*t - 1599*t + 66 = 6*b - 806*t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*m - 8*m + 4 + 0*m)*(-m + 5*m - m) to the form s*m**2 + x*m + h and give s.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4658.45 + -4561. What is c rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/16 and -65\/1278?\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -5. Let x(g) = 4*g + 1. Let r be x(-3). Let h = z - r. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*t - 2, 0 - 2 = 3*q - 2*t. Let c(i) = i**2 - 2*i - 4. Let l be c(q). What is the nearest to 1 in -1, l, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -21, 2\/17, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1816, -7275, -16372, -29107, -45480, -65491?\nAnswer: -89140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - a = -59974, 30020 = 2*z - 19*a + 14*a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1 + 1 + 5 - 9*i. Let r be u(-5). Let g(m) = -m**3 - 14*m**2 + 20. Let v be g(-14). What is the greatest common divisor of v and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = x + 10. Solve -x*v + 5*r + 18 = -2*v, 4*v - 2*r = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 13730 = 4*z - 13765, 2*z + 4*a - 3 = 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23\/3 in 5\/6, 2\/15, 0.3, 0.13?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**5\/20 - 7*n**4\/6 - 13*n**3\/6 - 4*n**2 - n + 44. Calculate o(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43709?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1464*d**2 + 103*d**2 + 1065*d**2.\nAnswer: 2632*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j + j)*(-3 - 3 + 7).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let x(g) = g**2 - g + 6. What is the remainder when 46 is divided by x(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + f - u = 9, -5*f + u = -24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*d + 160*d + 6641 - 2168 + 1222 = 0 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*o = -22, -4*y + 2*o + 12 = -2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 6:11 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/40922 and 3\/143227.\nAnswer: 286454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.221 * -1328101.\nAnswer: -293510.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12*y + 3. Give b(-6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1203 (base 9) in base 11?\nAnswer: -743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850927576 to the power of 1\/2, to the nearest integer?\nAnswer: 43022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:03 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -109, -216, -345, -484, -621?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6)*0\/6. Suppose 7*x + f*x = 98. Let n be 7\/(-28) - x\/40. Which is the nearest to 1? (a) n (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = q, -q - 2*u + 35 = 34. Sort 203, -3, q in increasing order.\nAnswer: -3, q, 203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122 or 17\/5?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o*o\/(o*o**(-15)*o))*o**(-18) assuming o is positive.\nAnswer: o**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384708?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/19342 and 93\/1292.\nAnswer: 657628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -47*a**2 + 15*a + 3. Let m be q(3). Let k = m - -1330. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37, -59, -95, -151, -233?\n\"Answer: -y**3 - y**2 - 12*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12418)\/(-1774))\/((-7)\/26)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 20*a**2 + 1075*a - 269. Let y be g(-61). Calculate the greatest common divisor of y and 402.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5962 divided by -271?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j - 26. Let t(o) = -5*o + 9. Let h(z) = -4*p(z) - 11*t(z). Let a be (12 - 2)*6\/4. Suppose 5*b - a = -0*b. Calculate h(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2. Let h(m) be the second derivative of -m**4\/6 + 2*m. Calculate h(b(p)).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i. Let b be c(-1). Suppose b*d - 4*d = -52. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 284 + -10*(-1)\/(-2). Let c = -145 + m. List the prime factors of c.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r + 5*k + 355, -2*r - 4*k = -136. What is the greatest common divisor of 28 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2. Let i(p) = -p**2 + 5. Let g(b) = -2*b**2 + 6. Let t(v) = -5*g(v) + 6*i(v). Determine x(t(k)).\nAnswer: 48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2246*u + 2244*u + 6 - 14 + 8.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 4, -2.3, -4\/15723?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9379 - 65549\/7. Let v be (84\/15)\/(12\/30) + 1. Is v greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -1621, -3688, -6583?\nAnswer: -10306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**5\/20 + j**4\/3 - j**3\/3 - 3*j**2\/2 + j. Let q be p(-4). Suppose q*i - 150 = 115. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*c + 3 - 4, -3*c = 2*w + 7. Let j = 0.09 + 1.41. Let k = -1.8 + j. What is the closest to c in 3, 4\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2305 - 0.9773848.\nAnswer: -2305.9773848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 2*w - 6, -4*u + 7 = -2*w - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/27 or 13.9?\nAnswer: 13.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3661*p**3 - 2109*p**3 + 5796*p**3.\nAnswer: 26*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 7 - 10 - 75*o + 51*o + 17 + 41*o.\nAnswer: 17*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 1, s: 2, k: 1}. Give prob of picking 1 z and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18*a**2 - 54*a + 2. Let b be j(3). What is the greatest common factor of 64 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 29*c + 2 = 0. Let w(p) = -c - 7*p + 8 - 6 + 6*p. Suppose -2*o = -13 + 3. Calculate w(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a - 1. Let h(d) = d. Let x(t) = 11*h(t) + 2*v(t). Let p = 4 - -1. Give x(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -34. Let q = f - -4. Suppose q*y = -0*y + 2, -5*y = -3*z + 7. Calculate the remainder when 9 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 18 = -2*h. Suppose -h*l = -1131 + 243. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -1.16368, -4\/5?\nAnswer: -1.16368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/35)\/((-11)\/(-5) + -4). What is the second smallest value in f, 0.3, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*l - 89*l = -9, 0 = -2*o - 4*l + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42)\/(3\/2*4\/(-6)). Let y = 42 - n. Solve -r + 1 + 4 = y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91598.70382 + -91600. Let f = b - -1.3. What is f rounded to 4 decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 269647722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 29 - 4)*(-2*t + 1 - 1)*(-1 + 0 - 1) + 1235 - 1235 + 74*t.\nAnswer: -62*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -313 > -1566\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/79 + 180\/869. Let w = y + 0. What is the second smallest value in w, 3, 1, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-7))\/b)\/b**11 assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 14 = -13*x. Put -3, -21, 4, x in decreasing order.\nAnswer: 4, x, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13115 != 13115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 691609 + -7613534\/11. Let p = 532 + z. What is the common denominator of 11\/10 and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*c + 487*c - 21 = 11*z + 8, -6*c - 3*z + 183 = 0 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h + 92. Is s(13) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 100695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17592695 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 19, -2, -45, -116, -221, -366?\n\"Answer: -g**3 - 2*g**2 + 8*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -12 + 40. Suppose -4*s - f = -s - 69, -9 = 3*f. Calculate the remainder when s is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**4 + 3*d**3 - 1. Let c(x) = 9899*x**4 - 15*x**3 + 5757*x**2 + 5. Let u(g) = -c(g) - 5*t(g). What is the third derivative of u(o) wrt o?\nAnswer: -237696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 567?\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + 49*i + 6. What is v(-8)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a year in months?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sytsryfk. Give prob of sequence ykk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*-3*5)\/(3*1*sqrt(300))*3.\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -1\/5 (b) -3\/2 (c) -1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 1\/4, -122.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4109.207 millennia to centuries.\nAnswer: 41092.07","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -3213 - -5790. Does 138 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (318\/15)\/(((-2)\/5)\/2). Let s = z + 120. What is the remainder when 151 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**3 - 2 + 5*y**3 - y + 12*y**2 + 2*y**3 + 6*y**3 to b*y**2 + s + w*y + m*y**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 5*m - 405. Let s = 42 + m. Put s, 23, 4 in decreasing order.\nAnswer: 23, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 5*w. Let g be p(-4). Let j be 7\/3 - g\/6. Let d(n) = -j*n - 3*n + n + 4*n. Let t(r) = 11*r. Calculate d(t(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*h - 4*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 + 2*v - 2. Let g(l) = l - 1. Let c(s) = 2*g(s) - y(s). Let q(w) be the first derivative of -w**2 - 481. Determine q(c(h)).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/5 of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14, 1, 32, 85, 166, 281?\n\"Answer: b**3 + 2*b**2 + 2*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 14 = -2*f, -4*v - 2*f + 27 = f. Suppose s = v*s - 70. Let q = s + -8. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u. Let a = -2.52 - 19.48. Let k = a + 22.01. What is the closest to u in k, -4, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11, -2, -33186?\nAnswer: -33186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 73. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**2 - 518*o - 12364 = 0.\nAnswer: -22, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77307, 77321, 77357, 77427, 77543, 77717, 77961, 78287?\nAnswer: 78707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**3 - 24*o + 50. Let q(i) = -i**3 - 2*i - 1. What is -3*q(k) + v(k)?\nAnswer: -2*k**3 - 18*k + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348187 by 348187.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5695775*m**3 - 11391572*m**3 + 5695845*m**3.\nAnswer: 48*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {t: 2, e: 6, x: 5, i: 2, h: 1, y: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92965.\nAnswer: 5, 18593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 475808659 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*n**2 - 275*n**2 - 166*n**3 - 350*n**2 + 164*n**3.\nAnswer: -2*n**3 - 698*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -25*-2*(-4*1)\/(-8). Suppose -10*b = -5*b - g. What is the remainder when 12 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14561479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 288\/(-504) + (-22 - 22456\/(-882)).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d4a1a6 + 1?\nAnswer: -d4a1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 6*v + 3. Let m be n(3). Suppose 0 = -2*y + 10, -m*t + 2*y + 27 = -128. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/36)\/(1\/28). Suppose 3*m - 6*m = a - h, 5*a - 4*m = -22. Let t(p) = 3*p**3 + 3*p**2. Calculate t(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -10*p - 13. List the prime factors of (-1 - 26\/(-14))\/(p\/(-189)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10054)\/(-2742))\/(77\/(-147)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9117098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - -7?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 - 78. What is the greatest common factor of 16 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -34*b - 389. Let j be s(7). Let t = -626 - j. Solve -o - 3 = t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1911.28*-0.5\nAnswer: 955.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-50)\/9*(-252)\/(-96). Let x = 65\/4 + g. Suppose -x*v**3 + v**4 + 5\/3*v - 1\/3*v**2 - 2\/3 = 0. Calculate v.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -11*d + 1814. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (850\/4 + 2)\/(24\/32). Let i = 162 - x. Let p = i + 233. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4123572 + -0.4\nAnswer: 4123571.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-4 + sqrt(176) + sqrt(11))**2 + (sqrt(77)\/(sqrt(21)\/sqrt(3)) - sqrt(11))**2 + (6*(sqrt(110) - sqrt(110)*2) - sqrt(110))\/(sqrt(360)*2) + -3).\nAnswer: -487*sqrt(11)\/12 + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50)*1)**2 - sqrt(50))*4 + 5 - (1*sqrt(32) - (sqrt(2) + (1*(sqrt(2) + (sqrt(128) - sqrt(2))))**2))) + -1.\nAnswer: -23*sqrt(2) + 332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 14 = -5*q - 50 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 - 48*d**2 - 4347*d - 47402. Determine v(-11).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 123 + 60. Let h(c) = 4*c**2 - c + 1. Let s be h(1). Solve 0 = s*v - 3*o - r, -4*v - 2*o + 3*o + 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 14*q**2 + 12*q + 2. Let s = 19 - 16. Suppose -2*v + s*d + 27 + 6 = 0, -2*d - 18 = -v. What is the lowest common multiple of v and b(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-26)*4*3\/((-42)\/(-371))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = i, 0 = 5*t + 4*i - 2*i - 12. Solve -5*s - 2*o = 5, -o - t = 3*s + s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 (base 16) in base 3?\nAnswer: 21221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1315 + -1286. Let t(m) = 3*m**2 + m. What is the remainder when t(4) is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -3, 2\/11, -2\/7 in increasing order.\nAnswer: -3, -2\/7, 2\/19, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 3*p**2 - 6*p. Let f = 337 - 263. Let u(d) = -8*d**2 - 2*d**3 + 56 - 17*d + f - 131. Determine 8*h(l) - 3*u(l).\nAnswer: -2*l**3 + 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 9*p**2 + 7*p + 11. Let x be m(8). Suppose -x*o = -4 + 16, 2*w + 2 = -o. Put 3, w, 4 in decreasing order.\nAnswer: 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(sqrt(84) - (sqrt(84) - 2*sqrt(84))*-1))\/((-3*-1*sqrt(72))\/(sqrt(294) + sqrt(294)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*n + 58*n = 318. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 divided by 970?\nAnswer: 52\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 + 26*h**3 - 7 - 6 + 4 with respect to h.\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 11*m + 14. Let u(d) = 5*d + 7. Give -13*u(i) + 6*y(i).\nAnswer: i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 18 - 6. Suppose -2*d + l*u - 5 - 1 = 0, 4*d - 3*u = -37. Let f = d + 21. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 g when four letters picked without replacement from ggwwwxwx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 9*w - 14. Let u be n(-4). Suppose -6*a + 7*a = -u. Let i(x) = -2*x - 6. Determine i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (3 - (-32 + 15) - (-5 - -10))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -96e?\nAnswer: 96b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890.835 litres to millilitres.\nAnswer: 890835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10694909 to the nearest integer?\nAnswer: 3270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410, 303, -322, -1465, -3126?\nAnswer: -5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1663911, -3327819, -4991727, -6655635, -8319543, -9983451?\n\"Answer: -1663908*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2124 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129436 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8813606 and 248908?\nAnswer: 193899332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 minus -2.2?\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r - 1. Let w be u(1). Suppose 0 = -w*m + 7*m + 12. What is the second derivative of 15*f**m - 9 + 29 + 38*f - 20 wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22313 (base 7) to base 10\nAnswer: 5645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 5*r - 5. What is g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 11*i. Let g(w) = 5*w**2 - 18*w. Let s(a) = 6*a**2 - 21*a. Let f(v) = 5*g(v) - 4*s(v). Give -11*f(x) - 6*k(x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 0 - (-120 + 140) - -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(660\/16))\/(86\/159831*59)?\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 3*h**2 + 6*h**2 - h**2 to a*h**2 + f + c*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5\/3 + 1680*v**4 - 1188712*v**3\/3 + 27068176*v**2 - 349603348*v\/3 - 604051744 = 0.\nAnswer: -3, 8, 139, 977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3*l + 3*l)*(0 + 1 - 4) + 2352 + 3*l + 3*l - 2362.\nAnswer: 12*l - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 12*z + 16. Let b(y) = -5 + 2*y - 2*y + 0*y - 4*y. Let m(h) = 16*b(h) + 5*t(h). Let r(v) = 2 - 5 - 35*v + 3 + 33*v. Give r(m(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y - 212534 = -8*y + 9*y. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2615 - 2617. Let y(s) = 4*s**3 + s**2 + 2*s + 2. What is y(o)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18 - -18) + 4\/2. Let p(y) be the second derivative of 5\/12*y**4 + z*y**2 + 0 + 0*y**3 - 2*y - 1\/20*y**5. Determine p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g + 252. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56562, 54297, 52028, 49755, 47478, 45197, 42912?\nAnswer: 40623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15270, 29239, 43208, 57177, 71146?\n\"Answer: 13969*d + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 4, 0.13679?\nAnswer: 0.13679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8*k = 11*k + 112, -2*y - 5*k + 20 = 0. List the prime factors of (496\/y)\/(15\/225).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/13 in 2\/2091, 14, 2\/7?\nAnswer: 2\/2091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/(((-56)\/49)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/13, 25, 1\/3?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3387?\nAnswer: 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - b + 200 = 0. Suppose b = 5*y + 4*i, 0*y - i = -2*y + 23. What is the second derivative of 6*w - 26*w**5 + w + 24*w - y*w wrt w?\nAnswer: -520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44090 and -0.0062.\nAnswer: -273.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 3 + 9598 + 0. Suppose -p = -5*r - 3*a + 9370, a + 18966 = 5*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-14)\/l*(l**(-3)\/l)\/l*l*l)\/(l**3\/l*l*(l\/(l\/(l*(l**(-9)\/l)\/l*l)*l))\/l*l) assuming l is positive.\nAnswer: l**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139982986 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10 + 55 - 2*o**2 + 30*o - 3 - 8. Let w be y(16). Solve 0 = 5*p + w*p - 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 389*k**6\/30 - k**3\/3 + 85*k**2\/2 - 92*k + 2. What is the second derivative of c(w) wrt w?\nAnswer: 4668*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6 (b) -0.021 (c) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4 + 3 + 3 - 4 + k. Let d be w(-7). Which is the biggest value? (a) 1 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 10 + (-5 - -2) + (-3 - -2328)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-4 - (-2 - (-3 - -3))). Solve -s*j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.783847, -2, 14?\nAnswer: -2.783847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-44)\/20 - -3)*37. Let q = h - 29. Which is smaller: q or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10308 times -1460\nAnswer: 15049680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 17 in ascending order.\nAnswer: -1, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1672 and 70048.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 16*z**2 - 17*z + 6. Calculate b(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220 + -1431531?\nAnswer: -1431311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 2. Let c = 143\/5 - 29. Is c not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203479 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18413 is divided by 6137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-2) + -2 + 135 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1727.38 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a + 4. Let r be d(-6). Let b = -27 + r. Which is smaller: b or -1\/73?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21891299.\nAnswer: 3631, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 72*t**2\/7 - 57*t\/7 + 22\/7.\nAnswer: (t - 11)*(t + 1)*(7*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pklpppkkp. Give prob of picking 1 l and 2 p.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 644267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 15 = 3*z. Suppose z*v - d = 2*v + 13, -5*v = 2*d - 72. What is the least common multiple of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5769 - 5762) + 0 + (1 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 3*f = -12*s + 2, 0 = 2*s + 4*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-6)\/(-63) + 7548\/476\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137007 and 12530871.\nAnswer: 162901323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76871312 divided by -1372702?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 - 4 - (-62 + 3). Let r = 100 - k. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 12. Let h(q) = -q**2 - 12*q - 12. Let g be h(-9). Suppose d + 2*d = -g, 2*x + 4 = 2*d. Is b(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8, 3, 106, 20, -1, -4 in decreasing order.\nAnswer: 106, 20, 6, 3, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c87 (base 14) in base 3?\nAnswer: -101220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.1 (b) 2\/7 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4234 + -3273. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-20))\/4)\/((-1)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(8\/(-80)*(-2160)\/(-72))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 739 - -1320. What are the prime factors of z?\nAnswer: 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 - h**2 - h**2 + 30 - 31. Is 3 a factor of n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/3 - 914*i**4 - 997990*i**3\/3 - 12971574*i**2 + 71238024*i - 87913800 = 0. Calculate i.\nAnswer: -663, -50, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a + 15. Let n be -1 - (176\/(-104) - (-2)\/(6\/3)). Sort n, a, 2\/17 in descending order.\nAnswer: a, 2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 744791 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17430*f - 2730*f + 21541*f.\nAnswer: 36241*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416 and 20400192?\nAnswer: 265202496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 2*g - 80. Let x be u(8). Let o = 0.1272 + 0.2728. Sort o, x, 12, 0.02 in descending order.\nAnswer: 12, o, 0.02, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2473031025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*n - 10. Let c be ((-18)\/24)\/((-66)\/704). Find the common denominator of -11\/34 and 154\/(-45) - (c\/n)\/(-20).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3122 - -2092. Let s be (-2)\/(-6) + y\/3. Let q = 594 + s. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1051 - 711. Suppose -92 + m = -8*j. Sort 2, j, 4.\nAnswer: j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s - 90. What are the prime factors of a(-16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 492*h + 4433. Let s be x(-9). Let l = 2.1 - 2. Which is the nearest to s? (a) -1\/3 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 2 + -7 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 v, and 1 s when four letters picked without replacement from {e: 1, v: 2, s: 1, m: 2, p: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007542409464 to 4 dps.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-40))\/(97\/(-1940)). Solve 0 = 51*v + m*v - 54 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046480753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*x, 4*v = 3*x + 38. Suppose 2*i = 3*i - v. Let k = -16 + i. Put -1, -3, k in increasing order.\nAnswer: k, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668807129.\nAnswer: 41, 1297, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**7\/2520 - 17*w**4\/6 - 26*w. Let d(n) be the third derivative of f(n). Let y(v) = 2*v - 3. Determine y(d(s)).\nAnswer: -2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, -0.5, -11, -5\/4 in increasing order.\nAnswer: -11, -5\/4, -0.5, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 17*p**2 - 56*p - 88. Calculate t(20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 2. Let u(l) = -4*l**2 - 3. Let k(a) = -3*g(a) + 2*u(a). Let q(j) = j + 28. Give q(k(z)).\nAnswer: z**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c**4\/3 + 1549*c**3\/3 + 24205*c**2 + 1128799*c\/3 - 207646\/3 = 0 for c.\nAnswer: -47, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, -4\/5, 0.04, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + n - 1. Let u(f) = -f**3 - 12*f**2 + f + 14. Let k be u(-12). Give z(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4942 = 20*w + 44*w - 6158 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.4, -0.56, -47, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4952 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 4 (b) -1\/5 (c) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 138, 241, 378, 555, 778?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98352038 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 6*h - 8*h = 5*o - 10, -9*o = -4*h - 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084499831 to 4 decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92.99 - 92.59. Which is the third biggest value? (a) o (b) -2 (c) -3\/2 (d) -6 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 35. Let v(c) = -2*c + 4. Give v(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1822*f*z**2 - 49784*f*z - 114*z**3 + 2*z wrt z.\nAnswer: -3644*f - 684*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 1, -0.1, 4, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296814440?\nAnswer: 2, 5, 13, 257, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 5. Let k(u) = -7*u + 3*u**2 - 6 + u + 0 - 2*u**2. Let y be k(6). Let w be i(y). What is the highest common divisor of w and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-355)\/20 + 11 + 6)\/(1\/12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148833959 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48.978 + 49. Let u = 0.222 - g. What is the closest to -2 in 5, 2\/13, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/10)\/(8\/(-10)). Let s = 3\/4 - d. Which is the nearest to s? (a) 4 (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 980, 1465, 1936, 2387, 2812, 3205, 3560?\nAnswer: 3871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y + 1032 = -9*y. Calculate the remainder when 59 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21\/2 (b) -2\/21 (c) 38\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 20286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 330*l - 40 = 325*l, 0 = -5*v - 2*l - 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 92 = 2*d - 0*l, 0 = 4*d + 4*l - 176. Let o be 3*-1 + d\/7. Suppose -5*v = 4*j - 42 - 3, -5*j = -25. Solve o*y = -g - 8, -y + v*y + 11 = -g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1963, 15521, 52309, 123943, 242039, 418213?\nAnswer: 664081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1050808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b + 1)*(0 - 1 + 14).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhbh. What is prob of picking 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 - g**4 + 2*g**4)*(3 + 2 - 7)*(-1 + 1 - 6*g).\nAnswer: 36*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -2, -4, -5, -15 in increasing order.\nAnswer: -26, -15, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -883*b + 6133. What are the prime factors of n(-46)?\nAnswer: 46751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -17. Suppose 36*x = l*x + 2. Solve -4*k = o + 14, -k - x = -0*k + o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -289*j. Let x(t) = -26*t**2 + 2*t. Calculate x(p(o)).\nAnswer: -2171546*o**2 - 578*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 13) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Let h(n) = -4 - 2 + 4 + 2*n. Calculate h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64884, 129761, 194638, 259515?\nAnswer: 324392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1687, -2616, -3545, -4474, -5403?\n\"Answer: -929*l - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 52\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/902 and 65\/328.\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -0.6. Let m be (-23)\/115 + (-14)\/280. Which is the third smallest value? (a) m (b) 2 (c) -2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.7 - 5.2. Let k = 1.7 + 1.3. Let x = k + a. Round x to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -0.098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2754*t - 608617. Calculate z(221).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 7:18 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3159 = -h - 3*u, 3*h - 2*u - 12636 = -h. Suppose 5*n + 2*b - h = 5*b, 4*n - 2523 = b. Suppose 5*r - n = -r. List the prime factors of r.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.907925 and -575.\nAnswer: -586.907925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**4\/24 + h**3\/2 + h**2. Let f be x(-8). Let u be 3\/(-6) - 22\/(-4). Which is the nearest to -0.1? (a) -1\/2 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*a + 700 + 7, -5*a = u + 123. Let t = u - -234. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1095169 millennia in decades?\nAnswer: 10.95169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from {u: 4, z: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**(3\/46)\/((((f\/f**(-4))\/f)\/f)\/(f*f**11)))**(-15\/2) assuming f is positive.\nAnswer: f**(-1560\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3 - 4) + 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1634*l + 5114*l - 1718*l - 1624*l.\nAnswer: 138*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 7*t**2 - t + 5. Let s be v(6). Let j be (-372)\/(-10) - (-7 - -9). Let l = s - j. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16730, 16752, 16790, 16844?\n\"Answer: 8*t**2 - 2*t + 16724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-16))\/((-6)\/(-2))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*n - 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22830680*x**5 + 8*x - 553375?\nAnswer: 456613600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 12*k**2 - 18*k - 8.\nAnswer: -2*(k + 1)**2*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 1. Let p be u(0). Calculate the remainder when 40 is divided by 2 - (p + -19) - 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = k - 84, 2*k - 4849*r + 4848*r = 21 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 5*q - 4*q)*(-q + 2 - 2) + q**2 + 9*q**2 - 7*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 350, -5, -3 in increasing order.\nAnswer: -5, -3, 1, 2, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030441 (base 9) in base 10?\nAnswer: 1614367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 - -1) + -22 + 48 + -51 + 21.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2 + 2 = 0, -5*j = 17*s + 457 - 426 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 5*x + 1. Let s be q(6). Suppose 35 = 5*j - 3*m, -j - m + s = 4*m. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a + 38834?\nAnswer: 387a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.91 and -6.8.\nAnswer: 223.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 greater than 101550\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3476?\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -92*f**3 - 14*f**2 + 7*f + 3. Let u(s) = -31*s**3 - 4*s**2 + 2*s + 1. Calculate 2*r(g) - 7*u(g).\nAnswer: 33*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x - 468 = -106*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l - 4*l + l to the form y + t*l and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5919090 (base 10) to base 16.\nAnswer: -5a5172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/9 + 8\/24. Let y = 57 + -26. What is the common denominator of 33 and (-1)\/(-10)*(y + x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 44 = -8*w, -3*x - 17806*w + 17811*w + 8 - 37 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18786 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 73 - 7 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(171) + 2 + -2.\nAnswer: 3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18089033, 18089032, 18089031, 18089030, 18089029?\nAnswer: 18089028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-22)\/(f*f\/(((f\/(f\/(f*f\/(f*f*(f**(-19)*f)\/f*f))))\/f)\/f)) assuming f is positive.\nAnswer: f**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2198 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + n)*(-1 + 1 - n**2) + 6*n**3 + 2 + n**3 - 4.\nAnswer: 6*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5932097616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37130 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdkxpcddlxxkdx. What is prob of sequence xk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 234360 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 142*r**4 + 1010094*r**3 + 341424*r**2 = 0.\nAnswer: -7113, -24\/71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1729, -1558, -1377, -1180, -961, -714, -433, -112?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:16 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -57*y - 26. Let r(o) = -6*o**2. Determine r(t(z)).\nAnswer: -19494*z**2 - 17784*z - 4056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6*z = 3*z - 3, 5 = -5*a - 5*z. Sort -8, a, -4, 1.\nAnswer: -8, -4, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.085, -21.228, -4, 4, 0.1, -3\/2?\nAnswer: -21.228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4 - f**2 - 4 + 6*f**3 - f**2 - 8*f - 4. Let o be j(6). Let y = 780 - o. What is y rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 45*x**5 - 170*x**4 - 355*x**3 + 380*x**2 + 100*x = 0?\nAnswer: -2, -2\/9, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3 + (3 - 1 + 0)*(-1 - 3 + 2) + 2 - 4 + 3)*(4*p - 3*p - 2*p) + (0 + 7 - 12)*(3 - 7 - 2)*(-4 + 3 - 1 - 2*p).\nAnswer: -59*p - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35325502769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13104 divided by 1092?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 2. Let d be k(0). Let o be 2*(-2998)\/d - 2. What is o rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*z - 33 + 69 - 29 = 0, -2*q - z = -3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/4 + 5\/45*207\/(-92).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -2.2. Let s = -0.6 - -1. Which is the smallest value? (a) g (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -3\/4, 0, 0.2, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3772 = 5*o - 3777, 3*o + 1 = 2*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5379.91 - -51.31. Let x = s - -4750. Round x to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4212717?\nAnswer: 3, 127, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 16229*l + 243436. What is s(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f + 15. Calculate b(2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8)*(-4 - -10))\/((-216)\/(-4464))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 1\/3*r**3 + 1\/24*r**4 + r**2 + 0 + 3*r. Let m(u) = 0. Calculate u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + 0 - (1440 - 1433)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -235\/3 - -79. Let m(w) be the first derivative of 3\/2*w**4 + 0*w + 2\/3*w**3 - 2\/5*w**5 - y*w**6 + 3 - w**2. Determine i, given that m(i) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 25*x = 38 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -ce?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 387723 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgmpmgmggpmgummmugp. What is prob of sequence ummm?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*w + 29 = 2*l, -3*w + 1 = -2*l. Solve -l*c = -4*c - 2*m - 13, 1 = -c - 2*m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -184*d**3 - d + 0*d**2 - 2*d**2 + 183*d**3 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 + 8*w**3 = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016696471 to the power of 1\/2, to the nearest integer?\nAnswer: 54924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y - 4 + 4)*(-17*y + 407*y + 326*y)*(2 - 5 + 2).\nAnswer: 4296*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2350, -3, 1\/4, -0.04?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 2, -4*o - 56 = -7*o - 0*b - 8*b for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388 divided by 7?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 9. Let f be a(-9). Suppose f*u = -u. Solve -2*z + 4 = -u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 3:15 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffzffizcf. Give prob of sequence ffzz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 2248?\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 35 * 249\nAnswer: 8715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*1\/12*-2)\/(97*3\/(-9))?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 46 = 5*u - 16, 0 = 4*h - 8. Let t be 180\/(-22) + u\/77. List the prime factors of (-296)\/t + 4*1.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0918569921 to four dps.\nAnswer: 0.0919","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let v = -34 + 28. Let y(o) = 2*o. Let j(l) = v*y(l) - 4*z(l). Let x(a) = 7*a**2. Give j(x(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.223 - 1.777. Which is the nearest to 0? (a) -9 (b) g (c) -2\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Suppose -5*m = -v - 4 + 5, 0 = 4*m - n*v + 3. Suppose -2*p + 5*p - 30 = m. What is the remainder when 19 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5178 - -3313?\nAnswer: -1865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037437883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 2.7.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.1 + -44.5. Let g = j + 42.4. Is -5 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a. Let x(w) = -w + 1. Let y(o) = o**2 - 7*o + 7. Let v(t) = -14*x(t) + 2*y(t). Give v(s(l)).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/159 - 332\/1113. Which is the nearest to p? (a) 4 (b) 1\/12 (c) 0.24 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.88 - 33.88. Let k = v - -32.97. Sort 0.5, 0.2, k, 1\/9 in decreasing order.\nAnswer: 0.5, 0.2, 1\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 - 2086*x**3 - 561326*x**2 - 9054450*x - 27369576 = 0. Calculate x.\nAnswer: -513, -13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 4*f - 5, m + 67*f = 66*f + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 23.\nAnswer: 16\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = 8*u - 215 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -28*z**2 + 2*z + 6. Let j be y(0). Solve 222 = -31*x - j*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -106\/1575 and -29\/3675.\nAnswer: 11025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1921*w**2 - 960*w**2 + 7 - 967*w**2 - 6*w in the form u*w + l + c*w**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*q - 10. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-55)*187\/34.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 + -2.4. Let x = 18706.0511 + -18706. Is u > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2117 by -29.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 17*k - 3. Let t be g(-3). Let d be (9\/(-6))\/(3\/t). What is the greatest common factor of 18 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(30\/135)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-7 - (1 - (8 - 4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + (sqrt(200) - (sqrt(200) + sqrt(200) + 2*sqrt(200)))*-4 + -1 + 1*-2*sqrt(200)))**2 + 4.\nAnswer: -19200*sqrt(2) + 320580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/48*12)\/((9\/(-8))\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:51 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r**2 + 0*r**2)*(-942*r**2 + 10*r + 1922*r**2 - 984*r**2 - 2).\nAnswer: -4*r**4 + 10*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (8 + (-4 - 2) + 3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 6:26 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 52*b**2 + 551*b - 63. Give z(61).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m*x**3 - 2767*m*x**2 - 2*m - 7*x**3 - 3*x**2 + 13*x + 83 wrt m?\nAnswer: 4*x**3 - 2767*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 22?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x + 33*x - c = 10, -4*x = 4*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 11, l: 1, r: 1, x: 6, i: 1}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yccccyycccppyccc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(2 + (1 - 0)). Suppose -3*y + 3 + 9 = 0. Solve -g + j*g = y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 3:57 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-16)\/(-8))\/2)\/((-2)\/(-4)). What is j in 1\/3*j**c + j + 0 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/4*j**2 - 3\/2*j - 1\/4 = 0. Calculate j.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.08082\nAnswer: -0.032328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - 38. Suppose -4*h = 5*q - 138, 3*q + 0*h = h + s. What is the highest common divisor of q and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmgmmmgg?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) -0.29 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, 3, 4\/3, 0.024?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 569, -1176, -2921, -4666?\n\"Answer: -1745*o + 2314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 + 34 = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(29\/(-7) - -4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36\/5 - 7. Let l = -44 + 50.8. Let j = 1.8 - l. Which is the biggest value? (a) x (b) -1 (c) j (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*p + 6*p. Suppose 8*i = p*i + 6. What is the third derivative of 4 - 17*b**2 - i - 8*b**6 - 1 wrt b?\nAnswer: -960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dii when three letters picked without replacement from {v: 1, z: 5, i: 5, d: 4}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3835331, 3835329, 3835327, 3835325?\nAnswer: 3835323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237\/332 + -3\/83. Let v = -6.245 + 0.045. Let t = v - -6. Sort t, p, -0.4 in descending order.\nAnswer: t, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 1. Let t be ((-2)\/4)\/((-11)\/66). What is f(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 11. Let u(b) = -10*b - 56. Suppose -57*s = -70*s - 78. Let q be u(s). What is z(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 2*z**5\/5 - 2*z**2 - 4*z. Let m(n) = -2*n. Give m(f(l)).\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 48443748 divided by 21646\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -78?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 73 - 1019. Suppose 5*b = v + 18. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 470*1 - (-13)\/13. Let n be 90\/(-60) + (v\/2 - 0). What is the highest common divisor of 36 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*l - 4 + 30 = 0, 2*l + 36 = 4*w. Calculate the remainder when 48 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.6 + 29.5982. What is o rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1, 44, 95, 12.\nAnswer: -4, -1, 0, 12, 44, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2473.8 + 2474. What is the second smallest value in 1, u, -10\/27?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140402 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (7 + (-3 - -1) + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.06, -39, 69?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.1 + 6. Sort -7, i, -2\/9.\nAnswer: -7, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611783617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**8\/224 - 3*o**7\/140 - o**6\/40 + o**2. Let a(m) = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244236 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4021 (c) 2\/9 (d) 7 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 3)\/1 + -32. Is 7\/s - 5050\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:33 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169\/69 + -4271\/1725. What is the second smallest value in -2, 20, 0.1, -2\/7, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**4 - 1820*i**3 - 15*i - 117433 with respect to i.\nAnswer: 8*i**3 - 5460*i**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2125 + 0?\nAnswer: 2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.37 + 1.93. Let i = m + -9.3000015. What is i rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k + 2*k - k)*(3 + 3 - 5)*(6 - 4 + 3) to the form y*k + u and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 23, 0.3, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyypxmy. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 12\/7 + (-152)\/(-1120). Is s smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 4*c + 9128 - 9271 in the form u*c + k and give k.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12968690 is divided by 417.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1035214\/354 + (-2)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(77\/28) + 22\/(-5). Let z = 0.09 - 0.06. Which is the nearest to z? (a) d (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 2*i**4 - 2*i**4)*(-6*i + i + 3*i) + 2*i**5 + 2*i**5 - 3*i**5 + (4*i**3 - 4*i**3 - 9*i**3)*(0 - 3 + 4)*(9*i**2 - 3*i**2 + 0*i**2).\nAnswer: -49*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -140*b + 4564. Calculate a(40).\nAnswer: -1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**3 - 6*j**2 - 70*j + 225. Let z(f) = -5*f**3 + 5*f**2 + 69*f - 225. Let p(y) = -4*h(y) - 5*z(y). Let p(d) = 0. Calculate d.\nAnswer: -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -282967\/8 and -35371 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -12*o**3 + 39*o**2 + 86*o + 1. Determine u(6).\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 20*l - 1. Let c be x(-1). Let z = c - -37. Suppose g - 82 = -2*g - w, -w - 121 = -4*g. What is the remainder when g is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*m**2 + 117*m**2 - 218*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-16)*z))\/z**(5\/4))\/(z**(-1\/4)*z*z**(-1)\/z) assuming z is positive.\nAnswer: z**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepzoozzoz. Give prob of picking 1 p and 1 o.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 222\/11 + (-10)\/55. Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -95.853 and -34.4.\nAnswer: -130.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/5 (b) -5 (c) -2\/5 (d) -2\/11 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369952 - 0.9.\nAnswer: 369951.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4359400 to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4090 (base 15) to base 5\nAnswer: 414020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 2*m + 31, 0 = -3*k + 8*k + m - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:42 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 3791950.\nAnswer: 30335600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**3 + 5*s**3 - 3*s**3)*(-s + 2*s - 1 - 2).\nAnswer: 9*s**4 - 27*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4563172*-0.5\nAnswer: 2281586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 105 = 8*m + 17, -11*n - 316 = -66*m + 64*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 13*o**2 + 11*o + 13. Let z be r(12). Let g = z + 10. Let y(f) = f**3 - 12*f**2 + 14*f - 3. Calculate the remainder when y(g) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5555826767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6 and 89\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 44 - 97 + 53.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (3872\/154 - 22)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 20 = -4*c, 389455*b - 5*c = 389451*b - 31 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4245208 is divided by 375.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - 2. Suppose 9*c - 416*m + 417*m = 241, -28 = -4*m. Calculate the remainder when x(-6) is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197 - 209. Let y(n) be the third derivative of n**4\/24 + n**3\/6 + 3*n**2. Let w(a) = -2*a - 2. Suppose 3*d + 13 = -2. Determine d*w(o) + j*y(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**3*l**3 - 3*f**3 - 992*f**2 + f*l**3 + 107*f*l**2 + 23*l**2 wrt f?\nAnswer: -18*f*l**3 - 18*f - 1984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(40\/(-3)))\/((-156)\/1560)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -19. Let w be -4 + v - (-1 - 2). Let m(c) = c - 3. Determine m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 256764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 5*r**2 - 4*r - 5. Let g be y(-4). Suppose 78 - 9 = 3*z + 3*q, 0 = q - 1. Let s = z + g. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1085 - (4 - (-255)\/(-17)) and 2.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - u - 5 = 0, -u + 10 = l + 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 8:06 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 0 - (4 + (-26 - -43) + -23)) + 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xyxuyuyx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 4426883?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 - -30012?\nAnswer: 30221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -123*s**2 + 16*s - 16. Let l(q) = 124*q**2 - 14*q + 14. Calculate 6*f(g) + 7*l(g).\nAnswer: 130*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) 2\/7 (b) 0.5 (c) 1.9 (d) -3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/3 - 705*a - 19278.\nAnswer: (a - 2142)*(a + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12914989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2805 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*m + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (69 - 26*j**4 + 2*j**3 - 69)*(7 + 26 + 26) in the form a*j**4 + z*j + m + g*j**2 + k*j**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 11*c + 15. Let q be f(13). Let m = -15 - q. Let o be 4 - (-12)\/m - 3. Sort o, -1, 2 in increasing order.\nAnswer: o, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*k = 14, 2*d = -d - 2*k + 2. Suppose d*y - 5*y + 72 = 0. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 6:58 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 12, 4, -2\/9, -12, 3 in decreasing order.\nAnswer: 12, 4, 3, -2\/9, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9695299.\nAnswer: 9695299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**7)**(-50)\/((p\/(p\/(p\/p**(10\/3)))*p)\/p**(15\/4)) assuming p is positive.\nAnswer: p**(-4139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2060*r - 54 = -2062*r - 11*w, -4*w + 1 = -3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 1\/10*k**6 - 18\/5*k**2 + 24\/5*k - 2\/5*k**3 + 47 + 33\/20*k**4 - 18\/25*k**5. Factor r(w).\nAnswer: 3*(w - 2)**3*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-40) + 378\/8. Let g = 63 - w. List the prime factors of ((-4)\/(-5)*g)\/(3\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:12 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 1*(1 - 0). Let j = f - -4. Suppose q - 3 = 2*l, -1 = j*q + q + 4*l. Solve -y - 2 = q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + r - 5 = 0, -6*o = 2*r + 5*r - 35 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = -3*p. Let d = p - -13. Solve 2*j + 2*y = y + d, 5*y - 14 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 329.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(175) + (sqrt(175) - (sqrt(175) - (0 + sqrt(175))))**2)*5 + sqrt(175) + sqrt(175)) + (sqrt(847) - (sqrt(847)*-1 + -1 + sqrt(847)))**2 + 4.\nAnswer: -1773 - 83*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261 + -140. Let a = u - 124. Sort 4, a, 7 in descending order.\nAnswer: 7, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}